Sentence examples for modulus of one from inspiring English sources

exists and is equal to the modulus of one of the eigenvalues of matrix A. Proposition 2 [24].

exists and is equal to the modulus of one the eigenvalues of matrix A. Proposition 2 [20].

exists and is equal to the modulus of one of the eigenvalues of matrix A. In this section, we shall investigate the qualitative behavior of system (1).

(i) the Floquet exponents of have modulus less than or equal to one; those with modulus of one are semisimple;   (ii) ; those eigenvalues of of unit modulus are semisimple.  . the Floquet exponents of have modulus less than or equal to one; those with modulus of one are semisimple; ; those eigenvalues of of unit modulus are semisimple.

stable if and only if the Floquet exponents have modulus less than or equal to one; those with modulus of one are semisimple; asymptotically stable if and only if all the Floquet exponents lie inside the unit disk.

exists and is equal to the modulus of one the eigenvalues of matrix A. Let { ( I n, S n ) } be any solution of system (1) such that lim n → ∞ I n = I ¯, and lim n → ∞ S n = S ¯.

Since the function (overline{ zeta_{1}}f(lambdazeta_{1},ldots,lambdazeta_{n})- overline{ zeta_{2}}g(lambdazeta_{1},ldots,lambdazeta_{n})) is holomorphic on the unit disk (|lambda|<1), by the maximum modulus principle of one complex variable, it follows that overline{ zeta_{1}}f(lambdazeta_{1},ldots,lambda zeta_{n})- overline{ zeta_{2}}g(lambdazeta_{1}, ldots,lambdazeta_{n})=0 for all (lambdain D).

Tensile strength, modulus of elasticity, one directional shrinkage and X-ray diffraction were measured in all samples.

First, the synthetic distal femora had an elastic modulus of approximately one quarter of the stiffness of healthy femoral cortical bone, which should therefore be regarded as a worst case of osteoporotic bone, as often occurs in revision TKA with IBG.

A small deflection analytical model is presented that predicts yield strength and modulus for one type of design with good accuracy.

These technical composites are characterized by the increase of porous space in the respective material system, resulting in a reduction of Young's modulus, on the one hand, and in an increase of the thermal insulation capacity, on the other hand, yielding either a load-carrying insulation material or a structural material with enhanced resistance to heat transfer.