• Thumbnail for Square root of 2
    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
  • Thumbnail for Square root
    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
  • Thumbnail for Square root of 3
    {\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...
    9 KB (1,070 words) - 21:58, 8 April 2024
  • 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...
    28 KB (4,600 words) - 02:22, 5 May 2024
  • 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...
    18 KB (2,642 words) - 18:54, 14 May 2024
  • 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...
    19 KB (2,844 words) - 21:26, 22 April 2024
  • Thumbnail for Square root of 6
    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...
    13 KB (1,382 words) - 12:58, 2 February 2024
  • Thumbnail for Fast inverse square root
    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...
    34 KB (4,544 words) - 07:49, 15 April 2024
  • 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...
    16 KB (2,410 words) - 03:37, 13 December 2023
  • 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...
    7 KB (1,254 words) - 21:11, 26 March 2024
  • Thumbnail for Square root of 7
    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...
    11 KB (1,359 words) - 04:57, 23 December 2023
  • early mathematical results, including an approximation of the square root of 2 and the statement of the Pythagorean theorem. Baudhayana's Śrauta sūtras related...
    12 KB (1,537 words) - 21:06, 12 May 2024
  • 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...
    11 KB (1,585 words) - 18:48, 3 May 2024
  • 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'...
    44 KB (3,546 words) - 10:39, 11 May 2024
  • -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)...
    5 KB (550 words) - 13:57, 17 March 2024
  • Thumbnail for Square
    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...
    18 KB (2,327 words) - 23:26, 12 May 2024
  • 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...
    3 KB (297 words) - 00:51, 28 February 2024
  • 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...
    6 KB (565 words) - 06:52, 16 May 2024
  • 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...
    33 KB (4,942 words) - 01:28, 17 May 2024
  • 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...
    11 KB (1,627 words) - 22:45, 17 March 2024
  • 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...
    10 KB (947 words) - 13:53, 20 February 2024
  • 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...
    19 KB (2,491 words) - 19:52, 2 April 2024
  • Thumbnail for Number
    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...
    62 KB (7,755 words) - 02:08, 25 January 2024
  • Thumbnail for Definable real number
    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...
    11 KB (1,502 words) - 02:55, 9 April 2024
  • Thumbnail for YBC 7289
    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...
    9 KB (1,010 words) - 21:49, 14 January 2024
  • Thumbnail for Schönhage–Strassen algorithm
    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...
    26 KB (4,601 words) - 20:24, 12 April 2024
  • Thumbnail for Inverse-square law
    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...
    27 KB (3,361 words) - 03:41, 8 May 2024
  • Thumbnail for Pell number
    sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence...
    28 KB (3,701 words) - 10:56, 6 January 2024
  • Thumbnail for Silver ratio
    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