In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value So the point of modular arithmetic is to do our normal arithmetic …

A or ~A as a new axiom, respectively. These two systems should in turn describe two essentially different models, and so there should also be non-standard models of arithmetic in second order …

I know how to solve mod using division i.e. $$11 \\mod 7 = 4$$ For this I did a simple division and took its remainder: i.e. $$11 = 7 \\cdot 1 + 4$$ Where $11$ was dividend, $7$ divisor, $1$ quotient...

How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression? Ask Question Asked 15 years, 2 months ago Modified 4 years, 8 months ago

Apr 29, 2012 · When dealing with several numbers and long equations, it's common to make careless arithmetic mistakes that give the wrong answer. I was wondering if anyone had tips to catch these …

In Summer Wars the main character (he is a mathematician) calculates the day of the week of someone's birthday (19/07/1992 is Sunday). I know (very) basic modular arithmetic but I can't figure …

The arithmetic mean of the unbalanced elements is $A$ at all times during the execution of the algorithm. This makes every step of the process convert at least one unbalanced element to $A$, so …

Feb 1, 2022 · It is a trivial arithmetic sequence, but it is still an arithmetic sequence. A teacher should probably thank the student the student for the contribution and ask that the question be answered for …

Explore related questions modular-arithmetic exponentiation See similar questions with these tags.

Mar 30, 2012 · It is easy to find 3 squares (of integers) in arithmetic progression. For example, $1^2,5^2,7^2$. I've been told Fermat proved that there are no progressions of length 4 in the …