While nanoscale structural imaging of cells is now possible, a direct recording of chemical composition of these domains is lacking. Here we overcome this challenge by first analytically modeling the ...

A generalized lens equation for weak gravitational fields in Schwarzschild metric and valid for finite distances of source and observer from the light deflecting body is suggested. The magnitude of ...

• Calculate the deflections in stepped shafts more quickly and accurately by combining engineering knowledge with mathematics software. • Use Castigliano’s theorem and the Heavyside step function help ...

A procedure involving spectral Galerkin and integral transformation methods has been developed and applied to treat the problem of the dynamic deflections of beam structure resting on bi-parametric ...

Increasing stiffness, which in return decrease deflection, is depend on Modulus of rupture combine, reinforcement ratio, and applied load magnitude affect.