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  1. arithmetic - What are the formal names of operands and results for ...

    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...

  2. arithmetic - Factorial, but with addition - Mathematics Stack Exchange

    Apr 21, 2015 · Explore related questions arithmetic factorial See similar questions with these tags.

  3. Arithmetic pattern $1 + 2 = 3$, $4 + 5 + 6 = 7 + 8$, and so on

    Jan 7, 2015 · The other interesting thing here is that 1,2,3, etc. appear in order in the list. And you have 2,3,4, etc. terms on the left, 1,2,3, etc. terms on the right. This should let you determine a formula like …

  4. Mathematics Stack Exchange

    Q&A for people studying math at any level and professionals in related fields

  5. How can we sum up $\sin$ and $\cos$ series when the angles are in ...

    How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression? Ask Question Asked 15 years ago Modified 4 years, 6 months ago

  6. arithmetic - How to divide using addition or subtraction - Mathematics ...

    Aug 25, 2012 · We can multiply $a$ and $n$ by adding $a$ a total of $n$ times. $$ n \\times a = a + a + a + \\cdots +a$$ Can we define division similarly using only addition or ...

  7. Presburger arithmetic is consistent, but relative to what?

    Aug 24, 2022 · In the Wikipedia article for (the first-order theory of) Presburger arithmetic, it is stated (among other properties) that Presburger arithmetic is consistent. What meta-theory does he rely on …

  8. Arithmetic mean. Why does it work? - Mathematics Stack Exchange

    Sep 7, 2014 · The arithmetic mean is a number that when multiplied by the number of elements, gives you the sum of all the elements. Because of this fact, it can't be more than the maximum nor less …

  9. Proof that Skolem Arithmetic is a complete theory

    Nov 25, 2023 · Skolem Arithmetic is the multiplication-flavored cousin of Presburger Arithmetic. Presburger Arithmetic is a complete theory and listed as an example of a complete theory on the …

  10. sequences and series - Geometric mean never exceeds arithmetic …

    This was a mathematical induction question proposed in a textbook, and I've exhausted multiple approaches (proving RHS - LHS > 0, splitting the fraction, fractional exponents, etc.) The geometric...