5
votes
0answers
102 views

Notation for n-ary exponentiation

We have $n$-ary sums ($\sum$) and products ($\prod$). Is there an $n$-ary exponentiation operator? $$\underset{i=1}{\overset{n}{\LARGE{\text{E}}}}\, x_i = x_1 \text{^} (x_2 \text{^} (\cdots \text{^} ...
4
votes
1answer
113 views

Operators - sums, products, exponents, etc.

$(x + x + \cdots + x)$, where $x$ added $n$ times can be written as $x * n$. $(x * x * \cdots * x)$, where $x$ multiplied $n$ times can be written as $x ^ n$. Is there an operator, such that if ...
2
votes
1answer
194 views

Why use radical notation instead of rational exponents?

I'm helping my younger sister for her math class. She has recently been taught integer exponents, and has starteed studying radicals (mainly square roots). The next topic will be rational exponents, ...
0
votes
2answers
66 views

Exponentation vs Power

What definition of $a^b$ operation is the most popular and standartized: Exponentation or Power? Is any difference between them?
2
votes
4answers
203 views

What is the meaning of $\exp(\,\cdot\,)$?

What is the meaning of the notation $\exp(\text{expression})$ ? I think that it's something of the form $a^\text{expression}$ but does it mean that the base $a=e$ or can it be any base?
0
votes
2answers
319 views

Notation of inverse trigonometric functions and exponentiation [duplicate]

Possible Duplicate: $\arcsin$ written as $\sin^{-1}(x)$ I have worked a bit on trigonometry today, and something strikes me as inconsistent. In the book, the notation for the inverse sine ...
3
votes
2answers
300 views

Solving tricky Knuth Up Arrow Notations

How would I solve something like $2\uparrow\uparrow n$? when n ≤1? Or $2\uparrow^{-2}2$? Thanks!
2
votes
1answer
102 views

Is there a standard or common way to concisely write scientific notation in different bases?

Is there a standard or common way to write scientific notation in different bases that doesn't require repeating the base in both the coefficient and the exponent base? For example, this notation is ...
12
votes
11answers
666 views

Alternative notation for exponents, logs and roots?

If we have $$ x^y = z $$ then we know that $$ \sqrt[y]{z} = x $$ and $$ \log_x{z} = y .$$ As a visually-oriented person I have often been dismayed that the symbols for these three operators ...