The tetrahedron is a pyramid with a triangular base and three sides. Tetrahedral number is the number of objects within the tetrahedron.Create a function that takes a whole number n and then returns the nth tetrahedral number.Other TextExamplestetra (2) → 4tetra (5) → 35tetra (6) → 56

Algorithm - Create a method tetra with one argument. Now create a nested loop. Use the below…

Answered: The tetrahedron is a pyramid with a…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Programming Language :- C
Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 7^2 + 5^2. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares.To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 7^2 + 6^2 and 9^2 + 2^2 , of which this function must return (9, 2).The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere is directly applicable to this problem. In this problem, these indices crawl towards each…
Write a function which solves a projectile problem. As input, the function will take the initial height (y0) from which the projectile is launched, the initial velocity, and the angle in degrees which the initial velocity makes with the horizontal (positive if above the horizontal, negative if below the horizontal). The function should calculate the time T the projectile stays in air, generate a time array (0, T/100, 2T/100, 3T/100, …, T), and return the values of x and y (the components of the position vector of the projectile) at the times in the array. Plot the projectile trajectory using matplotlib. Use phyton language
Q2: In this question, you will write a Python function to compute the Hadamard product of two matrices. The Hadamard product is the "component-wise" product of two matrices. That is, each entry of the product matrix is equal to the product of its corresponding entries of the input matrices. Here is an example: a11 a12 a21 a22 a23 a31 a13 SH a32 033 A b11 b12 b13 b21 b22 b23 b31 b32 b33. B = [an bu a21 b21 a31 b31 a12 b12 a22 b22 a32 b32 a13 b13 a23 b23 a33 b33. Hadamard product of A and B Write a Python function to compute the Hadamard product of two matrices as follows. a) The inputs to the function are two matrices. b) The function should check whether the two matrices have the same size. If not, it should print "The input matrices are not of the same size". c) If two matrices are of the same size, the function computes the Hadamard product and returns the answer. Use for loops to compute the Hadamard product.
Common Time Zones Function Name: commonTimeZones() Parameters: code1( str ), code2( str) Returns: list of common time zones ( list ) Description: You and your friend live in different countries, but you figure there's a chance that both of you might be in the same time zone. Thus, you want to find out the list of possible time zones that you and your friend could both be in. Given two country codes, write a function that returns a list of the time zones the two countries have in common. Be sure not to include any duplicate time zones. If the two country codes do not have any common time zones, return the string 'No Common Time Zones' instead. Note: You can assume that the codes will always be valid. example test cases: >>> commonTimeZones('can', 'usa') [UTC-08:00', 'UTC-07:00', 'UTC-06:00', 'UTC-05:00', 'UTC-04:00] >>> commonTimeZones('rus', 'chn') [UTC+08:00] For this assignment, use the REST countries API (https://restcountries.com/#api-endpoints-v2). For all of your requests, make…
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python function!: a function called popular_color with one parameter, of type dict[str, str] of names and favorite colors. The return type is a str and it is the most commonly occuring color. If two colors are tied for popularity, the first color shown will be picked.
please code in python You place a pawn at the top left corner of an n-by-n chess board, labeled (0,0). For each move, you have a choice: move the pawn down a single space, or move the pawn down one space and right one space. That is, if the pawn is at position (i,j), you can move the pawn to (i+1,j) or (i+1, j+1). Ask the user for the size of a chessboard, n (integer). Find the number of different paths starting from (0,0) that the pawn could take to reach each position on the chess board. For example, there are two different paths the pawn can take to reach (2,1). Look at the diagrams below to convince yourself of this. You can see the four paths that you can take by move 2. Start -> Move 1 -> Move 2 (0,0) -> (1,0) -> (2,1) (0,0) -> (1,0) -> (2,0) (0,0) -> (1,1) -> (2,1) (0,0) -> (1,1) -> (2,2) Print the board with the number of ways to reach each square labeled as shown below. For example: Enter a board size: 4 1 0 0 0 1 1 0 0 1 2 1 0 1 3 3 1
Prompt: In Python language, write a function that applies the logistic sigmoid function to all elements of a NumPy array. Code: import numpy as np import math import matplotlib.pyplot as plt import pandas as pd def sigmoid(inputArray): modifiedArray = np.zeros(len(inputArray)) #YOUR CODE HERE: return(modifiedArray) def test(): inputs = np.arange(-100, 100, 0.5) outputs = sigmoid(inputs) plt.figure(1) plt.plot(inputs) plt.title('Input') plt.xlabel('Index') plt.ylabel('Value') plt.show() plt.figure(2) plt.plot(outputs,'Black') plt.title('Output') plt.xlabel('Index') plt.ylabel('Value') plt.show() test()
Dimensionary Investigation Code in C language

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The tetrahedron is a pyramid with a triangular base and three sides. Tetrahedral number is the number of objects within the tetrahedron. Create a function that takes a whole number n and then returns the nth tetrahedral number. Other Text Examples tetra (2)→ 4 tetra (5)→ 35 tetra (6) -56