Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 orJ=22/7,but it is just an approximation for our ease. There is a method to calculate the value of r in pythonusing Leibniz's series:T/4 = 1-1/3+ 1/5 - 1/7 + 1/9-..This series is never-ending, the more the terms this series contains, the closer the value converges toJT value. Write an algorithm to compute T. Because the formula is an infinite series and an algorithmmust stop after a finite number of steps, you should stop when you have the result determined to sixsignificant digits.

(1) Initilize the variables piByFour=1 , t=0 , i=1 , j=3 , t=1 (2)Initilize the variables piByFour=1…

Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 or T=22/7, but it is just an approximation for our ease. There is a method to calculate the value of r in python using Leibniz's series: 1/4 = 1-1/3+ 1/5-1/7+ 1/9-...

Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 or T=22/7, but it is just an approximation for our ease. There is a method to calculate the value of r in python using Leibniz's series: 1/4 = 1-1/3+ 1/5-1/7+ 1/9-...

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Write a program using Python to solve the locker riddle which reads as follows: Imagine 100 lockers numbered 1 to 100 with 100 students lined up in front of those 100lockers:The first student opens every locker.The second student closes every 2nd locker.The 3rd student changes every 3rd locker; if it’s closed, she opens it; if it’s open, she closes it.The 4th student changes every fourth locker (e.g., 4th, 8th, etc.).The 5th student changes every 5th locker (e.g., 5th, 10th, etc.).That same pattern continues for all 100 students. Which lockers are left open after all 100 students have walked the rowof lockers?
Use following series to do the given task; 135 79 11 13 15 1719 21 23 25 27 29 31 ... Given the number N of odd numbers in a certain line, your task is to determine the sum of the last three numbers of that line. For example N = 5 means, the third line, the last three numbers are 13, 15 and 17. The summation of these three numbers is 45. InputThe first line tells the number of test cases. From the next line, the input is a sequence of lines, one odd number N (1 < N <1000000000) per line. OutputFor each input line write the sum of the last three odd numbers written in that line of series with N numbers.
In Python, Solve the locker riddle which reads as follows:Imagine 100 lockers numbered 1 to 100 with 100 students lined up in front of those 100lockers:The first student opens every locker.The second student closes every 2nd locker.The 3rd student changes every 3rd locker; if it’s closed, she opens it; if it’s open, she closes it.The 4th student changes every fourth locker (e.g., 4th, 8th, etc.).The 5th student changes every 5th locker (e.g., 5th, 10th, etc.).That same pattern continues for all 100 students. Which lockers are left open after all 100 students have walked the rowof lockers?
vvvHarry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output.Input: 4 2 2Output4Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according…
Write a python program: In the first century AD, Nicomachus suggested in his book entitled Introduction Arithmetica that “Cubical numbers can always be represented as the sum of successive odd numbers.” For example, 1^3= 1 = 1 2^3 = 8 = 3 + 5 3^3 = 27 = 7 + 9 + 11 4^3 = 64 = 13 + 15 + 17 + 19 Input N and output the successive odd integers whose sum is i^3 for all i in the set { 1,2,..,N } .
Our usual number system is base 10, because it strings together the digits 0 – 9 to form any whole number (there is a 1’s place, a 10’s place, a 10-squared’s place, etc). Hexadecimal numbers are written in base 16. This means they string together the digits 0 – 9 and the letters A – F to form any whole number (there is a 1’s place, a 16’s place, a 16-squared’s place, etc). For example, BD3C8 and 305A2 are two different 5-digit hexadecimal numbers. How many 9-digit hexadecimal numbers are there that have exactly 4 zeroes. (Note: Hexadecimal numbers, like our normal base 10 numbers, cannot start with a 0)
Write a program in java language to find the average of given range of number without using any loop... Range is from 50 to 90 (both are inclusive) .
Write a python program to print the table of a number that is “1 greater” than the inputnumber. For example if the input number is 4, the table of 5 would be printed. Similarly if the input is6, the table of 7 would be printed. Print the table up to 10. (like 2*1 = 2, 2*2 = 4, …. , 2*10 =20)
Write a Python program to generate data that uses the sum of a random variable (which has a Gaussian distribution) and a 4th-degree polynomial equation (3x4+x3+3x2+4x+5). Using least squares polynomial fit, curve the generated data using a model until your model can accurately predict all values
Consider a real estate company that owns homes on a very long street. Each home on that street is for sale and each home has a, potentially, different integer price in dollars from any other home on the street. What is the largest number of homes a potential buyer can buy, provided that the buyer cannot purchase (immediately) neighboring homes? Using standard pseudo-code notation (it can be similar to Python, for example), write a dynamic programming algorithm (bottom-up) that solves this problem for any n number of homes on such a street.
Let us design a Monte Carlo method to estimate the area of the shadow region under the green function y = ex when x is from 0 to r. As shown in the following figure, r is a variable (r> 0) for range. Please write a Python program named "A1Q1_MonteCarlo.py" to implement your designed Monte Carlo method. In the first line of your code, please write "n=10000" to define n as the experiment number of random sampling. Finally, please print out the estimated area for different range variables with the following format: When r=1, estimated shadow area is xxx When r=2, estimated shadow area is xxx When r=9, estimated shadow area is xxx When r=10, estimated shadow area is xxx [Hint]: You may need to use a loop for different range variables r and generate random sampling points automatically based on different range variables r.
Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows: If N is an even number, then divide N by two to get a new value for N. If N is an odd number, then multiply N by 3 and add 1 to get a new value for N. Continue to generate numbers in this way until N becomes equal to 1. For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1 Do the following: Write a code in C++ to ask the user to enter a positive integer (N) in the main() function. Write a function sequence() that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequence consists of. The returned value must be displayed from the main() function. Example input and output is given in the following image.