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The statement " is non-negative for arbitrarily large ." is a shorthand for: "For every real number , () is non-negative for some value of greater than .". In the common parlance, the term "arbitrarily long" is often used in the context of sequence of numbers.
The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...
Generally, words coming from French often retain a higher register than words of Old English origin, and they are considered by some to be more posh, elaborate, sophisticated, or pretentious. However, there are exceptions: weep , groom and stone (from Old English) occupy a slightly higher register than cry , brush and rock (from French).
The Oxford English Dictionary comments that googol and googolplex are "not in formal mathematical use". Usage of names of large numbers Some names of large numbers, such as million , billion , and trillion , have real referents in human experience, and are encountered in many contexts, particularly in finance and economics.
Words with specific British English meanings that have different meanings in American and/or additional meanings common to both languages (e.g. pants, cot) are to be found at List of words having different meanings in American and British English. When such words are herein used or referenced, they are marked with the flag [DM] (different meaning).
In other words, it’s time to go shoe shopping! Music to every woman’s ears. We selected the 16 best shoes for plantar fasciitis, focusing on a few key factors: support, comfort/cushioning ...
sufficiently large, suitably small, sufficiently close In the context of limits, these terms refer to some (unspecified, even unknown) point at which a phenomenon prevails as the limit is approached. A statement such as that predicate P holds for sufficiently large values, can be expressed in more formal notation by ∃x : ∀y ≥ x : P(y).
David Gardner: Incredible. Jamey Stegmaier: The blog posts aren't about me promoting Stonemaier Games. They're about me trying to share information or things that I'm processing with people.