text>In this paper we establish an asymptotic formula for the sum of the first n prime numbers, more precise than the one given by Massias and Robin in 1996. Further we prove a series of results concerning Mandl's inequality on the sum of the first n prime numbers. We use these ...
ON THE EXCEPTIONAL SET FOR THE SUM OF A PRIME AND A PERFECT SQUARE A new theorem is obtained on the mean value of the number of representations of natural numbers as the sum of a prime and a perfect square, from which it is deduced that there are at most , 0$ SRC=http://ej.iop...
On the asymptotic formula for the number of representations of numbers as the sum of a prime and a $k$-th power 来自 Semantic Scholar 喜欢 0 阅读量: 41 作者: K Kawada 摘要: The author studies the generalization of a well-known conjecture of G. H. Hardy and J. E. Littlewood [...
Sum of squares of numbers indicates the addition of squared numbers with respect to arithmetic operations as well as statistics. Learn the formulas here along with solved examples
In mathematics, a sum is the result obtained by adding two or more numbers or items. Learn how to find the sum of different types of numbers along with examples, here at BYJU’S.
Proof: Let F−1(n)F−1(n) be the prefix sum of f−1(n)f−1(n) up to nn. The hyperbola formula allows us to compute F−1(n)F−1(n) in O(n−−√)O(n), granted that we already know all values of F(⌊n/k⌋)F(⌊n/k⌋) and F−1(⌊n/k⌋)...
The sum of odd numbers begins at 1 and continues indefinitely. We may use the sum of n odd numbers formula, which involves the concept of arithmetic progression, to compute the sum of odd numbers for any range, such as 1 to 100, 1 to 50, and so on. Sum of n odd numbers: We ...
where N0 is the number of electrons for each spin direction, n0=N0/V is the corresponding electron density for each spin direction, F(x) is the range function defined in Eq. (A.3), EF=ℏ2kF2/2m is the Fermi energy, and the relation kF3=3π2n=6π2n0 has been used. It is se...
Sum of squares formula is given and explained here with a solved example question. Click now to know all the formulas for the sum of squares in statistics, algebra and for "n" numbers.
We generalize the results of Hong and Hwang (1994) for the membership function of finite (infinite) sum of L - R fuzzy numbers, where the sum is based on some continuous Archimedean t-norm T . 关键词: Theoretical or Mathematical/ fuzzy set theory minimisation/ T-sum L-R fuzzy numbers ...