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The product operator for the product of a sequence is denoted by the capital Greek letter pi Π (in analogy to the use of the capital Sigma Σ as summation symbol). [1] For example, the expression ∏ i = 1 6 i 2 {\displaystyle \textstyle \prod _{i=1}^{6}i^{2}} is another way of writing 1 ⋅ 4 ⋅ 9 ⋅ 16 ⋅ 25 ⋅ 36 {\displaystyle 1 ...
1. Means "greater than or equal to". That is, whatever A and B are, A ≥ B is equivalent to A > B or A = B. 2. Between two groups, may mean that the second one is a subgroup of the first one. 1. Means "much less than" and "much greater than".
In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a composite number, or it is not, in which case it is a prime number.
Every highly composite number is a product of primorials (e.g. 360 = 2 × 6 × 30). [9] Primorials are all square-free integers, and each one has more distinct prime factors than any number smaller than it. For each primorial n, the fraction φ(n) / n is smaller than for any lesser integer, where φ is the Euler totient function.
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a ...
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A000040: ... Name First elements Short description OEIS
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For example, 9!! = 1 × 3 × 5 × 7 × 9 = 945. Double factorials are used in trigonometric integrals , [ 92 ] in expressions for the gamma function at half-integers and the volumes of hyperspheres , [ 93 ] and in counting binary trees and perfect matchings .