Projection, Tangent Space, Covariant Derivative and Geodesic Equations

Schwarzschild Solution Differential Equations

Bessel’s equation

Solution by power series

Systems of linear differential equations

particular solution, Undetermined Coefficients, Variation of Parameters, Inverse differential operators, Superposition, G0 is a constant

f(D) is a differential operator with constant coefficients

Differential operators, as polynomial, as linear homogeneous differential function

n-th order linear differential equations, homogeneous linear part, Wronskian test for dependence, particular integral

Second order d2ydx2 differential equations

First order and higher degree, Discriminant, Singular solution, Multiple root

separation, homogeneity, exact differential, Integrating factors, First order linear

Differential equation, Differential form, Ordinary differential equation, Partial differential equation, Order of a differential equation, Degree of a differential equation, Linear differential equation, Singular solutions

Isometric mapping, Envelope, Envelope of A Family of Surfaces, Characteristic of A Family of Surfaces

CONFORMAL MAPS, Isothermic map and isothermal coordinate, Area preserving map

Geodesics curve, Geodesic curvature, Geodesic parallels, Geodesic coordinates, Geodesic torsion, Gauss-Bonnet Theorem

SURFACE CURVATURE: NORMAL, TOTAL AND MEAN CURVATURE, EULER’S THEOREM, MEUSNIER’S THEOREM, Principal directions

Space curve,Tangent vector, Unit tangent vector, Principal normal , Binormal vector, Moving trihedral, Curvature of a space curve, Radius of curvature, Torsion, Frenet Serret formulas

CURVES IN THE PLANE, DERIVATIVE OF ARC LENGTH, CURVATURE, RADIUS OF CURVATURE, CIRCLE OF CURVATURE, EVOLUTE

Schwarzschild solution in R

Christoffel symbols second kind

Ricci tensor

Riemann curvature tensor -- second kind

Christoffel symbols of unit sphere – first kind

Contravariant and covariant components

Surface Normal, Tangent Plane

Einstein Notation

Time jump

Line of Simultaneity

Geometry of Relativity

special relativity

Inventory Based Market Making, from page 172, OPTION TRADING by Euar Sinclair 2010

Leverage Space Trading Model by RALPH VINCE

The Leverage Space Trading Model by RALPH VINCE

Compute GHPR for multiple financial instruments