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Then the momentum equation can be expressed as
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Then and momentum
Then, dividing the units of energy ( such as eV ) by a fundamental constant that has units of velocity ( M < sup > 0 </ sup > L < sup > 1 </ sup > T < sup >-1 </ sup >), facilitates the required conversion of using energy units to describe momentum.
Then an electron isolated at time will on average have been traveling for time since its last collision, and consequently will have accumulated momentum
Then the Stone – von Neumann theorem is that, given a quantization value, every strongly continuous unitary representation is unitarily equivalent to the standard representation as position and momentum.
Then, pushing on the dock the kayaking creates momentum to propel themselves upwards and out of the water to get on the dock.
Then also the total energy is no longer a constant ( because the four vector energy with linear momentum is ).
Suppose that the angular momentum for the orbital motion is L. Then the orbital magnetic dipole moment is:
Then during Ron Ganulin's tenure as head coach, in the late 1990s and early 2000s, the team recaptured momentum and was one of the better teams in the NEC ; from 1998 through 2004, St. Francis posted a 78-36 conference record.
Then in 1934 they won their signal victory through passage of the Indian Reorganization Act, their cause riding on the momentum of the New Deal commitment to transform the nation.
Then and equation
Then Goursat's theorem asserts that ƒ is analytic in an open complex domain Ω if and only if it satisfies the Cauchy – Riemann equation in the domain.
Then dividing both side by would result in the “ Two-point form ” shown above, but leaving it here allows the equation to still be valid when.
Then the pair ( x < sub > 1 </ sub >, y < sub > 1 </ sub >) solving Pell's equation and minimizing x satisfies x < sub > 1 </ sub >
Then the following regression equation is postulated as a description of the process that generated the data:
Then, again, the conditional wave function of subsystem ( I ) is ( up to an irrelevant scalar factor ) equal to and if the Hamiltonian does not contain an interaction term between subsystems ( I ) and ( II ), satisfies a Schrödinger equation.
Then given the Hamiltonian operator, the equation to satisfy for all functions ( with associated multiplication operator ) is
Let be the mean of the values in associated with class c, and let be the variance of the values in associated with class c. Then, the probability of some value given a class,, can be computed by plugging into the equation for a Normal distribution parameterized by and.
Then, combined with the wage Phillips curve 1 and the assumption made above about the trend behavior of money wages 2, this price-inflation equation gives us a simple expectations-augmented price Phillips curve:
Then any solution of the inhomogeneous equation may have a solution of the homogeneous equation added to it, and still remain a solution.
Then and can
Then, all but blind, he said there was nothing in Back to Methuselah --, -- `` G.B.S. ought to have known that '', -- and `` I look at my bookshelves despairingly, knowing that I can have nothing more to do with them ''.
Then during washing, the greasy soil rolls back at the edges so that emulsified droplets can disengage themselves from the sorbed oil mass, with the aid of mechanical action, and enter the aqueous phase.
Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.
Then the enthusiasm and energy of all elements can be channeled to produce cumulative progress toward a common objective.
Then, after I'm back, another fifty so you can put some mileage on yourself and have a solid alibi somewhere while I take care of your seat cover boy ''.
Then we can express the variables as the sum of the ( time averaged ) mean field () that varies in space and a small fluctuating field () that varies in space and time.
Then nodules of blue earth have to be removed and an opaque crust must be cleaned off, which can be done in revolving barrels containing sand and water.
Then, in 1828, Friedrich Wöhler published a paper on the synthesis of urea, proving that organic compounds can be created artificially.
Then the reservists have to serve up to three weeks a year and can be called up to serve two weeks during a non-military crisis.
Then, according to Adkins ( 1975 ), it can be shown that one can write a further thermodynamic version of the above calorimetric rules:
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
Then each point p of the line can be specified by its distance from O, taken with a + or − sign depending on which half-line contains p.
Then the Cartesian product set D < sub > 1 </ sub > D < sub > 2 </ sub > can be made into a directed set by defining ( n < sub > 1 </ sub >, n < sub > 2 </ sub >) ≤ ( m < sub > 1 </ sub >, m < sub > 2 </ sub >) if and only if n < sub > 1 </ sub > ≤ m < sub > 1 </ sub > and n < sub > 2 </ sub > ≤ m < sub > 2 </ sub >.
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