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On the Krull-Schmidt theorem with application to sheaves
On the Krull-Schmidt theorem with application to sheaves

Analytical-numerical method for attractor localization of generalized
Analytical-numerical method for attractor localization of generalized

... periodic solution. In the first case it is possible to find x1 (t) numerically, starting a trajectory of system (4) with j = 1 from the initial point x0 (0). Starting from the point x0 (0), after transient process the computational procedure reaches to the periodic solution x1 (t) and computes it. I ...
homogeneous polynomials with a multiplication theorem
homogeneous polynomials with a multiplication theorem

Towers of Free Divisors
Towers of Free Divisors

Slide 1.7
Slide 1.7

Hindawi Publishing Corporation EURASIP Journal on Bioinformatics and Systems Biology
Hindawi Publishing Corporation EURASIP Journal on Bioinformatics and Systems Biology

10. Constrained least squares
10. Constrained least squares

On the Extension of Complex Numbers - Rose
On the Extension of Complex Numbers - Rose

Lecture 1-3: Abstract algebra and Number theory
Lecture 1-3: Abstract algebra and Number theory

The discriminant
The discriminant

Solvable Groups, Free Divisors and Nonisolated
Solvable Groups, Free Divisors and Nonisolated

Inverse Systems and Regular Representations
Inverse Systems and Regular Representations

sparse matrices in matlab: design and implementation
sparse matrices in matlab: design and implementation

CS 445 / 645 Introduction to Computer Graphics
CS 445 / 645 Introduction to Computer Graphics

Linear Combinations and Linearly Independent Sets of Vectors
Linear Combinations and Linearly Independent Sets of Vectors

Coding theory lectures
Coding theory lectures

Notes on Algebraic Structures
Notes on Algebraic Structures

How linear algebra can be applied to genetics
How linear algebra can be applied to genetics

... The breeding program in this example is an extreme case of “inbreeding”, which is mating between individuals with similar genotypes. A well-known example of inbreeding is mating between brothers and sisters. Such breeding schemes were used by the royal families of England, in hopes of keeping “the r ...
Notes on Algebraic Structures - Queen Mary University of London
Notes on Algebraic Structures - Queen Mary University of London

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Preliminary version

Sketching as a Tool for Numerical Linear Algebra
Sketching as a Tool for Numerical Linear Algebra

Invariant differential operators 1. Derivatives of group actions: Lie
Invariant differential operators 1. Derivatives of group actions: Lie

... Theorem. In any particular example, even less is usually required to make sense of this requirement. [4] As in previous situations where a group acts transitively on a set with additional structure, under modest ...
Rotation formalisms in three dimensions
Rotation formalisms in three dimensions

... produces two terms: a scalar part from the inner product and a bivector part from the outer product. This bivector describes the plane perpendicular to what the cross product of the vectors would return. Bivectors in GA have some unusual properties compared to vectors. Under the geometric product, b ...
Operators on Hilbert space
Operators on Hilbert space

THE KRONECKER PRODUCT OF SCHUR FUNCTIONS INDEXED
THE KRONECKER PRODUCT OF SCHUR FUNCTIONS INDEXED

... On the other hand, if c < y < c + d, then we subdivide the problem in two parts. The number of position to the north of us is counted by σb+1,y−c+1 (x − a). The number of position to the south of us is counted by σb+1,c+d−y+1 (x−a). We define δ to be the number of points in N2 that we counted twice ...
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Cayley–Hamilton theorem

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