The Mathematics Thought in Linear Algebra
نویسندگان
چکیده
منابع مشابه
Algebra and discrete mathematics
In this work first we study the properties of nearsemirings to introduce an α-radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.
متن کاملThe Algebra of Linear Algebra
3. You are already familiar with the concept of vector spaces in the form of nite dimensional Euclidean vector spaces, and most of what we do in these lectures will involve these spaces (and, indeed, will also assume that the dot product operation is well-de ned so that we can de ne the matrix operations associated with linear transformations). However, it will also be useful to consider some ...
متن کاملLinear Algebra . A publication of the International Linear Algebra Society
Nonnegative nilpotent lower triangular completions of a nonnegative nilpotent matrix are studied. It is shown that for every natural number between the index of the matrix and its order, there exists a completion that has this number as its index. A similar result is obtained for the rank. However, unlike the case of complex completions of complex matrices, it is proved that for every nonincrea...
متن کاملOn the Algebra in Boole's Laws of Thought
This article explores the ideas that went into George Boole’s development of an algebra for logic in his book The Laws of Thought. The many theories that have been proposed to explain the origins of his algebra have ignored his wife Mary Boole’s claim that he was deeply influenced by Indian logic. This paper investigates this claim and argues that Boole’s focus was more than a framework for pro...
متن کاملMax-algebra: the linear algebra of combinatorics?
Let a ⊕ b = max(a, b), a ⊗ b = a + b for a, b ∈ R := R ∪ {−∞}. By max-algebra we understand the analogue of linear algebra developed for the pair of operations (⊕,⊗) extended to matrices and vectors. Max-algebra, which has been studied for more than 40 years, is an attractive way of describing a class of nonlinear problems appearing for instance in machinescheduling, information technology and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2016
ISSN: 2324-7991,2324-8009
DOI: 10.12677/aam.2016.51011