The phrase "alternative guarantees" is correct and usable in written English.
It can be used when discussing different options or assurances that can be provided instead of the standard guarantees.
Example: "The company offers alternative guarantees for customers who prefer more flexible terms."
Alternatives: "substitute assurances" or "different guarantees".
Now the Leray-Schauder nonlinear alternative guarantees that the integral equation u ( t ) = ∫ 0 1 G ( t, s ) f n ( s, u ( s ) ) d s + 1 n (3.4).
Also, the fixed point alternative guarantees that such Q is the unique mapping such that ||f(x) - Q x)|| ≤ k (x) for all x ∈ X and some k > 0. Again using the fixed point alternative, we have d ( f, Q ) ≤ 1 1 - L d ( f, T f ).
Preserve what has stood the test of time while keeping it current especially when the alternative guarantees temporal doom.
A discussion of alternative guarantee designs is thus highly relevant.
Belgium's strong beers owe something to this period: many brewers upped the alcohol content to console drinkers forced to give up genever.This lack of alternatives guaranteed brewers a large and thirsty market.
From this claim, the Leray-Schauder alternative principle guarantees that.
Flexibilisation must serve as an alternative which guarantees social security equal to normal, full employment.
Plant cell cultures have been demonstrated to be an efficient, cost-effective, and eco-friendly alternative that guarantees safety and constancy in the quality of the produced secondary metabolites (SMs).
From this claim, the Leray Schauder alternative principle guarantees that y(t)= int_{0}^{1} G^ t,s f_{n}^bigl s, s^{alpha-2}bigl y(s^{alpha-2}bigl yr),ds -phi{1}{n} has -phixed point, denoted by (y_{n}), in (B_{r}={yin E, Vert y Vert < r}).
Now the Leray-Schauder nonlinear alternative theorem guarantees that the equation y(t)= int_{0}^{1}lambda G^ t,s) bigl(f_{n} bigl s,y^ s-tau bigr)+rho(s) bigr),y^ s-tau bigr has a solution (y_{n}), in (bar{Omega}_{r}={yin C[0,1]:|y|leq r}), for (tin(0,1)).
Janeane Garofalo, a regular on the Stiller show and an alternative presence guaranteed not to sit comfortably with the networks, plays the susceptible teenage daughter (Juliette Lewis in the film).
