This reduces the infinitely high dimensional Hilbert space to a small number of dimensions and hence allows for the numerical calculation of all operator expectation-values.
We call a deterministic machine M sym-universally halting if ({mathrm {Sym}}(M)) does not have infinitely long reduced computations that start at a non-accepted configuration.
In terms of this approach, the disturbance is estimated by a relatively independent estimator, based on (possibly) an infinite number of ordinary differential equations reduced from the original PDEs by infinitely many time-dependent test functions.
By assessing the minimum spanwise extension required to predict accurately the flow around a circular cylinder, the infinitely long cylinder is reduced to a finite length cylinder, thus making numerical solution an effective way of investigating flows around circular cylinders.
This reduces the original infinitely-dimensional problem to optimization over four real parameters.
Within the limits of infinitely fast kinetics, the system is reduced to an advection diffusion equation for the scalar φ, representing the difference between the reactant concentrations.
In the second model, which applies to large-amplitude periodic flapping motions, the optimal circulation problem is reduced to solving for the flow over an infinitely long wavy sheet translating through an inviscid fluid at rest at infinity.
Indeed, the toys prized by benders, like various versions of Texas Instruments Speakk & Spell products, date from the 80's and early 90's, when complex, infinitely bendable circuits had yet to be reduced to a single integrated chip.
Thus, even if the indexed lookup were made infinitely fast, the overall running time would be reduced modestly.
For infinitely various are the incidents in one man's life which cannot be reduced to unity; and so, too, there are many actions of one man out of which we cannot make one action.
