Mathematics symbol and reading law encyclopedia

Source: Internet
Author: User
Tags cos sin square root

Mathematics symbol and reading law encyclopedia

Common mathematical input symbols: ≈≡≠=≤≥< >≮≯∷±+-x÷/∫∮∝∞∧∨∑∏∪∩∈∵∴⊥‖∠⌒≌∽√ () "" {}ⅰⅱ⊕⊙∥αβγδεζηθδ

Capital

Lowercase

English phonetic notation

Phonetic symbols of the IPA

Chinese phonetic notation

Alpha

Alpha

Alpha

Alfa

O-Ear method

Beta

Beta

Beta

Beta

Beta Tower

Gamma

Gamma

Gamma

Gamma

Gamma Horse

Deta

Delta

German Ear Tower

Ε

Ε

Epsilon

Epsilon

Epsilon

Ζ

ζ

Zeta

Zeta

Cutting tower

Η

η

Eta

Eta

Etta

Theta

Theta

Theta

Θita

Theta

Ι

ι

Iota

Iota

Jota

Κ

κ

Kappa

Kappa

Capa

Lambda

Lambda

Lambda

Lambda

Μ

Μ

Mu

Miu

Bartholomew

Ν

ν

Nu

Niu

Button

Ξ

Ξ

Xi

Ksi

Can plug

0

ο

Omicron

Omikron

Austrian secret can Rong

Pi

Pi

Pai

Sent

Ρ

ρ

Rho

Rou

Soft

Σ

Sigma

Sigma

Sigma

Τ

τ

Tau

Tau

Sets

Gamma

Gamma

Upsilon

Jupsilon

Clothing Poussillon

Φ

Φ

Phi

Fai

Phileas

Χ

χ

Chi

Khai

Hi

Ψ

Ψ

Psi

Psai

Poussy

Omega

Omega

Omega

Omiga

Naomi

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

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