What do the integration limits 5- and 10+ mean in Signals and Systems?

In summary, the conversation is discussing the notation and meaning of limits in an integral, specifically at points where there are discontinuities. The use of + and - subscripts in the limits can indicate the existence of delta functions, but otherwise have no effect. Further clarification is needed for a more accurate understanding of the question.
  • #1
shawrix
18
0
I saw in a question related to Signals and systems that the limits were taken from 5- to 10+ where the signs were in the feet of the numbers..lol..i don't know what you call that. What does this mean?
 
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  • #2
You mean like: $$y=\int_{5_-}^{10_+}f(x)dx$$ ?

Can you provide a reference or a context?
 
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  • #3
This is not a precalc question. I am moving it to the General Math sections.
 
  • #4
This would make more sense if the integral were written like this:

$$\int_{5^+}^{10^-}f(x)dx$$

That would indicate that there were discontinuities at 5 and 10. To evaluate such an integral, you need to break the integral into two integrals, and use limits at the problem points.

As stated in post #1, this doesn't make much sense to me.
 
  • #5
Unless there are delta functions at x = 5 or x = 10, the + or - subscripts on the limits have no effect.
 
  • #6
Before we postulate further on what the question is asking, we should wait for the OP to return to clarify the question.
 

What is meant by "integration limits doubt"?

"Integration limits doubt" refers to the uncertainty or ambiguity surrounding the boundaries or limits of integration in a mathematical integration problem. These limits determine the range of values over which the integration is performed and can greatly affect the accuracy of the final result.

Why is it important to consider integration limits doubt?

Considering integration limits doubt is important because it can impact the accuracy and reliability of the final result. If the limits are not properly defined or if there is doubt surrounding the limits, the integration may not accurately represent the problem at hand and can lead to incorrect conclusions or predictions.

What are some common sources of integration limits doubt?

Integration limits doubt can arise from a variety of sources, such as incomplete or imprecise data, assumptions made in the problem, or errors in the integration method used. It can also occur when dealing with complex or multidimensional integration problems.

How can integration limits doubt be addressed?

Integration limits doubt can be addressed by carefully examining the problem and data, using multiple integration methods to compare results, and considering the potential impact of varying the limits. It may also be helpful to consult with experts or colleagues for their input and to double-check calculations.

What are some potential consequences of ignoring integration limits doubt?

Ignoring integration limits doubt can lead to inaccurate or unreliable results, which can have significant consequences in scientific research and applications. It can also cause confusion and errors in mathematical models and simulations, potentially leading to incorrect conclusions and decisions being made based on the integration results.

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