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2. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   [6] [7] [a] The parentheses can be omitted if the input is a single numerical variable or constant, [2] as in the case of sin x = sin(x) and sin π = sin(π). [a] Traditionally this convention extends to monomials; thus, sin 3x = sin(3x) and even sin ⁠ 1 / 2 ⁠ xy = sin(xy/2), but sin x + y = sin(x) + y, because x + y is not a monomial ...

3. Exponentiation - Wikipedia

   en.wikipedia.org/wiki/Exponentiation

   In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.

4. Tetration - Wikipedia

   en.wikipedia.org/wiki/Tetration

   There is no standard notation for tetration, though Knuth's up arrow notation and the left-exponent are common. Under the definition as repeated exponentiation, n a {\displaystyle {^{n}a}} means a a ⋅ ⋅ a {\displaystyle {a^{a^{\cdot ^{\cdot ^{a}}}}}} , where n copies of a are iterated via exponentiation, right-to-left, i.e. the application ...

5. Knuth's up-arrow notation - Wikipedia

   en.wikipedia.org/wiki/Knuth's_up-arrow_notation

   In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [1]In his 1947 paper, [2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations.

6. FOIL method - Wikipedia

   en.wikipedia.org/wiki/FOIL_method

   (The rule stated above may also be remembered by the word FOIL, suggested by the first letters of the words first, outer, inner, last.) William Betz was active in the movement to reform mathematics in the United States at that time, had written many texts on elementary mathematics topics and had "devoted his life to the improvement of ...

7. Exponential function - Wikipedia

   en.wikipedia.org/wiki/Exponential_function

   The base of an exponential function is the base of the exponentiation that appears in it when written as ⁠ ⁠, namely ⁠ ⁠. [6] The base is ⁠ e k {\displaystyle e^{k}} ⁠ in the second characterization, exp ⁡ f ′ ( x ) f ( x ) {\textstyle \exp {\frac {f'(x)}{f(x)}}} in the third one, and ( f ( x + d ) f ( x ) ) 1 / d {\textstyle ...