Symbol |
Meaning |
I |
-Square root of 1 |
F (x) |
The value of the function f at the argument X |
Sin (x) |
The sine function value at the Independent variable X |
EXP (x) |
The exponential function value at the independent variable x, often written ex |
A^x |
The X-second side of a, the rational number x is defined by the inverse function |
ln x |
Inverse function of exp x |
Ax |
With A^x |
Logba |
logarithm of B as base A; Blogba = a |
Cos x |
The value of the cosine function at the independent variable X |
Tan x |
Its value equals sin x/cos x |
Cot x |
The value of the cotangent function or cos x/sin x |
SEC x |
Secant the value of a number that is equal to 1/cos x |
csc x |
The value of the remaining cut function, whose value equals 1/sin x |
ASIN X |
Y, the value of the inverse function of the sine function at x, i.e. x = sin y |
ACOs X |
Y, the value of the cosine function inverse function at x, that is, x = cos y |
Atan x |
Y, the value of the inverse function of the tangent function at x, that is, x = Tan y |
Acot x |
Y, the value of the cotangent function inverse function at x, that is, x = cot y |
ASEC X |
Y, the value of the secant function inverse function at x, that is, x = sec y |
ACSC x |
Y, the value of the inverse function of the remaining cut function at x, that is, x = csc y |
Theta |
A standard symbol of an angle, not indicating radians, especially to denote Atan x/y, when x, Y, and Z are used to represent points in space |
I, J, K |
Represents the unit vector in the x, Y, z direction, respectively. |
(A, B, c) |
Vectors with a, B, and C as elements |
(A, B) |
Vectors with A and B as elements |
(A, B) |
Dot product of A and B vectors |
A b |
Dot product of A and B vectors |
(a B) |
Dot product of A and B vectors |
|v| |
Modulo of the vector v |
|x| |
The absolute value of number X |
Σ |
Represents a sum, usually an index. The lower boundary value is written at the lower part, and the upper boundary value is written on the upper part. such as J from 1 to 100 and can be expressed as:. This means 1 + 2 + ... + N |
M |
Represents a matrix or series or other |
|v> |
A column vector, that is, an element being written as a column or a vector that can be viewed as a kx1 order matrix |
<v| |
To be written as a line or as a vector from a 1xk-order matrix. |
Dx |
An infinitesimal change in variable x, dy, dz, Dr, and similar |
Ds |
Small changes in length |
ρ |
Variable (x2 + y2 + z2) 1/2 or the distance from the original point in the spherical coordinate system |
R |
The distance from the variable (x2 + y2) 1/2 or three-dimensional space or polar coordinates to the z axis |
| m| |
The determinant of a matrix m, whose value is the area or volume of a parallel region determined by the row and column of the Matrix. |
|| m| | |
The value of the determinant of a matrix m, as an area, volume, or Super volume. |
Det M |
The determinant of M |
M-1 |
Inverse matrix of matrix M |
Vxw |
Vector product or cross product of Vector V and W |
Θvw |
The angle between the vector V and W |
A BXC |
Scalar triple product, determinant of matrices with a, B, and C columns |
Uw |
The unit vector in the vector w direction, i.e. w/|w| |
Df |
Minor changes in function f, small enough to fit the linear approximation of all related functions |
Df/dx |
F about the derivative of x and also the linear approximate slope of f |
F ' |
function f about the derivative of the corresponding argument, the independent variable is usually X |
∂f/∂x |
Y, Z fixed when f on the partial derivative of x. The partial derivative of f on a variable q is usually the ratio of DF to DQ when other variables are fixed. Any place that might cause a variable to be confused should be clearly stated |
(∂f/∂x) |r,z |
Keep R and Z unchanged, F on the partial derivative of x |
Grad F |
The elements are f about X, Y, z partial derivatives [(∂f/∂x), (∂f/∂y), (∂f/∂z)] or (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k; The vector field, called the gradient of F |
∇ |
Vector operator (∂/∂x) i + (∂/∂x) j + (∂/∂x) K, read as "Del" |
∇f |
The gradient of F; its and uw dot product is the directional derivative of f in w direction |
∇ W |
Divergence of the vector field W, for the vector operator ∇ the dot product of the same vector W, or (∂wx/∂x) + (∂wy/∂y) + (∂wz/∂z) |
Curl W |
Vector operators ∇ The cross product of the same vector W |
∇xw |
The curl of the W, its elements are [(∂fz/∂y)-(∂fy/∂z), (∂fx/∂z)-(∂fz/∂x), (∂fy/∂x)-(∂fx/∂y)] |
∇ ∇ |
Laplace differential operator: (∂2/∂X2) + (∂/∂y2) + (∂/∂Z2) |
F "(x) |
F about the second derivative of X, the derivative of f ' (x) |
D2f/dx2 |
F about the second derivative of X |
F (2) (x) |
It is also the second derivative of F about X |
F (k) (x) |
F about the K-order derivative of x, the derivative of f (k-1) (x) |
T |
The unit vector on the tangent direction of the curve, if the curve can be described as R (t), then T = (DR/DT)/|dr/dt| |
Ds |