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  2. Orders of magnitude (probability) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude...

    105: 1.4×105: Probability of being dealt a straight flush (other than a royal flush) in poker 1.6×105: Risk that the asteroid 2013 TV135 which is 450 meters wide [14] will impact earth in 2032 [15] 3.2×105: Gaussian distribution: probability of a value being more than 4 standard deviations from the mean on a specific side [16 ...

  3. Magnitude (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Magnitude_(mathematics)

    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.

  4. Order of magnitude - Wikipedia

    en.wikipedia.org/wiki/Order_of_magnitude

    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.

  5. Orders of magnitude (energy) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(energy)

    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× ...

  6. Vector algebra relations - Wikipedia

    en.wikipedia.org/wiki/Vector_algebra_relations

    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.

  7. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.

  8. Complex conjugate - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate

    In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, if a {\displaystyle a} and b {\displaystyle b} are real numbers, then the complex conjugate of a + b i {\displaystyle a+bi} is a − b i . {\displaystyle a-bi.}

  9. Operator (physics) - Wikipedia

    en.wikipedia.org/wiki/Operator_(physics)

    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 ]