English to Chinese The content is a mathematical physics syllabus

Upstairs machine translation is inaccurate.

As follows: Elementary Logic and Algebra:

Proposition calculus, quantifiers. The Law of Fallacy.

Set and function terms, integers, natural numbers, sets of rational numbers; Permutations and combinations.

Polynomial: Euclidean division.

Properties of the set of real numbers:

Interval, neighborhood, upper boundary.

Sequence: Limit (Cauchy criterion), convergence velocity, recursion like un+1 = f(un).

Numerical functions of real variables: limits and continuity, differentiable, finite delta formulas, monotonic and inverse functions, Taylor's formulas and inequalities, finite expansion, common functions.

Complex number fields: common complex functions (exponential functions, etc.).

Linear algebra: vector spaces, linear maps, bases and dimensions. Matrix, determinant, linear system. Eigenvalues and eigenvectors, eigenpolynomials, diagonalization. Applications and equations of differential systems.

Analysis: Rational functions and their decomposition, basic calculations: integration of finite intervals, numerical methods.

Taylor's formula with integral remainder. Vector functions in 2D and 3D real coordinate systems (excluding metric properties). Parametric curves in two-dimensional and three-dimensional real coordinate systems.

First- and second-order linear differential equations. Points along the line.

Sequences: Real Functions: Sequences of functions and series, integer series, applications of Fourier series. Simple convergence, absolute convergence, consistent convergence. Integrals on real intervals, including parametric integrals. (Fourier, Applications and examples of Laplace series).

Numerical and vector analysis:

Differentiation: Multivariate functions. Applications of partial derivatives and tangents. Binary Taylor's formula: Local extrema are applied. 2 or 3 multi-integral. Formulas for the calculation of continuous integrals and the transformation of coordinates.

Finite Dimensional Euclidean Space :

The product of scalar quantities, norms, standard orthogonal bases, and orthogonalization. Companion array, Hermitt array, general single operator. Introduction to two-dimensional linear space.

Orthogonal basis of two-dimensional linear space, Legendre polynomial, basis of trigonometric functions. Applications of Fourier series. Fourier transform:

Plancherel Equality (This plan... I don't know what it is, you should know it, hehe).

I'm done, good luck!

Elementary logic and algebra.

Proposition calculus, quantifiers. Arguments ad absurdo, through recursion.

Set and function terms, sets, z, and asks: arithmetic and combinations, polynomials: Euclidean votes.

The set of properties r

Intervals, neighborhoods, upper boundaries. Sequence: Limit (Cauchy criterion), convergence speed, recursive UN 1 II f (UN).

Real Variables of Numerical Functions: Limits and Continuity, Differentiable, Finite Deltaic Formulas, Monotonic and Inverse Functions, Taylor's Formulas and Inequality, Finite Expansion, Normal Function.

In complex fields, often complex functions (exponential functions.

Linear Algebra Vector space, linear mapping, foundations, and dimensions. Matrix, determinant, linear system. Eigenvalues and eigenvectors, eigenpolynomials, diagonalization. Applications and equations of differential systems.

Analysis of rational functions and their decomposition, primitive calculations: integrals in closed range intervals, numerical method determination. The Taylor formula has the rest of the whole.

Vector values are actual variables in r2 and functions in r3 (excluding metric attributes). Parameter curve R2 or R3. First, path integration of second-order linear differential equations.

Numerical series in real functions: sequence and function series, the whole series, to the application of Fourier series. Simple, absolute, uniform and normal convergence.

Integration at a true interval, according to the parameters of the integration. Examples and applications (Fourier, Laplace).

Numerical and vector analysis:

Differentiation: Multivariate functions. Partial derivatives and linear tangent applications. Taylor's formula is 2: Apply to local extremums. 2 or 3 variables (functional) multiple integrals. Calculate changes and formulas for continuous variables through ensembles.

Finite Dimensional Euclidean Space :

Scalar products, specifications, standard orthogonal bases and orthogonalization. Accompanied, Hermitt, unified and in normal operation. Space L2 is introduced.

The orthogonal basis is at l2, the basis of the Legende polynomial, the trigonometric function. Application in Fourier series. Fourier transform:

Plancherel equal.

That's how it should be.

Physical SI Units, Spatial Analysis.

Newtonian dynamics: p.

First, the second and third laws, inertial and non-inertial reference frames, conservation laws, forces and potentials, gravity, ** forces, small oscillations.

Liquids: Pressure, hydrostatics, continuity of Euler and Lagrangian median variables, continuity equations, motion of Euler's equations.

The first law of thermodynamics: energetic, working, internal heat. and irreversible processes, secondary reversals, Carnot cycle method. Equation of state, phase change of ideal gas, chemical potential energy, chemical reaction, equilibrium equation, affinity.

Electricity, magnetostatics: electric charge, Coulomb's law, electric field, latentary, Gauss's law, balanced wire, capacitance.

Magnetostatics: magnetic field, ampere's law, Faraday's induction.

Currents: Currents, Ohm's Law, Conductivity, Kirchhoff's Law, Time-Varying Currents, Free and Forced Vibrations, Condensers, Inductances, Complex Impedances, Resonance Circuits.

Maxwell's equations: Lorentz force, plane electromagnetic radiation, light, permanence, refraction, Huyghens principle, diffraction, interference phenomena.

Atomic and Molecular Physics.

Quantum mechanics[m].Beijing: Law, Poulenc's Atom, de Broglie's Relation, Uncertainty Principle, Wave Function, Schrödinger's Equation, Steady State, Quantized Energy.

Structural matters: elements of the hydrogen atom, periodic table, molecules, solids, basic statistical physics.

If you don't have Chinese on the syllabus, you can buy 3,500 words in the bookstore.

One-third of the road is a scalar field that is fixed in size, and plots the value of the function as a height with the remaining spatial coordinates, xand says, that is, as a topographic map. The figure shows the same function of such a map as I (,**,0). Scalar field of the diagram relief map by the equation).

A vector domain vector is a space with magnitude and direction. Vectors are used to describe physical quantities such as velocity, momentum, acceleration, and force, associated with an object. However, when we try to describe a system consisting of a large number of objects (e.g., moving water, snow, rain,......We need to assign a vector to each object.

As an example, let's consider falling snowflakes, as shown in the figure. When it snows, each snowflake moves in a specific direction. Movement of snowflakes can be analyzed by taking a series of **.

At any moment, we can assign the movement characteristics of each snowflake, velocity vector. [No plagiarism].

According to this simple function y = function f(x) = 1 x and the exact following data to 8 decimal places: (,a) Divide the quadratic polynomial p2(x)=a+bx+cx to 3 values.

b) Make sure that the quadratic Lagrangian polynomial is p2(x) that meets these three values, and subtract your result to the final form p2(x)=a+bx+cx.

Consider this simple function y = f(x)= 1 x and create the following data set accurate to 8 decimal places: (,a) combines the quadratic polynomial p2(x)= a+bx+cx into 3 data points.

b) Determine that the quadratic Lagrangian polynomial p2(x) is through these three data points, and subtract the equation you have as the result p2(x)=a+bx+cx.

Think of this simple function y = function f(x) = 1 x and construct the following dataset accurate to 8 decimal places: (, fitting quadratic polynomial p2(ten) = 1 + Benxi Steel + Cathay 2 to 3 data points. (b) Determine that the quadratic Lagrangian polynomial is p2(x) by these three data points, and reduce you as a result in the form p2(x) = 1 + Benxi + Cathay 2.

Andrew Jackson Biography (translate for you when you have time).

Andrew jackson.

Andrew Jackson's life has been fraught with controversy, both as a politician and as a man. Some historians and biographers have relate to this as they try to capture the multifaceted character and public role of the multifaceted character.

The election of Andrew Jackson marked a complete break with the Great Revolution that had run through the early years of the United States. Unlike his six predecessors, Jackson was neither Virginian nor Massachusetts, and his family was not elite. Jackson's experience actually reflected the political energy of the United States at that time, the shift to new areas on the political frontier.

Since then, his remarks have not only represented this emerging frontier, but also represented a deep mass base. His political views were a new form of Thomas Jefferson's republicanism. In his eyes, he represented the interests of the broad masses and was the enemy of the barriers of class, privilege, wealth, and corruption.

And many of the seemingly mild-mannered people in the ** cast a disdainful look at this new group of politicians from the grassroots in the emerging frontier, as "Indian barbarians among the white race" and tried to distance themselves. For example, Albert Gallatin, a Pennsylvania politician in Switzerland, famously described Jackson: "This man is not low, with a rough appearance, a lock of hair hanging down on his face, a long string of hair on his back, and a ** slippery hair at the roots, full of rough marginal politicians."

Gallatin's words were very subtle, but in fact he was carrying a gun and a stick. It was the stereotype of Indians, and even the first person to write a biography of Jackson wrote: "This is a Westerner with a high Indian component."

Jackson was also a prophet, and in the 1828 election, he played a strong, political role, while at the same time showing a vested interest in standing on the outside against political groups, which led to the victory of John Quincy Adams. As a result, Jackson finally set the tone of his populism in the country, and most of the candidates also tried to portray themselves as "Washington outsiders".

Then a scalar function property will be given to a sensation. We show that such a contour map at z = 0 for the initial assessment of the EQ of general aerial survey operations. ( "), i.e.:

I(xy,0)1 3(

2 x2 y 2 x2 yards.

Preliminary evaluation of the scalar field of the contour map general aerial survey operations, through experiments.

2。Presented.

Another way to represent our values is by presenting a scalar field in two dimensions, to a fixed value in the third place. This is the scheme used to illustrate the temperature field data and load. In a diagram similar to the map shows my scalar field (xy, 0).

Different values of me (xy, 0) have different ones.

Color of the map.

Figure a color map of the scalar field for a preliminary assessment of general aerial survey operations, through experiments.