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7.0×10 21 J Thermal energy released by the Toba eruption [201] 7.9×10 21 J: Estimated energy contained in the world's petroleum reserves as of 2010 [213] [222] 9.3×10 21 J: Annual net uptake of thermal energy by the global ocean during 2003-2018 [223] 10 22 1.2×10 22 J Seismic energy of a magnitude 11 earthquake on Earth (M 11) [224] 1.5× ...
In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering (or ranking) of the class of objects to which it belongs.
In calculus, and especially multivariable calculus, the mean of a function is loosely defined as the average value of the function over its domain. In one variable, the mean of a function f ( x ) over the interval ( a , b ) is defined by: [ 1 ]
10 −5: 1.4×10 −5: Probability of being dealt a straight flush (other than a royal flush) in poker 1.6×10 −5: Risk that the asteroid 2013 TV135 which is 450 meters wide [14] will impact earth in 2032 [15] 3.2×10 −5: Gaussian distribution: probability of a value being more than 4 standard deviations from the mean on a specific side [16 ...
The following are important identities in vector algebra.Identities that only involve the magnitude of a vector ‖ ‖ and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.
When truncating, a number of this order of magnitude is between 10 6 and 10 7. In a similar example, with the phrase "seven-figure income", the order of magnitude is the number of figures minus one, so it is very easily determined without a calculator to be 6. An order of magnitude is an approximate position on a logarithmic scale.
The expectation value (equivalently the average or mean value) is the average measurement of an observable, for particle in region R. The expectation value A ^ {\displaystyle \left\langle {\hat {A}}\right\rangle } of the operator A ^ {\displaystyle {\hat {A}}} is calculated from: [ 3 ]
The arithmetic mean (or simply mean or average) of a list of numbers, is the sum of all of the numbers divided by their count.Similarly, the mean of a sample ,, …,, usually denoted by ¯, is the sum of the sampled values divided by the number of items in the sample.