Applied Calculus of Variations for Engineers, 2nd Edition

List of notations

Notation Meaning

f(x) Function of one variable

f(x, y),F(x, y) Function of two variables

r Radius of curvature

g Acceleration of gravity

r

Vector in Cartesian coordinates

r

x

First partial derivative with respect to x

r

y

First partial derivative with respect to y

˙r

First parametric derivative

¨r

Second parametric derivative

p Pressure

s Arc length

s(t) One-dimensional spline function

s(u, v) Two-dimensional spline function

y



(x),f



(x)Firstderivative

y



(x),f



(x) Second derivative

n

Normal vector

t

Tangent vector

b

Bi-normal vector

∇ Gradient operator

Δ Laplace operator

κ Curvature

κ

g

Geodesic curvature

κ

n

Normal curvature

κ

m

Mean curvature

δI Variation of int ...