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Equality (mathematics) In mathematics, equality is a relationship between two quantities or, more generally, two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. Equality between A and B is written A = B, and pronounced " A equals B ". [1]
The arithmetic mean of a set of observed data is equal to the sum of the numerical values of each observation, divided by the total number of observations. Symbolically, for a data set consisting of the values , the arithmetic mean is defined by the formula: [2] (For an explanation of the summation operator, see summation .)
Murphy's sign. Purpose. Differentiating upper right quadrant pain. In medicine, Murphy's sign (also known as Sweeney’s sign) is a maneuver during a physical examination as part of the abdominal examination. [1] It is useful for differentiating pain in the right upper quadrant. Typically, it is positive in cholecystitis, but negative in ...
Grey Turner's sign refers to bruising of the flanks, the part of the body between the last rib and the top of the hip. The bruising appears as a blue discoloration, [1] and is a sign of retroperitoneal hemorrhage, or bleeding behind the peritoneum, which is a lining of the abdominal cavity. Grey Turner's sign takes 24–48 hours to develop, and ...
The sign-and-trade helps NBA teams capitalize on financial assets that they would otherwise lose—with nothing gained in return—if a player became a free agent. It is a factor in the departing player's increased salary and extended contract. It helps the team gaining the player, by enabling it to offer a better/more economically competitive ...
Sharp (music) In music, in English sharp – eqv. dièse (from French) or diesis (from Greek δίεσις) [a] – means higher in pitch. The sharp symbol, ♯, indicates that the note to which the symbol is applied is played one semitone higher. The opposite of sharp is flat, indicating a lowering of pitch. The ♯ symbol derives from a square ...
The prime symbol ′ is commonly used to represent feet (ft), and the double prime ″ is used to represent inches (in). [2] The triple prime ‴, as used in watchmaking, represents a ligne ( of a "French" inch, or pouce, about 2.26 millimetres or 0.089 inches). [3] Primes are also used for angles. The prime symbol ′ is used for arcminutes ...
Conjugation by a unit quaternion (a quaternion of absolute value 1) with real part cos (φ) is a rotation by an angle 2φ, the axis of the rotation being the direction of the vector part. The advantages of quaternions are: [41] Avoiding gimbal lock, a problem with systems such as Euler angles.