Recent content by manjuvenamma

Interview with Mathematician Fresh_42. Nice. Enjoyed reading it.

@ ehild, Great explanation. Thanks to all the respondents who took time to clarify things to me. I would like to know how to write math equations here, is there a link? Is there a way I can accept the answer and close as the raiser of this question?

I am not able to figure out how 1+2/x came. Is it an approx?

A great idea but I am not able to think of a proof that it is 1. If this is proved, then I agree that the original question is proved. But how to prove that? It raises other similar interesting questions like what about (1-1/y^3)^y, (1-1/y^4)^(y^2) etc.

but 1+1/y is different from 1-1/y. That is where I am stuck.

I thought about it but got stuck up. Then it becomes (1-1/y)-y as y approaches infinity which is not a standard formula.

No, the answer is e. We have to find a reason without using LHospital's rule.

Is it possible to find the limit of (1+1/x)^x as x approaches minus infinity using only the fact that it is e if x approaches infinity?

This is regarding difference equations and their solutions. And to be specific, this is about linear constant coefficient difference equations. I read at one place, that the general solution of it can be expressed as sum of homogeneous equation and the particular solution. And at another place...

Is there a relationship between amplitude and phase response of a realizable filter? For the purpose of ease, let us consider only a FIR digital filter. I would like to design a FIR digital filter with a given frequency response (amplitude and phase responses given as a function of frequency)...

In MATLAB, Why is sparse(rand(4)) not same as sprand(4)? Is it not supposed to be? What is the reason? Please see the interaction in MATLAB pasted below. sprand(4) ans = (1,1) 0.8147 >> rand(4) ans = 0.9058 0.0975 0.9649 0.4854 0.1270 0.2785...

"other charts" or "columns' is of no help. But I read on the net, histogram is not available with Excel as it is, you have to install some add-in. Thanks for trying to help.

Is it possible to draw histograms in Microsoft Excel? I see all charts of icons in the Excel tool bar but no histogram.

Number Nine! Nothing wrong with brackets. Just curiosity. When I studied OOO when I was kid 40 years ago, I studied different types of brackets and their order of precedence. Now, no one uses all these types of brackets, just ordinary brackets with nesting as needed. Just curiosity to know...

Is there a better/different way of indicating the order of operations in a mathematical expression - other than using parentheses?