prove that positive operators have unique positive square root

Expert Solution

Colby Messinger answered 2 years ago

prove that if you multiply 4 successive integers and take the square root of that +...

prove that if you multiply 4 successive integers and take the square root of that + a number, the only number for which root(product + x) is a perfect square is 1.

write a function to determine the square root of a number. The square root of a...

write a function to determine the square root of a number. The square root of a number can be approximated by repeated calculation using the formula NG = 0.5(LG + N/LG) where NG stands for the next guess and LG stands for the last guess. The loop should repeat until the difference between NG and LG is less than 0.00001. Use an initial guess of 1.0. Write a driver program to test your square root function. I WANT THIS PROGRAM...

A positive number is added to the reciprocal of its square root. Use Calculus methods to...

A positive number is added to the reciprocal of its square root. Use Calculus methods to answer the following questions:what if anything, is the smallest such sum? What, if any, positive x-values will yield the smallest sum? Give exact answers as well as answers accurate to Five decimal place. Be sure to give a mathematical justification that you answer represents a minimum and not a maximum.

Babylonian Algorithm. The Babylonian algorithm to compute the square root of a positive number n is as follows:

Chapter 3 Exercise 1Babylonian Algorithm. The Babylonian algorithm to compute the square root of a positive number n is as follows: 1. Make a guess at the answer (you can pick n/2 as your initial guess). 2. Computer = n / guess. 3. Set guess = (guess +r) / 2. 4. Go back to step 2 until the last two guess values are within 1% of each other.Write a program that inputs an integer for n, iterates through the Babylonian algorithm until the guess...

Graph the square root of the following function. State the domain and range of the square root of the function.

Graph the square root of the following function. State the domain and range of the square root of the function.y = -2x + 4

Show that the tensor product of two positive operators is positive.

Show that Hermitian operators have real eigenvalues. Show that eigenvectors of a Hermitian operator with unique...

Show that Hermitian operators have real eigenvalues. Show that eigenvectors of a Hermitian operator with unique eigenvalues are orthogonal. Use Dirac notation for this problem.

First prove A and B to be Hermitian Operators, and then prove (A+B)^2 to be hermitian...

First prove A and B to be Hermitian Operators, and then prove (A+B)^2 to be hermitian operators.

The _ is the square root of the arithmetic average of the squared deviations from the mean. In other words, it is simply the square root of the __.

The _____________ is the square root of the arithmetic average of the squared deviations from the mean. In other words, it is simply the square root of the ______________.data spread; population standard deviationStandard deviation; data spreadpopulation standard deviation; variancevariance; standard deviation

In this assignment, we will implement a square root approximater and then an nth root approximater....

In this assignment, we will implement a square root approximater and then an nth root approximater. Recall that the nth root of x is the number when raised to the power n gives x. We learned in class that we can use the concepts of binary search to approx imate the square root of a number, and we can continue this logic to approximate the nth square root. Please look at Lecture Notes 03, section 4 for a little more...

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