"Phi Alpha. Beta Phi Alpha then began the process of nationalization and expansion. In 1923, it was granted membership in the National Panhellenic Conference. Thirty five chapters were installed by 1936, but not all of them were active. Many of them suffered from the Great Depression. In 1941, Beta Phi Alpha was absorbed by Delta Zeta sorority (Miner, pp. 144– 145). Beta Phi Alpha's ""Convention Lights"" is still sung at the close of Delta Zeta national conventions. The gavel which opens Delta Zeta's convention is an artifact of Beta Phi Alpha. It was given to Beta Phi Alpha's Elsa Ludeke."
"formula_6 is the product of the ‘down-market beta’ and the down-market excess return. formula_3, formula_8, formula_4, and formula_10 are the estimated parameters for up-market and down-market days, respectively; formula_11 on days the market index did not decline and formula_12 on days it did; formula_13 is a dummy variable, which takes the value of 1 when the market index daily return is non-negative and zero otherwise.” “The final term, formula_14, reflects the idiosyncratic information not proportional to either the up-market or down-market excess returns.” Dual-beta can be a useful and an effective extension to traditional beta, which “underestimates equity risk about"
"the five classes or castes named after letters of the Greek alphabet: alpha, beta, gamma, delta, and epsilon, respectively. Society is controlled by Alphas and their subordinates, Betas. Below them, in descending order of intellectual and physical capacity, are Gammas, Deltas, and Epsilons. Each caste is further subdivided into Plus and Minus (with Epsilons having the additional classifications of regular or semi-moron), and are distinguished by colour-coded work clothes. Epsilons are dressed in black, Deltas in khaki, Gammas in leaf green, Betas in mulberry, and Alphas in grey. At the very pinnacle of society sit Alpha Double-Plus, who serve as"
"as ""alpha"" or ""beta"" depending on the relative stereochemistry of the anomeric (or most oxidized) carbon. In a Fischer Projection, if the glycosidic linkage is on the same side or face as carbon 6 of a common biological saccharide, the carbohydrate is designated as ""beta"" and if the linkage is on the opposite side it is designated as ""alpha"". In a traditional ""chair structure"" projection, if the linkage is on the same plane (equatorial or axial) as carbon 6 it is designated as ""beta"" and on the opposite plain it is designated as ""alpha"". This is exemplified in sucrose (table"
"Aristotle) or, although this is less likely, because of its shortness. This, then, disrupts the correspondence of letters to numbers, as book 2 is little alpha, book 3 is beta, and so on. For many scholars, it is customary to refer to the books by their letter names. Thus book 1 is called Alpha (Α); 2, little alpha (α); 3, Beta (Β); 4, Gamma (Γ); 5, Delta (Δ); 6, Epsilon (Ε); 7, Zeta (Ζ); 8, Eta (Η); 9, Theta (Θ); 10, Iota (Ι); 11, Kappa (Κ); 12, Lambda (Λ); 13, Mu (Μ); 14, Nu (Ν). It is possible that Aristotle"
"named Alpha and Beta. Alpha is designed for travel from Earth orbit to the Moon and back. It is not capable of independent atmospheric flight. Beta is a nuclear-powered flying wing which carries Alpha into orbit. Beta uses a nuclear reactor to superheat either air (when flying in the lower, denser, part of the atmosphere) or its own internal supply of methane (in the higher reaches of the atmosphere and in space) to achieve thrust. Beta functions as a ramjet in the lower atmosphere and must be launched using an electric launch track. The return journey to the Moon proceeds"
"Beta Beta (, ; uppercase , lowercase , or cursive ; or ) 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 . In Modern Greek, it represents the voiced labiodental fricative . Letters that arose from beta include the Roman letter and the Cyrillic letters and . Like the names of most other Greek letters, the name of the beta was adopted from the acrophonic name of the corresponding letter in Phoenician, which was the common Semitic word ""*bait"""
"6, then there is a Graeco-Latin square with order ""n"". There is not a prime ""p"" such that the multiplicative order of 2 modulo ""p"" is 6, that is, ""ord""(2) = 6. By Zsigmondy's theorem, if ""n"" is a natural number that is not 1 or 6, then there is a prime ""p"" such that ""ord""(2) = ""n"". See for such ""p"". The ring of integer of the sixth cyclotomic field , which is called Eisenstein integer, has 6 units: ±1, ±ω, ±ω, where formula_2. The smallest non-abelian group is the symmetric group ""S"" which has 3! = 6 elements."
"some nuclei, such as germanium-76, the isobar one atomic number higher (arsenic-76) has a smaller binding energy, preventing single beta decay. However, the isobar with atomic number two higher, selenium-76, has a larger binding energy, so double beta decay is allowed. The emission spectrum of the two electrons can be computed in a similar way to beta emission spectrum using Fermi's Golden Rule. The differential rate is given by where the subscripts refer to each electron, is kinetic energy, is total energy, is the Fermi Function with ""Z"" the charge of the final-state nucleus, is momentum, is velocity in units"
"Alpha Alpha (uppercase , lowercase ; , ""álpha"", ""álfa"") is the first letter of the Greek alphabet. In the system of Greek numerals, it has a value of 1. It was derived from the Phoenician and Hebrew letter aleph - an ox or leader. Letters that arose from alpha include the Latin A and the Cyrillic letter А. In English, the noun ""alpha"" is used as a synonym for ""beginning"", or ""first"" (in a series), reflecting its Greek roots. In Ancient Greek, alpha was pronounced and could be either phonemically long ([aː]) or short ([a]). Where there is ambiguity, long"
"6 6 (six) is the natural number following 5 and preceding 7. The SI prefix for 1000 is exa- (E), and for its reciprocal atto- (a). 6 is the smallest positive integer which is neither a square number nor a prime number. Six is the second smallest composite number; its proper divisors are , and . Since six equals the sum of its proper divisors, six is the smallest perfect number, Granville number, and formula_1-perfect number. As a perfect number: Six is the only number that is both the sum and the product of three consecutive positive numbers. Unrelated to"
"does not go up or down a lot, so it has a low beta. An example of the second is gold. The price of gold does go up and down a lot, but not in the same direction or at the same time as the market. A beta greater than 1 generally means that the asset both is volatile and tends to move up and down with the market. An example is a stock in a big technology company. Negative betas are possible for investments that tend to go down when the market goes up, and vice versa. There are"
"of each of the elements of a triad must be an integer. Therefore, the members of each triad are either all integers or contain one integer and two half-integers. When ""j"" = 0 the expression for the 6-""j"" symbol is: The ""triangular delta"" is equal to 1 when the triad (""j"", ""j"", ""j"") satisfies the triangle conditions, and zero otherwise. The symmetry relations can be used to find the expression when another ""j"" is equal to zero. The 6-""j"" symbols satisfy this orthogonality relation: A remarkable formula for the asymptotic behavior of the 6-""j"" symbol was first conjectured by Ponzano"
"Alpha and beta carbon The alpha carbon (Cα) in organic molecules refers to the first carbon atom that attaches to a functional group, such as a carbonyl. The second carbon atom is called the beta carbon (Cβ), and the system continues naming in alphabetical order with Greek letters. The nomenclature can also be applied to the hydrogen atoms attached to the carbon atoms. A hydrogen atom attached to an alpha carbon atom is called an alpha-hydrogen atom, a hydrogen atom on the beta-carbon atom is a beta hydrogen atom, and so on. This naming standard may not be in compliance"
"portfolio risk. Beta in this context is calculated as the covariance of the portfolio's returns with its benchmark's returns, divided by the variance of the benchmark's returns. A beta of 1.5 means that for every 1% change in the value of the benchmark, the portfolio's value changes by 1.5%. In the International Phonetic Alphabet, Greek minuscule beta denotes a voiced bilabial fricative . A superscript version may also indicate a compressed vowel, like . The name Beta was used as a name during the 2005 Atlantic hurricane season as Hurricane Beta. Beta is often used to denote a variable in"
"6 ) ÷ 2 = 6. The next perfect number is 28: 28 = 1 + 2 + 4 + 7 + 14. This is followed by the perfect numbers 496 and 8128 . In about 300 BC Euclid showed that if 2 − 1 is prime then 2(2 − 1) is perfect. The first four perfect numbers were the only ones known to early Greek mathematics, and the mathematician Nicomachus had noted 8128 as early as 100 AD. Philo of Alexandria in his first-century book ""On the creation"" mentions perfect numbers, claiming that the world was created in 6"
"the 6th letter of the modern and classical Greek alphabet, denotes a value of seven (7) when used as a numeral. Examples: Zetta- Zetta is a decimal unit prefix in the metric system denoting a factor of 10 or . The prefix was added as an SI prefix to the International System of Units (SI) in 1991 and has the symbol Z. Zetta is evocative of the Latin numeral , meaning ""seven"". Therefore it was used to denote the seventh power of 1000. A prefix of the same value, ""hepta"", was informally introduced a few years before the promulgation of"
"the only elements that are not their own inverses, but instead inverses of each other. This particular example lets us create six permutation matrices (all elements 1 or 0, exactly one 1 in each row and column). The 6x6 matrix representing an element will have a 1 in every position that has the letter of the element in the Cayley table and a zero in every other position, the Kronecker delta function for that symbol. (Note that ""e"" is in every position down the main diagonal, which gives us the identity matrix for 6x6 matrices in this case, as we"
"use both alpha and beta to judge a manager's performance. If the manager has had a high alpha, but also a high beta, investors might not find that acceptable, because of the chance they might have to withdraw their money when the investment is doing poorly. These concepts not only apply to investment managers, but to any kind of investment. Alpha (finance) Alpha is a measure of the active return on an investment, the performance of that investment compared with a suitable market index. An alpha of 1% means the investment's return on investment over a selected period of time"
"the market. A beta above 1 generally means that the asset both is volatile and tends to move up and down with the market. An example is a stock in a big technology company. Negative betas are possible for investments that tend to go down when the market goes up, and vice versa. There are few fundamental investments with consistent and significant negative betas, but some derivatives like equity put options can have large negative beta values. Investments with a high beta value are often called ""beta investments"", as opposed to ""alpha investments"" which typically have lower volatility and lower"
"put the third block into the first position"". If we write ""e"" for ""leave the blocks as they are"" (the identity operation), then we can write the six permutations of the three blocks as follows: Note that ""aa"" has the effect RGB → GRB → RGB; so we can write ""aa"" = ""e"". Similarly, ""bb"" = (""aba"")(""aba"") = ""e""; (""ab"")(""ba"") = (""ba"")(""ab"") = ""e""; so every element has an inverse. By inspection, we can determine associativity and closure; note in particular that (""ba"")""b"" = ""aba"" = ""b""(""ab""). Since it is built up from the basic operations ""a"" and ""b"", we"
"Beta function In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for . The beta function was studied by Euler and Legendre and was given its name by Jacques Binet; its symbol is a Greek capital beta rather than the similar Latin capital B or the Greek lowercase ""β"". The beta function is symmetric, meaning that A key property of the Beta function is its relationship to the gamma function; proof is given below in the section on relationship between gamma function and beta function When and are positive"
"106–110) of tellurium (element 52). Exceptionally, however, beryllium-8 decays to two alpha particles. Alpha decay is by far the most common form of cluster decay, where the parent atom ejects a defined daughter collection of nucleons, leaving another defined product behind. It is the most common form because of the combined extremely high binding energy and relatively small mass of the alpha particle. Like other cluster decays, alpha decay is fundamentally a quantum tunneling process. Unlike beta decay, it is governed by the interplay between both the nuclear force and the electromagnetic force. Alpha particles have a typical kinetic energy"
"and formula_6, each with formula_7 digits: formula_8 formula_9 such that formula_10, formula_11 and formula_12 are not both zero, and the formula_2 digits of the concatenation of formula_5 and formula_6 formula_16 are a permutation of the formula_2 digits of formula_1. The two numbers formula_5 and formula_6 are called the ""fangs"" of formula_1. For example: 1260 is a vampire number, with 21 and 60 as fangs, since 21 × 60 = 1260 and the digits of the concatenation of the two factors (2160) are a permutation of the digits of the original number (1260). However, 126000 (which can be expressed as 21"
"beta, and the use of sigma (the standard deviation of logarithmic returns) and tau (time to expiry) in the Black–Scholes option pricing model. Several names such as 'vega' and 'zomma' are invented, but sound similar to Greek letters. The names 'color' and 'charm' presumably derive from the use of these terms for exotic properties of quarks in particle physics. Delta, formula_1, measures the rate of change of the theoretical option value with respect to changes in the underlying asset's price. Delta is the first derivative of the value formula_2 of the option with respect to the underlying instrument's price formula_3."
"selected ""alpha"" and ""beta"" constants (from which the filter gets its name), uses ""alpha"" times the deviation ""r"" to correct the position estimate, and uses ""beta"" times the deviation ""r"" to correct the velocity estimate. An extra ""ΔT"" factor conventionally serves to normalize magnitudes of the multipliers. The corrections can be considered small steps along an estimate of the gradient direction. As these adjustments accumulate, error in the state estimates is reduced. For convergence and stability, the values of the ""alpha"" and ""beta"" multipliers should be positive and small: Noise is suppressed only if formula_9, otherwise the noise is amplified."
"Zeta Zeta (uppercase Ζ, lowercase ζ; , , classical or ""zē̂ta""; ""zíta"") is the sixth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 7. It was derived from the Phoenician letter zayin . Letters that arose from zeta include the Roman Z and Cyrillic З. Unlike the other Greek letters, this letter did not take its name from the Phoenician letter from which it was derived; it was given a new name on the pattern of beta, eta and theta. The word ""zeta"" is the ancestor of ""zed"", the name of the"
"Values of ""alpha"" and ""beta"" typically are adjusted experimentally. In general, larger ""alpha"" and ""beta"" gains tend to produce faster response for tracking transient changes, while smaller ""alpha"" and ""beta"" gains reduce the level of noise in the state estimates. If a good balance between accurate tracking and noise reduction is found, and the algorithm is effective, filtered estimates are more accurate than the direct measurements. This motivates calling the alpha-beta process a ""filter"". Initialize. Update. Repeat for each time step ΔT: Alpha Beta filter can be implemented in C as follows: The following images depict the outcome of the"
"666 (number) 666 (six hundred [and] sixty-six) is the natural number following 665 and preceding 667. Six hundred and sixty-six is called the ""number of the Beast"" in (most manuscripts of) chapter of the Book of Revelation, of the New Testament, and also in popular culture. 666 is the sum of the first 36 natural numbers (formula_1, i.e. ), and thus it is a triangular number. Notice that ; 15 and 21 are also triangular numbers; and . In base 10, 666 is a repdigit (and therefore a palindromic number) and a Smith number. A prime reciprocal magic square based"
"horizontal bar. This glyph variant has not caught on; for calculators that can display results in hexadecimal, a 6 that looks like a ""b"" is not practical. Just as in most modern typefaces, in typefaces with text figures the 6 character usually has an ascender, as, for example, in . This numeral resembles an inverted ""9"". To disambiguate the two on objects and documents that can be inverted, the 6 has often been underlined, both in handwriting and on printed labels. 6 6 (six) is the natural number following 5 and preceding 7. The SI prefix for 1000 is exa-"
"nuclei (element 52) containing 106 or more nucleons, electric forces may be so destabilizing that entire chunks of the nucleus may be ejected, usually as alpha particles, which consist of two protons and two neutrons (alpha particles are fast helium nuclei). (Beryllium-8 also decays, very quickly, into two alpha particles.) Alpha particles are extremely stable. This type of decay becomes more and more probable as elements rise in atomic weight past 106. The curve of binding energy is a graph that plots the binding energy per nucleon against atomic mass. This curve has its main peak at iron and nickel"
"(given the right conditions on the exponents) the transcendence of at least one of a set of exponentials. All primes above 3 are of the form 6""n"" ± 1 for ""n"" ≥ 1. is classical Greek for ""six"". Thus: Sex- is a Latin prefix meaning ""six"". Thus: The evolution of our modern glyph for 6 appears rather simple when compared with that for the other numerals. Our modern 6 can be traced back to the Brahmi numerals of India, which are first known from the Edicts of Ashoka circa 250 BCE. It was written in one stroke like a cursive"
"We know that, the beta of a company is : We also know that, the return on equity of a nonleveraged and a leveraged firm is: Where formula_6 is sum of the net capital expenditure and the change in net working capital. If we substitute the (3) and (4) equation into the (2), then we get these formulas (5), if we suppose that the covariances between the market and the components of equity cash flow are zero (hence ""β=β=β=0""), except the covariance between EBIT and the market: For get the well-known equation, suppose that the value of a firm's assets"