Is There a Better Name for the Anti-Limit Problem?

  • Thread starter bernhard.rothenstein
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In summary, the function F(u,c,V) has two solutions, as known by physicists. The first solution is F(u,V,c)=[1+V/u]/sqrt(1-V^2/c^2) and the second solution is F(u,V,c)=[1+Vu/c^2]sqrt(1-V^2/c^2). These solutions are not determined, as any continuous function g that vanishes at u=v can be added to them. The function also involves an 'anti-limit' operation, which has no specific name in mathematics. Some physicists suggest using relativistic additives to improve the function.
  • #1
bernhard.rothenstein
991
1
Consider please the function F(u,c,V). Find out its algebraic structure knowing that its limit for u=c is sqrt[(1+V/c)/(1-V/c)].
Hint: Physicists know two solutions of it
F(u,V,c)=[1+V/u]/sqrt(1-V^2/c^2)
F(u,V,c)=[1+Vu/c^2]sqrt(1-V^2/c^)
(Is it a consacrated name for the problem? I used anti-limit for it)
Thanks in advance
 
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  • #2
sorry for my ignorance..but what is an 'anti-limit' ?? .. of a certain function.
 
  • #3
anti-limit problem

Klaus_Hoffmann said:
sorry for my ignorance..but what is an 'anti-limit' ?? .. of a certain function.
I am not a matematician and so I do not know an adequate term for the opperation which leads from the limit of a function to the function. Do you know a better name for it?
 
  • #4
The solution is not determined, since if f is an solution, and g is any continuous function vanishing at u=v, then f+g is also a solution.
 
  • #5
anti-limit

DeadWolfe said:
The solution is not determined, since if f is an solution, and g is any continuous function vanishing at u=v, then f+g is also a solution.

Would some relativistic additives help like u<c, u appears only at the first power...). Is there a better name for anti-limit? Thanks
 

FAQ: Is There a Better Name for the Anti-Limit Problem?

What is an anti-limit problem?

An anti-limit problem is a mathematical concept that involves finding the value of a limit that approaches a specific point or value from the opposite direction. It is the opposite of a traditional limit problem, which involves finding the value of a limit as it approaches a point from the given direction.

How is an anti-limit problem different from a traditional limit problem?

Unlike a traditional limit problem, an anti-limit problem involves approaching a point or value from the opposite direction. This means that the value of the limit will be different depending on which direction it is approached from.

What are some common examples of anti-limit problems?

One common example of an anti-limit problem is finding the limit of a function as x approaches a certain value from the left and right sides. Other examples include finding the limit of a function as it approaches infinity or negative infinity, or finding the limit of a piecewise function at a specific point.

How do you solve an anti-limit problem?

To solve an anti-limit problem, you must first understand the rules and properties of limits, such as the limit laws and the squeeze theorem. Then, you must carefully analyze the function and determine the value of the limit as it approaches the given point or value from the opposite direction.

Why are anti-limit problems important in mathematics?

Anti-limit problems are important in mathematics because they allow us to better understand the behavior of functions and their limits. They also have many real-world applications, such as in physics and engineering, where understanding how a function approaches a certain value is crucial in solving problems and making predictions.

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