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The same vector can be represented in two different bases (purple and red arrows). In mathematics, a set B of vectors in a vector space V is called a basis (pl.: bases) if every element of V may be written in a unique way as a finite linear combination of elements of B.
bases / ˈ b eɪ s ɪ z / noun plural of base / ˈ b eɪ s iː z / noun plural of basis: bass / ˈ b eɪ s / noun low in pitch / ˈ b æ s / noun a fish blessed / ˈ b l ɛ s ɪ d / adjective having divine aid / ˈ b l ɛ s t / verb past tense of bless: bow / ˈ b oʊ / noun a stringed weapon, or the initiator of sound in some stringed musical ...
In mathematics, a base (or basis; pl.: bases) for the topology τ of a topological space (X, τ) is a family of open subsets of X such that every open set of the topology is equal to the union of some sub-family of .
This article uses both phrases. Is "bases of power" the plural of "base" or "basis"? Omphaloscope talk 17:07, 11 October 2018 (UTC) Looking at the literature it appears to always be bases of power rather than basis. Squatch347 16:26, 15 October 2018 (UTC) Also looked at the usage.
Bases may refer to: Bases (fashion), a military style of dress adopted by the chivalry of the sixteenth century; Business Association of Stanford Entrepreneurial Students (BASES) the plural form of base (disambiguation) the plural form of basis (disambiguation)
where "old" and "new" refer respectively to the initially defined basis and the other basis, and are the column vectors of the coordinates of the same vector on the two bases. A {\displaystyle A} is the change-of-basis matrix (also called transition matrix ), which is the matrix whose columns are the coordinates of the new basis vectors on the ...
John O’Hurley believes his character on The Young and the Restless character, Dr. James Grainger, could have done a better job on the show. “I don't think I kept a single patient alive in the ...
In a positional numeral system, the radix (pl.: radices) or base is the number of unique digits, including the digit zero, used to represent numbers.For example, for the decimal system (the most common system in use today) the radix is ten, because it uses the ten digits from 0 through 9.