Delve into the principles and applications of symmetry in magnetism through topics like tensor transformations, Edelstein effect, and breaking inversion symmetry in magnetic materials. Explore the role of crystal structures and interfaces in breaking symmetry, especially in antiferromagnets, providi

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This content delves into the significance of Diffusion Weighted Imaging (DWI) in studying the motion of water molecules in brain tissue. It explains how water diffusion varies in different brain matter types and explores techniques like Diffusion Tensor Imaging (DTI). The impact factors on diffusion

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The fate of herbicides in soil is influenced by factors such as micro-organism decomposition, chemical decomposition, photodecomposition, adsorption by soil, surface runoff, leaching, plant uptake, and volatilization. Micro-organisms like algae, fungi, actinomyces, and bacteria play a crucial role i

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Learn about the concept of decomposition and its importance in problem-solving scenarios in both real-life and Computer Science. Discover how breaking down complex problems into manageable sub-problems can lead to efficient solutions. Explore how decomposition aligns with algorithmic thinking and en

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Empirical Mode Decomposition (EMD) is a signal processing technique used for separating different oscillation modes in a time series signal. This paper explores the parallel implementation of Multivariate Empirical Mode Decomposition (MEMD) on GPU, discussing numerical steps, implementation details,

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The partial fraction decomposition method is a powerful technique used to simplify rational functions by breaking them into simpler fractions. It involves reducing the degree of either the numerator or the denominator. Learn about proper and improper fractions, simple and repeated factors, and how t

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Singular Value Decomposition (SVD) is a powerful method for solving systems of linear equations or matrices that are singular or close to singular. When LU-decomposition or Gaussian elimination fail, SVD provides a stable matrix decomposition helpful in various applications. It is particularly usefu

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The Singular Value Decomposition (SVD) is a powerful factorization method for matrices, extending the concept of eigenvectors and eigenvalues to non-symmetric matrices. This decomposition allows any matrix to be expressed as the product of three matrices: two orthogonal matrices and a diagonal matri

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This unit covers key concepts in computational thinking, including decomposition, abstraction, and algorithmic thinking. Decomposition involves breaking down complex problems, abstraction focuses on identifying essential elements, and algorithmic thinking is about defining clear instructions to solv

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Singular Value Decomposition (SVD) is a powerful method that decomposes a matrix into orthogonal matrices and diagonal matrices. It helps in understanding the range, rank, nullity, and goal of matrix transformations. The method involves decomposing a matrix into basis vectors that span its range, id

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Singular Value Decomposition (SVD) is a powerful technique in linear algebra that breaks down any matrix into orthogonal stretching followed by rotation. It reveals insights into transformations, basis vectors, eigenvalues, and eigenvectors, aiding in understanding linear transformations in a geomet

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Decomposition of treatment sums of squares involves utilizing prior information about treatment structure to analyze treatment group means through contrasts and hypothesis testing. This process allows for the testing of specific hypotheses and the creation of F-statistics. In an example scenario wit

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This paper introduces a new technique for generating a simple and predictable structured hex-mesh, providing better convergence properties and more space efficiency in computer graphics and engineering applications. The method involves computing 3D harmonic function decomposition, slicing the object

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Exploring the intricacies of the energy-momentum tensor of the electromagnetic field, including its components, symmetries, and implications on field interactions and invariants. Delve into the mathematical derivations and transformations involved in studying this fundamental concept in electromagne

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Exploring the mechanics of nucleons and the physics goals of the Electron-Ion Collider (EIC), this content delves into the origin of nucleon mass and spin, emergent properties of dense gluon systems, and energy-momentum tensor in QCD. It discusses the role of gluons in understanding nucleon structur

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Lecture 01 in CSE 122 covers Java review, functional decomposition, and code quality. Announcements include a Java review session, programming assignments, and reminders on Java syntax. The session encourages active participation through in-class activities using Slido polls. Students are also urged

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Bi-decomposition is a vital technique in logic synthesis for restructuring Boolean networks. This paper discusses the methodology of breaking down large Boolean functions using Blocking Edge Graphs (BEG) to simplify physical design and reduce complexity. The process involves constructing BEG, perfor

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Composting carcasses with organic materials can accelerate biological decomposition, destroy pathogens, and produce a nutrient-rich humus. Proper carbon-to-nitrogen ratios, moisture levels, oxygen maintenance, and temperature control are crucial for the efficiency of the composting process. Mixing a

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Limited availability of high bandwidth on-device memory presents a challenge in exploring new architectures for deep neural networks. Memory constraints have been identified as a bottleneck in state-of-the-art models. Various strategies such as Tensor Rematerialization, Bottleneck Activations, and G

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Exploring the implications of the Equivalence Principle Violation after reheating in the context of the accelerated expansion of the universe. The study delves into the Horndeski vector-tensor theory, gravitational waves, and the impact of modified gravity and dark energy. Insights are provided on t

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The Hall Effect in conductors is described in detail, showcasing how a magnetic field affects the conductivity tensor, breaking symmetry and leading to unique properties. The discussion covers the separation of the conductivity tensor, the impact of magnetic fields on conductivity components, and th

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In this research, the complexity of rectangular matrix multiplication is enhanced by analyzing the fourth power of the Coppersmith-Winograd tensor. By extending the understanding of the tensor's power, significant advancements have been made in the efficiency of non-square matrix multiplication, sur

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Explore the complex realm of nucleon spin decomposition and the enigmatic proton spin problem, delving into concepts like orbital angular momentum, quarks and gluons' helicity, and longitudinal double spin asymmetry in polarized deep inelastic scattering. Learn about the spin crisis, gluon polarizat

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This paper discusses load balancing algorithms for block-sparse tensor contractions, focusing on dynamic load balancing challenges and implementation strategies. It explores the use of Global Arrays (GA), performance experiments, Inspector/Executor design, and dynamic buckets implementation to optim

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This presentation outlines the detailed procedure for generating basis signals in the context of AGATA data processed through GRETINA signal decomposition. It covers the generation of pristine basis signals, superpulse analysis, and the creation of cross-talk corrected basis files. The process invol

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Engage students in understanding decomposition through hands-on experiments, predictions based on factors, and analysis of data. Explore various decomposition examples, set up experiments with different variables, and analyze outcomes to enhance comprehension. Utilize resources like LIDET graphs and

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Domain decomposition is a parallelization method used for developing MPI programs by partitioning the domain into portions and assigning them to different processes. Three common ways of partitioning are block, cyclic, and block-cyclic, each with its own communication requirements. Considerations fo

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Explore the fundamental concepts of linear algebra, including matrix notation, existence of solutions, vector spaces, computation tasks, and LU decomposition techniques. Learn about Gauss elimination, Crout's algorithm, and how to solve linear systems efficiently using LU decomposition.

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Understanding procedural decomposition and static methods is essential in programming to reduce redundancy, organize code effectively, and manage complexity. Procedural decomposition involves dividing a problem into methods, while static methods help in code reuse and managing complexity. By designi

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This research paper presented an evaluation of communication costs for distributed sparse tensor factorization on multi-GPU systems. It discussed the background of tensors, tensor factorization methods like CP-ALS, and communication requirements in RefacTo. The motivation highlighted the dominance o

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The PCWG (Performance Characterization Working Group) aims to improve real-world wind turbine performance prediction beyond the simple Power=P(v) equation. By introducing concepts like Inner-Outer Range Decomposition and Average-Specific Decomposition, the group addresses factors such as environment

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Explore various graph partition problems and decomposition methods such as regularity partitions, representative sets, and 2-neighborhood representations. Learn about techniques to aggregate, scale down, sample, and divide graphs for efficient analysis and computation. Discover how nodes can be repr

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This article discusses non-negative tensor factorization with RESCAL, covering topics such as Non-Negative Matrix Factorization, Multiplicative Updates, RESCAL for Relational Learning, and Non-Negative Constraint for RESCAL. It explores how factorizing matrices/tensors into non-negative factors can

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Explore the process of decomposition in food webs through a series of investigations involving strawberries and their decomposition process. Uncover the role of mold in decomposition, the consistency of mass despite shrinkage, and the recycling of matter in ecosystems. Engage with questions on the d

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Exploring the concept of the unit of security in information systems, this talk delves into formal perspectives, software security assessments, and the re-identification risk of pseudonymised data. It clarifies that the unit of functional composition differs from the unit of security, emphasizing th

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This research by Dr. Yu Zheng aims to estimate travel time on road networks instantly using historical and current trajectories generated by vehicles. The methodology involves a context-aware tensor decomposition approach, optimal concatenation, and frequent trajectory pattern mining to address chal

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Towards a universal approach for disentangling complex phase-space integrands in particle collisions, researchers are exploring methods to tame jet hair, cancel divergences in observables, and develop frameworks for precise calculations at various perturbative orders. The vision includes mastering m

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This course covers topics such as model selection, error decomposition, bias-variance tradeoff, and classification using Naive Bayes. Students are required to implement linear regression, Naive Bayes, and logistic regression for homework. Important administrative information about deadlines, mid-ter

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Explore the features of good relational design, including atomic domains and first normal form decomposition. Learn about functional dependency theory, algorithms, and database design processes. Discover the importance of atomicity in domain design and the implications of non-atomic values. Gain ins

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Bitruss decomposition is a powerful concept in graph theory to identify cohesive subgraphs in bipartite graphs. This paper by Kai Wang, Xuemin Lin, Lu Qin, Wenjie Zhang, and Ying Zhang presents an efficient approach for computing bitruss numbers of edges in large-scale bipartite graphs. The study ex

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