The temporal evolution of each gravity component, γ Mrr, γ Mrθ, γ Mrφ, γ Mθθ − Mφφ, and γ Mθφ, are simply obtained by the inner product of each basis function (e.g., g Mrr ) and the GRACE gravity data over unit sphere (see the supporting information for the explicit forms).
The necessary and sufficient conditions for linearization were provided in explicit forms.
Our data demonstrate that the scalar property of timing holds for implicit, as well as explicit, forms of perceptual timing.
Governing equations are derived based on nonlocal theory, while the expressions for the buckling load are given in explicit form for a nanoplate with all edges simply supported.
H-tensors of cubical, octahedral and tetrahedral pores for several values of matrix Poisson's ratio are published in explicit form for the first time.
They both obtained some explicit forms for the eigensolutions of these problems and derived some useful spectral properties of the obtained eigensolutions.
They were the first authors who not only obtained some explicit forms for the eigensolutions of these problems but also derived some useful spectral properties of the obtained eigensolutions.
The optimum shapes are given in explicit form for punches with rectangular bases.
The implications of such concepts for artists evolve into explicit form with the genesis of the modern category of fine art and its creators.
Green's function that gives the full set of electromechanical fields due to a point electric charge and an arbitrarily oriented point force is derived in explicit form for a piezoelectric material with the symmetry of class 6.
The equation f V, c, n) = 0 can be solved in explicit form for n as n = n ( c, V ) = - 1 g K g C a m ∞ ( V ) ( V - V C a ) ( V - V K ) + g K ( C a ) s ∞ ( c ) + g B K b ∞ ( V ).
