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  2. James while John had had had had had had had had had had had ...

    en.wikipedia.org/wiki/James_while_John_had_had...

    The sentence can be given as a grammatical puzzle or an item on a test, for which one must find the proper punctuation to give it meaning. Hans Reichenbach used a similar sentence ("John where Jack had...") in his 1947 book Elements of Symbolic Logic as an exercise for the reader, to illustrate the different levels of language, namely object language and metalanguage.

  3. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    G. H. Hardy, A Mathematician's Apology (1940) He [Russell] said once, after some contact with the Chinese language, that he was horrified to find that the language of Principia Mathematica was an Indo-European one. John Edensor Littlewood, Littlewood's Miscellany (1986) The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by ...

  4. Cambridge English: Young Learners - Wikipedia

    en.wikipedia.org/wiki/Cambridge_English:_Young...

    Cambridge English: Young Learners, also known as Young Learners English Tests ( YLE ), is a suite of English language tests specially designed for children in primary and lower-secondary school. The tests are provided by Cambridge English Language Assessment (previously known as University of Cambridge ESOL Examinations).

  5. Glossary of mathematical symbols - Wikipedia

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

    3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.

  6. Mnemonics in trigonometry - Wikipedia

    en.wikipedia.org/wiki/Mnemonics_in_trigonometry

    Other mnemonics include: All S tations T o C entral [6] All S illy T om C ats [6] A dd S ugar T o C offee [6] All S cience T eachers (are) C razy [7] A S mart T rig C lass [8] All S chools T orture C hildren [5] A wful S tinky T rig C ourse [5] Other easy-to-remember mnemonics are the ACTS and CAST laws.

  7. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures ...

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