Results 181 to 190 of about 232,590 (215)

The Cartesian Product

1970
When we say in analytic geometry that a point has co-ordinates (x, y), the order in which x and y occur, in the symbol (x, y), is important: (1, 2) ≠ (2, 1). For this reason we call (x, y) an ordered pair. Moreover, x and y come from sets; in this case x, y ∈ R. This idea can be generalizedf as follows. Let 𝒰 be a universe.
H. B. Griffiths, Peter Hilton
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CARTESIAN PRODUCTS

1972
Publisher Summary This chapter focuses on Cartesian products. It presents the theorem that states that the Cartesian product of two topological spaces in mathematics is a topological space. The chapter also provides an overview of projections and continuous mappings and presents a proof of the theorems that state that the projections are continuous ...
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A Note on Cartesian Products

American Journal of Mathematics, 1969
0. Introduction. Let as be an arc in the interior In of the n-cell In and let X be the quotient space I"/ac obtained by shrinking a to a point. According to Kwun and Raymond [4], X X 12 is an (n + 2)-cell. The crucial tool in their proof is the result of Andrews-Curtis that, under the above conditions, In/a X R1 is homeomorphic to In XR1.
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Cartesian Product Structure

1989
In this section we introduce on X, the set of alternatives, the main structure of interest in this monograph. We shall assume throughout the sequel that X is a Cartesian product \({\prod _{{\text{i}} \in {\text{I}}}}{\Gamma _{\text{i}}}\), with I an index set. We shall nearly always, with Chapter V excepted, assume that I is a finite set (1,...,n), for
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Natural products in drug discovery: advances and opportunities

Nature Reviews Drug Discovery, 2021
Atanas G Atanasov   +2 more
exaly  

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

Reviews of Modern Physics, 2021
J Ignacio Cirac   +2 more
exaly  

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