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Over the last ten years, scholars in human geography have been paying increasing theoretical and empirical attention to understanding the ways in which the production of scale is implicated in the production of space. Overwhelmingly, this work reflects a social constructionist approach, which situates capitalist produc...
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``` Michael A. Jones Win, Lose, or Draw: a Markov Chain Analysis of Overtime in the National Football League . . . . . . . . . . . . 330--336 Edward W. Packel and David S. Yuen Projectile Motion with Resistance and the Lambert $W$ Function . . . . . . . . 337--350 John P. Bonomo and Carolyn K. Cuff How Do You St...
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were conducted to collect the group’s opinions and questionnaires were administered to different members of the same group to gather data in order to complement and supplement the interview data. The interview data were analysed by a grounded theory approach and the questionnaire was analysed statistically. While other...
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At the time I wrote about the Church of the Fourth Dimension no em¬ inent physicist had ever contended that there might actually be spaces “out there,” higher than our familiar 3-space. (The use of a fourth di¬ mension in relativity theory was no more than a way of handling time in the theory’s equations.) Now, however...
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This rotates column vectors by means of the following matrix multiplication , x y cos θ sin θ sin θ cos θ x y . displaystyle begin bmatrix x' y' end bmatrix begin bmatrix cos theta amp;- sin theta sin theta amp; cos theta end bmatrix begin bmatrix x y end bmatri...
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Educational Institutions have an essential role in promoting the teaching and learning process, within universities, colleges, and communities. Due to the recent coronavirus COVID 19 pandemic, many educational institutions adopted hybrid learning (HL), which is a combination of classic and online learning. It integrate...
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In other (my) words, the postulates of “quantum mechanics” do not (necessarily) give a physical theory. So, it does not “result in … physics” or “result in” anything. QM is a class of computation. And as a class of computation, there will be computational characteristics that go along with using it. So, think of it lik...
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A Bézier curve of degree n can be converted into a Bézier curve of degree n 1 with the same shape . This is useful if software supports Bézier curves only of specific degree. For example, systems that can only work with cubic Bézier curves can implicitly work with quadratic curves by using their equivalent cubic repr...
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``` Bijoy K. Dey and Stuart Bothwell and Paul W. Ayers Fast Marching Method for Calculating Reactive Trajectories for Chemical Reactions . . . . . . . . . . . . . . . 1--25 Georges H. Wagni\`ere On the Chirality of Torus Curves and Knots . . . . . . . . . . . . . . . . . 27--31 Aimei Yu and Xuezheng Lv The Merr...
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2. Early history The definitional problem seeking to answer the question "what is dimension?" is detectable in the writings of the Greek philosophers and mathematicians. To indicate that "dimension" has ancient roots we mention two of the most prominent authors. According to Euclid, a point is that which has no part, a...
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This paper will describe the implementation of competitively based and highly structured scientific programs in a framework of a science school at Chalmers University of Technology. We discuss the implementation, advantages and disadvantages of those programs, the requirements students and supervisors should fulfill, w...
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In large-scale text mining applications such as tweet classification there is need for fast yet robust techniques to summarize or track concepts without prior knowledge of the content. Linear algebra plays a very important role in the design and implementation of the underlying algorithms needed for the automated summa...
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Aryabhata wrote two works: the Aryabhatiya in 499, when he was 23 years old, and another treatise, which has been lost. The former work is a short summary of Hindu mathematics, con¬ sisting of three sections on mathematics, time and planetary models, and the sphere. The sec¬ tions on mathematics contain 66 mathematical...
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Series: Science Encyclopedia Pages In File: 577 Language: English Identifier: 0816051240,9780816051243 Org File Size: 6,531,968 Toc: Cover......Page 1ISBN 0-8160-5124-0......Page 3CONTENTS......Page 4ACKNOWLEDGMENTS......Page 6INTRODUCTION......Page 7A......Page 10B......Page 41C......Page 65D......Page 125E......Page ...
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Nonetheless, mathematicians and mathematical physicists were disinclined to forget or forgive that Einstein had achieved his work by thinking in physics rather than mathematics. One Fine Hall mathematician suggested that Einstein’s general theory “made natural the surmise that all physics might be looked at as a kind o...
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In the second plot in Fig. 3, one can see that the line with impact parameter *b* = −5 has some interesting behavior: it makes a loop. It starts on the right moving anti-clockwise, then switches direction to moving clockwise, reflects and finally switches direction again to finally move anti-clockwise again. At first s...
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Cognition arises from the coordinated interaction of brain regions with distinct computational roles. Despite improvements in our ability to extract the dynamics underlying circuit computation from population activity recorded in individual areas, understanding how multiple areas jointly support distributed computation...
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Gaussian Processes (GPs) are widely seen as the state-of-the-art surrogate models for Bayesian optimization (BO) due to their ability to model uncertainty and their performance on tasks where correlations are easily captured (such as those defined by Euclidean metrics) and their ability to be efficiently updated online...
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We propose a novel QTGNN framework for detecting fraudulent transactions in large-scale financial networks. By integrating quantum embedding, variational graph convolutions, and topological data analysis, QTGNN captures complex transaction dynamics and structural anomalies indicative of fraud. The methodology includes ...
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*Abstract:* We present a unified framework for analyzing local SGD methods in the convex and strongly convex regimes for distributed/federated training of supervised machine learning models. We recover several known methods as a special case of our general framework, including Local-SGD/FedAvg, SCAFFOLD, and several va...
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On Jan 5th, despite bitter cold, Trump ordered staff to keep the door to the Rose Garden open so he could hear the music and cheering from his supporters in Freedom Plaza. During speech on Ellipse, law enforcement discovered several firearms and 269 knives (with additional firearms, tomahawk axes, pitchforks, and sharp...
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Dopamine is a simple chemical compound that was once thought to have very little neurological significance, until 1957 when the Swedish researcher Arvid Carlsson showed that it was in fact a neurotransmitter. Carlsson had given reserpine—a drug known to deplete neurotransmitters—to rabbits, which then became catatonic....
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If he thinks he knows more than me in QM, then he should not need to look up the Atiyah-Singer index theorem. He should not have to make excuses for why he can’t identify a simple equation that almost everyone who’s ever done a QM calculation should instantly recognize. Again, it’s like this Impostor situation being in...
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The function of biomolecules such as proteins depends on their ability to interconvert between a wide range of structures or "conformations." Researchers have endeavored for decades to develop computational methods to predict the distribution of conformations, which is far harder to determine experimentally than a stat...
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Reading between the lines, it sounds like you are committing the fallacy of the layman interpretation of the "law of averages": that if a coin comes up heads 10 times in a row, then it needs to come up tails more often from then on, in order to balance out that initial asymmetry. The real point is that no divine presen...
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The success of collaboration between humans and robots in d environments relies on the robot's real-time adaptation to human motion. Specifically, in Social Navigation, the agent should be enough to assist but ready to back up to let the human move freely, avoiding collisions. Human trajectories emerge as crucial cues...
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In this paper, we provide new approximation algorithms for dynamic variations of the longest increasing subsequence (LIS) problem, and the complementary distance to monotonicity (DTM) problem. In this setting, operations of the following form arrive sequentially: (i) add an element, (ii) remove an element, or (iii) sub...
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Rectified Linear Unit (ReLU) is not linear, and it's not just a "minor detail" that people are nitpicking, it's a significant important reason of why it is useful to begin with. A neural network with the identity matrix or a regular linear unit used as the activation function would not be able to model non linear funct...
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In this paper we study pattern-replacement equivalence relations on the set $S\_n$ of permutations of length $n$. Each equivalence relation is determined by a set of patterns, and equivalent permutations are connected by pattern-replacements in a manner similar to that of the Knuth relation. One of our main results gen...
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Chlorine dioxide, ClO2, a non-patentable substance, is a molecule composed by two of the most disinfectant elements found in nature, chlorine and oxygen, both of them electronegative. As early as 1850, ClO2 has been being used in the oxidation of water and, since 1944, in the treatment of waste water and the bleaching ...
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What is a little remarkable to me is how well Shannon did financially by 3 early venture capital investments, and how little Shannon contributed intellectually after his information theory paper; I had always somehow assumed that Claude Shannon, a genius who had offhandedly made a major contribution to genetics simply ...
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**Measurement of the inhomogeneity of the KATRIN tritium source electric potential by high-resolution spectroscopy of conversion electrons from Kr** KATRIN Collaboration; Acharya, H.; Aker, M.; Batzler, D.; Beglarian, A.; Beisenkötter, J.; Biassoni, M.; Bieringer, B.; Biondi, Y.; Block, F.; Bornschein, B.; Bornschein, ...
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Existing works have generated explanations for deep neural network decisions to provide insights into model behavior. We observe that these explanations can also be used to identify concepts that caused misclassifications. This allows us to understand the possible limitations of the dataset used to train the model, par...
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