Sentence examples for fundamental formula from inspiring English sources
Athanasius created the fundamental formula for the theology of deification: "God became man in order that we become God".
(In accordance with the fundamental formula of quantitative genetics, R = h2S, where R is the response to selection and S is the selection differential).
The fundamental formula to mathematically depict the STDP learning function is shown below [42]: varDelta w=xi left varDelta Tright)=left{begin{array}{l}{a}^{e}^{-Delta T/{tau}^kern0.6em };mathrm{if}kern0.36em Delta T>0 -{a}^{e}^{Delta T/{tau}^kern0.24em }mathrm{if}kern0.36em Delta T<0end{array}right.
The s.d. of the filter output series (Y_{t}) is related to the input series s.d. ( g_{X}left( lambda right) ) by the fundamental formula begin{aligned} g_{Y}left( lambda right) =left| beta left( e^{i2pi lambda }right) right| ^{2}g_{X}left( lambda right), end{aligned} (46 see (4.4.3) of Brockwell and Davis (1991).
Fundamental formulae for the reference beam on an elastic foundation are derived and thoroughly discussed.
These formulas complement the fundamental kinematic formula, which only deals with hypersurfaces.
Meanwhile, the mean curvature integral plays an important role in Chern fundamental kinematic formula.
He proved the fundamental kinematic formula in n-dimensional Euclidean space (mathbb{R}^{n}) in [2].
The fundamental kinematic formula of Blaschke (8) can be rewritten as ∫ { g ∈ G 2 : K 0 ∩ t ( g K 1 ) ≠ ∅ } n ( g ) d g = 2 π ( t 2 A 1 + A 0 ) + t P 0 P 1. (11).
We show that in the limit case Lc → 0 (which corresponds to considering very large specimens of a microstructured metamaterial) the meso- and micro-coefficients of the relaxed model can be put in direct relation with the macroscopic stiffness of the medium via a fundamental homogenization formula.
If μ denotes the set of all positions of (K_{1}) in which either (t gK_{1})subset K_{0}) or (t gK_{1})supset K_{0}), then the fundamental kinematic formula of Blaschke (1.14) can be rewritten as int_{mu}dg+ int_{{gin G_{2} : partial K_{0}cappartial (t gK_{1}))neqemptyset}} chibigl(K_{0}cap t gK_{1}) bigr), dg=2pi bigl(t^{2}A_{1}+A_{0} bigr)+tP_{0}P_{1}.
