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  2. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Mean value: If x is a variable that takes its values in some sequence of numbers S, then ¯ may denote the mean of the elements of S. 5. Negation : Sometimes used to denote negation of the entire expression under the bar, particularly when dealing with Boolean algebra .

  3. Equality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Equality_(mathematics)

    The first use of an equals sign, equivalent to + = in modern notation. From The Whetstone of Witte (1557) by Robert Recorde. Recorde's introduction of =."And to avoid the tedious repetition of these words: "is equal to" I will set as I do often in work use, a pair of parallels, or twin lines of one [the same] length, thus: ==, because no 2 things can be more equal." [5]

  4. Numberphile - Wikipedia

    en.wikipedia.org/wiki/Numberphile

    Numberphile is an educational YouTube channel featuring videos that explore topics from a variety of fields of mathematics. [2] [3] In the early days of the channel, each video focused on a specific number, but the channel has since expanded its scope, [4] featuring videos on more advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis [5] and Kruskal's tree ...

  5. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    Galileo's law of odd numbers. A ramification of the difference of consecutive squares, Galileo's law of odd numbers states that the distance covered by an object falling without resistance in uniform gravity in successive equal time intervals is linearly proportional to the odd numbers. That is, if a body falling from rest covers a certain ...

  6. AM–GM inequality - Wikipedia

    en.wikipedia.org/wiki/AM–GM_inequality

    The arithmetic mean, or less precisely the average, of a list of n numbers x 1, x 2, . . . , x n is the sum of the numbers divided by n: + + +. The geometric mean is similar, except that it is only defined for a list of nonnegative real numbers, and uses multiplication and a root in place of addition and division:

  7. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    But clearly not all real numbers are solutions to the original equation. The problem is that multiplication by zero is not invertible : if we multiply by any nonzero value, we can reverse the step by dividing by the same value, but division by zero is not defined, so multiplication by zero cannot be reversed.

  8. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    If x is a nonnegative real number, and n is a positive integer, / or denotes the unique nonnegative real n th root of x, that is, the unique nonnegative real number y such that =. If x is a positive real number, and p q {\displaystyle {\frac {p}{q}}} is a rational number , with p and q > 0 integers, then x p / q {\textstyle x^{p/q}} is defined as

  9. Wikipedia:Two times does not mean two times more - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Two_times_does...

    The number of cookies in this section is double what we had in the first section. In the first section we had one cookie, and now we have more than that. Specifically, if we used to have one cookie and now we have two, we have one cookie more than before. The number of cookies has increased by one cookie, so the amount has increased by 100%.

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