epsilon

Beating usain bolt's record is a discontinuous function of completion time because f(world_record + epsilon) = 0 while f(world_record - epsilon) = 1.

Still, my problem domain might require a different epsilon than they expect; even if they have a default, the API should allow me to specify my own choice of epsilon.

Looking back, and after taking other courses and studying proofs/logic/sets/functions more in depth, epsilon-delta makes perfect sense.

Kodric the opportunity to join Upsilon Pi Epsilon (UPE), the International Honour Society for the Computing and Information Disciplines.

In a black hole, then, maybe 360 degrees (minus epsilon) point downwards, and there's a peephole pointing back up.

You'd be a fool to turn away from it for a lifetime grind with epsilon better prospects.

In exchange for this ease of use, the site inserts an epsilon of advertising and censorship.

Is it actually named after the machine on Epsilon 3, or is it just a coincidence?

Any epsilon or delta that you choose implies a set of numbers satisfying those conditions.

Or another example: suppose you are solving a linear system of equations Ax=b with highly precise right-hand-side data b (< \epsilon floating-point error), but the condition number of the matrix is large.

Then perhaps it is only meaningful to expect the solution to be accurate to within k(A) \epsilon, the condition number of A.

They'd happily renew the insurance for the cost of a new product minus epsilon.

Intuitive essence of fractional derivatives: Interpret the n-th derivative as the coefficient of \epsilon^n in a "generalized" Taylor expansion of f(x+\epsilon).

It's a bit like masswerk's post above, except with a derivation of what to set "epsilon" to.

Epsilon delta arguments make more sense to me than "Ball".

Floating will give you within epsilon of the "right" answer, but as we have seen this may vary in weird ways across platforms.