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The cube of a number n is denoted n 3, using a superscript 3, [a] for example 2 3 = 8. The cube operation can also be defined for any other mathematical expression, for example (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that ...
For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).
It has the symbols I, V, X, L, C, D, M as its basic numerals to represent the numbers 1, 5, 10, 50, 100, 500, and 1000. [33] A numeral system is positional if the position of a basic numeral in a compound expression determines its value. Positional numeral systems have a radix that acts as a multiplicand of the different positions. For each ...
Example. 492 (The original number) 4 + 9 + 2 = 15 (Add each individual digit together) 15 is divisible by 3 at which point we can stop. Alternatively we can continue using the same method if the number is still too large: 1 + 5 = 6 (Add each individual digit together) 6 ÷ 3 = 2 (Check to see if the number received is divisible by 3)
Clark's rule is a medical term referring to a mathematical formula used to calculate the proper dosage of medicine for children aged 2–17 based on the weight of the patient and the appropriate adult dose. [1] The formula was named after Cecil Belfield Clarke (1894–1970), a Barbadian physician who practiced throughout the UK, the West Indies ...
For example, if p = 19, a = 133, b = 143, then ab = 133 × 143 = 19019, and since this is divisible by 19, the lemma implies that one or both of 133 or 143 must be as well. In fact, 133 = 19 × 7 . The lemma first appeared in Euclid 's Elements , and is a fundamental result in elementary number theory.
For example, if y is considered a parameter in the above expression, then the coefficient of x would be −3y, and the constant coefficient (with respect to x) would be 1.5 + y. When one writes a x 2 + b x + c , {\displaystyle ax^{2}+bx+c,} it is generally assumed that x is the only variable, and that a , b and c are parameters; thus the ...
In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30.