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math/2407659_ed120fe322999def_417.txt | The equilibrium curve is drawn using a suitable coordinate system. From the known compositions of the feed, the solvent and the raffinate, the points F, S and R N , can be located on the diagram. The point M representing the mixture of F and S is also located on the line FS. Equation (8.11) says that the point M lies a... |
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math/2069219_d8de778cbda0f56d_148.txt | In numerical mathematics, the boxed expression (7.26) is known as the discrete Fourier transform of the function f (x), henceforth referred to as DFT. Expression (7.26) provides the approximated Fourier coefficients fk in terms of the sampled values f (xj ) of the function f (x) at the abscissas xj = jh = 2πj/N , for j ... |
math/92171_f467e2efefddb294_262.txt | The present paper is devoted to the convergence analysis of an asymptotic preserving particle scheme designed to serve as a particle pusher in a Particle-In-Cell (PIC) method for the Vlasov equation with a strong inhomogeneous magnetic field. The asymptotic preserving scheme that we study removes classical strong restr... |
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math/2825922_ea43d09e3c6ae6ed_28.txt | Two rules are obeyed by every alphametic. First, the mapping of letters to numbers is one-to-one; that is, the same letter always stands for the same digit, and the same digit is always represented by the same letter. Second, the digit zero isn’t allowed as the left-most digit in any of the numbers being added or in th... |
math/373672_8ee0fe2bed605a7b_204.txt | Explainable Graph Neural Network (GNN) has emerged recently to foster the trust of using GNNs. Existing GNN explainers are developed from various perspectives to enhance the explanation performance. We take the first step to study GNN explainers under adversarial attack—We found that an adversary slightly perturbing gr... |
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math/614081ea_10364.txt | Juntong Shi · Minkai Xu · Harper Hua · Hengrui Zhang · Stefano Ermon · Jure Leskovec Synthesizing high-quality tabular data is an important topic in many data science tasks, ranging from dataset augmentation to privacy protection. However, developing expressive generative models for tabular data is challenging due to i... |
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math/59738_02d8b50acb939ebf_482.txt | I agree to an extent. Trump is kind of crazy. Is he a good leader though? It looks like it. There’s a lot of crazy libtards and repubs on this site but overall trump is ok. The fact that Biden is my president scares the @#$& out of me. AT LEAST ITS NOT BERNIE because Bernie’s just a socialist. He even admits it. Biden ... |
math/107483_db9c0f2f4b6f960d_165.txt | Due to David Hilbert's 1918 promotional efforts, J. Droste's May 27, 1916 metric solution of the Einstein equation for a static point mass fixed to the origin is universally featured by gravity textbooks, but is seriously misrepresented by those textbooks as the work of Karl Schwarzschild: Droste's metric solution has ... |
math/2710_db9c0f2f4b6f960d_2255.txt | The observed absence of a cuspy halo in the centers of galaxies implies a certain mechanism, which scatter DM. As this mechanism is considered annihilation of galactic antineutrino DM and neutrino DM of stellar origin. Annihilation intensity increases towards the center with increasing concentration of stars and densit... |
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math/2254655_88798b63b7b7ba1b_113.txt | 1.59 (Feb 06, 2005): added support for discrete (triangulated) surfaces, either in STL format or with the new "Discrete Surface" command; added STL and Text output format for post-processing views and STL output format for surface meshes; all levelset-based plugins can now also compute isovolumes; generalized Plugin(Ev... |
math/433094_a6a9c08d3029d935_72.txt | NinjaDevo has been working on this great thread for everyone and now it is finished. It is a thread of great answers to learn from - just like the title suggests. This should be great reference material for askers and answerers but it is intended more for the askers. NinjaDevo has presented it beautifully, it will b... |
math/2247940_99915aacaac16ebe_282.txt | The IPCC’s Fifth Assessment Report acknowledged the lack of standard metrics to measure and monitor success in urban adaptation and suggested a list of indicators that could be developed, while also taking note of the localised nature of adaptation (see also (Rufat et al., 2015)). However, predominant approaches are t... |
math/59738_3d4bcf313d2369cb_357.txt | Lectures: The lectures for this class were very hit and miss for me. I really enjoyed the first half of the class, and thought the lectures did a better job of thoroughly explaining the concepts. The second half of the class was less enjoyable for me. The lectures seemed to assume a very strong background in linear alg... |
math/92171_1996e1986c60b184_155.txt | Graph Neural Networks (GNNs) are state-of-the-art models for performing prediction tasks on graphs. While existing GNNs have shown great performance on various tasks related to graphs, little attention has been paid to the scenario where out-of-distribution (OOD) nodes exist in the graph during training and inference. ... |
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math/10410207_6374.txt | Authors: Giancarlo Frison Comments: 13 Pages. Computer programming is a specialized activity that requires long training and experience to match productivity, precision and integration.It hasn’t been a secret for AI practitioners to ultimately create software tools that can facilitate the role of programmers. The branc... |
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math/353276_5aa5448a9477b0bf_576.txt | Autonomous systems for software engineering are now capable of fixing bugs and developing features. These systems are commonly evaluated on SWE-bench (Jimenez et al., 2024a), which assesses their ability to solve software issues from GitHub repositories. However, SWE-bench uses only Python repositories, with problem st... |
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math/0ed49335_151078.txt | We will start assuming we have some initial correspondences between each pair of images as shown in Figure 41.7 . The correspondences in this example are computer using speeded up robust features (SURF) 2 . |
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math/3742825_e82f9b6e861aaefa_8.txt | The inverse operation to adding noise is known as denoising. It is a classical and well-studied topic in signal processing and system theory, such as the Wiener filter and the Kalman filter. Several problems discussed in Chapter 2, such as PCA, ICA, and Dictionary Learning, are specific instances of the denoising probl... |
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