Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent ...

This procedure applies a solution of equilibrium equations in an incremental iterative form ... updating at each step the tangent stiffness matrix. Unbalanced loads are applied again until it can ...

The Office of the U.S. Trade Representative later confirmed the formula by publishing what appears to be a complex math equation for calculating the tariff rates, but when stripped of its Greek ...

Condition (7) ensures that the matrix in (3) has diagonal form. Let be a unit vector orthogonal to the unit normal vector of the plane, so that Equations (4) hold. A suitable vector is obtained as a ...

The base pressure in the analysis chamber during spectral acquisition was 3 × 10 –7 mBar. Spectra were collected at a takeoff angle of 90° from the plane of the surface. The pass energy of the ...

In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the ...

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical ...