Functional Analysis

1) Let E be an infinite dimensional normed space, and let S =... Find the weak closure of S. Please see attached for full question.

Suppose that ε is a vector space, nЄN, and f1, f2,…,fn, and g are linear functionals on ε. Let N = ker(f1)∩ker(f2) ∩…∩ker(fn). Then g is a linear combination of f1, f2,…,fn if and only if g(N) = {0}.

Functional Analysis Linear Functionals Vector Space Suppose that ε is a vector space, nЄN, and ...continues

Exponential & Logarithmic Functions

Find the range of f(x) =3-e^x?

Exponential & Logarithmic Functions

If $2500 is invested in a long-term trust fund with an interest rate of 5% compounded continuously, what is the amount of money in the account after 25 years?

Exponential/Logarithmic Functions

Find the domain of the function: 3 + ln(x - 1)

Logarithmic Functions

Evaluate the expression log(4) 64. The 4 is suppose to be on the lower right side of log. My PC won't let me write this the way it shows in the book.

Logarithmic Function

Write as the logarithm of a single quantity: 4log(10) x-5log(10) (x-4). The "10's" represent the mathimatical form that is suppose to be on the lower write side of each log.

Integration, Fourier Series, Real Analysis

My problem is about a portion of a proof in Fourier Transform. Please see the attached. Thanks

Onto, one to one

Assume f:A->B and g:B->C. a) Show that if f and g are both onto, then g o f is onto b) Show that if g o f is one-to-one, then f is one-to-one c) Show that if g o f is onto and g is one-to-one, then f is onto

Functions and Graphs

Having trouble researching the number of deaths in the US each year due to each of the following medical conditions in each of these years: 1985, 1990, 1995, and 2002. heart disease, cancer and aids e.g. The websites keep bringing up different types of cancer, nothing is specific. Totally frustrated... e.g. 1980 throug ...continues