2For any positive integer M, the notation M!denotes the product of the integers 1 throughM. What is the largest integer n for which 5nis a factor of the sum98!+99!+100!?( )A.23B.24C.25D.26E.27 3For any positive integer M, the notation M denotes the product of the integers ...
For any positive integer M, the notation M!denotes the product of the integers 1 throughM. What is the largest integer n for which (5^n)is a factor of the sum98!+99!+100!?( ) A. 23 B. 24 C. 25 D. 26 E. 27 相关知识点: 试题来源: 解析 D 翻译:一个正整数M,规定 M...
The Manin–Peyre conjecture is established for smooth spherical Fano threefolds of semisimple rank one and type N. Together with the previously solved case T and the toric cases, this covers all types of smooth spherical Fano threefolds. The case N features a number of structural novelties; mo...
In this work, we focus on using reinforcement learning and game theory to solve for the optimal strategies for the dice game Pig, in a novel simultaneous playing setting. First, we derived analytically the optimal strategy for the 2-player simultaneous g
M denotes the product of the integers 1 through M. What is the largest integer n for which 5n is a factor of the sum 98! 99! 100! ?( ).A. 23 B. 24 C. 25 D. 26 E. 27 相关知识点: 试题来源: 解析 D 用阶乘记号M!表示从1到M的正整数的乘积.则98!+99!+100!中最大的5n因数...
M, the notation M! denotes the product of the integers 1 through M. What is the largest integer n for which 5n is a factor of the sum 98!+99!+100!? Answer: 相关知识点: 试题来源: 解析 26 98!+99!+100!=98!×(1+99+99×100)=98!×104. 98×5=19R3 19÷5=3R4 So, the ...
For any positive integer m, let us put Am:={1,2,…,m}. We want to consider the third order Turán inequality for pA6(n) and pA7(n). In order to make the text more transparent, we set gAm(n):=4(pAm2(n)−pAm(n−1)pAm(n+1))(pAm2(n+1)−pAm(n)pAm(n+2))−(pA...
The dot product takes place in the space S. This class of functions includes: Polynomials: For some positive integer p, G(x1,x2) = (1 + x1′x2)p. (3) Radial basis function (Gaussian): G(x1,x2) = exp(–∥x1–x2∥2). (4) Multilayer perceptron or sigmoid (neural network): ...
For positive integer n,the factorial notation n!represents the product of the integers from n to 1.(For example,6!=6•5•4•3•2•1.) What value of N satisfies the following equation?( )5!•9!=12•N!对于正整数n,阶乘符号n!表示从n到1的整数的乘积。(例如,6!=6×5×4×...
, the factorial notation n! represents the product of the integers from n to 1. What value of N satisfies the following equation?( ). 5!⋅9!=12⋅N! A.10 B.11 C.12 D.13 E.14相关知识点: 试题来源: 解析 A 5!⋅9!12=2⋅3⋅4⋅5⋅9!3⋅4=2⋅5⋅9!=10⋅9!