[Mathematics] Gamma, Polygamma, Hurwitz Zeta, and Bessel Function Identities

We collect a few basic identities for the gamma and polygamma functions, their link to the Hurwitz zeta function, standard asymptotics for Bessel functions, and a useful Bessel product expansion and inequality for \(J_n(z)\).

Mathematics

[Fluid Mechanics] Continuity and Momentum Equations in Eulerian Form and Their Link to Hydraulic Jumps

We review the Eulerian continuity and Euler momentum equations, clarify the relationship between Eulerian and Lagrangian descriptions via the material derivative, and briefly connect these fundamentals to the physics of hydraulic jumps as transitions between supercritical and subcritical flow.

Fluid Mechanics

casting operators

the c++ casting operators the four c++ casting operators are static_cast dynamic_cast reinterpret_cast const_cast use stati...

Coding

operator type and overloading -part III

move constructor and move assignment operator Take a look at the addition operator + as implemented in demolist12_4. Notice t...

Coding

operator type and overloading -part II

binary operators operators that function on two operands are called binary operators. syntax : 1return_type operator_type (pa...

Coding
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