Sentence examples for the classical formula from inspiring English sources

Solving the quadratic equation using the classical formula is an unstable algorithm.

Then the critical velocity obeys the classical formula with an augmented mass that adds 50% of the foundation mass to the beam mass.

For a low mass ratio, the critical velocity approaches the classical formula and for a higher mass ratio, it approaches the velocity of propagation of shear waves in the foundation.

We show the analogue for the entropy of automorphisms of finite von Neumann algebras of the classical formula H(T =H(∨∞i=0 T−iP ∣ ∨∞i=1 T−iP), where T is a measure preserving transformation of a probability space, and P is a generator.

We give two extensions of the classical formula for sums of powers on arithmetic progressions.

This shows that it should require no imagination whatsoever to guess the guiding equation from Schrödinger's equation, provided one is looking for one, since the classical formula for current is density times velocity.

They are also applicable in the neighborhood of the optimal γ, where the classical formulas may call for the inverse of singular or ill-conditioned matrices.

The classical formulas for such calculations all require additional hypotheses, same of which may be difficult to check or are not always satisfied in a given variational problem.

The structures of hydronium ions present in single crystals have, by and large, been thought as being relatively simple and characterized by the classical formulae H3O+, H5O+2, H7O+3 and H9O+4.

This pair of walls, together with the tunnel's boundaries, form an enclosure for which the classical formulae from room acoustics may be used for calculating the reverberant traffic noise sound pressure levels.

Statistics relating to the topographical effects (computed by the integral formulae) and the corresponding values (computed by the classical formulae) are presented in Table 1.