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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, since to do so would require writing out an inconveniently long string of digits. It may be referred to as scientific form or standard index form, or standard form in the United Kingdom.
An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1]
The base index of an array can be freely chosen. Usually programming languages allowing n-based indexing also allow negative index values and other scalar data types like enumerations, or characters may be used as an array index. Using zero based indexing is the design choice of many influential programming languages, including C, Java and Lisp ...
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]
The integer n is called the index or degree, and the number x of which the root is taken is the radicand. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. The computation of an n th root is a root extraction.
This is the simplest form of bitmap index. Most columns will have more distinct values. For example, the sales amount is likely to have a much larger number of distinct values. Variations on the bitmap index can effectively index this data as well. We briefly review three such variations.
The partial sums themselves form a sequence (), which is called the sequence of partial sums of the series =. If the sequence of partial sums converges, then we say that the series ∑ n = 1 ∞ a n {\textstyle \sum _{n=1}^{\infty }a_{n}} is convergent , and the limit lim N → ∞ S N {\textstyle \lim _{N\to \infty }S_{N}} is called the value ...
The Killing form is the simplest 2-tensor that can be formed from the structure constants. The form itself is then =. In the above indexed definition, we are careful to distinguish upper and lower indices (co-and contra-variant indices). This is because, in many cases, the Killing form can be used as a metric tensor on a manifold, in which case ...