Mathematics Homework Solutions

Basic Functional Analysis

So far we covered the basics of Hahn Banach Thm, the ideas of convexity, absorbing, the minkowski functional, norms, etc... I've attached the problem I need assistance with. Thanks! prob 4

Logarithm function

Deliverable Length: 2-4 paragraphs Details: Many different kinds of data can be modeled or measured easily using exponential and logarithmic functions. For example, consider ideal gases: Pressure versus volume give a curved plot, but a log graph of pressure versus volume provides a linear plot that is easier to interpret. Log ...continues

Functional analysis

I am trying to get a grasp on the concepts of a top vec space and locally convexity. I really could use as detailed an explanation as I can get. Just a note on notation: X*_w* is X* (set of all linear functionals) with a weak-* topology (the weakest topology in which all functionals are continuous) This posting is for #1 ...continues

Compact metric space and distance

Here is the question, I need help to find the key elements that will help me solve this problem, and I also need a major hint concerning the last part of the question : Edit : I increased the credit, so I expect a complete solution to the problem. Let (X,d) be a compact metric space, and let Con(X) denote the set of cont ...continues

Market Share Analysis

Please help solve these problems. It's for an MBA Marketing class. Thanks!

Lower semi-continuous and convex function

These are problems that ask as to which values of a variable a function is a) convex and b) lower semi-continuous. Please see the attached file for the full question.

Metric Spaces

Please see the attached file for the fully formatted problem. Let X = (—1, 1) be equipped with topology inherited from R. Give examples of two metrics on X that generate the same R-topology on X and such that X is a complete metric space in one of the metrics but an incomplete one in another. In other words, completeness is n ...continues

Linear functionals: Not Continuous

Please see the attached file for the fully formatted problems. It should be not continuous instead of not bounded. "Prove that there exists a linear functional f:C([0,1]) ---> R that is not continuous. Here C([1,0]) is equipped with standard sup norm topology."

What is Managerial Accounting?

Discuss the role of the financial accounting and managerial accounting functions in organizations and some of their job responsibilities. What are some of the differences between the two and the type of reports they may each use? Note: Please show all references.

Functions and Graphs : Sketching, Domain, Range and Asymptotes

Please see the attached file for the fully formatted problems. 1. The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w. 2. Draw a set of axes and then plot the graph of the function f(x) = 2x —4, for —3 ...continues

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