Asked in Authors, Poets, and Playwrights
Authors, Poets, and Playwrights
Who is K F Barker?
Asked in Temperature
What is the relation between Celsius Fahrenheit and Kelvin scales?
Asked in Math and Arithmetic
Why is the sum of the reciprocals of all of the divisors of a perfect number equal to 2?
Suppose N is a perfect number. Then N cannot be a square number and so N has an even number of factors.Suppose the factors are f(1) =1, f(2), f(3), ... , f(k-1), f(k)=N. Furthermore f(r) * f(k+1-r) = N for r = 1, 2, ... k so that f(r) = N/f(k+1-r) which implies that 1/f(r) = f(k+1-r)/N Then 1/f(1) + 1/(f(2) + ... + 1/f(k) = f(k)/N + f(k-1)/N + ... + f(1)/N = [f(k) + f(k-1) + ... + f(1)] / N = 2N/N since, by definition, [f(k) + f(k-1) + ... + f(1)] = 2N
Asked in Math History
What is a nonlinear function?
Asked in Public Health and Safety
If you fart on someone face will they get pink eye?