Gauss math, where I learned English, has a good effect. You can feel it. One-on-one teaching is different.
B. (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.
C. Mathematical celebrity stories
1. Archimedes, an ancient Greek scholar, died at the hands of the Roman enemy who attacked Sicily. He was in the Lord before he died: "Don't break my circle". To commemorate him, people carved the figure of the ball carved on the cylinder on his tombstone to commemorate his discovery that the volume and surface area of the ball are two-thirds of that of the circumscribed cylinder.
Galois was born in a town not far from Paris. His father is the principal of this school and has served as the mayor for many years. The influence of family makes Galois always brave and fearless. 1823, 12-year-old galois left his parents to study in Paris. Not content with boring classroom indoctrination, he went to find the most difficult mathematics original research by himself. Some teachers also helped him a lot. Teachers' evaluation of him is "only suitable for working in the frontier field of mathematics".
3. The famous German scientist Gauss (1777 ~ 1855) was born in a poor family. Gauss learned to calculate by himself before he could speak. When he was three years old, he watched his father calculate his salary one night and corrected his father's calculation mistakes. When he grew up, he became the most outstanding astronomer and mathematician of our time. He made some contributions to physics electromagnetism, and now a unit of electromagnetism is named after him. Mathematicians call him "the prince of mathematics".
4./kloc-Rudolph, a German mathematician in the 6th century, spent his whole life calculating pi to 35 decimal places, which became Rudolph's number. After his death, someone else carved this number on his tombstone.
5. Jacques Bernoulli, a Swiss mathematician, studied the spiral (known as the thread of life) before his death. After his death, a logarithmic spiral was carved on the tombstone, and the inscription also said, "Although I have changed, I am the same as before." This is a pun, which not only describes the essence of spiral, but also symbolizes his love for mathematics.
6. Von Neumann is one of the most outstanding mathematicians in the 20th century, which is well known. The electronic computer he invented in 1946 greatly promoted the progress of science and technology and social life. In view of his key role in the invention of electronic computers, von Neumann is praised as "the father of computers" by westerners. 1911-1921von Neumann made his mark when he was studying in Lu Se Lun Middle School in Budapest, and was highly valued by teachers. Under Fichte's individual guidance, he co-published his first mathematical paper, when von Neumann was less than 18 years old.
D. 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.
E. A friend's child is studying Olympiad Mathematics at Chunhui School, saying that it uses Gauss 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.
F. Please share the college physics curriculum resources of Gauss class. Thank you!
Hello, I'm Fuerya, and I love dancing. I'll make a network disk to share with you. Click to save, and the link will remain valid forever _ link:
//Translation. /s/1cxsghlzldorru2vkwrggq extraction code: jiu3.
After copying these contents, it is more convenient to open the network disk mobile App.
G. What courses did you take about Gaussian distribution in college?
probability theory
H. who introduces the curriculum system of Gao study room?
"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. "
1. 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.
J. Seeking the curriculum design of C language: solving linear equations by Gaussian column principal component elimination method
On the basis of the code provided by the big brother above, I made a little modification. The running result can display not only the value of x, but also the upper triangular matrix transformed by the eliminated coefficient matrix. The code is as follows:
# include & ltstdio.h & gt
# include & ltstdlib.h & gt
# include & ltconio.h & gt
# include & ltmath.h & gt
# Define the order of n 4/* equation */
# Definition accuracy 1e- 16
Static double aa[n][n+ 1]={{7.2, 2.3, -4.4, 0.5,1}, {1.3, 6.3, -3.5, \
2.8, 1.8},{5.6,0.9,8. 1,- 1.3, 16.6},{ 1.5,0.4,3.7,5.9,36.9}};
/* The original data of the extended matrix */
void main()
{int i, j, det double a[n+ 1][n+2], x [n+1];
int GaussElimination _ column select()；
clr SCR()；
for(I = 1； I < = n; i++)for(j = 1； j & lt= n+ 1； j++)
/* use A [1] ~ A [N] [N+ 1] to store the augmented matrix */
a[I][j]= aa[I- 1][j- 1]；
det = GaussElimination _ column select(a，x)；
/* Call the function that solves the equation to get the return flag value */
if(det！ =0)
for(I = 1； I < = n; i++)
printf("\nx[%d]=%f\n "，I，x[I])； printf(" \ n ")；
getch()；
}
int GaussElimination _ column select(double a[][n+2]，double x[n+ 1])
/* The function of solving linear equations with column principal component gauss elimination */
{int i，j，k，r；
Double c;
for(k = 1； k & lt= n- 1； K++) /* Elimination process */
{ r = k；
for(I = k； I < = n; I++) /* Select column elements */
if(fabs(a[I][k])& gt； fabs(a[r][k])r = I；
if(fabs(a[r][k])& lt； Accuracy)
{printf("\n det A=0。 Elimination failed! ”); Exit (0); }
if(r！ =k)
{ for(j = k； j & lt= n+ 1； J++) /* Exchange K line and R line */
{ c = a[k][j]； a[k][j]= a[r][j]； a[r][j]= c； }
}
for(I = k+ 1； I < = n; I++) /* Perform elimination calculation */
{ c = a[I][k]/a[k][k]；
for(j = k； j & lt= n+ 1； j++)
a[I][j]= a[I][j]-c * a[k][j]；
}
}
Printf ("After modification, the matrix is:: \ n");
for(I = 1； I < = n; i++){
for(j = 1； j & lt= n； j++){
printf("%f\t "，a[I][j])；
if(j % n = = 0)printf(" \ n ")；
}
}
if(fabs(a[n][n])& lt； Accuracy)
{printf("\n det A=0。 Algorithm failed! ”); Exit (0); }
for(k = n； k & gt= 1; K-)/* Retrograde process */
{ x[k]= a[k][n+ 1]；
for(j = k+ 1； j & lt= n； j++)
x[k]= x[k]-a[k][j]* x[j]；
x[k]= x[k]/a[k][k]；
}
Returns (1);
}