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Search results for: uniformly smooth space
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4347</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: uniformly smooth space</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4347</span> Strong Convergence of an Iterative Sequence in Real Banach Spaces with Kadec Klee Property</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Umar%20Yusuf%20Batsari">Umar Yusuf Batsari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let E be a uniformly smooth and uniformly convex real Banach space and C be a nonempty, closed and convex subset of E. Let $V= \{S_i : C\to C, ~i=1, 2, 3\cdots N\}$ be a convex set of relatively nonexpansive mappings containing identity. In this paper, an iterative sequence obtained from CQ algorithm was shown to have strongly converge to a point $\hat{x}$ which is a common fixed point of relatively nonexpansive mappings in V and also solve the system of equilibrium problems in E. The result improve some existing results in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=relatively%20nonexpansive%20mappings" title="relatively nonexpansive mappings">relatively nonexpansive mappings</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20convergence" title=" strong convergence"> strong convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20problems" title=" equilibrium problems"> equilibrium problems</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20smooth%20space" title=" uniformly smooth space"> uniformly smooth space</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20convex%20space" title=" uniformly convex space"> uniformly convex space</a>, <a href="https://publications.waset.org/abstracts/search?q=convex%20set" title=" convex set"> convex set</a>, <a href="https://publications.waset.org/abstracts/search?q=kadec%20klee%20property" title=" kadec klee property"> kadec klee property</a> </p> <a href="https://publications.waset.org/abstracts/21142/strong-convergence-of-an-iterative-sequence-in-real-banach-spaces-with-kadec-klee-property" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21142.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">424</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4346</span> On Lie Groupoids, Bundles, and Their Categories</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=P.%20G.%20Romeo">P. G. Romeo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A Lie group is a highly sophisticated structure which is a smooth manifold whose underlying set of elements is equipped with the structure of a group such that the group multiplication and inverse-assigning functions are smooth. This structure was introduced by the Norwegian mathematician So- phus Lie who founded the theory of continuous groups. The Lie groups are well developed and have wide applications in areas including Mathematical Physics. There are several advances and generalizations for Lie groups and Lie groupoids is one such which is termed as a "many-object generalization" of Lie groups. A groupoid is a category whose morphisms are all invertible, obviously, every group is a groupoid but not conversely. Definition 1. A Lie groupoid G ⇒ M is a groupoid G on a base M together with smooth structures on G and M such that the maps α, β: G → M are surjective submertions, the object inclusion map x '→ 1x, M → G is smooth, and the partial multiplication G ∗ G → G is smooth. A bundle is a triple (E, p, B) where E, B are topological spaces p: E → B is a map. Space B is called the base space and space E is called total space and map p is the projection of the bundle. For each b ∈ B, the space p−1(b) is called the fibre of the bundle over b ∈ B. Intuitively a bundle is regarded as a union of fibres p−1(b) for b ∈ B parametrized by B and ’glued together’ by the topology of the space E. A cross-section of a bundle (E, p, B) is a map s: B → E such that ps = 1B. Example 1. Given any space B, a product bundle over B with fibre F is (B × F, p, B) where p is the projection on the first factor. Definition 2. A principal bundle P (M, G, π) consists of a manifold P, a Lie group G, and a free right action of G on P denoted (u, g) '→ ug, such that the orbits of the action coincide with the fibres of the surjective submersion π : P → M, and such that M is covered by the domains of local sections σ: U → P, U ⊆ M, of π. Definition 3. A Lie group bundle, or LGB, is a smooth fibre bundle (K, q, M ) in which each fibre (Km = q−1(m), and the fibre type G, has a Lie group structure, and for which there is an atlas {ψi: Ui × G → KUi } such that each {ψi,m : G → Km}, is an isomorphism of Lie groups. A morphism of LGB from (K, q, M ) to (K′, q′, M′) is a morphism (F, f ) of fibre bundles such that each Fm: Km → K′ is a morphism of Lie groups. In this paper, we will be discussing the Lie groupoid bundles. Here it is seen that to a Lie groupoid Ω on base B there is associated a collection of principal bundles Ωx(B, Ωx), all of which are mutually isomorphic and conversely, associated to any principal bundle P (B, G, p) there is a groupoid called the Ehresmann groupoid which is easily seen to be Lie. Further, some interesting properties of the category of Lie groupoids and bundles will be explored. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=groupoid" title="groupoid">groupoid</a>, <a href="https://publications.waset.org/abstracts/search?q=lie%20group" title=" lie group"> lie group</a>, <a href="https://publications.waset.org/abstracts/search?q=lie%20groupoid" title=" lie groupoid"> lie groupoid</a>, <a href="https://publications.waset.org/abstracts/search?q=bundle" title=" bundle"> bundle</a> </p> <a href="https://publications.waset.org/abstracts/173005/on-lie-groupoids-bundles-and-their-categories" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/173005.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">77</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4345</span> Algorithms for Computing of Optimization Problems with a Common Minimum-Norm Fixed Point with Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Apirak%20Sombat">Apirak Sombat</a>, <a href="https://publications.waset.org/abstracts/search?q=Teerapol%20Saleewong"> Teerapol Saleewong</a>, <a href="https://publications.waset.org/abstracts/search?q=Poom%20Kumam"> Poom Kumam</a>, <a href="https://publications.waset.org/abstracts/search?q=Parin%20Chaipunya"> Parin Chaipunya</a>, <a href="https://publications.waset.org/abstracts/search?q=Wiyada%20Kumam"> Wiyada Kumam</a>, <a href="https://publications.waset.org/abstracts/search?q=Anantachai%20Padcharoen"> Anantachai Padcharoen</a>, <a href="https://publications.waset.org/abstracts/search?q=Yeol%20Je%20Cho"> Yeol Je Cho</a>, <a href="https://publications.waset.org/abstracts/search?q=Thana%20Sutthibutpong"> Thana Sutthibutpong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research is aimed to study a two-step iteration process defined over a finite family of σ-asymptotically quasi-nonexpansive nonself-mappings. The strong convergence is guaranteed under the framework of Banach spaces with some additional structural properties including strict and uniform convexity, reflexivity, and smoothness assumptions. With similar projection technique for nonself-mapping in Hilbert spaces, we hereby use the generalized projection to construct a point within the corresponding domain. Moreover, we have to introduce the use of duality mapping and its inverse to overcome the unavailability of duality representation that is exploit by Hilbert space theorists. We then apply our results for σ-asymptotically quasi-nonexpansive nonself-mappings to solve for ideal efficiency of vector optimization problems composed of finitely many objective functions. We also showed that the obtained solution from our process is the closest to the origin. Moreover, we also give an illustrative numerical example to support our results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotically%20quasi-nonexpansive%20nonself-mapping" title="asymptotically quasi-nonexpansive nonself-mapping">asymptotically quasi-nonexpansive nonself-mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20convergence" title=" strong convergence"> strong convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point" title=" fixed point"> fixed point</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20convex%20and%20uniformly%20smooth%20Banach%20space" title=" uniformly convex and uniformly smooth Banach space"> uniformly convex and uniformly smooth Banach space</a> </p> <a href="https://publications.waset.org/abstracts/58622/algorithms-for-computing-of-optimization-problems-with-a-common-minimum-norm-fixed-point-with-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58622.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">260</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4344</span> Investigation of Heat Transfer by Natural Convection in an Open Channel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mahmoud%20S.%20Ahmed">Mahmoud S. Ahmed</a>, <a href="https://publications.waset.org/abstracts/search?q=Hany%20A.%20Mohamed"> Hany A. Mohamed</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20A.%20Omara"> Mohamed A. Omara</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20F.%20Abdeen"> Mohamed F. Abdeen </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Experimental study of natural convection heat transfer inside smooth and rough surfaces of vertical and inclined equilateral triangular channels of different inclination angles with a uniformly heated surface are performed. The inclination angle is changed from 15º to 90º. Smooth and rough surface of average roughness (0.02 mm) are used and their effect on the heat transfer characteristics are studied. The local and average heat transfer coefficients and Nusselt number are obtained for smooth and rough channels at different heat flux values, different inclination angles and different Rayleigh numbers (Ra) 6.48 × 105 ≤ Ra ≤ 4.78 × 106. The results show that the local Nusselt number decreases with increase of axial distance from the lower end of the triangular channel to a point near the upper end of channel, and then, it slightly increases. Higher values of local Nusselt number for rough channel along the axial distance compared with the smooth channel. The average Nusselt number of rough channel is higher than that of smooth channel by about 8.1% for inclined case at θ = 45o and 10% for vertical case. The results obtained are correlated using dimensionless groups for both rough and smooth surfaces of the inclined and vertical triangular channels. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=natural%20heat%20transfer%20convection" title="natural heat transfer convection">natural heat transfer convection</a>, <a href="https://publications.waset.org/abstracts/search?q=constant%20heat%20flux" title=" constant heat flux"> constant heat flux</a>, <a href="https://publications.waset.org/abstracts/search?q=open%20channels" title=" open channels"> open channels</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a> </p> <a href="https://publications.waset.org/abstracts/26024/investigation-of-heat-transfer-by-natural-convection-in-an-open-channel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26024.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">394</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4343</span> Low Complexity Deblocking Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jagroop%20Singh%20Sidhu">Jagroop Singh Sidhu</a>, <a href="https://publications.waset.org/abstracts/search?q=Buta%20Singh"> Buta Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A low computational deblocking filter including three frequency related modes (smooth mode, intermediate mode, and non-smooth mode for low-frequency, mid-frequency, and high frequency regions, respectively) is proposed. The suggested approach requires zero additions, zero subtractions, zero multiplications (for intermediate region), no divisions (for non-smooth region) and no comparison. The suggested method thus keeps the computation lower and thus suitable for image coding systems based on blocks. Comparison of average number of operations for smooth, non-smooth, intermediate (per pixel vector for each block) using filter suggested by Chen and the proposed method filter suggests that the proposed filter keeps the computation lower and is thus suitable for fast processing algorithms. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=blocking%20artifacts" title="blocking artifacts">blocking artifacts</a>, <a href="https://publications.waset.org/abstracts/search?q=computational%20complexity" title=" computational complexity"> computational complexity</a>, <a href="https://publications.waset.org/abstracts/search?q=non-smooth" title=" non-smooth"> non-smooth</a>, <a href="https://publications.waset.org/abstracts/search?q=intermediate" title=" intermediate"> intermediate</a>, <a href="https://publications.waset.org/abstracts/search?q=smooth" title=" smooth"> smooth</a> </p> <a href="https://publications.waset.org/abstracts/47157/low-complexity-deblocking-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47157.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">464</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4342</span> Determination of Agricultural Characteristics of Smooth Bromegrass (Bromus inermis Leyss) Lines under Konya Regional Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20%C3%96zk%C3%B6se">Abdullah Özköse</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmet%20Tamko%C3%A7"> Ahmet Tamkoç</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present study was conducted to determine the yield and yield components of smooth bromegrass lines under the environmental conditions of the Konya region during the growing seasons between 2011 and 2013. The experiment was performed in the randomized complete block design (RCBD) with four replications. It was found that the selected lines had a statistically significant effect on all the investigated traits, except for the main stem length and the number of nodes in the main stem. According to the two-year average calculated for various parameters checked in the smooth bromegrass lines, the main stem length ranged from 71.6 cm to 79.1 cm, the main stem diameter from 2.12 mm from 2.70 mm, the number of nodes in the main stem from 3.2 to 3.7, the internode length from 11.6 cm to 18.9 cm, flag leaf length from 9.7 cm to 12.7 cm, flag leaf width from 3.58 cm to 6.04 mm, herbage yield from 221.3 kg da<sup>–1</sup> to 354.7 kg da<sup>–1</sup> and hay yield from 100.4 kg da<sup>–1</sup> to 190.1 kg da<sup>–1</sup>. The study concluded that the smooth bromegrass lines differ in terms of yield and yield components. Therefore, it is very crucial to select suitable varieties of smooth bromegrass to obtain optimum yield. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=semiarid%20region" title="semiarid region">semiarid region</a>, <a href="https://publications.waset.org/abstracts/search?q=smooth%20bromegrass" title=" smooth bromegrass"> smooth bromegrass</a>, <a href="https://publications.waset.org/abstracts/search?q=yield" title=" yield"> yield</a>, <a href="https://publications.waset.org/abstracts/search?q=yield%20components" title=" yield components"> yield components</a> </p> <a href="https://publications.waset.org/abstracts/56865/determination-of-agricultural-characteristics-of-smooth-bromegrass-bromus-inermis-leyss-lines-under-konya-regional-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56865.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">276</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4341</span> Investigation of the Stability of the F* Iterative Algorithm on Strong Peudocontractive Mappings and Its Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Felix%20Damilola%20Ajibade">Felix Damilola Ajibade</a>, <a href="https://publications.waset.org/abstracts/search?q=Opeyemi%20O.%20Enoch"> Opeyemi O. Enoch</a>, <a href="https://publications.waset.org/abstracts/search?q=Taiwo%20Paul%20Fajusigbe"> Taiwo Paul Fajusigbe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is centered on conducting an inquiry into the stability of the F* iterative algorithm to the fixed point of a strongly pseudo-contractive mapping in the framework of uniformly convex Banach spaces. To achieve the desired result, certain existing inequalities in convex Banach spaces were utilized, as well as the stability criteria of Harder and Hicks. Other necessary conditions for the stability of the F* algorithm on strong pseudo-contractive mapping were also obtained. Through a numerical approach, we prove that the F* iterative algorithm is H-stable for strongly pseudo-contractive mapping. Finally, the solution of the mixed-type Volterra-Fredholm functional non-linear integral equation is estimated using our results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stability" title="stability">stability</a>, <a href="https://publications.waset.org/abstracts/search?q=F%2A%20-iterative%20algorithm" title=" F* -iterative algorithm"> F* -iterative algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=pseudo-contractive%20mappings" title=" pseudo-contractive mappings"> pseudo-contractive mappings</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20convex%20Banach%20space" title=" uniformly convex Banach space"> uniformly convex Banach space</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed-type%20Volterra-Fredholm%20integral%20equation" title=" mixed-type Volterra-Fredholm integral equation"> mixed-type Volterra-Fredholm integral equation</a> </p> <a href="https://publications.waset.org/abstracts/167503/investigation-of-the-stability-of-the-f-iterative-algorithm-on-strong-peudocontractive-mappings-and-its-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/167503.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">104</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4340</span> State’s Responsibility of Space Debris</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Athari%20Farhani">Athari Farhani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Abstract The existence of space debris is a direct implication of human activities in outer space. The amount of orbital debris resulting from human exploration and use of outer space has been steadily increasing in the history of human exploration and use of outer space, so that space debris in the responsibility of the launching state. Space debris not only hs a direct impact on environmentalpollution but can also harm and endanger the safety of human life. Despite the legal provisions governing the exploration and use of outer space, both international space law and liability convention, however, these legal provisions are only basic prinsiples, so that further thought or effort are needed, such as new international legal instruments to regulate the existence of space debris. The method used in this research is normative juridical with an approach to written legal regulation, especially international agreements related to space law. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=state%E2%80%99s%20responsibility" title="state’s responsibility">state’s responsibility</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20debris" title=" space debris"> space debris</a>, <a href="https://publications.waset.org/abstracts/search?q=outerspace" title=" outerspace"> outerspace</a>, <a href="https://publications.waset.org/abstracts/search?q=international%20law" title=" international law"> international law</a> </p> <a href="https://publications.waset.org/abstracts/167497/states-responsibility-of-space-debris" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/167497.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">105</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4339</span> Effects of Roughness on Forward Facing Step in an Open Channel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20M.%20Rifat">S. M. Rifat</a>, <a href="https://publications.waset.org/abstracts/search?q=Andr%C3%A9%20L.%20Marchildon"> André L. Marchildon</a>, <a href="https://publications.waset.org/abstracts/search?q=Mark%20F.%20Tachie"> Mark F. Tachie</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Experiments were performed to investigate the effects of roughness on the reattachment and redevelopment regions over a 12 mm forward facing step (FFS) in an open channel flow. The experiments were performed over an upstream smooth wall and a smooth FFS, an upstream wall coated with sandpaper 36 grit and a smooth FFS and an upstream rough wall produced from sandpaper 36 grit and a FFS coated with sandpaper 36 grit. To investigate only the wall roughness effects, Reynolds number, Froude number, aspect ratio and blockage ratio were kept constant. Upstream profiles showed reduced streamwise mean velocities close to the rough wall compared to the smooth wall, but the turbulence level was increased by upstream wall roughness. The reattachment length for the smooth-smooth wall experiment was 1.78h; however, when it is replaced with rough-smooth wall the reattachment length decreased to 1.53h. It was observed that the upstream roughness increased the physical size of contours of maximum turbulence level; however, the downstream roughness decreased both the size and magnitude of contours in the vicinity of the leading edge of the step. Quadrant analysis was performed to investigate the dominant Reynolds shear stress contribution in the recirculation region. The Reynolds shear stress and turbulent kinetic energy profiles after the reattachment showed slower recovery compared to the streamwise mean velocity, however all the profiles fairly collapse on their corresponding upstream profiles at x/h = 60. It was concluded that to obtain a complete collapse several more streamwise distances would be required. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=forward%20facing%20step" title="forward facing step">forward facing step</a>, <a href="https://publications.waset.org/abstracts/search?q=open%20channel" title=" open channel"> open channel</a>, <a href="https://publications.waset.org/abstracts/search?q=separated%20and%20reattached%20turbulent%20flows" title=" separated and reattached turbulent flows"> separated and reattached turbulent flows</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20roughness" title=" wall roughness"> wall roughness</a> </p> <a href="https://publications.waset.org/abstracts/37175/effects-of-roughness-on-forward-facing-step-in-an-open-channel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37175.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">385</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4338</span> Heat Transfer Performance for Turbulent Flow through a Tube Using Baffles</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amina%20Benabderrahmane">Amina Benabderrahmane</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelylah%20Benazza"> Abdelylah Benazza</a>, <a href="https://publications.waset.org/abstracts/search?q=Samir%20Laouedj"> Samir Laouedj</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Three dimensional numerical investigation of heat transfer enhancement inside a non-uniformly heated parabolic trough solar collector fitted with baffles under turbulent flow was studied in the current paper. Molten salt is used as heat transfer fluid and simulations are carried out in ANSYS computational fluid dynamics (CFD). The present data was validating by the empirical correlations available in the literatures and good agreement was obtained. The Nusselt number and friction factor values for using baffles are considerably higher than that for smooth pipe. The emplacement and the distance between two consecutive baffles have an effect non-negligible on heat transfer characteristics; the results demonstrate that the temperature gradient reduces with the inclusion of inserts. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Baffles" title="Baffles">Baffles</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer%20enhancement" title=" heat transfer enhancement"> heat transfer enhancement</a>, <a href="https://publications.waset.org/abstracts/search?q=molten%20salt" title=" molten salt"> molten salt</a>, <a href="https://publications.waset.org/abstracts/search?q=Monte%20Carlo%20ray%20trace%20technique" title=" Monte Carlo ray trace technique"> Monte Carlo ray trace technique</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20investigation" title=" numerical investigation "> numerical investigation </a> </p> <a href="https://publications.waset.org/abstracts/56049/heat-transfer-performance-for-turbulent-flow-through-a-tube-using-baffles" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56049.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">300</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4337</span> Effects of Upstream Wall Roughness on Separated Turbulent Flow over a Forward Facing Step in an Open Channel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20M.%20Rifat">S. M. Rifat</a>, <a href="https://publications.waset.org/abstracts/search?q=Andr%C3%A9%20L.%20Marchildon"> André L. Marchildon</a>, <a href="https://publications.waset.org/abstracts/search?q=Mark%20F.%20Tachie"> Mark F. Tachie</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The effect of upstream surface roughness over a smooth forward facing step in an open channel was investigated using a particle image velocimetry technique. Three different upstream surface topographies consisting of hydraulically smooth wall, sandpaper 36 grit and sand grains were examined. Besides the wall roughness conditions, all other upstream flow characteristics were kept constant. It was also observed that upstream roughness decreased the approach velocity by 2% and 10% but increased the turbulence intensity by 14% and 35% at the wall-normal distance corresponding to the top plane of the step compared to smooth upstream. The results showed that roughness decreased the reattachment lengths by 14% and 30% compared to smooth upstream. Although the magnitudes of maximum positive and negative Reynolds shear stress in separated and reattached region were 0.02Ue for all the cases, the physical size of both the maximum and minimum contour levels were decreased by increasing upstream roughness. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=forward%20facing%20step" title="forward facing step">forward facing step</a>, <a href="https://publications.waset.org/abstracts/search?q=open%20channel" title=" open channel"> open channel</a>, <a href="https://publications.waset.org/abstracts/search?q=separated%20and%20reattached%20turbulent%20flows" title=" separated and reattached turbulent flows"> separated and reattached turbulent flows</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20roughness" title=" wall roughness"> wall roughness</a> </p> <a href="https://publications.waset.org/abstracts/37174/effects-of-upstream-wall-roughness-on-separated-turbulent-flow-over-a-forward-facing-step-in-an-open-channel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37174.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">355</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4336</span> A New Approach for Generalized First Derivative of Nonsmooth Functions Using Optimization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Mehdi%20Mazarei">Mohammad Mehdi Mazarei</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20Asghar%20Behroozpoor"> Ali Asghar Behroozpoor</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we define an optimization problem corresponding to smooth and nonsmooth functions which its optimal solution is the first derivative of these functions in a domain. For this purpose, a linear programming problem corresponding to optimization problem is obtained. The optimal solution of this linear programming problem is the approximate generalized first derivative. In fact, we approximate generalized first derivative of nonsmooth functions as tailor series. We show the efficiency of our approach by some smooth and nonsmooth functions in some examples. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=general%20derivative" title="general derivative">general derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20programming" title=" linear programming"> linear programming</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization%20problem" title=" optimization problem"> optimization problem</a>, <a href="https://publications.waset.org/abstracts/search?q=smooth%20and%20nonsmooth%20functions" title=" smooth and nonsmooth functions"> smooth and nonsmooth functions</a> </p> <a href="https://publications.waset.org/abstracts/19425/a-new-approach-for-generalized-first-derivative-of-nonsmooth-functions-using-optimization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19425.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">557</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4335</span> Investigating Convective Boiling Heat Transfer Characteristics of R-1234ze and R-134a Refrigerants in a Microfin and Smooth Tube</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kaggwa%20Abdul">Kaggwa Abdul</a>, <a href="https://publications.waset.org/abstracts/search?q=Chi-Chuan%20Wang"> Chi-Chuan Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research is based on R-1234ze that is considered to substitute R-134a due to its low global warming potential in a microfin tube with outer diameter 9.52 mm, number of fins 70, and fin height 0.17 mm. In comparison, a smooth tube with similar geometries was used to study pressure drop and heat transfer coefficients related to the two fluids. The microfin tube was brazed inside a stainless steel tube and heated electrically. T-type thermocouples used to measure the temperature distribution during the phase change process. The experimental saturation temperatures and refrigerant mass velocities varied from 10 – 20°C and 50 – 300 kg/m2s respectively. The vapor quality from 0.1 to 0.9, and heat flux ranged from 5 – 11kW/m2. The results showed that heat transfer performance of R-134a in both microfin and smooth tube was better than R-1234ze especially at mass velocities above G = 50 kg/m2s. However, at low mass velocities below G = 100 kg/m2s R-1234ze yield better heat transfer coefficients than R-134a. The pressure gradient of R-1234ze was markedly higher than that of R-134a at all mass flow rates. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=R-1234ze%20and%20R-134a" title="R-1234ze and R-134a">R-1234ze and R-134a</a>, <a href="https://publications.waset.org/abstracts/search?q=horizontal%20flow%20boiling" title=" horizontal flow boiling"> horizontal flow boiling</a>, <a href="https://publications.waset.org/abstracts/search?q=pressure%20drop" title=" pressure drop"> pressure drop</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer%20coefficients" title=" heat transfer coefficients"> heat transfer coefficients</a>, <a href="https://publications.waset.org/abstracts/search?q=micro-fin%20and%20smooth%20tubes" title=" micro-fin and smooth tubes"> micro-fin and smooth tubes</a> </p> <a href="https://publications.waset.org/abstracts/61750/investigating-convective-boiling-heat-transfer-characteristics-of-r-1234ze-and-r-134a-refrigerants-in-a-microfin-and-smooth-tube" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/61750.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">282</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4334</span> Approximation Property Pass to Free Product</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kankeyanathan%20Kannan">Kankeyanathan Kannan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> On approximation properties of group C* algebras is everywhere; it is powerful, important, backbone of countless breakthroughs. For a discrete group G, let A(G) denote its Fourier algebra, and let M₀A(G) denote the space of completely bounded Fourier multipliers on G. An approximate identity on G is a sequence (Φn) of finitely supported functions such that (Φn) uniformly converge to constant function 1 In this paper we prove that approximation property pass to free product. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20property" title="approximation property">approximation property</a>, <a href="https://publications.waset.org/abstracts/search?q=weakly%20amenable" title=" weakly amenable"> weakly amenable</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20invariant%20approximation%20property" title=" strong invariant approximation property"> strong invariant approximation property</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20approximation%20property" title=" invariant approximation property"> invariant approximation property</a> </p> <a href="https://publications.waset.org/abstracts/44414/approximation-property-pass-to-free-product" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/44414.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">675</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4333</span> Moving Object Detection Using Histogram of Uniformly Oriented Gradient</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wei-Jong%20Yang">Wei-Jong Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Yu-Siang%20Su"> Yu-Siang Su</a>, <a href="https://publications.waset.org/abstracts/search?q=Pau-Choo%20Chung"> Pau-Choo Chung</a>, <a href="https://publications.waset.org/abstracts/search?q=Jar-Ferr%20Yang"> Jar-Ferr Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Moving object detection (MOD) is an important issue in advanced driver assistance systems (ADAS). There are two important moving objects, pedestrians and scooters in ADAS. In real-world systems, there exist two important challenges for MOD, including the computational complexity and the detection accuracy. The histogram of oriented gradient (HOG) features can easily detect the edge of object without invariance to changes in illumination and shadowing. However, to reduce the execution time for real-time systems, the image size should be down sampled which would lead the outlier influence to increase. For this reason, we propose the histogram of uniformly-oriented gradient (HUG) features to get better accurate description of the contour of human body. In the testing phase, the support vector machine (SVM) with linear kernel function is involved. Experimental results show the correctness and effectiveness of the proposed method. With SVM classifiers, the real testing results show the proposed HUG features achieve better than classification performance than the HOG ones. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=moving%20object%20detection" title="moving object detection">moving object detection</a>, <a href="https://publications.waset.org/abstracts/search?q=histogram%20of%20oriented%20gradient" title=" histogram of oriented gradient"> histogram of oriented gradient</a>, <a href="https://publications.waset.org/abstracts/search?q=histogram%20of%20uniformly-oriented%20gradient" title=" histogram of uniformly-oriented gradient"> histogram of uniformly-oriented gradient</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20support%20vector%20machine" title=" linear support vector machine"> linear support vector machine</a> </p> <a href="https://publications.waset.org/abstracts/62854/moving-object-detection-using-histogram-of-uniformly-oriented-gradient" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/62854.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">595</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4332</span> Information Society-Education Space</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Monica%20Lia">Monica Lia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper has set the objective of researching how education is influenced by the information society. The first step was to define more precisely the information space. Second step was to identify how information space intersects the family space and institutional space educational levels represented by pre-school / school and pre-university (kindergarten, at elementary / middle school / high school). Interrelationship between the above-mentioned areas was another objective of the research. All these elements have been investigated through the original intention to identify how the information space can become an educational tool to support for the family space, education and institutional space. In addition, the aim of this research is to offer some solutions in this regard. Often the educational efforts appear to be blocked by the existence of this space. However, this paper demonstrates that Informational space can be an enemy of the educational system or be support systems if we know the internal structure and mechanisms. We can make the Informational Space to work for accomplish the educational objectives. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=informational%20space" title="informational space">informational space</a>, <a href="https://publications.waset.org/abstracts/search?q=education" title=" education"> education</a>, <a href="https://publications.waset.org/abstracts/search?q=educational%20tool" title=" educational tool"> educational tool</a>, <a href="https://publications.waset.org/abstracts/search?q=social%20diagram" title=" social diagram"> social diagram</a>, <a href="https://publications.waset.org/abstracts/search?q=information" title=" information"> information</a>, <a href="https://publications.waset.org/abstracts/search?q=information%20structure" title=" information structure"> information structure</a>, <a href="https://publications.waset.org/abstracts/search?q=lessons" title=" lessons "> lessons </a> </p> <a href="https://publications.waset.org/abstracts/39912/information-society-education-space" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39912.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">334</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4331</span> Environmental and Space Travel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alimohammad">Alimohammad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Man's entry into space is one of the most important results of developments and advances made in information technology. But this human step, like many of his other actions, is not free of danger, as space pollution today has become a major problem for the global community. Paying attention to the issue of preserving the space environment is in the interest of all governments and mankind, and ignoring it can increase the possibility of conflict between countries. What many space powers still do not pay attention to is the freedom to explore and exploit space should be limited by banning pollution of the space environment. Therefore, freedom and prohibition are complementary and should not be considered conflicting concepts. The legal system created by the current space treaties for the effective preservation of the space environment has failed. Customary international law also does not have an effective provision and guarantee of sufficient executions in order to prevent damage to the environment. Considering the responsibility of each generation in the healthy transfer of the environment to the next generation and considering the sustainable development concept, the space environment must also be passed on to future generations in a healthy and undamaged manner. As a result, many environmental policies related to Earth should also be applied to the space environment.. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=law" title="law">law</a>, <a href="https://publications.waset.org/abstracts/search?q=space" title=" space"> space</a>, <a href="https://publications.waset.org/abstracts/search?q=environment" title=" environment"> environment</a>, <a href="https://publications.waset.org/abstracts/search?q=responsibility" title=" responsibility"> responsibility</a> </p> <a href="https://publications.waset.org/abstracts/161584/environmental-and-space-travel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/161584.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">85</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4330</span> Computation of ΔV Requirements for Space Debris Removal Using Orbital Transfer</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sadhvi%20Gupta">Sadhvi Gupta</a>, <a href="https://publications.waset.org/abstracts/search?q=Charulatha%20S."> Charulatha S.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Since the dawn of the early 1950s humans have launched numerous vehicles in space. Be it from rockets to rovers humans have done tremendous growth in the technology sector. While there is mostly upside for it for humans the only major downside which cannot be ignored now is the amount of junk produced in space due to it i.e. space debris. All this space junk amounts from objects we launch from earth which so remains in orbit until it re-enters the atmosphere. Space debris can be of various sizes mainly the big ones are of the dead satellites floating in space and small ones can consist of various things like paint flecks, screwdrivers, bolts etc. Tracking of small space debris whose size is less than 10 cm is impossible and can have vast implications. As the amount of space debris increases in space the chances of it hitting a functional satellite also increases. And it is extremely costly to repair or recover the satellite once hit by a revolving space debris. So the proposed solution is, Actively removing space debris while keeping space sustainability in mind. For this solution a total of 8 modules will be launched in LEO and in GEO and these models will be placed in their desired orbits through Hohmann transfer and for that calculating ΔV values is crucial. After which the modules will be placed in their designated positions in STK software and thorough analysis is conducted. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=space%20debris" title="space debris">space debris</a>, <a href="https://publications.waset.org/abstracts/search?q=Hohmann%20transfer" title=" Hohmann transfer"> Hohmann transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=STK" title=" STK"> STK</a>, <a href="https://publications.waset.org/abstracts/search?q=delta-V" title=" delta-V"> delta-V</a> </p> <a href="https://publications.waset.org/abstracts/166831/computation-of-dv-requirements-for-space-debris-removal-using-orbital-transfer" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/166831.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">86</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4329</span> Need of National Space Legislation for Space Faring Nations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Naveed">Muhammad Naveed</a>, <a href="https://publications.waset.org/abstracts/search?q=Yang%20Caixia"> Yang Caixia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The need for national space legislation is pivotal, particularly in light of the fact that in recent years space activities have grown immensely both in volume and diversity. Countries are progressively developing capabilities in space exploration and scientific discoveries, market their capabilities to manufacture satellites, provide launch services from their facilities and are looking to privatize and commercialize their space resources. Today, nations are also seeking to comprehend the technological and financial potential of the private sector and are considering to share their financial burdens with them and to limit their exposures to risks, but they are lagging behind in legal framework in this regard. In the perspective of these emerging developments, it is therefore, felt that national space legislation should be enacted with the goal of building and implementing a vibrant and transparent legal framework at the national level to hasten investments and to ensure growth in this capital intensive - highly yield strategic sector. This study looks at (I) the international legal framework that governs space activities; (II) motivation behind making national space laws; and (III) the need for national space legislation. The paper concludes with some recommendations with regards to the conceivable future direction for national space legislation, in particular space empowered sub-areas for countries. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=international%20conventions" title="international conventions">international conventions</a>, <a href="https://publications.waset.org/abstracts/search?q=national%20legislation" title=" national legislation"> national legislation</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20faring%20nations" title=" space faring nations"> space faring nations</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20law" title=" space law"> space law</a> </p> <a href="https://publications.waset.org/abstracts/73072/need-of-national-space-legislation-for-space-faring-nations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/73072.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">277</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4328</span> The Effects of Ethnicity, Personality and Religiosity on Desire for Personal Space</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ioanna%20Skoura">Ioanna Skoura</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Past research shows that personal space has been investigated since the 1950s. Also, personality traits have been found to have a significant relationship with personal space. However, some of these studies have been criticized for being ethically inappropriate. In an attempt to avoid ethical issues, a new scale measuring desire for personal space has been created. The purpose of the present study is to investigate the impact of ethnicity on desire for personal space. Additionally, extraversion and neuroticism are expected to predict significantly desire for personal space. Furthermore, the study is looking for any impact of religiosity on desire for personal space. In order to test the previous hypotheses, 115 participants from three cultural groups (English, Greeks in Greece and Greeks in the UK) are recruited online. Results indicate that only extraversion and religiosity are significant predictors of desire for personal space. Implications of the findings are discussed and suggestions for future research are made. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=ethnicity" title="ethnicity">ethnicity</a>, <a href="https://publications.waset.org/abstracts/search?q=religiosity" title=" religiosity"> religiosity</a>, <a href="https://publications.waset.org/abstracts/search?q=personality" title=" personality"> personality</a>, <a href="https://publications.waset.org/abstracts/search?q=personal%20space" title=" personal space"> personal space</a> </p> <a href="https://publications.waset.org/abstracts/83838/the-effects-of-ethnicity-personality-and-religiosity-on-desire-for-personal-space" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83838.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">201</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4327</span> Stress Concentration around Countersunk Hole in Isotropic Plate under Transverse Loading</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Parveen%20K.%20Saini">Parveen K. Saini</a>, <a href="https://publications.waset.org/abstracts/search?q=Tarun%20Agarwal"> Tarun Agarwal </a> </p> <p class="card-text"><strong>Abstract:</strong></p> An investigation into the effect of countersunk depth, plate thickness, countersunk angle and plate width on the stress concentration around countersunk hole is carried out with the help of finite element analysis. The variation of stress concentration with respect to these parameters is studied for three types of loading viz. uniformly distributed load, uniformly varying load and functionally distributed load. The results of the finite element analysis are interpreted and some conclusions are drawn. The distribution of stress concentration around countersunk hole in isotropic plates simply supported at all the edges is found similar and is independent of loading. The maximum stress concentration also occurs at a particular point irrespective of the loading conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stress%20concentration%20factor" title="stress concentration factor">stress concentration factor</a>, <a href="https://publications.waset.org/abstracts/search?q=countersunk%20hole" title=" countersunk hole"> countersunk hole</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element" title=" finite element"> finite element</a>, <a href="https://publications.waset.org/abstracts/search?q=ANSYS" title=" ANSYS"> ANSYS</a> </p> <a href="https://publications.waset.org/abstracts/15005/stress-concentration-around-countersunk-hole-in-isotropic-plate-under-transverse-loading" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15005.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">448</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4326</span> Managing the Cosmos: Problems, Solutions, and Future Insights into Space Debris</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Irfan%20Nazir%20Wani">Irfan Nazir Wani</a>, <a href="https://publications.waset.org/abstracts/search?q=Pushpendra%20Kumar%20Shukla"> Pushpendra Kumar Shukla</a>, <a href="https://publications.waset.org/abstracts/search?q=Manoj%20Kumar"> Manoj Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Debris, also called waste or junk, present in orbit of Earth or orbital debris, offers a substantial challenge to space exploration. Satellite operations and other space-based activities. This research paper delves into the causes and effects of space debris accumulation, explores current mitigation techniques, and presents a hopeful outlook on the potential for future sustainable space activities. The paper emphasizes the necessity of addressing planetary fragments to ensure durable sustainability in universe exploration and utilization. It examines various strategies for mitigating space debris, including debris removal technologies, spacecraft design improvements, and international collaboration efforts. Additionally, the paper highlights the importance of space debris monitoring and tracking systems in preventing collisions and minimizing the growth of orbital debris. By comprehending the complexities of space debris and implementing effective mitigation measures, the space industry can work towards a future where sustainable space activities are achievable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=space%20shuttle" title="space shuttle">space shuttle</a>, <a href="https://publications.waset.org/abstracts/search?q=debris" title=" debris"> debris</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20junk" title=" space junk"> space junk</a>, <a href="https://publications.waset.org/abstracts/search?q=satellite" title=" satellite"> satellite</a>, <a href="https://publications.waset.org/abstracts/search?q=fragments" title=" fragments"> fragments</a>, <a href="https://publications.waset.org/abstracts/search?q=orbit" title=" orbit"> orbit</a> </p> <a href="https://publications.waset.org/abstracts/187359/managing-the-cosmos-problems-solutions-and-future-insights-into-space-debris" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/187359.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">47</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4325</span> Variation of Streamwise and Vertical Turbulence Intensity in a Smooth and Rough Bed Open Channel Flow</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Abdullah%20Al%20Faruque">M. Abdullah Al Faruque</a>, <a href="https://publications.waset.org/abstracts/search?q=Ram%20Balachandar"> Ram Balachandar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An experimental study with four different types of bed conditions was carried out to understand the effect of roughness in open channel flow at two different Reynolds numbers. The bed conditions include a smooth surface and three different roughness conditions which were generated using sand grains with a median diameter of 2.46 mm. The three rough conditions include a surface with distributed roughness, a surface with continuously distributed roughness and a sand bed with a permeable interface. A commercial two-component fibre-optic LDA system was used to conduct the velocity measurements. The variables of interest include the mean velocity, turbulence intensity, the correlation between the streamwise and the wall normal turbulence, Reynolds shear stress and velocity triple products. Quadrant decomposition was used to extract the magnitude of the Reynolds shear stress of the turbulent bursting events. The effect of roughness was evident throughout the flow depth. The results show that distributed roughness has the greatest roughness effect followed by the sand bed and the continuous roughness. Compared to the smooth bed, the streamwise turbulence intensity reduces but the vertical turbulence intensity increases at a location very close to the bed due to the introduction of roughness. Although the same sand grain is used to create the three different rough bed conditions, the difference in the turbulence intensity is an indication that the specific geometry of the roughness has an influence on turbulence structure. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=open%20channel%20flow" title="open channel flow">open channel flow</a>, <a href="https://publications.waset.org/abstracts/search?q=smooth%20and%20rough%20bed" title=" smooth and rough bed"> smooth and rough bed</a>, <a href="https://publications.waset.org/abstracts/search?q=Reynolds%20number" title=" Reynolds number"> Reynolds number</a>, <a href="https://publications.waset.org/abstracts/search?q=turbulence" title=" turbulence"> turbulence</a> </p> <a href="https://publications.waset.org/abstracts/34228/variation-of-streamwise-and-vertical-turbulence-intensity-in-a-smooth-and-rough-bed-open-channel-flow" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34228.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">340</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4324</span> Analysis on the Development and Evolution of China’s Territorial Spatial Planning</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=He%20YuanYan">He YuanYan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In recent years, China has implemented the reform of land and space planning. As an important public policy, land and space planning plays a vital role in the construction and development of cities. Land and space planning throughout the country is in full swing, but there are still many disputes from all walks of life. The content, scope, and specific implementation process of land and space planning are also ambiguous, leading to the integration of multiple regulation problems such as unclear authority, unclear responsibilities, and poor planning results during the implementation of land and space planning. Therefore, it is necessary to sort out the development and evolution of domestic and foreign land space planning, clarify the problems and cruxes from the current situation of China's land space planning, and sort out the obstacles and countermeasures to the implementation of this policy, so as to deepen the understanding of the connotation of land space planning. It is of great practical significance for all planners to correctly understand and clarify the specific contents and methods of land space planning and to smoothly promote the implementation of land space planning at all levels. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=territorial%20spatial%20planning" title="territorial spatial planning">territorial spatial planning</a>, <a href="https://publications.waset.org/abstracts/search?q=public%20policy" title=" public policy"> public policy</a>, <a href="https://publications.waset.org/abstracts/search?q=land%20space" title=" land space"> land space</a>, <a href="https://publications.waset.org/abstracts/search?q=overall%20planning" title=" overall planning"> overall planning</a> </p> <a href="https://publications.waset.org/abstracts/159371/analysis-on-the-development-and-evolution-of-chinas-territorial-spatial-planning" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159371.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">131</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4323</span> Research on Spatial Morphology and Protection of Traditional Rural Settlements Based on Space Syntax: Taking Xiazhuang Village and Shijia Village in Huzhou as Example</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shenpu%20Liu">Shenpu Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Space syntax, a paradigm of the urban research, which manifests people’s intuitive and abstract perception of a material space with a solid mathematical way, explores how space represents its social characteristics. Taking Xiazhuang village and Shijia Village in Huzhou as an example and focusing on inward structure and street space, this article recognizes the connotative significance of the settlement with the aid of space syntax theory and quantitative analysis method from the perspective of spatial configuration to present relevant suggestions for its future planning and provides references for traditional rural settlement protection. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shijia%20village" title="Shijia village">Shijia village</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20configuration" title=" space configuration"> space configuration</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20syntax" title=" space syntax"> space syntax</a>, <a href="https://publications.waset.org/abstracts/search?q=traditional%20rural%20settlement" title=" traditional rural settlement"> traditional rural settlement</a>, <a href="https://publications.waset.org/abstracts/search?q=Xiazhuang%20village" title=" Xiazhuang village"> Xiazhuang village</a> </p> <a href="https://publications.waset.org/abstracts/84606/research-on-spatial-morphology-and-protection-of-traditional-rural-settlements-based-on-space-syntax-taking-xiazhuang-village-and-shijia-village-in-huzhou-as-example" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/84606.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">238</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4322</span> The Relationship Between The Two-spatial World And The Decrease In The Area Of Commercial Properties</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Syedhossein%20%20Vakili">Syedhossein Vakili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> According to the opinion of some experts, the world's two-spatialization means the establishment of a new virtual space and placing this new space next to the physical space. This dualization of space has left various effects, one of which is reducing the need for buildings and making the area of business premises economical through the use of virtual space instead of a part of physical space. In such a way that before the virtual space was known, a commercial or educational institution had to block a large part of its capital to acquire physical spaces and buildings in order to provide physical space and places needed for daily activities, but today, Thanks to the addition of the virtual space to the physical space, it has been possible to carry out its activities more widely in a limited environment with a minimum of physical space and drastically reduce costs. In order to understand the impact of virtual space on the reduction of physical space, the researcher used the official reports of the countries regarding the average area mentioned in the permits for the construction of commercial and educational units in the period from 2014 to 2023 and compared the average capital required for the absolute physical period with The period of two-spatialization of the world in the mentioned ten-year period, while using the analytical and comparative method, has proven that virtual space has greatly reduced the amount of investment of business owners to provide the required place for their activities by reducing the need for physical space. And economically, it has made commercial activities more profitable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=two%20spatialization" title="two spatialization">two spatialization</a>, <a href="https://publications.waset.org/abstracts/search?q=building%20area" title=" building area"> building area</a>, <a href="https://publications.waset.org/abstracts/search?q=cyberspace" title=" cyberspace"> cyberspace</a>, <a href="https://publications.waset.org/abstracts/search?q=physical%20space" title=" physical space"> physical space</a>, <a href="https://publications.waset.org/abstracts/search?q=virtual%20place" title=" virtual place"> virtual place</a> </p> <a href="https://publications.waset.org/abstracts/185870/the-relationship-between-the-two-spatial-world-and-the-decrease-in-the-area-of-commercial-properties" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/185870.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">60</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4321</span> Study on Pedestrian Street Reconstruction under Comfortable Continuous View: Take the Walking Streets of Zhengzhou City as an Example</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Liu%20Mingxin">Liu Mingxin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Streets act as the organizers of each image element on the urban spatial route, and the spatial continuity of urban streets is the basis for people to perceive the overall image of the city. This paper takes the walking space of Zhengzhou city as the research object, conducts investigation and analysis through questionnaire interviews, and selects typical walking space for in-depth study. Through the analysis of questionnaire data, the investigation and analysis of the current situation of walking space, and the analysis of pedestrian psychological behavior activities, the paper summarizes the construction suggestions of urban walking space continuity from the three aspects of the composition of walking street, the bottom interface and side interface, and the service facilities of walking space. The walking space is not only the traffic space but also the comfortable experience and the continuity of the space. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=walking%20space" title="walking space">walking space</a>, <a href="https://publications.waset.org/abstracts/search?q=spatial%20continuity" title=" spatial continuity"> spatial continuity</a>, <a href="https://publications.waset.org/abstracts/search?q=walking%20psychology" title=" walking psychology"> walking psychology</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20reconstruction" title=" space reconstruction"> space reconstruction</a> </p> <a href="https://publications.waset.org/abstracts/186586/study-on-pedestrian-street-reconstruction-under-comfortable-continuous-view-take-the-walking-streets-of-zhengzhou-city-as-an-example" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/186586.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">49</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4320</span> Topological Quantum Diffeomorphisms in Field Theory and the Spectrum of the Space-Time </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Francisco%20Bulnes">Francisco Bulnes</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Through the Fukaya conjecture and the wrapped Floer cohomology, the correspondences between paths in a loop space and states of a wrapping space of states in a Hamiltonian space (the ramification of field in this case is the connection to the operator that goes from <em>TM</em> to <em>T*M</em>) are demonstrated where these last states are corresponding to bosonic extensions of a spectrum of the space-time or direct image of the functor Spec, on space-time. This establishes a distinguished diffeomorphism defined by the mapping from the corresponding loops space to wrapping category of the Floer cohomology complex which furthermore relates in certain proportion <em>D</em>-branes (certain <em>D</em>-modules) with strings. This also gives to place to certain conjecture that establishes equivalences between moduli spaces that can be consigned in a moduli identity taking as space-time the Hitchin moduli space on <em>G</em>, whose dual can be expressed by a factor of a bosonic moduli spaces. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Floer%20cohomology" title="Floer cohomology">Floer cohomology</a>, <a href="https://publications.waset.org/abstracts/search?q=Fukaya%20conjecture" title=" Fukaya conjecture"> Fukaya conjecture</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrangian%20submanifolds" title=" Lagrangian submanifolds"> Lagrangian submanifolds</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20topological%20diffeomorphism" title=" quantum topological diffeomorphism"> quantum topological diffeomorphism</a> </p> <a href="https://publications.waset.org/abstracts/62462/topological-quantum-diffeomorphisms-in-field-theory-and-the-spectrum-of-the-space-time" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/62462.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">310</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4319</span> Smooth Second Order Nonsingular Terminal Sliding Mode Control for a 6 DOF Quadrotor UAV</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=V.%20Tabrizi">V. Tabrizi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Vali"> A. Vali</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20GHasemi"> R. GHasemi</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20Behnamgol"> V. Behnamgol</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, a nonlinear model of an under actuated six degrees of freedom (6 DOF) quadrotor UAV is derived on the basis of the Newton-Euler formula. The derivation comprises determining equations of the motion of the quadrotor in three dimensions and approximating the actuation forces through the modeling of aerodynamic coefficients and electric motor dynamics. The robust nonlinear control strategy includes a smooth second order non-singular terminal sliding mode control which is applied to stabilizing this model. The control method is on the basis of super twisting algorithm for removing the chattering and producing smooth control signal. Also, nonsingular terminal sliding mode idea is used for introducing a nonlinear sliding variable that guarantees the finite time convergence in sliding phase. Simulation results show that the proposed algorithm is robust against uncertainty or disturbance and guarantees a fast and precise control signal. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quadrotor%20UAV" title="quadrotor UAV">quadrotor UAV</a>, <a href="https://publications.waset.org/abstracts/search?q=nonsingular%20terminal%20sliding%20mode" title=" nonsingular terminal sliding mode"> nonsingular terminal sliding mode</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20order%20sliding%20mode%20t" title=" second order sliding mode t"> second order sliding mode t</a>, <a href="https://publications.waset.org/abstracts/search?q=electronics" title=" electronics"> electronics</a>, <a href="https://publications.waset.org/abstracts/search?q=control" title=" control"> control</a>, <a href="https://publications.waset.org/abstracts/search?q=signal%20processing" title=" signal processing"> signal processing</a> </p> <a href="https://publications.waset.org/abstracts/13906/smooth-second-order-nonsingular-terminal-sliding-mode-control-for-a-6-dof-quadrotor-uav" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13906.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">441</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4318</span> On the Grid Technique by Approximating the Derivatives of the Solution of the Dirichlet Problems for (1+1) Dimensional Linear Schrodinger Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lawrence%20A.%20Farinola">Lawrence A. Farinola</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Four point implicit schemes for the approximation of the first and pure second order derivatives for the solution of the Dirichlet problem for one dimensional Schrodinger equation with respect to the time variable t were constructed. Also, special four-point implicit difference boundary value problems are proposed for the first and pure second derivatives of the solution with respect to the spatial variable x. The Grid method is also applied to the mixed second derivative of the solution of the Linear Schrodinger time-dependent equation. It is assumed that the initial function belongs to the Holder space C⁸⁺ᵃ, 0 < α < 1, the Schrodinger wave function given in the Schrodinger equation is from the Holder space Cₓ,ₜ⁶⁺ᵃ, ³⁺ᵃ/², the boundary functions are from C⁴⁺ᵃ, and between the initial and the boundary functions the conjugation conditions of orders q = 0,1,2,3,4 are satisfied. It is proven that the solution of the proposed difference schemes converges uniformly on the grids of the order O(h²+ k) where h is the step size in x and k is the step size in time. Numerical experiments are illustrated to support the analysis made. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20of%20derivatives" title="approximation of derivatives">approximation of derivatives</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title=" finite difference method"> finite difference method</a>, <a href="https://publications.waset.org/abstracts/search?q=Schr%C3%B6dinger%20equation" title=" Schrödinger equation"> Schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=uniform%20error" title=" uniform error"> uniform error</a> </p> <a href="https://publications.waset.org/abstracts/99442/on-the-grid-technique-by-approximating-the-derivatives-of-the-solution-of-the-dirichlet-problems-for-11-dimensional-linear-schrodinger-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99442.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">121</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">‹</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=uniformly%20smooth%20space&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=uniformly%20smooth%20space&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=uniformly%20smooth%20space&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=uniformly%20smooth%20space&page=5">5</a></li> <li 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