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Selected Mathematics Works in Senior High School
Case English phonetic notation International phonetic notation Chinese phonetic notation α α α α α α α α α α α α β β γ. γ δ δ δ δ ε ε ε ε ε ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ ζ 95 Xikessai Om Icron omikron Omicron π pipai issued ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ ρ Psai Puxi Ω Ω sign square root f (X) Function value at independent variable x sin(x) Sin function value at independent variable x exp(x) Exp function value at independent variable x is often written as the x power of exa^x a; The rational number x is defined by the inverse function, and the logarithm of the inverse function ax of ln x exp x and a^xlogba is based on b; The value of cosine function tan x of blo GBA = acos x at independent variable x is equal to the value of sin x/cos xcot x cotangent function or the value of cos x/sin xsec x secant content is equal to 1/cos xcsc x cotangent function is equal to 1/ The value of the inverse function of sin xasin x y sine function at x is x = sin yacos x y, the inverse function of cosine function at x is x = cos yatan x y, the inverse function of tangent function at x is x = tan yacot x y, and the inverse function of cotangent function at x is x = cot yasec x y, The inverse function of secyacsc x y of secant function at x, and the value of inverse function of cotangent function at x, that is, the standard symbol of angle x = csc yθ, without indicating radian, is specially used to represent atan x/Y. When X, Y and Z are used to represent points in space, I, J and K respectively represent unit vectors in X, Y and Z directions (A, B and Z). B) the dot product of vectors a and b |v| the modulus of vector V |x | the absolute value ∑ of number x represents sum, usually an exponent. 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 stands for a matrix or series or other | v >;; A column vector, that is, a vector whose elements are written as columns or can be regarded as a matrix of order k× 1 < V|, is written as a row or can be regarded as a vector dx variable x from 1×k, dy, dz, Dr and other similar minor changes, such as the length of ds ρ variable (x2+y2+z2) 1/2 or the distance to the origin variable in the spherical coordinate system (x2+y2) 1/2 or the distance to the Z axis in the three-dimensional space or polar coordinates |M| The determinant of matrix M, whose value is the area or volume of the parallel area determined by the rows and columns of the matrix || m. It is the cross product or θvw of the inverse matrix v×w vector V and W of the determinant M- 1 matrix M of the scalar triple product of an area, volume or hypervolume detm M M B×C, and it is the unit vector of the determinant uw of a matrix in the direction of vector W, that is, the slight change of w/|w|df function F, which is small enough to apply to the linearity of df/dx f about X of all related functions. 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. Any place that may lead to variable confusion should be made clear (? f/? X)|r, z when r and z are constant, the partial derivatives of f to the elements of x gradient are the partial derivatives of f to x, y and z respectively [(? f/? x),(? f/? y),(? f/? Z)] or (? f/? x)i +(? f/? y)j +(? f/? z)k; The vector field of f 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, and the divergence of vector field W is a vector operator. Dot product of the same vector w, or (? wx /? x) +(? wy /? y) +(? wz /? Z)curl 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) +(? /? The second derivative of z2) f "(x) f about x, the second derivative of f'(x)d2f/dx2f about x f(2)(x) is also the second derivative of f about x f(k)(x) f about x, and f(k- 1) (x). Then T = (dr/dt)/|dr/dt|ds, the curvature of the derivative κ curve of the distance along the curve direction, the value of the derivative of the unit tangent vector with respect to the curve distance: |dT/ds|N dT/ds, the unit normal vectors perpendicular to the TB plane t and n, that is, Torsion of the plane τ curve of curvature: |dB/ds|g Gravitational Constant F The standard symbol of force in mechanics K spring spring constant π momentum H The I-th object Hamiltonian function of the physical system, that is, the energy {Q, H} Q, H} q and the definite integral of the integral function F of poisson bracket f(x) expressed in the form of a function about X, when F is positive and A.

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,