A box contains 100 balls, numbered from 1 to 100. If two balls are selected at random and at the same time from the box, what is the probability that the ...

I was recently reading Paul's online notes on the Alternating Series Test. I noticed that he says "for this proof to work we really do need [the...

If a right-angled triangle is isosceles then the other two angles must be equal to $45^\circ$ ? Is this always the case or are there other possible right-...

Is this really possible? Is there any other example of this other than the Koch Snowflake? If so can you prove that example to be true?

I'm implementing a system that uses a least squares algorithm to fit an ellipse to a set of data points. I've successfully managed to obtain app...

What is the actual definition of Left Hand Derivative? I bumped into this site and the second white box on their site gives the definition. Is that wrong?...

I am really struggling with the concept of a "branch point". I understand that, for example, if we take the $\log$ function, by going around $2\pi$ we arr...

Which is correct? Are they both correct? Definition 1 A floating point number is said to be normalized if the leading digit of its mantissa is nonzero. fo...

I have been working through "Set theory for working mathematician" and near the end of chapter about real numbers there is a small bit of topology. Namely...

Having trouble converting this polar equation into Cartesian form: $r = 2 + \sin(\theta)$ This is how far I get: $(r = 2 + \sin(\theta))\cdot r$ $r^2 = 2r...