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Search results for: Prime time
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class="col-md-9 mx-auto"> <form method="get" action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Prime time"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 18453</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Prime time</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18453</span> Union-Primes and Immediate Neighbors</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shai%20Sarussi">Shai Sarussi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The union of a nonempty chain of prime ideals in a noncommutative ring is not necessarily a prime ideal. An ideal is called union-prime if it is a union of a nonempty chain of prime ideals but is not a prime. In this paper, some relations between chains of prime ideals and the induced chains of union-prime ideals are shown; in particular, the cardinality of such chains and the cardinality of the sets of cuts of such chains are discussed. For a ring R and a nonempty full chain of prime ideals C of R, several characterizations for the property of immediate neighbors in C are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=prime%20ideals" title="prime ideals">prime ideals</a>, <a href="https://publications.waset.org/abstracts/search?q=union-prime%20ideals" title=" union-prime ideals"> union-prime ideals</a>, <a href="https://publications.waset.org/abstracts/search?q=immediate%20neighbors" title=" immediate neighbors"> immediate neighbors</a>, <a href="https://publications.waset.org/abstracts/search?q=Kaplansky%27s%20conjecture" title=" Kaplansky's conjecture"> Kaplansky's conjecture</a> </p> <a href="https://publications.waset.org/abstracts/131024/union-primes-and-immediate-neighbors" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/131024.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">18452</span> Performance Analysis and Comparison of Various 1-D and 2-D Prime Codes for OCDMA Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gurjit%20Kaur">Gurjit Kaur</a>, <a href="https://publications.waset.org/abstracts/search?q=Shashank%20Johri"> Shashank Johri</a>, <a href="https://publications.waset.org/abstracts/search?q=Arpit%20Mehrotra"> Arpit Mehrotra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we have analyzed and compared the performance of various coding schemes. The basic ID prime sequence codes are unique in only dimension i.e. time slots whereas 2D coding techniques are not unique by their time slots but with their wavelengths also. In this research we have evaluated and compared the performance of 1D and 2D coding techniques constructed using prime sequence coding pattern for OCDMA system on a single platform. Results shows that 1D Extended Prime Code (EPC) can support more number of active users compared to other codes but at the expense of larger code length which further increases the complexity of the code. Modified Prime Code (MPC) supports lesser number of active users at λc=2 but it has a lesser code length as compared to 1D prime code. Analysis shows that 2D prime code supports lesser number of active users than 1D codes but they are having large code family and are the most secure codes compared to other codes. The performance of all these codes is analyzed on basis of number of active users supported at a Bit Error Rate (BER) of 10-9. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CDMA" title="CDMA">CDMA</a>, <a href="https://publications.waset.org/abstracts/search?q=OCDMA" title=" OCDMA"> OCDMA</a>, <a href="https://publications.waset.org/abstracts/search?q=BER" title=" BER"> BER</a>, <a href="https://publications.waset.org/abstracts/search?q=OOC" title=" OOC"> OOC</a>, <a href="https://publications.waset.org/abstracts/search?q=PC" title=" PC"> PC</a>, <a href="https://publications.waset.org/abstracts/search?q=EPC" title=" EPC"> EPC</a>, <a href="https://publications.waset.org/abstracts/search?q=MPC" title=" MPC"> MPC</a>, <a href="https://publications.waset.org/abstracts/search?q=2-D%20PC%2FPC" title=" 2-D PC/PC"> 2-D PC/PC</a>, <a href="https://publications.waset.org/abstracts/search?q=%CE%BBc" title=" λc"> λc</a>, <a href="https://publications.waset.org/abstracts/search?q=%CE%BBa" title=" λa"> λa</a> </p> <a href="https://publications.waset.org/abstracts/35194/performance-analysis-and-comparison-of-various-1-d-and-2-d-prime-codes-for-ocdma-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35194.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">510</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">18451</span> Gender and Advertisements: A Content Analysis of Pakistani Prime Time Advertisements</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aaminah%20Hassan">Aaminah Hassan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Advertisements carry a great potential to influence our lives because they are crafted to meet particular ends. Stereotypical representation in advertisements is capable of forming unconscious attitudes among people towards any gender and their abilities. This study focuses on gender representation in Pakistani prime time advertisements. For this purpose, 13 advertisements were selected from three different categories of foods and beverages, cosmetics, cell phones and cellular networks from the prime time slots of one of the leading Pakistani entertainment channel, ‘Urdu 1’. Both quantitative and qualitative analyses are carried out for range of variables like gender, age, roles, activities, setting, appearance and voice overs. The results revealed that gender representation in advertisements is stereotypical. Moreover, in few instances, the portrayal of women is not only culturally inappropriate but is demeaning to the image of women as well. Their bodily charm is used to promote products. Comparing different entertainment channels for their prime time advertisements and broadening the scope of this research will yield greater implications for the researchers who want to carry out the similar research. It is hoped that the current study would help in the promotion of media literacy among the viewers and media authorities in Pakistan. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Advertisements" title="Advertisements">Advertisements</a>, <a href="https://publications.waset.org/abstracts/search?q=Content%20Analysis" title=" Content Analysis"> Content Analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=Gender" title=" Gender"> Gender</a>, <a href="https://publications.waset.org/abstracts/search?q=Prime%20time" title=" Prime time"> Prime time</a> </p> <a href="https://publications.waset.org/abstracts/91896/gender-and-advertisements-a-content-analysis-of-pakistani-prime-time-advertisements" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91896.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">214</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">18450</span> Pairwise Relative Primality of Integers and Independent Sets of Graphs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jerry%20Hu">Jerry Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let G = (V, E) with V = {1, 2, ..., k} be a graph, the k positive integers a₁, a₂, ..., ak are G-wise relatively prime if (aᵢ, aⱼ ) = 1 for {i, j} ∈ E. We use an inductive approach to give an asymptotic formula for the number of k-tuples of integers that are G-wise relatively prime. An exact formula is obtained for the probability that k positive integers are G-wise relatively prime. As a corollary, we also provide an exact formula for the probability that k positive integers have exactly r relatively prime pairs. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=graph" title="graph">graph</a>, <a href="https://publications.waset.org/abstracts/search?q=independent%20set" title=" independent set"> independent set</a>, <a href="https://publications.waset.org/abstracts/search?q=G-wise%20relatively%20prime" title=" G-wise relatively prime"> G-wise relatively prime</a>, <a href="https://publications.waset.org/abstracts/search?q=probability" title=" probability"> probability</a> </p> <a href="https://publications.waset.org/abstracts/162507/pairwise-relative-primality-of-integers-and-independent-sets-of-graphs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/162507.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">92</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">18449</span> Performance Evaluation of One and Two Dimensional Prime Codes for Optical Code Division Multiple Access Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gurjit%20Kaur">Gurjit Kaur</a>, <a href="https://publications.waset.org/abstracts/search?q=Neena%20Gupta"> Neena Gupta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we have analyzed and compared the performance of various coding schemes. The basic ID prime sequence codes are unique in only dimension, i.e. time slots, whereas 2D coding techniques are not unique by their time slots but with their wavelengths also. In this research, we have evaluated and compared the performance of 1D and 2D coding techniques constructed using prime sequence coding pattern for Optical Code Division Multiple Access (OCDMA) system on a single platform. Analysis shows that 2D prime code supports lesser number of active users than 1D codes, but they are having large code family and are the most secure codes compared to other codes. The performance of all these codes is analyzed on basis of number of active users supported at a Bit Error Rate (BER) of 10-9. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CDMA" title="CDMA">CDMA</a>, <a href="https://publications.waset.org/abstracts/search?q=OCDMA" title=" OCDMA"> OCDMA</a>, <a href="https://publications.waset.org/abstracts/search?q=BER" title=" BER"> BER</a>, <a href="https://publications.waset.org/abstracts/search?q=OOC" title=" OOC"> OOC</a>, <a href="https://publications.waset.org/abstracts/search?q=PC" title=" PC"> PC</a>, <a href="https://publications.waset.org/abstracts/search?q=EPC" title=" EPC"> EPC</a>, <a href="https://publications.waset.org/abstracts/search?q=MPC" title=" MPC"> MPC</a>, <a href="https://publications.waset.org/abstracts/search?q=2-D%20PC%2FPC" title=" 2-D PC/PC"> 2-D PC/PC</a>, <a href="https://publications.waset.org/abstracts/search?q=%CE%BBc" title=" λc"> λc</a>, <a href="https://publications.waset.org/abstracts/search?q=%CE%BBa" title=" λa"> λa</a> </p> <a href="https://publications.waset.org/abstracts/45035/performance-evaluation-of-one-and-two-dimensional-prime-codes-for-optical-code-division-multiple-access-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45035.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">337</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">18448</span> A Discovery of the Dual Sequential Pattern of Prime Numbers in P x P: Applications in a Formal Proof of the Twin-Prime Conjecture</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yingxu%20Wang">Yingxu Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work presents basic research on the recursive structures and dual sequential patterns of primes for the formal proof of the Twin-Prime Conjecture (TPC). A rigorous methodology of Twin-Prime Decomposition (TPD) is developed in MATLAB to inductively verify potential twins in the dual sequences of primes. The key finding of this basic study confirms that the dual sequences of twin primes are not only symmetric but also infinitive in the unique base 6 cycle, except a limited subset of potential pairs is eliminated by the lack of dual primality. Both theory and experiments have formally proven that the infinity of twin primes stated in TPC holds in the P x P space. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=number%20theory" title="number theory">number theory</a>, <a href="https://publications.waset.org/abstracts/search?q=primes" title=" primes"> primes</a>, <a href="https://publications.waset.org/abstracts/search?q=twin-prime%20conjecture" title=" twin-prime conjecture"> twin-prime conjecture</a>, <a href="https://publications.waset.org/abstracts/search?q=dual%20primes%20%28P%20x%20P%29" title=" dual primes (P x P)"> dual primes (P x P)</a>, <a href="https://publications.waset.org/abstracts/search?q=twin%20prime%20decomposition" title=" twin prime decomposition"> twin prime decomposition</a>, <a href="https://publications.waset.org/abstracts/search?q=formal%20proof" title=" formal proof"> formal proof</a>, <a href="https://publications.waset.org/abstracts/search?q=algorithm" title=" algorithm"> algorithm</a> </p> <a href="https://publications.waset.org/abstracts/182326/a-discovery-of-the-dual-sequential-pattern-of-prime-numbers-in-p-x-p-applications-in-a-formal-proof-of-the-twin-prime-conjecture" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/182326.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">64</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">18447</span> On Modules over Dedekind Prime Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elvira%20Kusniyanti">Elvira Kusniyanti</a>, <a href="https://publications.waset.org/abstracts/search?q=Hanni%20Garminia"> Hanni Garminia</a>, <a href="https://publications.waset.org/abstracts/search?q=Pudji%20Astuti"> Pudji Astuti</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research studies an interconnection between finitely generated uniform modules and Dedekind prime rings. The characterization of modules over Dedekind prime rings that will be investigated is an adoption of Noetherian and hereditary concept. Dedekind prime rings are Noetherian and hereditary rings. This property of Dedekind prime rings is a background of the idea of adopting arises. In Noetherian area, it was known that a ring R is Noetherian ring if and only if every finitely generated R-module is a Noetherian module. Similar to that result, a characterization of the hereditary ring is related to its projective modules. That is, a ring R is hereditary ring if and only if every projective R-module is a hereditary module. Due to the above two results, we suppose that characterization of a Dedekind prime ring can be analyzed from finitely generated modules over it. We propose a conjecture: a ring R is a Dedekind prime ring if and only if every finitely generated uniform R-module is a Dedekind module. In this article, we will generalize a concept of the Dedekind module for non-commutative ring case and present a part of the above conjecture. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dedekind%20domains" title="dedekind domains">dedekind domains</a>, <a href="https://publications.waset.org/abstracts/search?q=dedekind%20prime%20rings" title=" dedekind prime rings"> dedekind prime rings</a>, <a href="https://publications.waset.org/abstracts/search?q=dedekind%20modules" title=" dedekind modules"> dedekind modules</a>, <a href="https://publications.waset.org/abstracts/search?q=uniform%20modules" title=" uniform modules"> uniform modules</a> </p> <a href="https://publications.waset.org/abstracts/32475/on-modules-over-dedekind-prime-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32475.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">18446</span> Pythagorean-Platonic Lattice Method for Finding all Co-Prime Right Angle Triangles</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anthony%20Overmars">Anthony Overmars</a>, <a href="https://publications.waset.org/abstracts/search?q=Sitalakshmi%20Venkatraman"> Sitalakshmi Venkatraman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a method for determining all of the co-prime right angle triangles in the Euclidean field by looking at the intersection of the Pythagorean and Platonic right angle triangles and the corresponding lattice that this produces. The co-prime properties of each lattice point representing a unique right angle triangle are then considered. This paper proposes a conjunction between these two ancient disparaging theorists. This work has wide applications in information security where cryptography involves improved ways of finding tuples of prime numbers for secure communication systems. In particular, this paper has direct impact in enhancing the encryption and decryption algorithms in cryptography. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pythagorean%20triples" title="Pythagorean triples">Pythagorean triples</a>, <a href="https://publications.waset.org/abstracts/search?q=platonic%20triples" title=" platonic triples"> platonic triples</a>, <a href="https://publications.waset.org/abstracts/search?q=right%20angle%20triangles" title=" right angle triangles"> right angle triangles</a>, <a href="https://publications.waset.org/abstracts/search?q=co-prime%20numbers" title=" co-prime numbers"> co-prime numbers</a>, <a href="https://publications.waset.org/abstracts/search?q=cryptography" title=" cryptography"> cryptography</a> </p> <a href="https://publications.waset.org/abstracts/80590/pythagorean-platonic-lattice-method-for-finding-all-co-prime-right-angle-triangles" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80590.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">239</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">18445</span> A Proof for Goldbach's Conjecture</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hashem%20Sazegar">Hashem Sazegar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In 1937, Vinograd of Russian Mathematician proved that each odd large number can be shown by three primes. In 1973, Chen Jingrun proved that each odd number can be shown by one prime plus a number that has maximum two primes. In this article, we state one proof for Goldbach’conjecture. Introduction: Bertrand’s postulate state for every positive integer n, there is always at least one prime p, such that n < p < 2n. This was first proved by Chebyshev in 1850, which is why postulate is also called the Bertrand-Chebyshev theorem. Legendre’s conjecture states that there is a prime between n2 and (n+1)2 for every positive integer n, which is one of the four Landau’s problems. The rest of these four basic problems are; (i) Twin prime conjecture: There are infinitely many primes p such that p+2 is a prime. (ii) Goldbach’s conjecture: Every even integer n > 2 can be written asthe sum of two primes. (iii) Are there infinitely many primes p such that p−1 is a perfect square? Problems (i), (ii), and (iii) are open till date. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bertrand-Chebyshev%20theorem" title="Bertrand-Chebyshev theorem">Bertrand-Chebyshev theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=Landau%E2%80%99s%20problems" title=" Landau’s problems"> Landau’s problems</a>, <a href="https://publications.waset.org/abstracts/search?q=twin%20prime" title=" twin prime"> twin prime</a>, <a href="https://publications.waset.org/abstracts/search?q=Legendre%E2%80%99s%20conjecture" title=" Legendre’s conjecture"> Legendre’s conjecture</a>, <a href="https://publications.waset.org/abstracts/search?q=Oppermann%E2%80%99s%20conjecture" title=" Oppermann’s conjecture"> Oppermann’s conjecture</a> </p> <a href="https://publications.waset.org/abstracts/30678/a-proof-for-goldbachs-conjecture" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30678.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">402</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">18444</span> The Priming Effect of Morphology, Phonology, Semantics, and Orthography in Mandarin Chinese: A Prime Paradigm Study</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bingqing%20Xu">Bingqing Xu</a>, <a href="https://publications.waset.org/abstracts/search?q=Wenxing%20Shuai"> Wenxing Shuai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the priming effects of different Chinese compound words by native Mandarin speakers. There are lots of homonym, polysemy, and synonym in Chinese. However, it is unclear which kind of words have the biggest priming effect. Native Mandarin speakers were tested in a visual-word lexical decision experiment. The stimuli, which are all two-character compound words, consisted of two parts: primes and targets. Five types of relationships were used in all stimuli: morphologically related condition, in which the prime and the target contain the same morpheme; orthographically related condition, in which the target and the prime contain the different morpheme with the same form; phonologically related condition, in which the target and the prime contain the different morpheme with the same phonology; semantically related condition, in which the target and the prime contain the different morpheme with similar meanings; totally unrelated condition. The time since participants saw the target to respond was recorded. Analyses on reaction time showed that the average reaction time of morphologically related targets was much shorter than others, suggesting the morphological priming effect is the biggest. However, the reaction time of the phonologically related conditions was the longest, even longer than unrelated conditions. According to scatter plots analyses, 86.7% of participants had priming effects in morphologically related conditions, only 20% of participants had priming effects in phonologically related conditions. These results suggested that morphologically related conditions had the biggest priming effect. The orthographically and semantically related conditions also had priming effects, whereas the phonologically related conditions had few priming effects. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=priming%20effect" title="priming effect">priming effect</a>, <a href="https://publications.waset.org/abstracts/search?q=morphology" title=" morphology"> morphology</a>, <a href="https://publications.waset.org/abstracts/search?q=phonology" title=" phonology"> phonology</a>, <a href="https://publications.waset.org/abstracts/search?q=semantics" title=" semantics"> semantics</a>, <a href="https://publications.waset.org/abstracts/search?q=orthography" title=" orthography"> orthography</a> </p> <a href="https://publications.waset.org/abstracts/135493/the-priming-effect-of-morphology-phonology-semantics-and-orthography-in-mandarin-chinese-a-prime-paradigm-study" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/135493.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">146</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">18443</span> A Study of General Attacks on Elliptic Curve Discrete Logarithm Problem over Prime Field and Binary Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tun%20Myat%20Aung">Tun Myat Aung</a>, <a href="https://publications.waset.org/abstracts/search?q=Ni%20Ni%20Hla"> Ni Ni Hla</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper begins by describing basic properties of finite field and elliptic curve cryptography over prime field and binary field. Then we discuss the discrete logarithm problem for elliptic curves and its properties. We study the general common attacks on elliptic curve discrete logarithm problem such as the Baby Step, Giant Step method, Pollard’s rho method and Pohlig-Hellman method, and describe in detail experiments of these attacks over prime field and binary field. The paper finishes by describing expected running time of the attacks and suggesting strong elliptic curves that are not susceptible to these attacks.c <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=discrete%20logarithm%20problem" title="discrete logarithm problem">discrete logarithm problem</a>, <a href="https://publications.waset.org/abstracts/search?q=general%20attacks" title=" general attacks"> general attacks</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20curve" title=" elliptic curve"> elliptic curve</a>, <a href="https://publications.waset.org/abstracts/search?q=prime%20field" title=" prime field"> prime field</a>, <a href="https://publications.waset.org/abstracts/search?q=binary%20field" title=" binary field"> binary field</a> </p> <a href="https://publications.waset.org/abstracts/82212/a-study-of-general-attacks-on-elliptic-curve-discrete-logarithm-problem-over-prime-field-and-binary-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/82212.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">233</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">18442</span> Prime Graphs of Polynomials and Power Series Over Non-Commutative Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Walaa%20Obaidallah%20Alqarafi">Walaa Obaidallah Alqarafi</a>, <a href="https://publications.waset.org/abstracts/search?q=Wafaa%20Mohammed%20Fakieh"> Wafaa Mohammed Fakieh</a>, <a href="https://publications.waset.org/abstracts/search?q=Alaa%20Abdallah%20Altassan"> Alaa Abdallah Altassan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Algebraic graph theory is defined as a bridge between algebraic structures and graphs. It has several uses in many fields, including chemistry, physics, and computer science. The prime graph is a type of graph associated with a ring R, where the vertex set is the whole ring R, and two vertices x and y are adjacent if either xRy=0 or yRx=0. However, the investigation of the prime graph over rings remains relatively limited. The behavior of this graph in extended rings, like R[x] and R[[x]], where R is a non-commutative ring, deserves more attention because of the wider applicability in algebra and other mathematical fields. To study the prime graphs over polynomials and power series rings, we used a combination of ring-theoretic and graph-theoretic techniques. This paper focuses on two invariants: the diameter and the girth of these graphs. Furthermore, the work discusses how the graph structures change when passing from R to R[x] and R[[x]]. In our study, we found that the set of strong zero-divisors of ring R represents the set of vertices in prime graphs. Based on this discovery, we redefined the vertices of prime graphs using the definition of strong zero divisors. Additionally, our results show that although the prime graphs of R[x] and R[[x]] are comparable to the graph of R, they have different combinatorial characteristics since these extensions contain new strong zero-divisors. In particular, we find conditions in which the diameter and girth of the graphs, as they expand from R to R[x] and R[[x]], do not change or do change. In conclusion, this study shows how extending a non-commutative ring R to R[x] and R[[x]] affects the structure of their prime graphs, particularly in terms of diameter and girth. These findings enhance the understanding of the relationship between ring extensions and graph properties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=prime%20graph" title="prime graph">prime graph</a>, <a href="https://publications.waset.org/abstracts/search?q=diameter" title=" diameter"> diameter</a>, <a href="https://publications.waset.org/abstracts/search?q=girth" title=" girth"> girth</a>, <a href="https://publications.waset.org/abstracts/search?q=polynomial%20ring" title=" polynomial ring"> polynomial ring</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20series%20ring" title=" power series ring"> power series ring</a> </p> <a href="https://publications.waset.org/abstracts/192430/prime-graphs-of-polynomials-and-power-series-over-non-commutative-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192430.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">18</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">18441</span> Preliminary Geophysical Assessment of Soil Contaminants around Wacot Rice Factory Argungu, North-Western Nigeria</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20I.%20Augie">A. I. Augie</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Alhassan"> Y. Alhassan</a>, <a href="https://publications.waset.org/abstracts/search?q=U.%20Z.%20Magawata"> U. Z. Magawata</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Geophysical investigation was carried out at wacot rice factory Argungu north-western Nigeria, using the 2D electrical resistivity method. The area falls between latitude 12˚44′23ʺN to 12˚44′50ʺN and longitude 4032′18′′E to 4032′39′′E covering a total area of about 1.85 km. Two profiles were carried out with Wenner configuration using resistivity meter (Ohmega). The data obtained from the study area were modeled using RES2DIVN software which gave an automatic interpretation of the apparent resistivity data. The inverse resistivity models of the profiles show the high resistivity values ranging from 208 Ωm to 651 Ωm. These high resistivity values in the overburden were due to dryness and compactness of the strata that lead to consolidation, which is an indication that the area is free from leachate contaminations. However, from the inverse model, there are regions of low resistivity values (1 Ωm to 18 Ωm), these zones were observed and identified as clayey and the most contaminated zones. The regions of low resistivity thereby indicated the leachate plume or the highly leachate concentrated zones due to similar resistivity values in both clayey and leachate. The regions of leachate are mainly from the factory into the surrounding area and its groundwater. The maximum leachate infiltration was found at depths 1 m to 15.9 m (P1) and 6 m to 15.9 m (P2) vertically, as well as distance along the profiles from 67 m to 75 m (P1), 155 m to 180 m (P1), and 115 m to 192 m (P2) laterally. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=contaminant" title="contaminant">contaminant</a>, <a href="https://publications.waset.org/abstracts/search?q=leachate" title=" leachate"> leachate</a>, <a href="https://publications.waset.org/abstracts/search?q=soil" title=" soil"> soil</a>, <a href="https://publications.waset.org/abstracts/search?q=groundwater" title=" groundwater"> groundwater</a>, <a href="https://publications.waset.org/abstracts/search?q=electrical" title=" electrical"> electrical</a>, <a href="https://publications.waset.org/abstracts/search?q=resistivity" title=" resistivity"> resistivity</a> </p> <a href="https://publications.waset.org/abstracts/114399/preliminary-geophysical-assessment-of-soil-contaminants-around-wacot-rice-factory-argungu-north-western-nigeria" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/114399.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">160</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">18440</span> On the Cyclic Property of Groups of Prime Order</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ying%20Yi%20Wu">Ying Yi Wu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The study of finite groups is a central topic in algebraic structures, and one of the most fundamental questions in this field is the classification of finite groups up to isomorphism. In this paper, we investigate the cyclic property of groups of prime order, which is a crucial result in the classification of finite abelian groups. We prove the following statement: If p is a prime, then every group G of order p is cyclic. Our proof utilizes the properties of group actions and the class equation, which provide a powerful tool for studying the structure of finite groups. In particular, we first show that any non-identity element of G generates a cyclic subgroup of G. Then, we establish the existence of an element of order p, which implies that G is generated by a single element. Finally, we demonstrate that any two generators of G are conjugate, which shows that G is a cyclic group. Our result has significant implications in the classification of finite groups, as it implies that any group of prime order is isomorphic to the cyclic group of the same order. Moreover, it provides a useful tool for understanding the structure of more complicated finite groups, as any finite abelian group can be decomposed into a direct product of cyclic groups. Our proof technique can also be extended to other areas of group theory, such as the classification of finite p-groups, where p is a prime. Therefore, our work has implications beyond the specific result we prove and can contribute to further research in algebraic structures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=group%20theory" title="group theory">group theory</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20groups" title=" finite groups"> finite groups</a>, <a href="https://publications.waset.org/abstracts/search?q=cyclic%20groups" title=" cyclic groups"> cyclic groups</a>, <a href="https://publications.waset.org/abstracts/search?q=prime%20order" title=" prime order"> prime order</a>, <a href="https://publications.waset.org/abstracts/search?q=classification." title=" classification."> classification.</a> </p> <a href="https://publications.waset.org/abstracts/163778/on-the-cyclic-property-of-groups-of-prime-order" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163778.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">84</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">18439</span> Some Properties in Jordan Ideal on 3-Prime Near-Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdelkarim%20Boua">Abdelkarim Boua</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelhakim%20Chillali"> Abdelhakim Chillali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The study of non-associative structures in algebraic structures has become a separate entity; for, in the case of groups, their corresponding non-associative structure i.e. loops is dealt with separately. Similarly there is vast amount of research on the nonassociative structures of semigroups i.e. groupoids and that of rings i.e. nonassociative rings. However it is unfortunate that we do not have a parallel notions or study of non-associative near-rings. In this work we shall attempt to generalize a few known results and study the commutativity of Jordan ideal in 3-prime near-rings satisfying certain identities involving the Jordan ideal. We study the derivations satisfying certain differential identities on Jordan ideals of 3-prime near-rings. Moreover, we provide examples to show that hypothesis of our results are necessary. We give some new results and examples concerning the existence of Jordan ideal and derivations in near-rings. These near-rings can be used to build a new codes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=3-prime%20near-rings" title="3-prime near-rings">3-prime near-rings</a>, <a href="https://publications.waset.org/abstracts/search?q=near-rings" title=" near-rings"> near-rings</a>, <a href="https://publications.waset.org/abstracts/search?q=Jordan%20ideal" title=" Jordan ideal"> Jordan ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=derivations" title=" derivations"> derivations</a> </p> <a href="https://publications.waset.org/abstracts/52456/some-properties-in-jordan-ideal-on-3-prime-near-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52456.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">306</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">18438</span> Occurrence of High Nocturnal Surface Ozone at a Tropical Urban Area</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Dey">S. Dey</a>, <a href="https://publications.waset.org/abstracts/search?q=P.%20Sibanda"> P. Sibanda</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Gupta"> S. Gupta</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Chakraborty"> A. Chakraborty</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The occurrence of high nocturnal surface ozone over a tropical urban area (23̊ 32′16.99″ N and 87̊ 17′ 38.95″ E) is analyzed in this paper. Five incidences of nocturnal ozone maxima are recorded during the observational span of two years (June, 2013 to May, 2015). The maximum and minimum values of the surface ozone during these five occasions are 337.630 μg/m<sup>3</sup> and 13.034 μg/m<sup>3</sup> respectively. HYSPLIT backward trajectory analyses and wind rose diagrams support the horizontal transport of ozone from distant polluted places. Planetary boundary layer characteristics, concentration of precursor (NO<sub>2</sub>) and meteorology are found to play important role in the horizontal and vertical transport of surface ozone during nighttime. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nocturnal%20ozone" title="nocturnal ozone">nocturnal ozone</a>, <a href="https://publications.waset.org/abstracts/search?q=planetary%20boundary%20layer" title=" planetary boundary layer"> planetary boundary layer</a>, <a href="https://publications.waset.org/abstracts/search?q=horizontal%20transport" title=" horizontal transport"> horizontal transport</a>, <a href="https://publications.waset.org/abstracts/search?q=meteorology" title=" meteorology"> meteorology</a>, <a href="https://publications.waset.org/abstracts/search?q=urban%20area" title=" urban area"> urban area</a> </p> <a href="https://publications.waset.org/abstracts/53051/occurrence-of-high-nocturnal-surface-ozone-at-a-tropical-urban-area" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/53051.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">286</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">18437</span> A Method for solving Legendre's Conjecture</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hashem%20Sazegar">Hashem Sazegar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Legendre’s conjecture states that there is a prime number between n^2 and (n + 1)^2 for every positive integer n. In this paper we prove that every composite number between n2 and (n + 1)2 can be written u^2 − v^2 or u^2 − v^2 + u − v that u > 0 and v ≥ 0. Using these result as well as induction and residues (modq) we prove Legendre’s conjecture. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bertrand-chebyshev%20theorem" title="bertrand-chebyshev theorem">bertrand-chebyshev theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=landau%E2%80%99s%20problems" title=" landau’s problems"> landau’s problems</a>, <a href="https://publications.waset.org/abstracts/search?q=goldbach%E2%80%99s%20conjecture" title=" goldbach’s conjecture"> goldbach’s conjecture</a>, <a href="https://publications.waset.org/abstracts/search?q=twin%20prime" title=" twin prime"> twin prime</a>, <a href="https://publications.waset.org/abstracts/search?q=ramanujan%20proof" title=" ramanujan proof"> ramanujan proof</a> </p> <a href="https://publications.waset.org/abstracts/30842/a-method-for-solving-legendres-conjecture" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30842.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">360</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">18436</span> Cubical Representation of Prime and Essential Prime Implicants of Boolean Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Saurabh%20Rawat">Saurabh Rawat</a>, <a href="https://publications.waset.org/abstracts/search?q=Anushree%20Sah"> Anushree Sah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> K Maps are generally and ideally, thought to be simplest form for obtaining solution of Boolean equations. Cubical Representation of Boolean equations is an alternate pick to incur a solution, otherwise to be meted out with Truth Tables, Boolean Laws, and different traits of Karnaugh Maps. Largest possible k- cubes that exist for a given function are equivalent to its prime implicants. A technique of minimization of Logic functions is tried to be achieved through cubical methods. The main purpose is to make aware and utilise the advantages of cubical techniques in minimization of Logic functions. All this is done with an aim to achieve minimal cost solution.r <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=K-maps" title="K-maps">K-maps</a>, <a href="https://publications.waset.org/abstracts/search?q=don%E2%80%99t%20care%20conditions" title=" don’t care conditions"> don’t care conditions</a>, <a href="https://publications.waset.org/abstracts/search?q=Boolean%20equations" title=" Boolean equations"> Boolean equations</a>, <a href="https://publications.waset.org/abstracts/search?q=cubes" title=" cubes"> cubes</a> </p> <a href="https://publications.waset.org/abstracts/6866/cubical-representation-of-prime-and-essential-prime-implicants-of-boolean-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6866.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">386</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">18435</span> Effect of Prior Heat Treatment on the Microstructure Evolution and Creep Resistance of ZK60 Mg Alloy Under Tensile Creep Loading Along Normal Direction</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sijia%20Hu">Sijia Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Tensile creep tests were performed along the normal direction on the as-solutioned (AS) and as-aged (AA) samples of a commercial ZK60 alloy in this work. The results showed that the AA sample obtained a stronger 0.2% proof stress but a poorer creep resistance in comparison to the AS sample. It was revealed that the creep deformation in the AS sample was attributed to basal slip and twinning, while the creep behavior of the AA sample was controlled by basal slip, pyramidal <c+a> slip and twinning. Besides, the reasons for the poorer creep resistance of the AA sample were unveiled. Pyramidal dislocations towards various moving directions were found to accelerate the creep deformation, and basal dislocations kinking at twin boundaries were found to induce heavy stress concentration. Furthermore, massive dynamic precipitates, including beta 1 prime and beta 2 prime types, were formed in the AS sample during the creep exposure, contributing to the superior creep resistance. But in the AA sample, plentiful beta 1 prime and beta 2 prime phases generated during the prior peak-aging treatment dissolved into the matrix fast and only beta 1 prime re-precipitated during the creep process. With the decreased area fractions of precipitates, the age-hardening effect slacked off and failed to enhance the creep resistance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mg%20alloy" title="Mg alloy">Mg alloy</a>, <a href="https://publications.waset.org/abstracts/search?q=creep" title=" creep"> creep</a>, <a href="https://publications.waset.org/abstracts/search?q=precipitation" title=" precipitation"> precipitation</a>, <a href="https://publications.waset.org/abstracts/search?q=microstructure" title=" microstructure"> microstructure</a> </p> <a href="https://publications.waset.org/abstracts/186519/effect-of-prior-heat-treatment-on-the-microstructure-evolution-and-creep-resistance-of-zk60-mg-alloy-under-tensile-creep-loading-along-normal-direction" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/186519.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">38</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">18434</span> Generic Polynomial of Integers and Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nidal%20Ali">Nidal Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Consider an algebraic number field K of degree n, A0 K is its ring of integers and a prime number p inert in K. Let F(u1, . . . , un, x) be the generic polynomial of integers of K. We will study in advance the stability of this polynomial and then, we will apply it in order to obtain all the monic irreducible polynomials in Fp[x] of degree d dividing n. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=generic%20polynomial" title="generic polynomial">generic polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=irreducibility" title=" irreducibility"> irreducibility</a>, <a href="https://publications.waset.org/abstracts/search?q=iteration" title=" iteration"> iteration</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=inert%20prime" title=" inert prime"> inert prime</a>, <a href="https://publications.waset.org/abstracts/search?q=totally%20ramified" title=" totally ramified"> totally ramified</a> </p> <a href="https://publications.waset.org/abstracts/16820/generic-polynomial-of-integers-and-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16820.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">346</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">18433</span> An Analysis of Non-Elliptic Curve Based Primality Tests</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=William%20Wong">William Wong</a>, <a href="https://publications.waset.org/abstracts/search?q=Zakaria%20Alomari"> Zakaria Alomari</a>, <a href="https://publications.waset.org/abstracts/search?q=Hon%20Ching%20Lai"> Hon Ching Lai</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhida%20Li"> Zhida Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Modern-day information security depends on implementing Diffie-Hellman, which requires the generation of prime numbers. Because the number of primes is infinite, it is impractical to store prime numbers for use, and therefore, primality tests are indispensable in modern-day information security. A primality test is a test to determine whether a number is prime or composite. There are two types of primality tests, which are deterministic tests and probabilistic tests. Deterministic tests are adopting algorithms that provide a definite answer whether a given number is prime or composite. While in probabilistic tests, a probabilistic result would be provided, there is a degree of uncertainty. In this paper, we review three probabilistic tests: the Fermat Primality Test, the Miller-Rabin Test, and the Baillie-PSW Test, as well as one deterministic test, the Agrawal-Kayal-Saxena (AKS) Test. Furthermore, we do an analysis of these tests. All of the reviews discussed are not based on the Elliptic Curve. The analysis demonstrates that, in the majority of real-world scenarios, the Baillie- PSW test’s favorability stems from its typical operational complexity of O(log 3n) and its capacity to deliver accurate results for numbers below 2^64. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=primality%20tests" title="primality tests">primality tests</a>, <a href="https://publications.waset.org/abstracts/search?q=Fermat%E2%80%99s%20primality%20test" title=" Fermat’s primality test"> Fermat’s primality test</a>, <a href="https://publications.waset.org/abstracts/search?q=Miller-Rabin%20primality%20test" title=" Miller-Rabin primality test"> Miller-Rabin primality test</a>, <a href="https://publications.waset.org/abstracts/search?q=Baillie-PSW%20primality%20test" title=" Baillie-PSW primality test"> Baillie-PSW primality test</a>, <a href="https://publications.waset.org/abstracts/search?q=AKS%20primality%20test" title=" AKS primality test"> AKS primality test</a> </p> <a href="https://publications.waset.org/abstracts/173827/an-analysis-of-non-elliptic-curve-based-primality-tests" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/173827.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">88</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">18432</span> The Structural Pattern: An Event-Related Potential Study on Tang Poetry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=ShuHui%20Yang">ShuHui Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=ChingChing%20Lu"> ChingChing Lu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Measuring event-related potentials (ERPs) has been fundamental to our understanding of how people process language. One specific ERP component, a P600, has been hypothesized to be associated with syntactic reanalysis processes. We, however, propose that the P600 is not restricted to reanalysis processes, but is the index of the structural pattern processing. To investigate the structural pattern processing, we utilized the effects of stimulus degradation in structural priming. To put it another way, there was no P600 effect if the structure of the prime was the same with the structure of the target. Otherwise, there would be a P600 effect if the structure were different between the prime and the target. In the experiment, twenty-two participants were presented with four sentences of Tang poetry. All of the first two sentences, being prime, were conducted with SVO+VP. The last two sentences, being the target, were divided into three types. Type one of the targets was SVO+VP. Type two of the targets was SVO+VPVP. Type three of the targets was VP+VP. The result showed that both of the targets, SVO+VPVP and VP+VP, elicited positive-going brainwave, a P600 effect, at 600~900ms time window. Furthermore, the P600 component was lager for the target’ VP+VP’ than the target’ SVO+VPVP’. That meant the more dissimilar the structure was, the lager the P600 effect we got. These results indicate that P600 was the index of the structure processing, and it would affect the P600 effect intensity with the degrees of structural heterogeneity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=ERPs" title="ERPs">ERPs</a>, <a href="https://publications.waset.org/abstracts/search?q=P600" title=" P600"> P600</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20pattern" title=" structural pattern"> structural pattern</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20priming" title=" structural priming"> structural priming</a>, <a href="https://publications.waset.org/abstracts/search?q=Tang%20poetry" title=" Tang poetry"> Tang poetry</a> </p> <a href="https://publications.waset.org/abstracts/120398/the-structural-pattern-an-event-related-potential-study-on-tang-poetry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/120398.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">140</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">18431</span> Module Valuations and Quasi-Valuations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shai%20Sarussi">Shai Sarussi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Suppose F is a field with valuation v and valuation domain Oᵥ, and R is an Oᵥ-algebra. It is known that there exists a filter quasi-valuation on R; the existence of a quasi-valuation yields several important connections between Oᵥ and R, in particular with respect to their prime spectra. In this paper, the notion of a module valuation is introduced. It is shown that any torsion-free module over Oᵥ has an induced module valuation. Moreover, several results connecting the filter quasi-valuation and module valuations are presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=valuations" title="valuations">valuations</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-valuations" title=" quasi-valuations"> quasi-valuations</a>, <a href="https://publications.waset.org/abstracts/search?q=prime%20spectrum" title=" prime spectrum"> prime spectrum</a>, <a href="https://publications.waset.org/abstracts/search?q=algebras%20over%20valuation%20domains" title=" algebras over valuation domains"> algebras over valuation domains</a> </p> <a href="https://publications.waset.org/abstracts/139887/module-valuations-and-quasi-valuations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/139887.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">224</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">18430</span> Effect of Colloid Versus Crystalloid Administration in Cardiopulmonary Bypass Prime Solution on Tissue and Organ Perfusionm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Java%20Esmaeily">Mohammad Java Esmaeily</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Background: We evaluate the effects of tissue and organ perfusion during and after coronary artery bypass graft surgery with either colloid (Voluven) or crystalloid (Lactated ringers) as a prime solution. Materials and Methods: In this prospective randomized-controlled trial study, 70 patients undergoing on-pump coronary artery bypass graft surgery were randomly assigned to receive either colloid (Voluven) or crystalloid (Lactated ringer's) as a prime solution for initiation of cardiopulmonary bypass machine procedure. Tissue and organ perfusion markers, including lactate, troponin I, liver and renal function tests and electrolytes, were measured sequentially before induction (T1) to the second days after surgery (T5). Results: With the exception of chloride and potassium levels, no significant differences were detected in other measurements, and laboratory results were identical entirely in the two groups. Conclusion: Voluven® (hydroxyethyl starch, HES 130/0.4) has a not significant difference in comparison with crystalloid (Lactated ringer's) as priming solution on the basis of organ and tissue perfusion tests assessment. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=prime" title="prime">prime</a>, <a href="https://publications.waset.org/abstracts/search?q=colloid" title=" colloid"> colloid</a>, <a href="https://publications.waset.org/abstracts/search?q=crystalloid" title=" crystalloid"> crystalloid</a>, <a href="https://publications.waset.org/abstracts/search?q=lactate" title=" lactate"> lactate</a>, <a href="https://publications.waset.org/abstracts/search?q=troponin" title=" troponin"> troponin</a>, <a href="https://publications.waset.org/abstracts/search?q=hydroxyethyl%20starch" title=" hydroxyethyl starch"> hydroxyethyl starch</a> </p> <a href="https://publications.waset.org/abstracts/162886/effect-of-colloid-versus-crystalloid-administration-in-cardiopulmonary-bypass-prime-solution-on-tissue-and-organ-perfusionm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/162886.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">89</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">18429</span> The High Temperature Damage of DV–2 Turbine Blade Made from Ni–Base Superalloy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Juraj%20Belan">Juraj Belan</a>, <a href="https://publications.waset.org/abstracts/search?q=Lenka%20Hurtalov%C3%A1"> Lenka Hurtalová</a>, <a href="https://publications.waset.org/abstracts/search?q=Eva%20Tillov%C3%A1"> Eva Tillová</a>, <a href="https://publications.waset.org/abstracts/search?q=Alan%20Va%C5%A1ko"> Alan Vaško</a>, <a href="https://publications.waset.org/abstracts/search?q=Milan%20Uhr%C3%AD%C4%8Dik"> Milan Uhríčik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High-pressure turbine (HPT) blades of DV–2 jet engines are made from Ni–base superalloy, a former Soviet Union production, specified as ŽS6K. For improving its high-temperature resistance are blades covered with Al–Si diffusion layer. A regular operation temperature of HPT blades vary from 705°C to 750°C depending on jet engine regime. An over-crossing working temperature range causes degradation of protective alitize layer as well as base material–gamma matrix and gamma prime particles what decreases turbine blade lifetime. High-temperature degradation has mainly diffusion mechanism and causes coarsening of strengthening phase gamma prime and protective alitize layer thickness growing. All changes have a significant influence on high-temperature properties of base material. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=alitize%20layer" title="alitize layer">alitize layer</a>, <a href="https://publications.waset.org/abstracts/search?q=gamma%20prime%20phase" title=" gamma prime phase"> gamma prime phase</a>, <a href="https://publications.waset.org/abstracts/search?q=high-temperature%20degradation" title=" high-temperature degradation"> high-temperature degradation</a>, <a href="https://publications.waset.org/abstracts/search?q=Ni%E2%80%93base%20superalloy%20%C5%BDS6K" title=" Ni–base superalloy ŽS6K"> Ni–base superalloy ŽS6K</a>, <a href="https://publications.waset.org/abstracts/search?q=turbine%20blade" title=" turbine blade"> turbine blade</a> </p> <a href="https://publications.waset.org/abstracts/20085/the-high-temperature-damage-of-dv-2-turbine-blade-made-from-ni-base-superalloy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20085.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">533</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">18428</span> Real-Time Aerial Marine Surveillance System for Safe Navigation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vinesh%20Thiruchelvam">Vinesh Thiruchelvam</a>, <a href="https://publications.waset.org/abstracts/search?q=Umar%20Mumtaz%20Chowdry"> Umar Mumtaz Chowdry</a>, <a href="https://publications.waset.org/abstracts/search?q=Sathish%20Kumar%20Selvaperumal"> Sathish Kumar Selvaperumal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The prime purpose of the project is to provide a sophisticated system for surveillance specialized for the Port Authorities in the Maritime Industry. The current aerial surveillance does not have a wide dimensioning view. The channels of communication is shared and not exclusive allowing for communications errors or disturbance mainly due to traffic. The scope is to analyze the various aspects as real-time aerial and marine surveillance is one of the most important methods which could ensure the domain security of the sailors. The system will improve real time data as obtained for the controller base station. The key implementation will be based on camera speed, angle and adherence to a sustainable power utilization module. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=SMS" title="SMS">SMS</a>, <a href="https://publications.waset.org/abstracts/search?q=real%20time" title=" real time"> real time</a>, <a href="https://publications.waset.org/abstracts/search?q=GUI" title=" GUI"> GUI</a>, <a href="https://publications.waset.org/abstracts/search?q=maritime%20industry" title=" maritime industry "> maritime industry </a> </p> <a href="https://publications.waset.org/abstracts/6760/real-time-aerial-marine-surveillance-system-for-safe-navigation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6760.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">498</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">18427</span> Second Representation of Modules over Commutative Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jawad%20Abuhlail">Jawad Abuhlail</a>, <a href="https://publications.waset.org/abstracts/search?q=Hamza%20Hroub"> Hamza Hroub</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let R be a commutative ring. Representation theory studies the representation of R-modules as (possibly finite) sums of special types of R-submodules. Here we are interested in a class of R-modules between the class of semisimple R-modules and the class of R-modules that can be written as (possibly finite) sums of secondary R-submodules (we know that every simple R-submodule is secondary). We investigate R-modules which can be written as (possibly finite) sums of second R-submodules (we call those modules second representable). Moreover, we investigate the class of (main) second attached prime ideals related to a module with such representation. We provide sufficient conditions for an R-module M to get a (minimal) second representation. We also found the collection of second attached prime ideals for some types of second representable R-modules, in particular within the class of injective R-modules. As we know that every simple R-submodule is second and every second R-submodule is secondary, we can see the importance of the second representable R-module. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lifting%20modules" title="lifting modules">lifting modules</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20attached%20prime%20ideals" title=" second attached prime ideals"> second attached prime ideals</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20representations" title=" second representations"> second representations</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20representations" title=" secondary representations"> secondary representations</a>, <a href="https://publications.waset.org/abstracts/search?q=semisimple%20modules" title=" semisimple modules"> semisimple modules</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20submodules" title=" second submodules"> second submodules</a> </p> <a href="https://publications.waset.org/abstracts/99517/second-representation-of-modules-over-commutative-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99517.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">193</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">18426</span> Network Connectivity Knowledge Graph Using Dwave Quantum Hybrid Solvers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nivedha%20Rajaram">Nivedha Rajaram</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Hybrid Quantum solvers have been given prime focus in recent days by computation problem-solving domain industrial applications. D’Wave Quantum Computers are one such paragon of systems built using quantum annealing mechanism. Discrete Quadratic Models is a hybrid quantum computing model class supplied by D’Wave Ocean SDK - a real-time software platform for hybrid quantum solvers. These hybrid quantum computing modellers can be employed to solve classic problems. One such problem that we consider in this paper is finding a network connectivity knowledge hub in a huge network of systems. Using this quantum solver, we try to find out the prime system hub, which acts as a supreme connection point for the set of connected computers in a large network. This paper establishes an innovative problem approach to generate a connectivity system hub plot for a set of systems using DWave ocean SDK hybrid quantum solvers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum%20computing" title="quantum computing">quantum computing</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20quantum%20solver" title=" hybrid quantum solver"> hybrid quantum solver</a>, <a href="https://publications.waset.org/abstracts/search?q=DWave%20annealing" title=" DWave annealing"> DWave annealing</a>, <a href="https://publications.waset.org/abstracts/search?q=network%20knowledge%20graph" title=" network knowledge graph"> network knowledge graph</a> </p> <a href="https://publications.waset.org/abstracts/150932/network-connectivity-knowledge-graph-using-dwave-quantum-hybrid-solvers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150932.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">127</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">18425</span> Zero Divisor Graph of a Poset with Respect to Primal Ideals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Pourali">Hossein Pourali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we extend the concepts of primal and weakly primal ideals for posets. Further, the diameter of the zero divisor graph of a poset with respect to a non-primal ideal is determined. The relation between primary and primal ideals in posets is also studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Eassociated%20prime%20ideal" title="associated prime ideal">associated prime ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8E%E2%80%8Eideal" title=" ideal"> ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8E%E2%80%8Eprimary%20ideal" title=" primary ideal"> primary ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=primal%20ideal%E2%80%8E" title=" primal ideal"> primal ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=prime%E2%80%8E%20%E2%80%8Eideal" title=" prime ideal"> prime ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=semiprime%20ideal" title=" semiprime ideal"> semiprime ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Eweakly%20primal%20ideal" title=" weakly primal ideal"> weakly primal ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=zero%20divisors%20graph" title=" zero divisors graph"> zero divisors graph</a> </p> <a href="https://publications.waset.org/abstracts/67163/zero-divisor-graph-of-a-poset-with-respect-to-primal-ideals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/67163.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">255</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">18424</span> Prime Mover Sizing for Base-Loaded Combined Heating and Power Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Djalal%20Boualili">Djalal Boualili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article considers the problem of sizing prime movers for combined heating and power (CHP) systems operating at full load to satisfy a fraction of a facility's electric load, i.e. a base load. Prime mover sizing is examined using three criteria: operational cost, carbon dioxide emissions (CDE), and primary energy consumption (PEC). The sizing process leads to consider ratios of conversion factors applied to imported electricity to conversion factors applied to fuel consumed. These ratios are labelled RCost, R CDE, R PEC depending on whether the conversion factors are associated with operational cost, CDE, or PEC, respectively. Analytical results show that in order to achieve savings in operational cost, CDE, or PEC, the ratios must be larger than a unique constant R Min that only depends on the CHP components efficiencies. Savings in operational cost, CDE, or PEC due to CHP operation are explicitly formulated using simple equations. This facilitates the process of comparing the tradeoffs of optimizing the savings of one criterion over the other two – a task that has traditionally been accomplished through computer simulations. A hospital building, located in Chlef, Algeria, was used as an example to apply the methodology presented in this article. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=sizing" title="sizing">sizing</a>, <a href="https://publications.waset.org/abstracts/search?q=heating%20and%20power" title=" heating and power"> heating and power</a>, <a href="https://publications.waset.org/abstracts/search?q=ratios" title=" ratios"> ratios</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20consumption" title=" energy consumption"> energy consumption</a>, <a href="https://publications.waset.org/abstracts/search?q=carbon%20dioxide%20emissions" title=" carbon dioxide emissions"> carbon dioxide emissions</a> </p> <a href="https://publications.waset.org/abstracts/14685/prime-mover-sizing-for-base-loaded-combined-heating-and-power-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14685.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">231</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=Prime%20time&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Prime%20time&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Prime%20time&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Prime%20time&page=5">5</a></li> <li class="page-item"><a class="page-link" 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