Definitions[edit] Probability mass function[edit] Suppose one does an experiment of extracting n balls of k different colors from a bag, replacing the extracted balls after each draw. Balls of the same color are equivalent. Denote the variable which is the number of extracted balls of color i (i = 1, ..., k) as Xi, and denote as pi the probability that a given extraction will be in color i. The pr
In statistics, the Gauss–Markov theorem states that the ordinary least squares (OLS) estimator has the lowest sampling variance within the class of linear unbiased estimators, if the errors in the linear regression model are uncorrelated, have equal variances and expectation value of zero.[1] The errors do not need to be normal, nor do they need to be independent and identically distributed (only
A chemoautotrophic whale fall community in the Santa Cruz basin off southern California at a depth of 1,674 m (5,492 ft), including bacteria mats, vesicomyid clams in the sediments, galatheid crabs, polynoids, and a variety of other invertebrates. A whale fall occurs when the carcass of a whale has fallen onto the ocean floor, typically at a depth greater than 1,000 m (3,300 ft), putting them in t
Katharine Hepburn's role as Susan Vance in the 1938 screwball comedy film Bringing Up Baby has been described as an early example of the character. A Manic Pixie Dream Girl (MPDG) is a stock character type in fiction, usually depicted as a young woman with eccentric personality quirks who serves as the romantic interest for a male protagonist. The term was coined by film critic Nathan Rabin after
Tang ping (Chinese: 躺平; lit. 'lying flat') is a Chinese slang neologism that describes a personal rejection of societal pressures to overwork and over-achieve, such as in the 996 working hour system, which is often regarded as a rat race with ever diminishing returns.[1][2][3][4] Tang ping means choosing to "lie down flat and get over the beatings" via a low-desire, more indifferent attitude towar
Short video about Iron Dome from the Israeli News Company The EL/M-2084 active electronically scanned array scaled down derivative radar of the Iron Dome US Ambassador Dan Shapiro visits the Battle Management & Control (BMC) unit of the Iron Dome in 2011 Iron Dome (Hebrew: כִּפַּת בַּרְזֶל, romanized: Kippat Barzel) is an Israeli mobile all-weather air defense system[8] developed by Rafael Advance
Ludwig van Beethoven[n 1] (baptised 17 December 1770 – 26 March 1827) was a German composer and pianist. He is one of the most revered figures in the history of Western music; his works rank among the most performed of the classical music repertoire and span the transition from the Classical period to the Romantic era in classical music. His early period, during which he forged his craft, is typic
In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse function of an analytic function. Lagrange inversion is a special case of the inverse function theorem. Statement[edit] Suppose z is defined as a function of w by an equation of the form where f is analytic at a point a and Then it is possible to in
"Christ and the Woman Taken in Adultery" redirects here. For other uses, see Christ and the Woman Taken in Adultery (disambiguation). Christ with the Woman Taken in Adultery, by Guercino, 1621 (Dulwich Picture Gallery) Christ and Sinner, 1873 by Henryk Siemiradzki Christ and the Woman Taken in Adultery, 1565 by Pieter Bruegel, oil on panel, 24 cm × 34 cm (9.4 in × 13.4 in) Christ and the woman tak
In computability theory, Rice's theorem states that all non-trivial semantic properties of programs are undecidable. A semantic property is one about the program's behavior (for instance, "does the program terminate for all inputs?"), unlike a syntactic property (for instance, "does the program contain an if-then-else statement?"). A non-trivial property is one which is neither true for every prog
The basic approach of nearly all of the methods to calculate the day of the week begins by starting from an "anchor date": a known pair (such as 1 January 1800 as a Wednesday), determining the number of days between the known day and the day that you are trying to determine, and using arithmetic modulo 7 to find a new numerical day of the week. One standard approach is to look up (or calculate, us
QWERTY, one of the few native English words with Q not followed by U, is derived from the first six letters of a standard keyboard layout. A souq in Marrakech, Morocco. Like many of the other English words that use a q not followed by a u, souq is of Arabic origin. In English, the letter Q is usually followed by the letter U, but there are some exceptions. The majority of these are anglicised from
Following are two different notations describing the same function in unsimplified Boolean algebra, using the Boolean variables A, B, C, D and their inverses. where are the minterms to map (i.e., rows that have output 1 in the truth table). where are the maxterms to map (i.e., rows that have output 0 in the truth table). K-map drawn on a torus, and in a plane. The dot-marked cells are adjacent. K-
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