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Search results for: Top Quark

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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="Top Quark"> <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> 8</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Top Quark</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8</span> Application of Deep Learning in Top Pair and Single Top Quark Production at the Large Hadron Collider</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ijaz%20Ahmed">Ijaz Ahmed</a>, <a href="https://publications.waset.org/abstracts/search?q=Anwar%20Zada"> Anwar Zada</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Waqas"> Muhammad Waqas</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20U.%20Ashraf"> M. U. Ashraf</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We demonstrate the performance of a very efficient tagger applies on hadronically decaying top quark pairs as signal based on deep neural network algorithms and compares with the QCD multi-jet background events. A significant enhancement of performance in boosted top quark events is observed with our limited computing resources. We also compare modern machine learning approaches and perform a multivariate analysis of boosted top-pair as well as single top quark production through weak interaction at 鈭歴 = 14 TeV proton-proton Collider. The most relevant known background processes are incorporated. Through the techniques of Boosted Decision Tree (BDT), likelihood and Multlayer Perceptron (MLP) the analysis is trained to observe the performance in comparison with the conventional cut based and count approach <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=top%20tagger" title="top tagger">top tagger</a>, <a href="https://publications.waset.org/abstracts/search?q=multivariate" title=" multivariate"> multivariate</a>, <a href="https://publications.waset.org/abstracts/search?q=deep%20learning" title=" deep learning"> deep learning</a>, <a href="https://publications.waset.org/abstracts/search?q=LHC" title=" LHC"> LHC</a>, <a href="https://publications.waset.org/abstracts/search?q=single%20top" title=" single top"> single top</a> </p> <a href="https://publications.waset.org/abstracts/156965/application-of-deep-learning-in-top-pair-and-single-top-quark-production-at-the-large-hadron-collider" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/156965.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">111</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">7</span> Search for Flavour Changing Neutral Current Couplings of Higgs-up Sector Quarks at Future Circular Collider (FCC-eh)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I.%20Turk%20Cakir">I. Turk Cakir</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Hacisahinoglu"> B. Hacisahinoglu</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Kartal"> S. Kartal</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Yilmaz"> A. Yilmaz</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Yilmaz"> A. Yilmaz</a>, <a href="https://publications.waset.org/abstracts/search?q=Z.%20Uysal"> Z. Uysal</a>, <a href="https://publications.waset.org/abstracts/search?q=O.%20Cakir"> O. Cakir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the search for new physics beyond the Standard Model, Flavour Changing Neutral Current (FCNC) is a good research field in terms of the observability at future colliders. Increased Higgs production with higher energy and luminosity in colliders is essential for verification or falsification of our knowledge of physics and predictions, and the search for new physics. Prospective electron-proton collider constituent of the Future Circular Collider project is FCC-eh. It offers great sensitivity due to its high luminosity and low interference. In this work, thq FCNC interaction vertex with off-shell top quark decay at electron-proton colliders is studied. By using MadGraph5_aMC@NLO multi-purpose event generator, observability of tuh and tch couplings are obtained with equal coupling scenario. Upper limit on branching ratio of tree level top quark FCNC decay is determined as 0.012% at FCC-eh with 1 ab ^&minus;1 luminosity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=FCC" title="FCC">FCC</a>, <a href="https://publications.waset.org/abstracts/search?q=FCNC" title=" FCNC"> FCNC</a>, <a href="https://publications.waset.org/abstracts/search?q=Higgs%20Boson" title=" Higgs Boson"> Higgs Boson</a>, <a href="https://publications.waset.org/abstracts/search?q=Top%20Quark" title=" Top Quark"> Top Quark</a> </p> <a href="https://publications.waset.org/abstracts/83207/search-for-flavour-changing-neutral-current-couplings-of-higgs-up-sector-quarks-at-future-circular-collider-fcc-eh" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83207.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">212</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">6</span> Prompt Photons Production in Compton Scattering of Quark-Gluon and Annihilation of Quark-Antiquark Pair Processes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohsun%20Rasim%20Alizada">Mohsun Rasim Alizada</a>, <a href="https://publications.waset.org/abstracts/search?q=Azar%20Inshalla%20Ahmdov"> Azar Inshalla Ahmdov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Prompt photons are perhaps the most versatile tools for studying the dynamics of relativistic collisions of heavy ions. The study of photon radiation is of interest that in most hadron interactions, photons fly out as a background to other studied signals. The study of the birth of prompt photons in nucleon-nucleon collisions was previously carried out in experiments on Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). Due to the large energy of colliding nucleons, in addition to prompt photons, many different elementary particles are born. However, the birth of additional elementary particles makes it difficult to determine the accuracy of the effective section of the birth of prompt photons. From this point of view, the experiments planned on the Nuclotron-based Ion Collider Facility (NICA) complex will have a great advantage, since the energy obtained for colliding heavy ions will reduce the number of additionally born elementary particles. Of particular importance is the study of the processes of birth of prompt photons to determine the gluon leaving hadrons since the photon carries information about a rigid subprocess. At present, paper production of prompt photon in Compton scattering of quark-gluon and annihilation of quark鈥揳ntiquark processes is investigated. The matrix elements Compton scattering of quark-gluon and annihilation of quark-antiquark pair processes has been written. The Square of matrix elements of processes has been calculated in FeynCalc. The phase volume of subprocesses has been determined. Expression to calculate the differential cross-section of subprocesses has been obtained: Given the resulting expressions for the square of the matrix element in the differential section expression, we see that the differential section depends not only on the energy of colliding protons, but also on the mass of quarks, etc. Differential cross-section of subprocesses is estimated. It is shown that the differential cross-section of subprocesses decreases with the increasing energy of colliding protons. Asymmetry coefficient with polarization of colliding protons is determined. The calculation showed that the squares of the matrix element of the Compton scattering process without and taking into account the polarization of colliding protons are identical. The asymmetry coefficient of this subprocess is zero, which is consistent with the literary data. It is known that in any single polarization processes with a photon, squares of matrix elements without taking into account and taking into account the polarization of the original particle must coincide, that is, the terms in the square of the matrix element with the degree of polarization are equal to zero. The coincidence of the squares of the matrix elements indicates that the parity of the system is preserved. The asymmetry coefficient of annihilation of quark鈥揳ntiquark pair process linearly decreases from positive unit to negative unit with increasing the production of the polarization degrees of colliding protons. Thus, it was obtained that the differential cross-section of the subprocesses decreases with the increasing energy of colliding protons. The value of the asymmetry coefficient is maximal when the polarization of colliding protons is opposite and minimal when they are directed equally. Taking into account the polarization of only the initial quarks and gluons in Compton scattering does not contribute to the differential section of the subprocess. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=annihilation%20of%20a%20quark-antiquark%20pair" title="annihilation of a quark-antiquark pair">annihilation of a quark-antiquark pair</a>, <a href="https://publications.waset.org/abstracts/search?q=coefficient%20of%20asymmetry" title=" coefficient of asymmetry"> coefficient of asymmetry</a>, <a href="https://publications.waset.org/abstracts/search?q=Compton%20scattering" title=" Compton scattering"> Compton scattering</a>, <a href="https://publications.waset.org/abstracts/search?q=effective%20cross-section" title=" effective cross-section"> effective cross-section</a> </p> <a href="https://publications.waset.org/abstracts/142253/prompt-photons-production-in-compton-scattering-of-quark-gluon-and-annihilation-of-quark-antiquark-pair-processes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142253.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">149</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">5</span> Thermodynamics during the Deconfining Phase Transition</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amal%20Ait%20El%20Djoudi">Amal Ait El Djoudi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A thermodynamical model of coexisting hadronic and quark鈥揼luon plasma (QGP) phases is used to study the thermally driven deconfining phase transition occurring between the two phases. A color singlet partition function is calculated for the QGP phase with two massless quarks, as in our previous work, but now the finite extensions of the hadrons are taken into account in the equation of state of the hadronic phase. In the present work, the finite-size effects on the system are examined by probing the behavior of some thermodynamic quantities, called response functions, as order parameter, energy density and their derivatives, on a range of temperature around the transition at different volumes. It turns out that the finiteness of the system size has as effects the rounding of the transition and the smearing of all the singularities occurring in the thermodynamic limit, and the additional finite-size effect introduced by the requirement of exact color-singletness involves a shift of the transition point. This shift as well as the smearing of the transition region and the maxima of both susceptibility and specific heat show a scaling behavior with the volume characterized by scaling exponents. Another striking result is the large similarity noted between the behavior of these response functions and that of the cumulants of the probability density. This similarity is worked to try to extract information concerning the occurring phase transition. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equation%20of%20state" title="equation of state">equation of state</a>, <a href="https://publications.waset.org/abstracts/search?q=thermodynamics" title=" thermodynamics"> thermodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=deconfining%20phase%20transition" title=" deconfining phase transition"> deconfining phase transition</a>, <a href="https://publications.waset.org/abstracts/search?q=quark%E2%80%93gluon%20plasma%20%28QGP%29" title=" quark鈥揼luon plasma (QGP)"> quark鈥揼luon plasma (QGP)</a> </p> <a href="https://publications.waset.org/abstracts/21464/thermodynamics-during-the-deconfining-phase-transition" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21464.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">427</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">4</span> Determination of the Axial-Vector from an Extended Linear Sigma Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tarek%20Sayed%20Taha%20Ali">Tarek Sayed Taha Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The dependence of the axial-vector coupling constant gA on the quark masses has been investigated in the frame work of the extended linear sigma model. The field equations have been solved in the mean-field approximation. Our study shows a better fitting to the experimental data compared with the existing models. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=extended%20linear%20sigma%20model" title="extended linear sigma model">extended linear sigma model</a>, <a href="https://publications.waset.org/abstracts/search?q=nucleon%20properties" title=" nucleon properties"> nucleon properties</a>, <a href="https://publications.waset.org/abstracts/search?q=axial%20coupling%20constant" title=" axial coupling constant"> axial coupling constant</a>, <a href="https://publications.waset.org/abstracts/search?q=physic" title=" physic"> physic</a> </p> <a href="https://publications.waset.org/abstracts/2310/determination-of-the-axial-vector-from-an-extended-linear-sigma-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2310.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">445</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">3</span> Light-Entropy Continuum Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Christopher%20Restall">Christopher Restall</a> </p> <p class="card-text"><strong>Abstract:</strong></p> 铿乪ld causing attraction between mixed charges of matter during charge exchanges with antimatter. This asymmetry is caused from none-trinary quark amount variation in matter and anti-matter during entropy progression. This document explains how a circularity critique exercise assessed scienti铿乧 knowledge and develop a uni铿乪d theory from the information collected. The circularity critique, creates greater intuition leaps than an individual would naturally, the information collected can be integrated and assessed thoroughly for correctness. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=unified%20theory%20of%20everything" title="unified theory of everything">unified theory of everything</a>, <a href="https://publications.waset.org/abstracts/search?q=gravity" title=" gravity"> gravity</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20gravity" title=" quantum gravity"> quantum gravity</a>, <a href="https://publications.waset.org/abstracts/search?q=standard%20model" title=" standard model"> standard model</a> </p> <a href="https://publications.waset.org/abstracts/188187/light-entropy-continuum-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/188187.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">41</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">2</span> The Utilization of Magneto-Hydrodynamics Framework in Expansion of Magnetized Conformal Flow</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Majid%20Karimabadi">Majid Karimabadi</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmad%20Farzaneh%20Kore"> Ahmad Farzaneh Kore</a>, <a href="https://publications.waset.org/abstracts/search?q=Behnam%20Azadegan"> Behnam Azadegan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The evolution of magnetized quark gluon plasma (QGP) in the framework of magneto- hydrodynamics is the focus of our study. We are investigating the temporal and spatial evolution of QGP using a second order viscous hydrodynamic framework. The fluid is considered to be magnetized and subjected to the influence of a magnetic field that is generated during the early stages of relativistic heavy ion collisions. We assume boost invariance along the beam line, which is represented by the z coordinate, and fluid expansion in the x direction. Additionally, we assume that the magnetic field is perpendicular to the reaction plane, which corresponds to the y direction. The fluid is considered to have infinite electrical conductivity. To analyze this system, we solve the coupled Maxwell and conservation equations. By doing so, we are able to determine the time and space dependence of the energy density, velocity, and magnetic field in the transverse plane of the viscous magnetized hot plasma. Furthermore, we obtain the spectrum of hadrons and compare it with experimental data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=QGP" title="QGP">QGP</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetohydrodynamics" title=" magnetohydrodynamics"> magnetohydrodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=hadrons" title=" hadrons"> hadrons</a>, <a href="https://publications.waset.org/abstracts/search?q=conversation" title=" conversation"> conversation</a> </p> <a href="https://publications.waset.org/abstracts/183334/the-utilization-of-magneto-hydrodynamics-framework-in-expansion-of-magnetized-conformal-flow" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/183334.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">68</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">1</span> The Probability Foundation of Fundamental Theoretical Physics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Quznetsov%20Gunn">Quznetsov Gunn</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the study of the logical foundations of probability theory, it was found that the terms and equations of the fundamental theoretical physics represent terms and theorems of the classical probability theory, more precisely, of that part of this theory, which considers the probability of dot events in the 3 + 1 space-time. In particular, the masses, moments, energies, spins, etc. turn out of parameters of probability distributions such events. The terms and the equations of the electroweak and of the quark-gluon theories turn out the theoretical-probabilistic terms and theorems. Here the relation of a neutrino to his lepton becomes clear, the W and Z bosons masses turn out dynamic ones, the cause of the asymmetry between particles and antiparticles is the impossibility of the birth of single antiparticles. In addition, phenomena such as confinement and asymptotic freedom receive their probabilistic explanation. And here we have the logical foundations of the gravity theory with phenomena dark energy and dark matter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=classical%20theory%20of%20probability" title="classical theory of probability">classical theory of probability</a>, <a href="https://publications.waset.org/abstracts/search?q=logical%20foundation%20of%20fundamental%20theoretical%20physics" title=" logical foundation of fundamental theoretical physics"> logical foundation of fundamental theoretical physics</a>, <a href="https://publications.waset.org/abstracts/search?q=masses" title=" masses"> masses</a>, <a href="https://publications.waset.org/abstracts/search?q=moments" title=" moments"> moments</a>, <a href="https://publications.waset.org/abstracts/search?q=energies" title=" energies"> energies</a>, <a href="https://publications.waset.org/abstracts/search?q=spins" title=" spins"> spins</a> </p> <a href="https://publications.waset.org/abstracts/69589/the-probability-foundation-of-fundamental-theoretical-physics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/69589.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">295</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">&copy; 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