Subtract-a-square (also referred to as take-a-square) is a two-player mathematical subtraction game. It is played by two people with a pile of coins (or...

in a certain sense, these sets cannot be very large. In the game of subtract a square, the positions where the next player loses form a square-difference-free...

Units (SI) with symbol m2. It is the area of a square with sides one metre in length. Adding and subtracting SI prefixes creates multiples and submultiples;...

Impartial games include Nim, Sprouts, Kayles, Quarto, Cram, Chomp, Subtract a square, Notakto, and poset games. Go and chess are not impartial, as each...

magic squares. Self-complementary magic square when it is a magic square which when complemented (i.e. each number subtracted from n2 + 1) will give a rotated...

for Pearson's chi-squared test by subtracting 0.5 from the absolute difference between each observed value and its expected value in a 2 × 2 contingency...

pandiagonal magic square a 11 a 12 a 13 a 14 a 15 a 21 a 22 a 23 a 24 a 25 a 31 a 32 a 33 a 34 a 35 a 41 a 42 a 43 a 44 a 45 a 51 a 52 a 53 a 54 a 55 {\displaystyle...

Hackenbush Notakto Octal games Raymond Redheffer Star (game theory) Subtract a square Tri-nim Turing Tumble Zero game Jorgensen, Anker Helms (2009), "Context...

guti") So Long Sucker Stratego Sua ghin gnua (aka tigers and oxen) Subtract a square Surakarta Sz'kwa Tafl games Tantrix Terhuchu Terrace Three musketeers...

timbre of the sound. Subtractive synthesis relies on source sounds that have overtones, such as non-sinusoidal waveforms like square and triangle waves...

difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored...

has not been resolved. Nim Sprague–Grundy theorem Wythoff's game Subtract a square E. Berlekamp, J. H. Conway, R. Guy. Winning Ways for your Mathematical...

Alternatively, the nth square number can be calculated from the previous two by doubling the (n − 1)th square, subtracting the (n − 2)th square number, and adding...

Square wave sound sample 5 seconds of square wave at 220 Hz Problems playing this file? See media help. A square wave is a non-sinusoidal periodic waveform...

number as a 32-bit integer, a logical shift right by one bit is performed and the result subtracted from the number 0x5F3759DF, which is a floating-point...

is the distribution of a sum of the squares of k {\displaystyle k} independent standard normal random variables. The chi-squared distribution χ k 2 {\displaystyle...

game Subtract a square Wythoff array Wythoff's game at Cut-the-knot, quoting Martin Gardner's book Penrose Tiles to Trapdoor Ciphers Wythoff, W. A. (1907)...

than 50 (n = 50 + a), add 100×a instead of subtracting it. This method requires the memorization of squares from 1 to 24. The square of n (most easily...

trick of pre-subtracting the square of the previous digits which makes a general multiplication step unnecessary. See Methods of computing square roots § Binary...

is 1 or 2 mod 4 is a sum of 3 squares, because any positive integer not divisible by 4 can be reduced to this form by subtracting 0 or 1 from it. However...

the two digits of the square you just brought down. Thus the next p will be the old p times 10 plus x. Subtract y from c to form a new remainder. If the...

999999 If you square the last three digits and subtract the square of the first three digits, you also get back a cyclic permutation of the number.[citation...

playing only with a single pile of tokens, optimal play is trivial (simply remove all the tokens in a single move). Subtract a square is a variation of nim...

Stein, Flight of the Vin Fiz, Arbor House, 1985, ISBN 0-87795-672-3. Subtract a square, a mathematical game invented by Epstein "Contributors". IEEE Transactions...

multiplication to squaring. Suppose all we know how to do is to add, subtract, take squares, and divide by two. We can use this knowledge, combined with the...

divisor will provide the answer one digit at a time. As you solve each digit of the answer you then subtract Product Pairs (UT pairs) and also NT pairs...

processing, a minimum mean square error (MMSE) estimator is an estimation method which minimizes the mean square error (MSE), which is a common measure...

be interpreted as a quadratic irrational number formed by subtracting one square root of a rational number from another. This concept of the apotome appears...

for the square enclosing an equilateral triangle of side 2 (see figure). The square root of 6, with the square root of 2 added or subtracted, appears...

digit of the fractional part of the square root is 9. The value of the ninth row is subtracted from the remainder and a few more zeros are appended to get...