Soon, at several intersections near the coastline, obvious signs appeared, warning people not to approach because the area is under repair.
With this signpost, even if there are visitors who are not afraid of the heat and want to take a walk on the beach, they will be reminded to turn around and look back, and the diversion is completed quietly in this way.
The people who can appear at the sanatorium are generally of high quality, and there are basically no weirdos who would refuse to cooperate. Since they are reminding maintenance, why would they go forward and take risks?
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The sun climbed higher and higher, hiding behind thick clouds, shining down with the scorching heat of summer. However, in this uncomfortable temperature, Wu Tong had forgotten the outside world. His mind was racing, and huge waves surged in Wu Tong's mind... Mathematical symbols and formulas were flying...
Euclidean space... Vectors in three-dimensional space V3 can typically be used to discuss geometric properties such as length and angle. If a = (a1, a2, a3) and β = (b1, b2, b3), then the inner product of the length of a and β is the angle between β and β, β = arccos (assuming both a and β are nonzero vectors). By extension, in an n-dimensional vector space Rn, if a = (a1, ..., an) and β = (b1, ..., bn)
Rules... When we return to fluids, all predictable fluids will, in a sense, be in harmony with the truth of the universe, pluck the strings of variables, and stir up all changes in this world.
Existing mathematical methods have proven difficult to solve for the NS equation, a problem that has plagued mathematicians ever since its inception. Many current solutions often encounter the tragic problem of exploding equations when the time variable is infinitely magnified. The results of these calculations generally conform to normal logic.
Just like water flowing backwards... just like a car on a barrier-free highway, it could suddenly and without warning disintegrate at a certain point in time. Such an absurd possibility. Speeding on the highway will only result in being caught by the traffic police system and being fined, or worse, having your license revoked.
Using Euler's equations to simulate and deduce, where two flows meet, the vorticity of the fluid (the speed and direction of rotation) will increase sharply. This growth rate is very fast and can become infinite in a short time.
This kind of infinity is a singularity, which is exactly what mathematicians want to know for sure whether it exists in the Euler equation and the NS equation... But in this direction, computers cannot calculate the value of infinity.
In other words, it can get very close to seeing the singularity and is an approximate solution, but it is not an exact solution to the singularity.
The NS equation has its solution, and what she wants is the real solution, not the so-called approximation.
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When existing mathematical methods are ineffective, does that mean that there is no way out? No, Wu Tong disagrees. She believes that there is always a way out. If there is no method, then create a mathematical method as a solution to climb this insurmountable mountain.
Momentum is a force that acts on a fluid particle. For the center of a fluid particle, it will be subjected to stress (normal force) and shear force.
The essence of fluid mass conservation, that is, the mass of fluid passing through a fixed area per unit time remains constant... The connection between the laws of fluid motion... Under macroscopic low-speed conditions, the constitutive equations and Newton's second law are used to obtain the governing equations of fluids and solids.
Conservation of momentum, fluid momentum balance... Topological infinity... Nonlinearity, incompressibility, multi-scale...
Wu Tong's contemplation lasted half a day, from the moment the sun first rose to the horizon until it slowly dipped back down. As the setting sun, the stronger sea breeze, and the surging waves shone, Wu Tong's gaze gradually regained clarity. The smile on her lips deepened, and the thread of a breakthrough lay within her heart.
"Sister An, Brother Cai, let's go back!" Wu Tong turned her head to look at An Wenshu who had been guarding her, and Cai Yi who had arrived not far away at some point in time.
"Thank you for keeping me here, we're all sunburned and hungry. Let's go back and replenish our energy. Sister An and Brother Cai, you all should get some extra rest tomorrow. I won't be going out from tomorrow on!"
"Mr. Wu, are you done here?" An Wenshu breathed a sigh of relief when she saw Wu Tong come back to her senses. She unscrewed a bottle of water and handed it to Wu Tong, asking her to sip it slowly and not drink a large amount at once.
In the state of water shortage, a large amount of excess water will cause the osmotic pressure in the blood to drop significantly, and the water in the blood vessels will enter the tissues and cells, and the osmotic pressure in the cells will also drop, resulting in edema. In particular, edema in brain cells can easily cause nausea and vomiting.
All factors that may affect Wu Tong's health must be excluded, not to mention the possibility of damaging Wu Tong's precious brain, which is absolutely prohibited and will never be allowed to exist.
"Yes, a mathematics project has a direction. I may work on it in the near future so that my family can recuperate with peace of mind. If they want to return, please ask Brother Cai to arrange for someone to send them back. I will decide based on the progress of the project!" Wu Tong took advantage of the fact that he had not yet completely entered the state of seclusion to explain things in advance.
Her father is dedicated to his work and is used to it. He probably won't be away from work for a long time. He can leave his uncle's business for a while, but he can't let go for a long time. After mid-August, her mother will also have to prepare for the start of school...
The family members might plan to go home after the novelty wears off, but Wu Tong is not sure whether she will still be contactable by then. She is afraid that her family members will worry and disturb her, so she is unwilling to speak and silently waits for him to waste unnecessary time. Wu Tong specially entrusted him with this task in advance.
The NS equation involves a wide range of issues. Although she currently has a relatively clear direction, it will take some time to completely solve this problem.
Creating tools, completing proof... Wu Tong felt that she had completed this problem in September at breakneck speed. She was too uncertain about the timeframe, and she didn't want her uncertainty to affect her family's normal lives.
"Please prepare plenty of draft paper and pens!" Wu Tong arranged each item one by one. She had originally planned to spend some time with her family and rest, so she hadn't been asked to prepare these things. Unexpectedly, inspiration always strikes unexpectedly. On the day after her birthday, she unexpectedly grasped the inspiration that pierced through the barrier, connecting all the scattered progress and forging a direction for progress.
Once you have inspiration, you must seize it at the right time, so Wu Tong immediately changed his plan.
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