The square root of 2 (approximately 1.4142) is a positive real number that, when multiplied by itself or squared, equals the number 2. It may be written...
39 KB (5,508 words) - 12:20, 15 May 2024
mathematics, a square root of a number x is a number y such that y 2 = x {\displaystyle y^{2}=x} ; in other words, a number y whose square (the result of multiplying...
48 KB (6,179 words) - 01:01, 13 May 2024
Methods of computing square roots are algorithms for approximating the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number...
67 KB (11,670 words) - 21:20, 4 April 2024
{\textstyle {\sqrt {3}}} or 3 1 / 2 {\displaystyle 3^{1/2}} . It is more precisely called the principal square root of 3 to distinguish it from the negative...
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mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix...
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In mathematics, the root mean square (abbrev. RMS, RMS or rms) of a set of numbers is the square root of the set's mean square. Given a set x i {\displaystyle...
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The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. It is more precisely called the principal square...
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arcs of radius 5 has a height of twice the square root of 6, as illustrated here. Square root Square root of 2 Square root of 3 Square root of 5 Square root...
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representation of an approximation of 2 127 {\textstyle {\sqrt {2^{127}}}} . This results in the first approximation of the inverse square root of the input...
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square root (isqrt) of a non-negative integer n is the non-negative integer m which is the greatest integer less than or equal to the square root of n...
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A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there can...
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The square root of 7 is the positive real number that, when multiplied by itself, gives the prime number 7. It is more precisely called the principal square...
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Baudhayana sutras (section Square root of 2)
early mathematical results, including an approximation of the square root of 2 and the statement of the Pythagorean theorem. Baudhayana's Śrauta sūtras related...
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The root mean square deviation (RMSD) or root mean square error (RMSE) is either one of two closely related and frequently used measures of the differences...
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Mathematical constant (section Pythagoras' constant √2)
numeric value of e is approximately 2.7182818284 (sequence A001113 in the OEIS). The square root of 2, often known as root 2, radical 2, or Pythagoras'...
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Prover9 (section Square root of 2 is irrational)
-man(x) | mortal(x). man(socrates). -mortal(socrates). end_of_list. A proof that the square root of 2 is irrational can be expressed this way: formulas(assumptions)...
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length of a side of the square. This value, known as the square root of 2 or Pythagoras' constant, was the first number proven to be irrational. A square can...
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Square Root Day is an unofficial holiday celebrated on days when both the day of the month and the month are the square root of the last two digits of...
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mathematics, a functional square root (sometimes called a half iterate) is a square root of a function with respect to the operation of function composition...
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root of degree 2 is called a square root (usually written without the n as just x {\displaystyle {\sqrt {x}}} ) and a root of degree 3, a cube root (written...
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irrationals to quadruples of integers, so their cardinality is at most countable; since on the other hand every square root of a prime number is a distinct...
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Radical symbol (redirect from Square root symbol)
symbol, radical sign, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written...
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Proof by contradiction (category Methods of proof)
Retrieved 2 October 2022. Alfeld, Peter (16 August 1996). "Why is the square root of 2 irrational?". Understanding Mathematics, a study guide. Department of Mathematics...
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Number (redirect from History of numbers)
{\displaystyle \left({\tfrac {1}{2}}\right)} , real numbers such as the square root of 2 ( 2 ) {\displaystyle \left({\sqrt {2}}\right)} and π, and complex...
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construction or as a formula of a formal language. For example, the positive square root of 2, 2 {\displaystyle {\sqrt {2}}} , can be defined as the unique...
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sexagesimal approximation to the square root of 2, the length of the diagonal of a unit square. This number is given to the equivalent of six decimal digits, "the...
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D {\displaystyle D} th root of unity modulo 2 n ′ + 1 {\displaystyle 2^{n'}+1} . We now take the discrete Fourier transform of the arrays A , B {\displaystyle...
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distance by a factor of 1.4 (the square root of 2), and to double illumination, reduce the distance to 0.7 (square root of 1/2). When the illuminant...
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sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence...
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Silver ratio (redirect from 2.41421...)
an irrational mathematical constant, whose value of one plus the square root of 2 is approximately 2.4142135623. Its name is an allusion to the golden...
8 KB (1,190 words) - 18:00, 6 May 2024