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A module is called flat if taking the tensor product of it with any exact sequence of R-modules preserves exactness. Torsionless A module is called torsionless if it embeds into its algebraic dual. Simple A simple module S is a module that is not {0} and whose only submodules are {0} and S. Simple modules are sometimes called irreducible. [5 ...
Elementary algebra, also known as high school algebra or college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 2 ] whilst algebra introduces variables (quantities without fixed values).
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
In plain text and programming languages, a slash (also called a solidus) is used, e.g. 3 / (x + 1). Exponents are usually formatted using superscripts, as in x 2 . In plain text , the TeX mark-up language, and some programming languages such as MATLAB and Julia , the caret symbol, ^, represents exponents, so x 2 is written as x ^ 2.
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The term algebra is derived from the Arabic word al-jabr meaning 'the reunion of broken parts' that he used for naming one of these methods in the title of his main treatise. [31] [32] Algebra became an area in its own right only with François Viète (1540–1603), who introduced the use of variables for representing unknown or unspecified ...
OK, that's it for hints—I don't want to totally give it away before revealing the answer! Related: 16 Games Like Wordle To Give You Your Word Game Fix More Than Once Every 24 Hours
The most popular starting word, by the way, is “adieu.” The most played Wordle puzzle in 2024 was on April 23. That word was "rover." A total of 5.6 million streaks ended on Oct. 15, with "corer."