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Beta (UK: / ˈbiːtə /, US: / ˈbeɪtə /; uppercase Β, lowercase β, or cursive ϐ; Ancient Greek: βῆτα, romanized: bē̂ta or Greek: βήτα, romanized: víta) is the second letter of the Greek alphabet. In the system of Greek numerals, it has a value of 2. In Ancient Greek, beta represented the voiced bilabial plosive IPA: [b].
t. e. Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
Beta function. Contour plot of the beta function. In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral. for complex number inputs such that . The beta function was studied by Leonhard ...
This writing system, unrelated to the Greek alphabet, last appeared in the thirteenth century BC. In the late ninth century BC or early eighth century BC, the Greek alphabet emerged. [2] The period between the use of the two writing systems, during which no Greek texts are attested, is known as the Greek Dark Ages.
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In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1) in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution.
In German orthography, the letter ß, called Eszett (IPA: [ɛsˈtsɛt], S-Z) or scharfes S (IPA: [ˌʃaʁfəs ˈʔɛs], "sharp S"), represents the / s / phoneme in Standard German when following long vowels and diphthongs. The letter-name Eszett combines the names of the letters of s (Es) and z (Zett) in German.
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