Seek to understand Turkoglu and help to understand the Gaps theorem

I don't like Gru, I like Kobe.

Bapps's theorem :

1. Take any closed region on a plane, its area is s, so that it moves along the plane perpendicular to the region to form a three-dimensional with a volume of v, then the volume of this three-dimensional figure is equal to the distance r traveled by the center of mass multiplied by the area of the region. The expression is v=s·r.

2. If a curve segment of length l is made to be long l, so that it sweeps an area s in the direction perpendicular to the plane in which it is located, then the magnitude of this area is equal to the distance r of the center of mass of the line segment multiplied by the length of the line segment. The expression is s=l·r.

Note: It is the centroid of mass, not the center of gravity, find the centroid of the semicircular face, because the centroid of the same substance (system) is usually not at the same imaginary point as the center of gravity unless the gravitational field is homogeneous.

Understand it this way: each white iron sheet can make a box body and a box bottom, or 3 box bottoms, so one box body is equal to two box bottoms. And because it takes 1 box body and 2 box bottoms to make canned food, the first equation in the solution is easy to understand, whether it is to make a box body and a box bottom, or to make 3 box bottoms, a total of 20 white iron sheets.

However, in order to make full use of the iron sheet and make the box body and the bottom of the box match, the relationship between the box body and the bottom of the box must be twice as much. The body of the box is x, and the bottom of the box is 2x, which is the left side of the second equation. The bottom of the box can be cut x box bodies and the remaining x box bottoms, plus y sheets of white iron can make 3y box bottoms, that is, the right side of the second equation = x + 3y.

So the second equation is the number of the bottom of the box on both sides, only one is based on the box body, and the other is based on the bottom of the box.

It is expected that the body of the box and the bottom of the box will be exactly matched.

This question is too difficult, you and I give it a thumbs up.

Jia Jiguang, I guess it's simply because of his name and Huang Jiguang's Qi that he smashed him, and Brother Qian'er said that the hatred is a burden, in order to make the atmosphere in the field more enthusiastic And this hatred may not include Jia Jiguang

It is Liu Lanfang who is talking about hatred, and it has nothing to do with Jia Jiguang.

The phrase "relieving hatred" is just a burden.

When talking about Yu Qian, Gao Feng, Hou Zhen, and Sun Yue, it is even more hateful.

Join in the fun.

Crosstalk is just a form of entertainment.

The value and meaning of life is given by yourself, and what anyone else imposes on you is not your life, but someone else's life, so if you want to know what life is, only ask your own heart, where your heart goes, is the direction of your life, don't use other people's standards to demand yourself, otherwise you will always be a dancer on the stage, and spend a lifetime to interpret others, which is the biggest sorrow in life!

What suits you is the best, and what can make you feel happy is what guides you in the direction of happiness.

There are three realms in life, looking at the mountains is the mountains, and looking at the water is the water;

Look at the mountains are not mountains, and look at the water is not water;

Look at the mountain or the mountain. Look at the water or the water.

That is to say, a person is pure and flawless at the beginning of his life, when he first knows the world, everything is fresh, what his eyes see is what he sees, and when people tell him that it is a mountain, he knows the mountain; Tell him it's water, and he knows water.

As I grew older and experienced more and more things in the world, I discovered the problems of this world. There are more and more problems in this world, more and more complex, often black and white are reversed, right and wrong are confused, unreasonable travel all over the world, it is difficult to move an inch with reason, good people have no good reward, and evil people live for thousands of years. At this stage, people are angry, unfair, worried, questioning, vigilant, and complex.

People don't want to believe anything easily. At this time, people look at the mountains and sigh, and sigh when they see the water. Mountains are no longer simply mountains, and water is no longer simply water.

Everything is the carrier of people's subjective will, the so-called "good wind with strength, send me to the clouds". If a person stays at this stage of his life, he will suffer this life. People will look at the mountain and look at the mountain, keep climbing, be competitive, compare with others, how to be a person, how to behave in the world, rack their brains, exhaust their organs, and never end and be satisfied.

Because this world is originally a circle, there are people outside the people, there are still heavens outside the sky, the cycle goes on and on, and the green water flows forever. And human life is short and finite, can you go to the eternal and infinite?

Many people reach the end of their lives when they reach the second state of life. Pursue a lifetime of hard work, a life of arrogance, and finally find that you have not achieved your ideals, so you hold a grudge for life. However, some people, through their own practice, have finally raised themselves to the third realm of life.

The mouth suddenly opened, and it returned to nature. At this time, people will concentrate on what they should do and will not have any problems with others. Let your red dust roll, I will be clear from the breeze and the moon.

In the face of complicated and worldly things, laugh at it, and understand what's wrong, at this time, people look at mountains and mountains, and water and water. Exactly: people are human beings, and they don't have to be deliberate to be human beings; The world is the world, and there is no need to deal with the world carefully; That is the real life and life.

Whether it is flowers and trees, or birds, insects and fish, they are all life, and the life of nature is colorful and full of vitality; But nature's phenomena of life are fragile and cannot withstand any trampling, therefore, their lives are worth cherishing.

Human life is more precious, and the world is richer and more magical because of human life.

Every morning, when the morning sun reflects my face, when the birds in the trees wake me up from my dreams, I know that a new day has begun. I would like to thank my mom and dad – they brought me into this world and made me feel the beauty of the world, the lovely life.

We must know how to cherish our lives, such as obeying traffic rules, preventing disasters, not swimming in rivers at will, preventing diseases, and actively participating in physical exercise. For example, if you learn to swim and train your body in a tank, you can escape from danger in case of floods, and you can even go down to the river to save people.

Cherishing life is not only to protect yourself and your life, but also to cherish your time, not to waste your life, to learn more, to do more meaningful things, so that you can live a meaningful life.

I know your old friends, and I thank you for your kindness.

It is also said that (shui) little friends do not mention things, and they are sad for my will.

In the past, there was a tragic death in prison, and now there are wicked people who are hanged.

Persuade friends to fall for this reason, whether it is can be or secretly self-knowing. There are poems about it.

I advise you not to drag too much! It's easy to die early!