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awarded  Popular Question
Apr
8
awarded  Popular Question
Apr
7
comment Generic term for results of applying mathematical transformation to a value
Since this is for a very small audience, it might be best to ask them directly, on math.SE
Mar
2
comment What does strength refer to in mathematics?
When profs use this word, it sounds very informal and vague because it appeals to intuition about better and worse without specifying in what way (sometimes strong sounds good, sometimes not). Also, 'strength' is not about the content but about the reasoning. But it can be given a formal treatment in elementary logic as strength = fewer assumptions or more consequences, or "X is stronger than Y" = "X implies Y". Back to the vague idea, X does more than Y, often with less.
Feb
24
comment Are proofs by contradiction really logical?
@nocomprende also, philosophy is just talk. Real logic is done in mathematics. ducks and runs
Feb
24
comment Are proofs by contradiction really logical?
@nocomprende just like with geometries and axioms (Euclidean geometry has the parallel postulate, hyperbolic says more than one allowed through a point parallel to a line, etc), logic itself has axioms. And you can allow some axioms or not. Allowing excluded middle, you get classical logic. Without it (that is, not enforcing it absolutely always), gets more constructive logics (you can't prove as much but what you can prove is usually gets you an example).
Feb
24
comment Are proofs by contradiction really logical?
Twitter style answer (but too long): if you make a proof going from the hypothesis to a conclusion that is false, something must have been wrong along the way. If you did everything right along the way, the error must have been the assumption at the start
Jan
3
comment Reference to an atlas of curves and surfaces?
@bubba oh, yes, I get that. The point of asking for an atlas is to collect all the equations and their properties in one place so that one might more easily do as you suggest.
Jan
3
comment Reference to an atlas of curves and surfaces?
@bubba sure but from where? Where do you get the 3D printer designs?
Jan
2
asked Reference to an atlas of curves and surfaces?
Dec
28
comment Factorial and exponential dual identities
Nice! Can you relate this theorem to the ordinary and exponential generating function in my comments to the OP: $g(x)=\int_0^{\infty} e^{−u}G(xu) du$? Also, can you give any meaning/interpretation to the master theorem here?
Dec
20
reviewed Approve Characteristic function of a standard normal random variable
Dec
11
comment Determining the number of zeros in the upper half plane
If only there were an easy way to visualize complex functions. It's basically like having to see 4-dimensions, where 2 are the independent variable and another 2 dependent. Sadly hand graphing calculators won't do it. (computer algebra packages might help). I'm only suggesting this as visualization, not analytic solution for the exact answers.
Dec
4
accepted History of dot product and cosine
Dec
4
accepted Coordinates and distance in higher dimensional spherical and hyperbolic space
Dec
4
accepted Where does binary arithmetic/manipulation enter the mathematics/engineering curriculum?
Dec
4
reviewed Approve How do I simplify $\sqrt{3}(\cot 70^\circ + 4 \cos 70^\circ )$?
Dec
4
reviewed Approve Solve for x : If $( 1 + \tan x ) ( 1 - \tan x ) ( \sec^ 2 x ) + 2 ^ { \tan^ 2 x } = 0$
Dec
4
reviewed Reject Probability that tossing two dice results in two different even numbers
Nov
18
comment Combinatorics Identity about Catalan numbers.
Do you want an algebraic proof or a combinatorial one?