Integration: Cauchy-Schwarz Inequality

Related BrainMass Solutions

• Real symmetric matrices and the Cauchy-Schwarz inequality.

  43666 Real symmetric matrices and the Cauchy-Schwarz inequality.

• Triangle inequality

  201187 Linear Algebra/Matrix Theory Prove the triangle inequality starting with: |V+W|^2 You must use Re < W | V >(less than or equal to) |< V|W >| and the Schwarz inequality.

• Real analysis

  26501 Real Analysis Assume a_n and b_n are Cauchy sequences.Use a triangle inequality argument to prove c_n=Absolute value of a_n-b_n is Cauchy. See attachment. This shows how to use a triangle inequality argument in a proof with Cauchy sequences.

• Vectors in linear algebra

  NOTE: This is just the reverse of the Cauchy- Schwatrz inequality for the ordinary dot product. Proof. Let , then we have , , So, So, So, This is a proof of the reverse of the Cauchy-Schwartz dot product inequality.

• Vectors in 2-Space and 3-Space : Properties of the determinant function

  Use the Cauchy-Schwarz inequality to prove that for all real values of a, b, and theta, (a cos(theta) + b sin(theta))^2 =< a^2 + b^2 Please see the attached file for the complete solution. Thanks for using BrainMass.

• Hilbert Space and Subspace

  Now, we can do the following judgement: ( 5) Next, we can apply the Cauchy-Schwartz inequality: ( 6) ( 7

• Probability of Random Variables and Cauchy Distributions

  This solution shows how to calculate the probability of a random variable with a Cauchy distribution through integration in an attached Word document.

• Cauchy-Goursat Theorem

  Cauchy-Goursat Theorem is utilized.

• Real Analysis : Convergent and Cauchy Sequences - Five Problems

  In fact, from the triangle inequality for a vector space one finds that as n and m go to infinity or more generally as n and m go to infinity in a metric space.