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Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements.
I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.
What else can I help you with?
Is a function that is continuous over a finite closed interval not have a maximum or a minimum value over that interval?
A function that is continuous over a finite closed interval must have both a maximum and a minimum value on that interval, according to the Extreme Value Theorem. This theorem states that if a function is continuous on a closed interval ([a, b]), then it attains its maximum and minimum values at least once within that interval. Therefore, it is impossible for a continuous function on a finite closed interval to not have a maximum or minimum value.
Differentiate a closed interval from an open interval?
Open interval does not include its end points while closed interval includes
Will you find the number 89 in the interval 79-89?
Yes, if it is the closed interval. No, if it is the open interval.
What are the limitation of the probability?
Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].
Why do not you closed the interval mat with infinity?
Because infinity is not a number.
Is a function that is continuous over a finite closed interval not have a maximum or a minimum value over that interval?
A function that is continuous over a finite closed interval must have both a maximum and a minimum value on that interval, according to the Extreme Value Theorem. This theorem states that if a function is continuous on a closed interval ([a, b]), then it attains its maximum and minimum values at least once within that interval. Therefore, it is impossible for a continuous function on a finite closed interval to not have a maximum or minimum value.
Differentiate a closed interval from an open interval?
Open interval does not include its end points while closed interval includes
Will you find the number 89 in the interval 79-89?
Yes, if it is the closed interval. No, if it is the open interval.
What are the limitation of the probability?
Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].
What includes least and greatest value?
A closed interval.
Will The finite population correction factor lead to a wider confidence interval?
No since it is used to reduce the variance of an estimate in the case that the population is finite and we use a simple random sample.
Why do not you closed the interval mat with infinity?
Because infinity is not a number.
What does closed 2 mean?
In an interval it means that the 2 is included.
What is the time limited signal?
A time limited signal is one that is nonzero only for a finite length time interval.
What does the compacity mean in math?
In mathematics, "compacity" is likely a typographical error and may refer to "compactness." Compactness refers to a property of a space in topology where every open cover has a finite subcover. In simpler terms, a space is compact if it is both closed and bounded, such as a closed interval in the real numbers. Compactness is an important concept in analysis and other areas of mathematics, as it often leads to the ability to extend results from finite-dimensional spaces to more general settings.
What is the kinds of sets?
Closed sets and open sets, or finite and infinite sets.
What is kind of set?
Closed sets and open sets, or finite and infinite sets.
