Examples of using Every integer in English and their translations into Spanish
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Every integer is divisible by 1.
Same deal for sets:The expression[0-9]+ would match every integer number there is!
Every integer follows from a previous integer, give or take one.
There is a Lie algebra Ek for every integer k≥ 3, which is infinite dimensional if k is greater than 8.
Every integer greater than 20161 can be written as the sum of two abundant numbers.
The numbers 1 and -1 are the only integers coprime to every integer, and they are the only integers that are coprime with 0.
Every integer is either of the form(2×▢)+ 0 or(2×▢)+ 1; the former numbers are even and the latter are odd.
The set of all rational numbers includes the integers since every integer can be written as a fraction with denominator 1.
To prove that every integer that is a perfect cube is a multiple of 9, or is 1 more than a multiple of 9, or is 1 less than a multiple of 9.
Investigation of such numbers stemmed from the following prior conjecture by Paul Erdős:There exists a positive integer k such that every integer a is uniquely determined by the list of prime divisors of a, a+ 1,…, a+ k.
If the GCD were not 1, every integer that is not a multiple of the GCD would be inexpressible as a linear, let alone conical, combination of the set, and therefore there would not be a largest such number.
Dressler& Parker(1975) used a computer-aided proof(based on calculations involving the subset sum problem)to show that every integer greater than 96 may be represented as a sum of distinct super-prime numbers.
Denoting the base as-r, every integer a can be written uniquely as a∑ i 0 n d i(- r) i{\displaystyle a=\sum_{ i=0}^{ n} d_{ i}(- r)^{ i}} where each digit dk is an integer from 0 to r- 1 and the leading digit dn is> 0 unless n=0.
In number theory, the Carmichael function associates to every positive integer n a positive integer λ( n){\displaystyle\lambda(n)}, defined as the smallest positive integer m such that a m≡ 1( mod n){\displaystyle a^{m}\equiv 1{\pmod{n}}}for every integer a between 1 and n that is coprime to n.
Every positive integer occurs exactly once in the array, and every integer sequence defined by the Fibonacci recurrence can be derived by shifting a row of the array.
The first of three programs written for the machine found the highest proper divisor of 218(262,144),a calculation that was known would take a long time to run-and so prove the computer's reliability-by testing every integer from 218- 1 downwards, as division was implemented by repeated subtraction of the divisor.
This underscores the importance of trying multiple bases if the first one yields a N-1≡ 1(mod N):for prime N, every integer in 2,…, N -2† is coprime to N, and thus all these bases yield 1 for the powering result, whereas for composite N, trying a small number of bases nearly always suffices to reveal N as composite.
The subsets S1, S2,…, Sm must form a partition of S in the sense that they are disjoint and they cover S. Let B denote the(desired) sum of each subset Si, or equivalently,let the total sum of the numbers in S be m B. The 3-partition problem remains strongly NP-complete when every integer in S is strictly between B/4 and B/2.
For example, the plane can be tiled with different integral squares, but not for every integer, by recursively taking any perfect squared square and enlarging it so that the formerly smallest tile now has the size of the original squared square, then replacing this tile with a copy of the original squared square.
In 2002, Jeffrey Lagarias proved that the Riemann hypothesis is equivalent to the statement that σ( n)≤ H n+( log H n) e H n,{\displaystyle\sigma(n)\leq H_{n}+(\log H_{ n}) e^{ H_{ n}},}is true for every integer n≥ 1 with strict inequality if n> 1; here σ(n) denotes the sum of the divisors of n.
A single integer is actually sufficient to identify the sub-range, and it may not even be necessary to transmit the entire integer; if there is a sequence of digits such that every integer beginning with that prefix falls within the sub-range, then the prefix alone is all that's needed to identify the sub-range and thus transmit the message.
Description of the essence of holographic processes the MDX object and its vzaimootobraženiâ wave patterns is contained in a number of works, You can specify multiple lines of the monograph Garâeva, which also is significant for the article the concept of fractal,arising from the General:"… for all levels of matter of, that every integer has a highly ordered complex structural education, that assume a function and play a key role in their structural and functional manifestations.
Every positive integer is a sum of four integer squares.
Every decimal integer can be exactly represented by a binary integer; .
Every positive integer can be represented using six hexagonal numbers.
Every positive integer is a sum of four integer squares Electronics.
Thus, every nonnegative integer is the norm of some Lipschitz(or Hurwitz) quaternion.
By the fundamental theorem of arithmetic, every positive integer has a unique prime factorization.
Therefore, since it holds for k 1,it must hold for every positive integer k.
By a theorem of Lagrange every nonnegative integer can be written as a sum of at most four squares.
