Alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha alpha.
Beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta beta.
Gamma gamma gamma gamma.
△δδδδδδδδδδδδδδδδδδδδδδδδδδδδδδδδ
εεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεε εεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεε
Zeta Zeta
ηηηηη
Sita Sita
Iota Iota and Taitai
Kappa kappa kappa kappa kappa kappa kappa kappa kappa kappa kappa kappa.
∧λλλλλ
Mu Mu Mumiaomiao
Nunu
ξ ξ Xiksi can plug in.
οοοοοο\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\u\\u\\u\\u\\\u\\\\\u\\\u\\u\\\u
π school
ρ ρ rhorou soft.
Sigma Sigma Sigma Sigma Sigma Sigma Sigma
τ τ τ τ sleeve
υu silon jüsilon Yi Puxi long
Φ Φ Φ fly.
χ χ Zhikai Xi
ψ psi psai Puxi
Omega, omega, omega.
symbol table
symbolic meaning
The square root of i-1
F(x) The value of the function f at the independent variable x.
The sine function value of sin(x) at the independent variable x.
Exp(x) is the exponential function value at the independent variable x, usually written as e x.
The x power of a^x a; The rational number x is defined by the inverse function.
Inverse function of ln x exp x
Ax and x are the same.
Logba is the logarithm of a with b as the base; blogba = a
The cosine function value of cos x is at the independent variable X.
Tan x equals sin x/cos x
Cotangent function value or cotx/sin x.
Seconds x secant contains a value equal to1/cos x.
The value of csc x cotangent function is equal to1/sin X.
Asin x y, the value of the inverse function of the sine function at x, that is, x = sin y.
Acos x y, the value of the inverse function of cosine 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 inverse function of cotangent function at x, that is, x = cot y.
Asec x y, the value of the inverse function of the secant function at x, that is, x = sec y.
Acsc x y, the value of the inverse function of cotangent function at x, that is, x = CSC y.
A standard symbol of θ angle, which refers to radians without specifying, is especially used to represent atan x/y, when x, y and z are used to represent points in space.
I, j and k represent unit vectors in x, y and z directions respectively.
(a, b, c) a vector with elements a, b and c.
(a, b) a vector with elements a and b.
Dot product of (a, b)a and B vectors
Answer? Dot product of vector a and vector b
(a？ B) dot product of a and b vectors
Modulus of |v| vector v
|x| The absolute value of the number x.
∑ stands for sum, usually an index. The lower boundary value is written in its lower part and the upper boundary value is written in its upper part. For example, the sum of j from 1 to 100 can be expressed as: This means that 1+2+...+nm means a matrix or a sequence or something else.
| v> column vector, that is, a vector whose elements are written as columns or can be regarded as a matrix of order k×/kloc-0.
& ltV| is written as a row, or can be regarded as a vector from a matrix of order1× k.
An infinitesimal change of dx variable x, such as dy, dz, dr and so on.
A slight change in the length of ds
ρ variable (x2+y2+z2) 1/2 or the distance from the origin in the spherical coordinate system.
R variable (x2+y2) 1/2 or the distance to the z axis in three-dimensional space or polar coordinates.
The determinant of the matrix m whose value is the area or volume of the parallel region determined by the rows and columns of the matrix.
||||| M|||| The value of determinant of matrix M is area, volume or hypervolume.
Determinant M M
Inverse matrix of M- 1 matrix m
Cross product or cross product of vectors v and w
The angle between θvw vectors v and W.
Answer? Triple product of B×C scalar, determinant of matrix with columns A, B and C.
Unit vector uw in the direction of vector W, that is, w/|w|
The small change of df function f is small enough to be suitable for linear approximation of all related functions.
The derivative of df/dx f with respect to x is also the linear approximate slope of f.
The derivative of the function f to the corresponding independent variable, usually x.
f/？ When x, y and z are fixed, the partial derivative of f to x. Usually, when several other variables are fixed, the partial derivative of f to a variable q is the ratio of df to dq. Anything that may lead to confusion of variables should be made clear.
(? f/？ The partial derivative of f with respect to x when X)|r and z remain unchanged.
Grad f element is the partial derivative of f with respect to x, y and z [(? f/？ x)，(？ f/？ y)，(？ f/？ Z)] or (? f/？ x)i +(？ f/？ y)j +(？ f/？ z)k； The vector field of is called the gradient of F.
Vector operator (? /? x)i +(？ /? x)j +(？ /? X)k, pronounced "del"
Gradient of f f; Its dot product with uw is the directional derivative of F in W direction.
Is the divergence of W vector field W a vector operator? Dot product of the same vector w, or (? wx /？ x) +(？ wy /？ y) +(？ wz /？ z)
Curvature w vector operator? Cross product of the same vector w
X ×w w curl, whose element is [(? fz /？ y) -(？ fy /？ z)，(？ fx /？ z) -(？ fz /？ x)，(？ fy /？ x) -(？ fx /？ y)]
Laplace differential operator: (? 2/? x2) +(？ /? y2) +(？ /? z2)
F "(x) The second derivative of f about x, the derivative of f'(x).
Second derivative of d2f/dx2 f with respect to x
F(2)(x) is also the second derivative of f to x.
The k-order derivative of f (k) (x) and the derivative of f(k- 1) (x)
T unit vector in the tangent direction of the curve. If the curve can be described as r(t), then T = (dr/dt)/|dr/dt|.
Derivative of distance of ds along curve direction
Curvature of κ curve, derivative value of unit tangent vector relative to curve distance: |dT/ds|
Unit vector of N dT/ds projection direction, perpendicular to t.
The unit normal vector of b plane t and n is the curvature plane.
Torsion rate of τ curve: |dB/ds|
gravitational constant
Standard symbol of force in mechanics
Spring constant of k spring
The momentum of the I-th object
Hamiltonian function of H physical system, that is, energy expressed by position and momentum.
Poisson bracket of {Q, H} Q, h
The integral of f(x) is expressed as a function of x.
The definite integral of function f from a to b. When f is positive and a
L(d) is equal to the riemann sum whose subinterval size is d and the left end point of each subinterval value is f.
R(d) is equal to the size of subinterval d, and the value of the right end point of each subinterval is the riemann sum of F ..
M(d) is equal, the subinterval size is d, and the maximum value on each subinterval is the riemann sum of F ..
M(d) is equal to the subinterval size of d, and the minimum value on each subinterval is the riemann sum of f.
+:plus sign (positive number)
-:Minus (negative)
*: Multiply by
* Divided by
=: equal to
≈: approximately equal to
(): parentheses (parentheses)
[]: square brackets
{}: curly braces
∫ Because
∴:therefore
≤: less than or equal to
≥: greater than or equal to
∞: infinity
Lognx: the n power of logx
Xn: the n power of x
F (x): a function of x.
Differential of dx:x
x+y:x+y
(a+b): brackets A and B are closed.
A=b:a equals B.
A≠b:a is not equal to B.
A & gtb:a is greater than B.
A>& gtb:a is much bigger than B.
A≥b: a is greater than or equal to B.
X→∞:x is close to infinity.
X2:x squared
X3:x cube
√ ~ x: the square root of x
Cubic root of 3√~ x:x
3‰: three pimiers
N ∑ I = 1 xi: the sum of x, where x is from1to n.
N ∏ i = 1 xi: the product of x sub i, where i is from1to n.
∫ ab: the integral between a and b
The sign of (1) quantity: I, 2+I, A, X, natural logarithm base E, pi ∏.
(2) Operation symbols: such as plus sign (+), minus sign (-), multiplication sign (× or? ), division sign (÷ or/), union (∩), intersection (∩), radical sign (), logarithm (log, lg, ln), ratio (:), differential (d), integral (∩) and so on.
(3) relational symbols: for example, = is an equal sign, ≈ or ≈ is an approximate symbol, ≠ is an unequal sign, > is a greater than sign,