Gaussian heading

1. What courses did you take about Gaussian distribution in college?

probability theory

2. A friend's child is studying Olympiad Mathematics at Chunhui School, saying that it is using Gaussian Mathematics. We don't understand. How about this course?

There is no clear answer to this situation on the Internet. It's best to investigate and ask yourself, so that you can know the situation more accurately and clearly and make better choices.

3. How about Zhikang one-on-one and Gauss junior high school courses?

The courses in elite junior high schools are also very good. A few days ago, I also attended a lecture on elite education junior high school. The teacher speaks very well, which is especially helpful to parents and children. In particular, many parents in Dongcheng don't seem to pay special attention to Xiaoshengchu and know too little about it, so sometimes it really delays their children's Xiaoshengchu. Listen to this kind of lectures more, so that parents can know more about Xiaoshengchu lectures, and parents can also help their children make plans for Xiaoshengchu in advance. Our children are now in the fifth grade, and we feel that we have missed many opportunities.

4. (Course: Principles of Geographic Information System) Question: Explain the projection commonly used in China and its characteristics.

Gauss-Kruger projection, which is called "Gauss Projection" for short, is also called "Isometric Transverse Elliptical Column Projection". It is a conformal projection between the ellipsoid and the earth plane. According to the condition that the central meridian projection of the projection belt is a straight line with equal length and the equatorial projection is a straight line, the form of the function is determined and the Gaussian-Kruger projection formula is obtained. After projection, except the central meridian and equator are straight lines, all other meridians are curves symmetrical to the central meridian. Imagine an elliptic cylinder passing through the central meridian of the projection belt on an ellipsoid. According to the above projection conditions, the ellipsoid within a certain longitude difference range on both sides of the central meridian is orthographically projected onto the elliptic cylinder. The elliptic cylinder is cut and flattened along the generatrix passing through the north and south poles, which is the Gaussian projection plane. Taking the projection of the intersection of the central meridian and the equator as the origin, the projection of the central meridian as the ordinate X axis and the projection of the equator as the abscissa Y axis, a Gaussian Luger plane rectangular coordinate system is formed.

Gauss-Kruger projection has little deformation in length and area, and the central meridian has no deformation. From the central meridian to the edge of the projection belt, the deformation increases gradually, and the maximum deformation is at both ends of the equator in the projection belt. Because of its high projection accuracy, small deformation and simple calculation (the coordinates of each projection zone are consistent, so long as the data of one zone is calculated, the data of other zones can be applied), its application in large-scale topographic maps can meet various military needs, and it can be accurately measured and calculated on the map.

5. How about one-on-one Gaussian English course?

Gauss math, where I learned English, has a good effect. You can feel it. One-on-one teaching is different.

6. How to design the 6.c+++course? Gauss elimination is an urgent method to solve equations! !

The computer work left by the calculation method is several times more difficult than before. I feel that I have never written such a complicated math problem program!

# include & ltstdio.h & gt

# include & ltstdlib.h & gt

# Define the size range of N 10 // matrix.

/*

* use the calculated x to calculate x forward (called by getx ())

* floating a[][ coefficient matrix]

* the solution of floating-point x [] equation

* number of int I solution

* int n matrix size

* Returns the sum required in the formula.

*/

float getm(float a[N][N]，float x[N]，int i，int n)

{

Floating point m = 0；;

int r；

for(r = I+ 1； r & ltn； r++)

{

m+= a[I][r]* x[r]；

}

Return m;

}

/*

* solve the equation and calculate x.

* floating a[][ coefficient matrix]

* Right-hand entry of floating point b []

* the solution of floating-point x [] equation

* number of int I solution

* int n matrix size

* the I-th solution of regression equation

*/

float getx(float a[N][N]，float b[N]，float x[N]，int i，int n)

{

Floating-point result;

If(i==n- 1) // calculates the value of the last x.

Result = float (b [n-1]/a [n-1] [n-1]);

Else // Calculate other x values (for the sum part of the formula, you need to call the getm () function).

result = float((b[i]-getm(a，x，I，n))/a[I][I])；

Return the result;

}

void main()

{

//float a[N][N] = {{2， 1， 1}，{ 1，3，2}，{ 1，2，2 } }；

//float b[N] = {4，6，5 }；

Floating a [n] [n]; //coefficient matrix

Floating point b [n]; //right item

Floating point x [n]; //the solution of the equation

int i，j，k；

Int n = N// matrix size

/* User manually inputs matrix */

Printf ("Please enter the size of the coefficient matrix:");

scanf("%d "，& ampn)；

Printf ("Please enter matrix values continuously:");

for(I = 0； I & ltn；; i++)

{

for(j = 0； j & ltn； j++)

scanf("%f "，& ampa[I][j])；

}

Printf ("Please enter the correct item:");

for(I = 0； I & ltn；; i++)

{

scanf("%f "，& ampb[I])；

}

/* Display the original matrix */

Printf ("\ nOriginal matrix \ n");

for(I = 0； I & ltn；; i++)

{

for(j = 0； j & ltn； j++)

printf("%f "，a[I][j])；

printf("\t|\t%f\n "，b[I])；

}

printf(" \ n \ n ")；

/* Gaussian elimination */

for(j = 0； j & ltn- 1； j++)

{

for(I = j+ 1； I & ltn；; i++)

{

float m =(float)(a[I][j]/a[j][j])；

for(k = j； k & ltn； k++)

{

a[I][k]= a[I][k]-m * a[j][k]；

}

b[I]= b[I]-m * b[j]；

}

}

/* Display the processed matrix */

Printf ("Gaussian elimination matrix \ n");

for(I = 0； I & ltn；; i++)

{

for(j = 0； j & ltn； j++)

printf("%f "，a[I][j])；

printf("\t|\t%f\n "，b[I])；

}

/* Solve the equation recursively */

for(I = n- 1； I & gt=0; I-)

{

x[i] = getx(a，b，x，I，n)；

}

/* Show the solution of the equation */

Printf ("\ n \ nSolution of equation \ n");

for(I = 0； I & ltn；; i++)

{

printf("x%d = %f\n "，i+ 1，x[I])；

}

}

The test passed under VC6.0.

===================================================================

7. Short stories by ten mathematicians

Say a heavyweight, his name is von Neumann, who once participated in the manufacture of atomic bombs, built the framework of modern computers and made the first reliable modern numerical weather forecast. He is also one of the most outstanding mathematicians in the 20th century. His memory is excellent, and he can quote word for word from 15 years ago's Encyclopedia of British Network or A Tale of Two Cities. At the same time, his mental arithmetic ability is also very strong. Let's learn more about him through several stories.

However, such an interesting and important contributor to the world died young and died in the United States on 1957 at the age of 54. When we use computers and watch the weather forecast now, we must remember that the contributions of these mathematicians and scientists are behind them, and they make the world a better place.

8. When solving problems with Gauss theorem in the electromagnetic field course of university engineering, there will always be a time when "t" (almost like this) matches the capacitance.

"Set" is self =RC in capacitor circuit and l/r in inductor circuit. If all the letters above are brought into the unit, you will find that the unit of "set" is time, because the energy storage time of inductors and capacitors is an exponential function of E, and "set" is the coefficient of time in the index, and its size determines the speed at which the exponential function increases or decreases, that is, the speed at which capacitors or inductive elements store energy. Please refer to the circuit principle for details.

9. Who will introduce the curriculum system of Gao Shuxue?

"Gauss loves learning to provide Chinese, mathematics, English, physical chemistry and biological sciences, and the curriculum system of many disciplines is different. Which topic do you ask?

For example, Gaussian mathematics has four systems: improving ability, strengthening ability, thinking breakthrough and thinking innovation. If you want to know the details, you can call their customer service consultation. "