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Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 5 2 (5 squared). In mathematics, a square root of a number x is a number y such that =; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1]
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. For example, 3 is a square root of 9, since 3 2 = 9, and −3 is also a square root of 9, since (−3) 2 = 9.
The principal square root of a real positive semidefinite matrix is real. [3] The principal square root of a positive definite matrix is positive definite; more generally, the rank of the principal square root of A is the same as the rank of A. [3] The operation of taking the principal square root is continuous on this set of matrices. [4]
The following is an alphabetical list of Greek and Latin roots, stems, and prefixes commonly used in the English language from P to Z. See also the lists from A to G and from H to O.
Meaning Origin language and etymology Example(s) quadr(i)-four Latin quattuor: quadriceps: radi-radiation Latin radiō, I radiate, emit beams; from radius, ray of light, spoke of a wheel radiowave: radic-referring to the beginning, or the root, of a structure, usually a nerve or a vein Latin rādīx, root radiculopathy: re-again, back Latin re ...
Physical scientists often use the term root mean square as a synonym for standard deviation when it can be assumed the input signal has zero mean, that is, referring to the square root of the mean squared deviation of a signal from a given baseline or fit. [8] [9] This is useful for electrical engineers in calculating the "AC only" RMS of a signal.
The radical symbol refers to the principal value of the square root function called the principal square root, which is the positive one. The two square roots of a negative number are both imaginary numbers , and the square root symbol refers to the principal square root, the one with a positive imaginary part.
Root Meaning in English Origin language Etymology (root origin) English examples lab-, lep-[1]grasp, seize, take: Greek: λαμβάνειν (lambánein), λῆψις (lêpsis), λῆμμα (lêmma)