Recent content by JakeD

Cool, thanks for sharing. Reading later. Edit: That was a very good read, thanks!

Mod note: Fixed the originator of the quote. This does not make the scenarios similar. In my scenario I start with integers and end up with floats, while in the other scenario it's the other way around. I'm not sure this statement follows from the former.

Thank you phinds for clarifying it.

Thank you Bruce! This is what I understood from the article referenced above as well. As said, the numbers in my use-case are guaranteed to require less then 50 bits, therefore it seems like I can expect consistency.

Thanks for the references, I'll read them (or at least try).

I actually read it, partially. It says: The following section does seem to imply that I can expect consistency in my scenario. Can you demonstrate why or where I'm wrong? Bear in mind that I divide only whole numbers which fit fully in the mantissa part.

Of course I don't think so. I don't think that you provided a convincing answer, either. You provided a very general description of floats, which doesn't address my scenario. I thank you for your participation, anyway.

phinds, 7/50 does give the same answer of 21/150. I'm asking specifically about division in the context of the constraints I've provided. I have a reason to believe it's consistent, but am not acquainted enough with the spec to be sure. I would appreciate an answer that references the spec.

Hi, First of all, if this is wrong forum, I apologize; please direct me to the correct one. I have 4 * 8-byte integers, representing 2 rational numbers (i.e. 2 pairs of a nominator & a denominator). The 2 rational numbers have the same mathematical value, but different nominator & denominator...

Thanks chogg for your details answer; I later noticed indeed that his answer is wrong. GAViewer also demonstrates this very nicely.

Thank you. Jake

What is the meaning of (e1^e2)\cdote3? (outer product multiplied by inner product)

OK, found the solution. By replacing x with x^2 in the Taylor series of e^x, I get the desired sum.

Homework Statement How do I find the sum of \sum\frac{x^{2k}}{k!}? The Attempt at a Solution I tried transforming various known Taylor series, such as sin x, e^x, and so on, but they didn't fit for 2 reasons: 1. In all of them, the degree of the factor equals the power of x. i.e. if you have...

IINW, temperature is a measure of the translational velocity of particles. Differences in temperature will cause energy flow, in the form we call 'heat'. I have a few questions: 1. Why don't we have a measure for rotational & vibrational energies? Why just translational? 2. Will heat...