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A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
In the early 1950s, Mike Nichols wrote the following announcer test for radio station WFMT in Chicago. The WFMT announcer's lot is not a happy one. In addition to uttering the sibilant, mellifluous cadences of such cacophonous sounds as Hans Schmidt-Isserstedt, Carl Schuricht, Nicanor Zabaleta, Hans Knappertsbusch and the Hammerklavier Sonata, he must thread his vocal way through the ...
The Wonderlic Contemporary Cognitive Ability Test (formerly the Wonderlic Personnel Test) is an assessment used to measure the cognitive ability and problem-solving aptitude of prospective employees for a range of occupations. The test was created in 1939 by Eldon F. Wonderlic.
gcd(a, b) is closely related to the least common multiple lcm(a, b): we have gcd(a, b)⋅lcm(a, b) = | a⋅b |. This formula is often used to compute least common multiples: one first computes the GCD with Euclid's algorithm and then divides the product of the given numbers by their GCD. The following versions of distributivity hold true:
Equivalently, g(n) is the largest least common multiple (lcm) of any partition of n, or the maximum number of times a permutation of n elements can be recursively applied to itself before it returns to its starting sequence. For instance, 5 = 2 + 3 and lcm(2,3) = 6. No other partition of 5 yields a bigger lcm, so g(5) = 6.
Some authors use the term Alexander trick for the statement that every homeomorphism of can be extended to a homeomorphism of the entire ball .. However, this is much easier to prove than the result discussed above: it is called radial extension (or coning) and is also true piecewise-linearly, but not smoothly.
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
Famous Trick Donkeys is a puzzle invented by Sam Loyd in 1858, [1] first printed on a card supposed to promote P.T. Barnum's circus. At that time, the puzzle was first called "P.T. Barnum's trick mules". [2] Millions of cards were sold, with an estimated income for Sam Loyd of $10,000 from 1871 [3] —more than $200,000 in 2023 dollars. [4]