Sentence examples for a fractional set of from inspiring English sources

However, data points on the right of the diagonal in figures 2D and 2E also show that for a fractional set of target-probe pairs, substitution with MeC and MeU increased hybridization signal relative to the unmodified control.

The diameter of a non-empty fractional set E, the subset of a fractional set, is given by | E | : = sup { | x − y | α, x α, y α ∈ E }. (8).

To define the space of ultraBoehmians, let (S_{alpha }) and (D_{alpha }) be the fraction spaces of (F_{alpha }) of all members of (S_{beta }^{tilde{beta }} ( R ) ) and (D_{beta }^{ tilde{beta }} ( R ) ), respectively, and, similarly, let (Delta_{alpha }) be the fractional set of (F_{alpha }) of all sequences in (Delta^{alpha }).

For the basic theory of the variational method in a fractional setting, one can see [14].

Records of passenger seat capacity are available since 2000 and show substantive increases over the period in Set 1 (from 2.96 to 4.77 million, a fractional change of 1.61) and Set 2 (from 5.6 to 15.6 million, a change of 2.8).

More specific data on passenger volumes show almost universally similar increases since 2005 with Set 1 nations changing from 2 million to 2.5 million, a fractional change of 1.22 and Set 2 changing from 5 million to 7.9 million, a change of 1.57.

To introduce intra-subpopulation cell-to-cell variability (termed herein noise), for each run of the simulation we sampled the values for the total Raf, Mek and Erk levels from a Normal distribution N around the respective initial concentration for a given set of fractional deviation from the mean (σ= μ· f d, where f d∈{0.1,0.2,0.3,0.4,0.5,0.6,0.7}).

Firstly, a set of fractional differential equations are constructed, based on which the modulating functions method is applied, such that the fractional derivative with an arbitrary order of the output can be exactly given by an algebraic formula using a recursive way.

This paper presents a set of fractional Boussinesq equations (fBEs) for groundwater flow in confined and unconfined aquifers and demonstrates the application of one of the fBEs for groundwater discharges known as recession curves.

This analysis yields a set of fractional clearance parameters (table 1).

This paper proposes a continuous time irrational filter structure via a set of the fractional order Gammatone components instead of via a set of integer order Gammatone components.