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Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may express this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful or describe mathematics as an art form, (a position taken by G. H. Hardy [ 1]) or, at a ...
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
The face value, sometimes called nominal value, is the value of a coin, bond, stamp or paper money as printed on the coin, stamp or bill itself [1] by the issuing authority. The face value of coins, stamps, or bill is usually its legal value. However, their market value need not bear any relationship to the face value.
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.
Statistics (from German: Statistik, orig. "description of a state, a country") [ 1][ 2] is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. [ 3][ 4][ 5] In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or ...
Expression (mathematics) In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can denote numbers ( constants ), variables, operations, functions. Other symbols include punctuation signs and brackets (often used for grouping, that is for ...
This use of "constant" as an abbreviation of "constant function" must be distinguished from the normal meaning of the word in mathematics. A constant, or mathematical constant is a well and unambiguously defined number or other mathematical object, as, for example, the numbers 0, 1, π and the identity element of a group. Since a variable may ...
Common Core. The Common Core State Standards Initiative, also known as simply Common Core, was a multi-state educational initiative begun in 2010 with the goal of increasing consistency across state standards, or what K–12 students throughout the United States should know in English language arts and mathematics at the conclusion of each ...