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  2. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    It may be referred to as scientific form or standard index form, or standard form in the United Kingdom. This base ten notation is commonly used by scientists, mathematicians, and engineers, in part because it can simplify certain arithmetic operations. On scientific calculators, it is usually known as "SCI" display mode.

  3. Index notation - Wikipedia

    en.wikipedia.org/wiki/Index_notation

    A vector treated as an array of numbers by writing as a row vector or column vector (whichever is used depends on convenience or context): = (), = Index notation allows indication of the elements of the array by simply writing a i, where the index i is known to run from 1 to n, because of n-dimensions. [1]

  4. Greek letters used in mathematics, science, and engineering

    en.wikipedia.org/wiki/Greek_letters_used_in...

    Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.

  5. Definitions of mathematics - Wikipedia

    en.wikipedia.org/wiki/Definitions_of_mathematics

    Mathematics is the science that draws necessary conclusions. [10] Benjamin Peirce 1870. All Mathematics is Symbolic Logic. [8] Bertrand Russell 1903. Peirce did not think that mathematics is the same as logic, since he thought mathematics makes only hypothetical assertions, not categorical ones. [11]

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science. Some just say, "mathematics is what mathematicians do". [166] [167] A common approach is to define mathematics by its object of study. [168] [169] [170 ...

  7. Zero-based numbering - Wikipedia

    en.wikipedia.org/wiki/Zero-based_numbering

    While the ordinal of 0 mostly finds use in communities directly connected to mathematics, physics, and computer science, there are also instances in classical music. The composer Anton Bruckner regarded his early Symphony in D minor to be unworthy of including in the canon of his works, and he wrote gilt nicht ("doesn't count") on the score and ...

  8. Index of a subgroup - Wikipedia

    en.wikipedia.org/wiki/Index_of_a_subgroup

    A subgroup H of finite index in a group G (finite or infinite) always contains a normal subgroup N (of G), also of finite index. In fact, if H has index n, then the index of N will be some divisor of n! and a multiple of n; indeed, N can be taken to be the kernel of the natural homomorphism from G to the permutation group of the left (or right ...

  9. Index set - Wikipedia

    en.wikipedia.org/wiki/Index_set

    In mathematics, an index set is a set whose members label (or index) members of another set. [ 1 ] [ 2 ] For instance, if the elements of a set A may be indexed or labeled by means of the elements of a set J , then J is an index set.

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