The cumulative distribution function of a random variable, X, that is evaluated at a point, x, can be defined as the probability that X will take a value that is lesser than or equal to x. It is also known as the distribution function. The formula for the geometric distribution CDF is ...
Deahna-Frobenius theorem,Footnote 11 provides the condition for integrability of the time-vertical tangent distribution, composed of tangent vector fields \(\,\textbf{V}:\mathcal {E}\mapsto {T\mathcal {E}}\,\) fulfilling the Johann Friedrich Pfaff condition \(\,{\langle }\hspace{1.00006pt...
. Due to the perpendicularity error of the shaft and bearing bush, the distribution of clearance will be uneven, which will affect the motion accuracy of the hydrostatic thrust bearing. Therefore, this paper proposes a method of evaluating and correcting the perpendicularity error of the shaft and...
Guillemin, V.: A new proof of Weyl’s formula on the asymptotic distribution of eigenvalues. Adv. Math. 55(2), 131–160 (1985). https://doi.org/10.1016/0001-8708(85)90018-0 Article MathSciNet MATH Google Scholar McCormick, A.: A trace formula on stationary Kaluza-Klein spacetimes....
Fig. 19. Wing-box assembly considering preloading-modified distribution [51] 3.3 Stiffness changing in assembly error accumulation Wrmefjord [52,53] stressed that for assembly deviation management, it is facing challenges: (1) keeping 3D models fully updated, and (2) the change and feedback thr...
It was first demonstrated that the radiation intensity related should obey a cosine-law, then a general sampling method of generating this distribution via GPS of GEANT4 was explained. Furthermore, combined with flux normalization, a comparison of the geometric factor calculation of a set of 2-...
The second vector field is solved by the variation of parameters formulaψh[2](y0[2])=e−hA(y0[2]+A−1b)+A−1b. Taking the Jacobian determinant gives|∂ψh[2](y0[2])∂y0[2]|=e−hTr(A), which is consistent with the exact solution (11). As the Jacobian of the com...
In this paper we consider Monge–Ampère equations on compact Hessian manifolds, or equivalently Monge–Ampère equations on certain unbo
In this paper, using the geometric-structure approach13, we derive for the first time a highly accurate formula for the densities of MRJ packings of frictionless two-dimensional (2D) binary (two-component) convex superdisks, which constitutes a family of an uncountably infinite number of ...
taking into account the competing risk setting, as p(10) = Prob T1(0) < τ , T1(0) < T2(0) and p(20) = Prob T2(0) < τ , T2(0) < T1(0) based on the joint distribution of T1(g) and T2(g), which has been modeled through the copula C(u, v; θ) explained in item...