Find an integer x ∈ {0, . . . , 196} which solves the equation x^ 157 ≡ 8 (mod 197)
Find an integer x ∈ {0, . . . , 196} which solves the equation x^...
can anyone help 2.3 For each of the following equations, find an integer x that satisfies the equation. 5x≡4(mod 3) 7x≡6(mod 5) 9x≡8(mod 7)
Please answer the following two questions.
Find the smallest positive integer solution to the equation. Show all of your work. x = 4 mod 7 Find the smallest positive integer solution to the equation. Show all of your work. x5 = 11 mod 35
6.8. Verify that u(x, y)= A sin(27Tx) sin(27ty) solves Poisson's equation V2u-Ron W (0, 1) x (0,1) for some A-value, where R(x, y) sin(2x) sin(2Ty) (a) Find the correct A value (b) Compute the total source S w RdA (c) Compute the flux out through the top part of W (y 1) and verify by symmetry that it is one-quarter that of the full source S.
6.8. Verify that u(x, y)= A sin(27Tx) sin(27ty) solves Poisson's equation V2u-Ron W (0,...
8-7. Find the smallest positive integer a such that 5:13 +13n" + a(9) = 0 (mod 65) for all integers n.
(1 point) Find the smallest positive integer solution to the following system of congruence: x = 5 (mod 19) = 2 (mod 5) = 7 (mod 11) x =
let m=(82! /21). find the smallest positive integer x such that m≡x(mod 83)
1.Let X be a random variable that takes on integer values 0 to 9 with equal probability 1/10 a.Let Y-X mod(3); determine ly b. Let Y-6 mod(X + 1); determine Hy. For any non-negative integers, a and b, b# 0 by definition: a mod(b)-r For instance 27mod(12) 3 becaus2-+ k + where k and r are non-negative integers and 0 S r < b; 12
2. Find 11644 mod 645 Use the following algorithm and show work! procedure modularExponentiation(b: integer, n = (ak-1ak-2...a1a0)2, m:positive integer) x:= 1 power := b mod m for i = 0 to k-1 If ai = 1 then x:= (x⋅power) mod m power := (power⋅power) mod m return x ( x equals bn mod m) Note: in this example m = 645, ai is the binary expansion of 644, b is 11.
Find number list that is n%6 = 0 given list is integer 0 to n. You can only use three function. addOne(), isOdd(), isEven(). For example, if n = 13 input list is 1 2 3 4 5 6 7 8 9 10 11 12. Output list is 6, 12. It is easy with mod operator, but I cannot use it. We can only use addOne(), isOdd(), isEven().
Given an integer x which is assumed to be in the list
a, write a method that returns the position of the first occurrence
of x in a. Positions are counted as 0,1,2,.... If x does not appear
in the list, you should throw an IllegalArgumentException.
static int find(int x, List<Integer> a) Given an integer x which is assumed to be in the list a, write a method that returns the position of the first occurrence of u in a....