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- Many mathematical formulas are infinitely long. In a process known as Taylor Expansion, for example, we see that ex = 1 + x + x2/2 + x3/3! + x4/4! + xn/n! where n!=n*(n-1)*(n-2)*...*3*2*1. This series which is equivalent to ex is infinitely long. There are a great many examples of infinitely long equations: Talyor Series, Fourier Transforms, and Lagrangian Transforms to name a few. Also, most mathematical equations are designed to be generalized and relatively simple. If you want an example of longer mathematical equations, you will probably find them in less generalized states, like in physics. Some long but finite equations are Schrodinger's Wave Equation, Integrals to obscure functions, or higher dimensional equations describing complex shapes.
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ViviAnswer One:
There are many long words such as hippopotomonstrosisquippedaliophobia or superfagilisticespialodosious but the real longest word is so long it won't even fit on two pages if you print it. The word has 1189 letters in it. It is a scientific word meaning germ or a disease from what I know.
Answer Two:
The longest word in a major English dictionary is "Pneumonoultramicroscopicsilicovolcanoconiosis" with 45 letters.
Pneumonoultramicroscopicsilicovolcanoconiosis is the longest English word that appears in a major dictionary.
The longest scientific term in English is the full chemical name of the world's largest known protein, titin. Beginning with Methionyl ... and ending with ...isoleucine, the word contains 189,819 letters.
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