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1. Show that for any two normed linear spaces (X, I·I) and (Y, |·|), and L(X, Y ) the set of all bounded linear operators from X into Y , the operator norm T f→ IT I is in fact a norm on L(X, Y ).
2. Prove in detail that the operator T with T (en ) = en/n, where {en } is an orthonormal basis of a Hilbert space, is continuous but not open and not onto. Show that its range is dense.
q1. a company markets educational software products and is ready to place three new products on the market. past
A company has set a goal of developing a battery that lasts over 5 hours in continuous use in a sample of 42 of these batteries the mean life time was 306.25 hours with a standard deviation of 29.31
Based on your experience using ANOVA and Nonparametric tests, what additional information would you recommend to the key decision maker solve the challenges given in a company that provides software solutions to wide range of clients?
Now he wants to know if there is a difference between the three formats. Is there?
a card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a heartplease
a certain disease is found in one person in 5000. if a person does have the disease the test will show a positive
The distance is recorded for each hit, and the results are shown below, organized by brand. Carry out a complete analysis using ANOVA and a 5% significance level.
an average computer mouse inspector can inspect 45 mice per hour. the 42 computer mice inspectors at a particular
In a recent year, about two-thirds of U.S. households purchased ground coffee. Consider the annual ground coffee expenditures for households purchasing ground coffee
Give the Z- score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected
Construct the ANOVA table including the partition of the treatment sum of squares into main effects and interaction components b) Is there any evidence of interaction?
a random sample of 225 sat scores has a mean of 1500. assume that sat scores have a population standard deviation of
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