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E, letter of the alphabetE, fifth letter of the alphabet alphabet [Gr. alpha-beta, like Eng. ABC], system of writing , theoretically having a one-for-one relation between character (or letter) and phoneme (see phonetics ). Few alphabets have achieved the ideal exactness...... Click the link for more information. . It is a usual symbol for a mid-front vowel, such as ĕ in the English step. A mid-front vowel was represented by Greek epsilon [Gr.,=e without the aspirate], to which E corresponds in form and place (see also H H, 8th letter of the alphabet . It is a usual symbol for a glottal spirant, murmured (as in the English house) or voiceless (as in the English herb). In some Greek alphabets eta, the long e, had this form. ..... Click the link for more information. ). English ē is pronounced as a diphthong of ĭ and y. In musical notation musical notation, symbols used to make a written record of musical sounds. Two different systems of letters were used to write down the instrumental and the vocal music of ancient Greece. In his five textbooks on music theory Boethius (c.A.D. 470–A.D. ..... Click the link for more information. E represents a note in the scale. e, in mathematicse, in mathematics, irrational number number, entity describing the magnitude or position of a mathematical object or extensions of these concepts.The Natural NumbersCardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of ..... Click the link for more information. occurring widely in mathematics and science, approximately equal to the value 2.71828; it is the base of natural, or Naperian, logarithms logarithm (lŏg`ərĭthəm) [Gr. ..... Click the link for more information. . The number e is defined as the limit of the expression (1+1/n)n as n becomes infinitely large, or In 1873 the French mathematician C. Hermite proved that e was transcendental, i.e., not a root root, in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function . If f is a polynomial , r is called a root of f; for example, r=3 and r ..... Click the link for more information. of any algebraic equation; this proof constituted a great contribution to the growth of mathematics. The number e is also known as Euler's number, for Leonhard Euler, who discovered the famous formula eiπ=−1, where i=−1, thus expressing the relationship between the numbers e, i, and π. The exponential function ex, often written exp(x), occurs in various applications ranging from statistics to nuclear physics. BibliographySee study by E. Maor (1994).
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