I'm trying to mentally summarize the names of the operands for basic operations. I've got this so far: Addition: Augend + Addend = Sum. Subtraction: Minuend - Subtrahend = Difference. Multiplicati...
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 operations wrap around after reaching a certain value.
Similarly, an arithmetic sequence is one where its elements have a common difference. In the case of the harmonic sequence, the difference between its first and second elements is $\frac {1} {2}-1=-\frac {1} {2}$.
There are two differing conventions on how to handle carry-in/out for subtraction. Intel x86 and M68k use a carry-in as "borrow" (1 means subtract 1 more) and adapt their carry-out to mean the same, whereas PowerPC just adds the bitwise-inverted subtrahend plus the carry-in, which inverses the meaning, but is more consistent with the scheme for addition. What convention do you use?
The term arithmetic underflow (or "floating point underflow", or just "underflow") is a condition in a computer program where the result of a calculation is a number of smaller absolute value than the computer can actually store in memory.
Arithmetic could roughly be described as working with the numbers we know within a particular system of numbers, and is often related in some way to working with things called integers (whole numbers) and fractions.
Geometric and arithmetic are two names that are given to different sequences that follow a rather strict pattern for how one term follows from the one before. An arithmetic sequence is characterised by the fact that every term is equal to the term before plus some fixed constant, called the difference of the sequence. For instance, $$ 1,4,7,10,13,\ldots $$ is an arithmetic sequence with ...
I am reading about Arithmetic mean and Harmonic mean. From wikipedia I got this comparision about them: In certain situations, especially many situations involving rates and ratios, the harmonic...
$1,1,1,2,2$ Their average is $\frac {7} {5}$. But if you take it as $1,1,1$ and $2,2$, and average the averages, you get a different result. But, what you said works if the number of numbers is a power of $2$ and you split into two equal sized sets. Interestingly, this observation was used by Cauchy to give an inductive proof of the $\text {AM} \ge \text {GM}$ inequality!
