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Felsic lavas can erupt at temperatures as low as 800 C (1,470 F). Unusually hot ( 950 C; 1,740 F) rhyolite lavas, however, may flow for distances of many tens of kilometres, such as in the Snake River Plain of the northwestern United States.
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Although the validity of the theory of global warming is still in some dispute, there is little question that ocean levels have varied from much below the present level during the ice ages and  above the present  during the times of the dinosauers. We look **HERE** at what the maximum sea level rise would be if all ice...
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Finally, views according to which worlds do not in fact exist, are widespread in literature. Under the name of modal anti-realism, such views reject modal realism for primarily epistemological reasons although neither deny the meaningfulness of modal talk nor the accuracy of its worlds semantics. Although modal anti-re...
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Solid models with trimmed surfaces suffer from robustness issues that may lead to inconsistencies as previously discussed in Sect. 3.2.2. In order to obtain an unambiguous and watertight description of a solid model, several authors considered replacing trimmed objects by other surface representations. In particular, i...
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For a finite group \( G \), a \( G \)-crossed braided fusion category is defined as a \( G \)-graded fusion category equipped with a \( G \)-action and a \( G \)-braiding. In this work, we investigate \( G \)-crossed braiding structures within exact factorizations of fusion categories, which are analogous to the Zappa–...
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Speaker: Eric Rowland, Hofstra UniversityTitle: The Sinkhorn limit of a matrixAbstract: Take a square matrix with positive entries. Normalize the rows so each row sum is 1. Then normalize the columns. Then normalize the rows again, and so on. This process is the subject of a 1963 paper by Richard Sinkhorn. In the limit...
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**Global impact of anthropogenic NH₃ emissions on upper tropospheric aerosol formation** Xenofontos, C.; Kohl, M.; Ruhl, S.; Almeida, J.; Caudillo-Plath, L.; Cruz-Simbron, R.; Dada, L.; Duplissy, J.; Ehrhart, S.; Finkenzeller, H.; Höhler, K.; Kong, W.; Kunkler, F.; Lietzke, C. J.; Mentler, B.; Morawiec, A.; Onnela, A.;...
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For integers that fit within $42$ bits, a competitive factoring algorithm is the so-called One Line Factoring Algorithm proposed by William B. Hart. We analyze this algorithm in special cases, in particular, for semiprimes $N = pq$, and look for optimizations. We first observe the cases in which the larger or smaller p...
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We study the time evolution of ranking and spectral properties of the Google matrix of English Wikipedia hyperlink network during years 2003-2011. The statistical properties of ranking of Wikipedia articles via PageRank and CheiRank probabilities, as well as the matrix spectrum, are shown to be stabilized for 2007-2011...
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The Hilbert transform plays an important role in many different applications. Especially in the area of detection and estimation it is ly related to the calculation of the spectral factorization. Generally, it is not possible to calculate the Hilbert transform in d form. Therefore approximation methods are applied. Thi...
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The transition from conventional mobility to electromobility largely depends on charging infrastructure availability and optimal placement. This paper examines the optimal placement of charging stations in urban areas. We maximise the charging infrastructure supply over the area and minimise waiting, travel, and chargi...
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To integrate physics into neuromorphic computing, we must begin with electromagnetism’s quaternionic reformulation, a mathematical artifact revived for its geometric potency. Maxwell’s original quaternion notation, modernized by Hestenes (1966) and Arbab (2022), collapses the four coupled partial differential equations...
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As we saw, the compactness theorem for both propositional and first-order logic may be proven in \(\textsf{ZFC}\); but as also indicated, all that is required for its proof, in the case of both propositional and first-order logic, is the Ultrafilter Lemma, which is in fact weaker than Choice relative to \(\textsf{ZF}\)...
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In this paper, we tackle the real-world problem of predicting Yelp star-review rating based on business features (such as images, s), user features (average previous ratings), and, of particular interest, network properties (which businesses has a user rated before). We compare multiple models on different sets of feat...
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Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are qualitatively different from what is observed during real metaorder executions: the price in...
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| | | | --- | --- | | **Syllabus:** | Pre-requisite: MTH611/ 612/ 613 **Linear groups:** Topological groups; Linear groups (e.g., , and their topological properties (e.g., compactness, connectedness) **Exponential:** Exponential of a matrix, Logarithm of a matrix. **Linear Lie groups:** One parameter subgroups; Lie ...
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Latent Diffusion Models (LDMs) have markedly advanced the quality of image inpainting and local editing. However, the inherent latent compression often introduces pixel-level inconsistencies, such as chromatic shifts, texture mismatches, and visible seams along editing boundaries. Existing remedies, including backgroun...
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When n = 1, 4n = 41 = 4, and the units digit is 4. When n = 2, then 4n = 42 = 16, and the units digits is 6. Thus P(1) and P(2) are true. Show that for any integer k ≥ 2, if the property is true for all integers i with 1 ≤ i ≤ k then it is true for k+1: Let k by any integer with k ≥ 2, and suppose that for all integers...
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Partial differential equations are not the only applications of the method of eigenfunction expansions, as seen in the last section. We can apply these method to nonhomogeneous two point boundary value problems for ordinary differential equations assuming that we can solve the associated eigenvalue problem. Let’s begin...
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Graph neural networks (GNNs) achieve the state-of-the-art on graph-relevant tasks such as node and graph classification. However, recent works show GNNs are vulnerable to adversarial perturbations include the perturbation on edges, nodes, and node features, the three components forming a graph. Empirical defenses again...
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| | | | | | | | | --- | --- | --- | --- | --- | --- | --- | | | | | | --- | --- | | **Supersonic Fanno Flow 4.0**   (details) | Prime ENG POR   5 KB / 21 KB | | ScreenshotCalculates the following properties for adiabatic duct flow with friction (Fannow flow): stagnation, critical, inlet and outlet duct with ma...
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Witten was awarded by Fields medal from a construction recipe of Jones polynomial based on topological QFT assigned with braids and based on Chern-Simons action. Recently Witten has been working with an attempt to understand in terms of quantum theory the so called Khovanov polynomial associated with a much more abstra...
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The exams were graded quite harshly in my opinion (whereas the homeworks were graded very leniently which provided a false sense of accomplishment and understanding of the material). Given the low number of questions on the exam and the tendency not to award partial credit commensurate with progress made on a problem, ...
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Let us note in passing that the position Hegel assigns the various arts (poetry leads them all as the only *universal* art; it patterns their behaviour on its own, insofar as it is the only art that can represent the *successive situations* of life) suffices to explain why the kind of humour at issue here began appeari...
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Let us also make the assumption that the problem space has some volitional qualities. For if one is to make the effort to construct the space and step into it when it becomes relevant, there must be something to compel the user in that direction, i.e., something to drive the problem solver to use a problem space in solu...
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| | | | | | | | | --- | --- | --- | --- | --- | --- | --- | | | | | | --- | --- | | **Gompertz Model**   (details) | Prime ENG   3 KB / 2 KB | | Fits the data {y\_1, y\_2, y\_3, … , y\_m } to the curve y = a\*b^c^x, where x = {0, 1, 2, 3, 4, … , m-1}. The program works best if the dimension (size) of the data ...
math/3030191_e87214fa2e64ad4e_178.txt
pure optimizers—but every time it rains, 90 percent of their population will be eliminated, dramatically slowing down its growth. So which group will grow the fastest? This question is absolutely key for our purposes because the heuristic that grows fastest—what we’ll call the growth-optimal heuristic—will come to domi...
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Pascal-Triangle (known as Yang Hui Triangle) is an important structure in mathematics, which has been used many fields. Entropy plays an essential role in physics. In various, information entropy is used to measure the uncertainty of information. Hence, setting the connection between Pascal Triangle and information unc...
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It is a remarkable fact that the standard model (SM) of particle physics is classically conformally invariant - except for a single term: the scalar mass term, commonly introduced for electroweak symmetry breaking. This work is based on the hypothesis that classically unbroken conformal invariance, in conjunction with ...
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The sum of the entries on the main diagonal of a matrix is called the trace) ; it does not change if we reorient the coordinate system, and always equals the sum of the eigenvalues. This has the convenient implication for 2 2 and 3 3 rotation matrices that the trace reveals the angle of rotation , θ , in the two-di...
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