Subtracting one equation from another eliminates these quadratic terms; the remaining linear terms may be re-arranged to yield formulae for the coordinates " x " " s " and " y " " s"
32.
If so, how do you deal with the fact that the quadratic term, x ^ 2 and the linear term, x, cannot both be normally distributed, and are not independent ? talk ) 19 : 23, 11 August 2008 ( UTC)
33.
When the Fisher information matrix is computed at the evaluates of the parameters ( " the observed Fisher information matrix " ) it is equivalent to the replacement of the true log likelihood surface by a Taylor's series approximation, taken as far as the quadratic terms.
34.
In RF band detection, typically, the electromagnetic field drives oscillatory motion of electrons in an antenna; the captured EMF is subsequently electronically mixed with a local oscillator ( LO ) by any convenient non-linear circuit element with a quadratic term ( most commonly a rectifier ).
35.
:: : The equipartition theorem can be stated thus : every degree of freedom of a body which contributes a quadratic term of a coordinate or momentum to the total energy has an average energy of kT / 2 and gives a contribution to the heat capacity of k / 2.
36.
It was argued by Vainshtein two years later that the vDVZ discontinuity is an artifact of the linear theory, and that the predictions of general relativity are in fact recovered at small scales when one takes into account nonlinear effects, i . e ., higher than quadratic terms in h _ { \ mu \ nu }.
37.
An explanation of this is that although the logarithm of the lognormal density function is quadratic in, yielding a " bowed " shape in a log-log plot, if the quadratic term is small relative to the linear term then the result can appear almost linear, and the lognormal behavior is only visible when the quadratic term dominates, which may require significantly more data.
38.
An explanation of this is that although the logarithm of the lognormal density function is quadratic in, yielding a " bowed " shape in a log-log plot, if the quadratic term is small relative to the linear term then the result can appear almost linear, and the lognormal behavior is only visible when the quadratic term dominates, which may require significantly more data.
39.
What if instead we derived . 5T using the full partition function formalism, but only analyzing a quadratic energy ? ( I'm thinking 1-d ideal gas, . 5mv ^ 2 . ) It would be obvious how it generalizes for more quadratic terms, and it would be simpler to follow than the fully general form that comes later ( and it would prepare the reader for it ).
40.
If the quadratic term is negligible-- meaning that the linear term is sufficiently accurate without adding the quadratic term-- then linear interpolation is sufficiently accurate . ( If the problem is sufficiently important, or if the quadratic term is nearly big enough to matter, then one might want to determine whether the _ sum _ of the quadratic and cubic terms is large enough to matter in the problem .)
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