Sentence examples for Satisfy the difference from inspiring English sources

For example, the Bernoulli polynomials satisfy the difference equation ([[7], p. 265 (18)]) (5.1).

Also the sequences ((a_{k})_{kin mathbb {N}}), ((b_{k})_{kin mathbb {N}}), ((c_{k})_{kin mathbb {N}}) and ((d_{k})_{kin mathbb {N}}) satisfy the difference equation (44) with initial conditions in (49), respectively.

He claims however that under ideal conditions of a well-ordered society, where the principles of justice are generally accepted, either a "property-owning democracy" or liberal (market) socialism are most likely to satisfy the difference principle, to the exclusion of laissez-faire capitalism, command economy communism, and even the modern capitalist welfare state.

end{aligned} (2.5) Since the classical Frobenius-Euler polynomials satisfy the difference equation (see, e.g., [22]) H_{n}(1+x|lambda )-lambda H_{n}(x|lambda )= 1-lambda )x^{n}quad (ngeq 0;lambda neq 1), (2.6) from (2.2) and (2.6), we obtain (-1)^{n}H_{n} biggl(xBig|frac{1}{lambda } biggr)= 1-lambda ) (-x)^{n}quadmbda H_{ngeqx|lambda )quad (ngeq 0 lambda neq 0,1).

Rawls contends it is an empirical question which economic system satisfies the difference principle.

and from (2.27), it follows that satisfies the difference equation (2.35).

From (2.3), (2.15), by the mean-value theorem, we conclude that satisfies the difference problem.

Theorem 5.1 The generalized Riemann zeta function Ξ ν (s; x) satisfies the difference equation (5.2).

Let It is easy to check that satisfies the difference equation (1.18).

An effort is required to show that (g_{1}) satisfies the difference equation in (2.8).

Indeed, if by contradiction, we assume that there exist two solutions and to (2.3), then by the mean-value theorem, the difference satisfies the difference problem (2.38).