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  2. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

  3. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1.

  4. 35 (number) - Wikipedia

    en.wikipedia.org/wiki/35_(number)

    35 is a tetrahedral number. The 35 free hexominoes. 35 is the sum of the first five triangular numbers, making it a tetrahedral number. [1]35 is the 10th discrete semiprime [2] and the first with 5 as the lowest non-unitary factor, thus being the first of the form (5.q) where q is a higher prime.

  5. 1/4 + 1/16 + 1/64 + 1/256 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/4_%2B_1/16_%2B_1/64_%2B...

    Today, a more standard phrasing of Archimedes' proposition is that the partial sums of the series 1 + ⁠ 1 / 4 ⁠ + ⁠ 1 / 16 ⁠ + ⋯ are: + + + + = +. This form can be proved by multiplying both sides by 1 − ⁠ 1 / 4 ⁠ and observing that all but the first and the last of the terms on the left-hand side of the equation cancel in pairs.

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  7. 33 (number) - Wikipedia

    en.wikipedia.org/wiki/33_(number)

    33 is the 21st composite number, and 8th distinct semiprime (third of the form where is a higher prime). [1] It is one of two numbers to have an aliquot sum of 15 = 3 × 5 — the other being the square of 4 — and part of the aliquot sequence of 9 = 3 2 in the aliquot tree (33, 15, 9, 4, 3, 2, 1).

  8. List of electronic laboratory notebook software packages

    en.wikipedia.org/wiki/List_of_electronic...

    For example: electronic lab notebooks are easier to search upon, simplify data copying and backups, and support collaboration amongst many users. [1] ELNs can have fine-grained access controls, and can be more secure than their paper counterparts. [ 2 ]

  9. Debate on traditional and simplified Chinese characters

    en.wikipedia.org/wiki/Debate_on_traditional_and...

    The debate on traditional Chinese characters and simplified Chinese characters is an ongoing dispute concerning Chinese orthography among users of Chinese characters. It has stirred up heated responses from supporters of both sides in mainland China, Hong Kong, Macau, Taiwan, and among overseas Chinese communities with its implications of political ideology and cultural identity. [1]