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Linear Spaces and Linear Map**s
Based on the mathematical preparations in the previous chapter, we will learn about a linear space, the stage on which linear algebra is played, and...
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Gradient in the Problem of Controlling Processes Described by Linear Pseudohyperbolic Equations
AbstractThe paper considers the problem of controlling processes whose mathematical model is an initial–boundary value problem for a...
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Multi-Linear Pseudo-PageRank for Hypergraph Partitioning
Motivated by the PageRank model for graph partitioning, we develop an extension of PageRank for partitioning uniform hypergraphs. Starting from...
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Linear Programming
A dietician predicts that her Antarctic expedition team should consume 2300 oz of milk chocolate and 1200 oz of almonds during an upcoming 10-week...
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Generalized Method of Finite Integral Transformations in Linear and Nonlinear Static Problems for Shallow Shells
We propose an approach to solving two-dimensional linear and nonlinear boundary-value problems of statics for shallow shells based on the generalized...
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Worked Out Problem 10: An Idealized Contact Problem in Linear Elasticity with Friction
In this chapter, we consider a vector elliptic PDE modeling a contact problem in linear elasticity with friction in a two-dimensional and...
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Strong Stability Preserving Second Derivative General Linear Methods Based on Taylor Series Conditions for Discontinuous Galerkin Discretizations
We study the construction of explicit second derivative general linear methods (SGLMs) with strong stability preserving (SSP) property which are...
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Linear Diophantine Fuzzy Information Aggregation with Multi-criteria Decision-Making
Linear Diophantine fuzzy set (LDFS) is the integral part of decision-making process under uncertain environment, because of its amazing quality of...
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Linear Algebra Tools for Data Analysis
We begin with a short and intense review of linear algebra. There are a number of reasons for this approach; first and foremost is that linear...
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Fitting linear functions:theory and practice
Scientists very often (as in nearly all the time) want to find relationships between measured data points. One of the most important relationships is...
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On randomized partial block Kaczmarz method for solving huge linear algebraic systems
This paper investigates the numerical solution of huge linear algebraic systems, in which the number of rows or columns of the coefficient matrix A ...
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Generalized linear diophantine fuzzy Choquet integral with application to the project management and risk analysis
A linear Diophantine fuzzy number (LDFN), by incorporating reference parameters (RPs), provides freedom to the decision makers in evaluating and...
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Systems of linear equations
How does Google work? How does it generate a ranked list of web pages, starting with the most popular? Nowadays, it uses many methods and approaches...
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Linear Integer Programming Model as Mathematical Ware for an Optimal Flow Production Planning System at Operational Scheduling Stage
Abstract—The problem of optimal flow production planning at the operational scheduling stage is being studied, using the example of the...
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On linear independence of linear and bilinear point-based splines
The basis of T-splines are the point-based splines (PB splines) that are unstructured meshless splines. In this paper, we study associated PB splines...
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Linear Transformations
In Chapter 1, we introduced three applications. In Chapter 2, we considered vector spaces of objects to be radiographed and their respective...
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On the Linear Stability of a Vortex Pair Equilibrium on a Riemann Surface of Genus Zero
We present a simple procedure to perform the linear stability analysis of a vortex pair equilibrium on a genus zero surface with an arbitrary metric....
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Solving systems of linear equations using matrices
At the beginning of the previous chapter we saw how Google’s PageRank algorithm could be used to rank a group of people, or a group of web pages, by...
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Exploring the Linear and Nonlinear Causality Between Internet Big Data and Stock Markets
In the era of big data, stock markets are closely connected with Internet big data from diverse sources. This paper makes the first attempt to...