Sentence examples for multiplicity and a from inspiring English sources
Non-inferiority of lumiracoxib for the primary outcome variable (1-year retention on treatment) was tested by a non-inferiority test comparing pairwise differences using a multiple testing procedure to adjust for multiplicity and a confidence interval (CI) approach with a predefined non-inferiority margin of -10%.
We prove results about existence, multiplicity and a priori estimates.
Suppose that is a zero of with multiplicity, then is a zero of with multiplicity, and a zero of with multiplicity, which is a contradiction.
The focus is on steady-state multiplicity and a rigorous bifurcation analysis of pilot plant reactive distillation columns for both processes is presented.
Bifurcation analysis of the semi-analytical model is performed by using singularity theory to analyse the static multiplicity and a stability analysis to determine the dynamic multiplicity.
All eigenvalues have infinite multiplicity and a countable system of orthonormal eigenfunctions with compact support is complete in the corresponding Hilbert space.
Leibniz asked himself: if we grant that each real entity is either a simple unity or a multiplicity, and that a multiplicity is necessarily an aggregation of unities, then under what head should a geometric continuum such as a line be classified?
We shall prove here that for K ≥ 1 the spectrum of the operator H with kernel (1.7) consists of the zero eigenvalue of infinite multiplicity and an infinite number of eigenvalues of finite multiplicities accumulating both at + ∞ and - ∞.
It is then a multiplicity, and accordingly an aggregation of unities.
By Lemma 2.1, the spectrum (sigma(J)) consists of eigenvalues numbered by (eta_{1}leqeta_{2}leqcdotsleqeta _{k}leqcdotsrightarrowinfty) (counted in their multiplicities) and a corresponding system of eigenfunctions ({e_{k}}) ((Je_{k}=eta _{k}e_{k})) which forms an orthogonal basis in (L^{2}(mathbb{R},mathbb{R}^{N})).
The challenge for researchers dealing with multiplicities and a fluid reality is to achieve a balance between the focus of the investigation and acknowledging that multiple different realities can exist without letting these differences mask the complexity of relationships.
