Sentence examples for large odd from inspiring English sources

The latter, which states that every sufficiently large odd integer can be expressed as the sum of three primes, was proved in 1937 by the Russian mathematician Ivan Matveyevich Vinogradov.

The Russian mathematician Ivan Vinogradov proved in 1937 that every sufficiently large odd integer is a sum of three primes; the Chinese mathematician Jing Run Chen showed in 1967 that every sufficiently large even integer is a sum of a prime and an integer with at most two prime factors.

That is why we increment k with a large odd value, ensuring that many input bits change between consecutive calls.

Offset counter mode is the one-stage version of the above-discussed offset hybrid counter mode, that is, there is no state variable, except the counter k to be incremented by a large odd constant before each call.

The smallest case is of stage-2: These random number generators have two parameters (which can be treated as two internal state variables), one is recursively updated by a mixing function, while the other one (an offset counter) is incremented by a large, odd constant before each call.

The apparent pseudo-randomness of the counter mode and hybrid counter mode can be improved by incrementing the counter by a large odd constant c (instead of 1), because many more bits change at such addition than at incrementing by 1, most of the time.

In this section, we first give some numerical examples according to our method to illustrate its accuracy, then we compare our method to two selected ones to show that our method is especially powerful to calculate the (zeta )-values at large odd-integer arguments.

The behavior of the error bound (epsilon (n)) is governed by (lg (epsilon (n))=-0.9542n-1.6884) or (epsilon (n)=O(10^{-n})) approximately, which, of course, suggests that our method is especially suit for the calculation of (zeta )-values at large odd-integer arguments.

The leaves are large, odd- or even-pinnately compound, and arranged alternately on the stem.

3…63 45…77 178…188 670…672 81…102 333…338 1006…1007 Then Maya @14 and Ricardo Ech @18 clarified that the number of trapezoidal representations is the number of divisors (other than 1) of the largest odd divisor of n, or equivalently, the number of odd divisors greater than 1 of n itself.

Thus, it can be seen that the modulated signal has been contaminated around the carrier frequency by the third and larger odd power items.