17 and the real problem Hilbert Nullstellensatz

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Taken some easier format.

 

I am sure you have such memories

  • Remember high school, you will find two equations $ f = 0 $ and $ g = 0 $ can be cross-$ f ^ 2 + g ^ 2 = 0 $ represented.
  • There Diao exam questions, a solution of the equation with two unknowns, then the card is usually one extreme, or that make up the square with a side equal to zero.
  • Freshman year mid-term exam, said a univariate polynomial must be positive definite square and pluralistic problem is Hilbert 17 issue.
  • Freshman assistant told us, and the product of two square or two squares of four or four square and the product of the square and eight squares of the product or the Tiananmen Square and, after no, this is the so-called one hundred twenty-four eight theorem, in fact, if you do not rely on the second, $ 2 ^ n $, or have similar results, the so-called Pfister form .
  • This is also a little while learning to understand why some of the important norm to see class field theory, take a look at Center simple algebra, it becomes very reasonable.

In short, Zhaohuaxishi.

 

Another: The last memories of the way how to prove Nullstellensatz Nullstellensatz to control reality.

 

 

 

 

 

 

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Origin www.cnblogs.com/XiongRuiMath/p/12297571.html