Purchase Solution

Proving that an equality is false.

Not what you're looking for?

Ask Custom Question

I have two sets of 64 numbers (1.1 to 7.4). Both number sets are created using the same equation for values of i from 0 to 63.

m = 1.1 + ( i * 0.1 )

n = 1.1 + ( i * 0.1 )

I am trying to understand if the following equality is false in all cases except when the terms in each expression are equal (e.g. m^-12 = n^-12 and so on).

m^-12 + m^-11 + m^-10 + m^-9 + m^-8 + m^-7 + m^-6 + m^-5 + m^-4 + m^-3 + m^-2 = n^-12 + n^-11 + n^-10 + n^-9 + n^-8 + n^-7 + n^-6 + n^-5 + n^-4 + n^-3 + n^-2

There are no restrictions regarding utilization of the numbers in the number sets: the same number may be used repeatedly in the expression (e.g. 0.1^-12 + 0.1^-12 and so on).

Alternatively, I need to identify when the equality will be true in cases where the terms are different (e.g. m^-12 not equal to n^-12 and so on).

Purchase this Solution
Solution Summary

An equality is proven to be false. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

I have two sets of 64 numbers (1.1 to 7.4). Both number sets are created using the same equation for values of i from 0 to 63.

m = 1.1 + ( i * 0.1 )

n = 1.1 + ( i * 0.1 )

I am trying to understand if the following equality ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • Proof showing the equality of integers

    Show that equality of integers is an equivalence relation, that is show that equality of integers is reflexive, symmetric, and transitive.

  • Cauchy-Goursat Theorem : Proving an Integral Equality

    The Cauchy-Goursat Theorem is used to prove an equality. Th sums of integrals on the legs of the rectangular path are defined. The solution is detailed and well presented.

  • Real Analysis : Convergent and Cauchy Sequences - Five Problems

    • For each of the follwing statements decide if it is true or false. Justify your answer by proving, or finding a couter-example. 1) every bounded sequence of real numbers is convergent.

  • Triangle inequality

    Show that the final inequality becomes an equality only if |V> = b|W> where b is a real positive scalar. attached This provides an example of proving the triangle inequality using the Schwarz inequality.

  • Proving an Equality : Lagrange Interpolating Polynomials

    58970 Proving an Equality : Lagrange Interpolating Polynomials Let x0, x1, ..., xn be distinct points and let (see the attached file for the equation) Show that (see the attached file for the equation) for m = 1,2,...

  • Three true/false questions about ANOVA and Hartley's test

    true or false Hartley's test measures the equality of the means for several groups. true or false ANOVA assumes equal variances within each treatment. true or false True. This is one of the assumptions for an ANOVA.

  • Recursive and Recurrence

    True of False a_n = 2 is a solution to the recurrence relation a_n = 2a_n-1 - a_n-2 with initial conditions a_0 = 2 and a_1 = 2. a. True b. False 3.

  • MCQs: ANOVA & Hypothesis Testing

    False 20) When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design. A. True B.

  • Proving an identity in mathematics

    5005 Proving an identity in mathematics Show that if z0 is an nth root of unity(z0 is not equal to 1) then 1+z0+z0^2+...+z0^(n-1)=0. Hence show that cos(2Pi/1998)+cos(4Pi/1998)+...

View More Related Solutions