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Almost integer information


Ed Pegg Jr. noted that the length d equals , which is very close to 7 (7.0000000857 ca.)[1]

In recreational mathematics, an almost integer (or near-integer) is any number that is not an integer but is very close to one. Almost integers may be considered interesting when they arise in some context in which they are unexpected.

  1. ^ Cite error: The named reference MathWorld was invoked but never defined (see the help page).

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Almost integer

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recreational mathematics, an almost integer (or near-integer) is any number that is not an integer but is very close to one. Almost integers may be considered interesting...

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Heegner number

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Heegner number (as termed by Conway and Guy) is a square-free positive integer d such that the imaginary quadratic field Q [ − d ] {\displaystyle \mathbb...

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List of types of numbers

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expressed as a ratio of an integer to a non-zero integer. All integers are rational, but there are rational numbers that are not integers, such as −2/9. Real...

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One half

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weekly puzzles". Mathpuzzle. Retrieved 2023-08-17. Weisstein, Eric W. "Almost integer". MathWorld -- A WolframAlpha Resource. Retrieved 2023-08-17. Euler...

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Divisor

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mathematics, a divisor of an integer n , {\displaystyle n,} also called a factor of n , {\displaystyle n,} is an integer m {\displaystyle m} that may...

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Integer factorization

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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, in which...

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Natural number

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natural numbers as the non-negative integers 0, 1, 2, 3, ..., while others define them as the positive integers 1, 2, 3, .... Some authors acknowledge...

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Mathematical coincidence

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Almost Identities (PDF), p. 1, arXiv:math/0409014 "Almost Integer". 10 November 2023. Archived from the original on 27 November 2023. "Almost Integer"...

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Modular arithmetic

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In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus...

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Boson

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(/ˈboʊzɒn/ /ˈboʊsɒn/) is a subatomic particle whose spin quantum number has an integer value (0, 1, 2, ...). Bosons form one of the two fundamental classes of...

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Almost all

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Similarly, "almost all" can mean "all (elements of an uncountable set) except for countably many". Examples: Almost all positive integers are greater...

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Fundamental theorem of arithmetic

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factorization theorem and prime factorization theorem, states that every integer greater than 1 can be represented uniquely as a product of prime numbers...

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Floor and ceiling functions

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function (or greatest integer function) is the function that takes as input a real number x, and gives as output the greatest integer less than or equal...

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Number

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divisible" is now almost always shortened to "divisible".) Any odd number n may be constructed by the formula n = 2k + 1, for a suitable integer k. Starting...

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Rational number

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uncountable, almost all real numbers are irrational. Rational numbers can be formally defined as equivalence classes of pairs of integers (p, q) with q...

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Almost periodic function

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commensurable (i.e., with a period vector that is not proportional to a vector of integers). A theorem of Kronecker from diophantine approximation can be used to...

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Rounding

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reported result. Rounding is almost unavoidable when reporting many computations – especially when dividing two numbers in integer or fixed-point arithmetic;...

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10

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which is a number that cannot be expressed as the difference between any integer and the total number of coprimes below it. Ten is the eighth Perrin number...

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Collatz conjecture

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numbers, multiply by 3 and add 1. With enough repetition, do all positive integers converge to 1? (more unsolved problems in mathematics) The Collatz conjecture...

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Behrend sequence

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In number theory, a Behrend sequence is an integer sequence whose multiples include almost all integers. The sequences are named after Felix Behrend. If...

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5

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congruent number, as well as the length of the hypotenuse of the smallest integer-sided right triangle, making part of the smallest Pythagorean triple (3...

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Composite number

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number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one...

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