What is the theta of the following summation: 1^3 + 2^3 + 3^3+ ... +i^3+ ... + N^3
formula for sum of cubes of first n natural numbers is = (n(n+1)/2)2.
= ((n2 + n)/2)2
= (?(n2))2
= (?(n4))
Answer: ?(n4)
What is the theta of the following summation: 1^3 + 2^3 + 3^3+ ... +i^3+ ......
(6) For n=3, Verify the following summation formula: Σ (1) 2' 3.
5. (a).Determine the following summation. Use summation formulas and properties of summation: (* +2i+1) - 3.X +5.** +1 -2.sinx. (6) Secure two antiderivatives of Clearly label!
By considering the summation: 2+22+23+…..+2n-1 A). What is the formula used for the summation? ________________________ B). Prove that your formula is correct for all integers n>=2 by mathematical induction.
I want to create a program that first calculate the summation from 1 to R. This code will computes the summation from 1 to R with single thread. #include <pthread.h> #include <unistd.h> #include <stdlib.h> #include <assert.h> #include <stdio.h> #define NuMBer_THREADS 2 #define R 1e4 long long sum = 0; // matrix multiplication is c = a * b; void calculatesum() { int i=1; for(i=1;i<=N;i++) { sum+=i; asleep(100); } } // Thread function // Each thread calculates the summation over (R...
9.1.38 Rewrite the following series using summation notation. Use 1 as the lower limit of summation. 13 + 2 + 3 + 113 13 + 2 + 33...+119 = (Type an expression using i as the variable.)
Summation Homework 1 Summation Homework From the following program fragment given below: 2-1 sumo for to n-1 do for je to do for k0 to j-1 do sum sum + 1 end-for end-for end-for write sum derive function sum(n) in a closed form such that: (a) Values of sum(n) for any given n are exactly the same as the values of variable sum in the program above. (b) All sums resulting from your analysis are derived based on what was...
Does theta(n^3+2n+1) = theta(n^3) hold? Justify your answer.
Please explain why x = x + 1 is Theta(nlgn) code: i = n; while (i > 1) { i = floor(i/2); x = x + 1; } why is is theta(nlgn)?
def plusThetaeigenket(theta): return np.array([np.cos(theta/2),np.sin(theta/2)]) print("|+theta> = ",plusThetaeigenket,"\n") def minusThetaeigenket(theta): return np.array([-np.sin(theta/2),np.cos(theta/2)]) print("|-theta> = ",minusThetaeigenket,"\n") Can you please help to solve where this python code went wrong for display the correct eigen ket value for theta? Thank you |<+y|-y>l^2 = 0.9999999999999996 ||<+y|-x>l^2 = 0.4999999999999998 -4 print("*Exercise 30.5\n"), -5 #function defination for plus and minus theta eigenkets -6 def plusThetaeigenket(theta): +7 return np.array([np.cos(theta/2), np.sin(theta/2)]), -8 print("[+theta> = ",plusThetaeigenket,"\n"), *Exercise 30.5 -9 +theta> = <function plus Thetaeigenket at Ox00000160BCO9CD08> o def minus Thetaeigenket(theta):...
3) (10 pts) Determine the following summation in terms of n. Please express your answer in the form, an? + bn + c, for constants a, b and c. 3n-1 (si + 7) i=n