Net Deals Web Search

Search results

1. Results From The WOW.Com Content Network

2. Equivalent definitions of mathematical structures - Wikipedia

   en.wikipedia.org/wiki/Equivalent_definitions_of...

   In mathematics, equivalent definitions are used in two somewhat different ways. First, within a particular mathematical theory (for example, Euclidean geometry ), a notion (for example, ellipse or minimal surface) may have more than one definition. These definitions are equivalent in the context of a given mathematical structure ( Euclidean ...

3. Equality (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Equality_(mathematics)

   Equality (mathematics) In mathematics, equality is a relationship between two quantities or, more generally, two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. Equality between A and B is written A = B, and pronounced " A equals B ".

4. Representation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Representation_(mathematics)

   Representation (mathematics) In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures. Roughly speaking, a collection Y of mathematical objects may be said to represent another collection X of objects, provided that the properties and relationships ...

5. Similarity (geometry) - Wikipedia

   en.wikipedia.org/wiki/Similarity_(geometry)

   Similarity (geometry) In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.

6. Equation - Wikipedia

   en.wikipedia.org/wiki/Equation

   The first use of an equals sign, equivalent to 14 x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [ 1] In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. [ 2][ 3] The word equation and its cognates in ...

7. Mathematical structure - Wikipedia

   en.wikipedia.org/wiki/Mathematical_structure

   Mathematical structure. In mathematics, a structure is a set provided with some additional features on the set (e.g. an operation, relation, metric, or topology ). Often, the additional features are attached or related to the set, so as to provide it with some additional meaning or significance. A partial list of possible structures are ...

8. Equivalence of categories - Wikipedia

   en.wikipedia.org/wiki/Equivalence_of_categories

   Equivalence of categories. In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two categories that establishes that these categories are "essentially the same". There are numerous examples of categorical equivalences from many areas of mathematics. Establishing an equivalence involves ...

9. Glossary of mathematical jargon - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   projection. A projection is, roughly, a map from some space or object to another that omits some information on the object or space. For example, R 2 → R , ( x , y ) ↦ x {\displaystyle \mathbb {R} ^ {2}\to \mathbb {R} , (x,y)\mapsto x} is a projection and its restriction to a graph of a function, say, is also a projection.