Of these, I'm personally rather fond of "round $\frac 1 2$ to nearest even number", also known as "bankers' rounding". It's also the default rounding rule for IEEE 754 floating-point arithmetic as used by most modern computers. According to that rule,

2017年8月1日 · The same principle applies to more than two segments: given a series of sub-trips at different speeds, if each sub-trip covers the same distance, then the average speed is the harmonic mean of all the sub-trip speeds; and if each sub-trip takes the same amount of time, then the average speed is the arithmetic mean of all the sub-trip speeds.

2015年11月9日 · Update: I had an idea to minimize the number of needed arithmetic rules via generalizing the concept of asymptotic notations. I describe this idea in the MO thread Generalization of asymptotic notations like big O or little o notation .

How can I solve quadratic equations using modular arithmetic? E.g. $$2x^2 + 8x + 2 = 0 \pmod{23}$$ N.b. I have changed the figures from those in my homework question because I don't want a solution I want to understand the process. Consequently the example I gave might not have solutions. For the example I am working from divide the LHS by 2.

Modular arithmetic (clock arithmetic) is a system of integer arithmetic based on the congruence relation ...

2018年2月16日 · I was looking around on the internet until I stumbled upon this equation. $$111111111\\times111111111 = 12345678987654321$$ How does this actually work? It is quite amazing how the number ascend and

$\cong$ is used to show a congruency between two mathematical expressions, which could be geometrical, topological, and when using modulo arithmetic you can get different numbers that are congruent, e.g., $5 \text{ mod } 3 \cong 11 \text{ mod } 3$ (although this is also written as $\equiv$). In LaTeX it is coded as \cong.

2012年5月30日 · arithmetic; Share. Cite. Follow edited May 30, 2012 at 4:46. Martin Sleziak. 55.6k 20 20 gold badges 204 ...

2013年5月20日 · Many years ago, I noticed that $987654321/123456789 = 8.0000000729\\ldots$. I sent it in to Martin Gardner at Scientific American and he published it in his column!!! My life has gone downhill si...

arithmetic; infinity; Share. Cite. Follow edited Mar 7, 2014 at 9:48. Willie Wong. 74.7k 13 13 gold badges ...