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Bounded Interval শব্দের বাংলা অর্থ: বেষ্টিত ব্যবধান
Bounded Interval Meaning In Bengali বেষ্টিত ব্যবধান
Bounded Interval
Definition
1) In mathematics, a bounded interval refers to a range of real numbers between two specific values, where both the lower and upper bounds are included in the interval. For example, the interval [1, 5] includes all real numbers from 1 to 5, including 1 and 5.
2) A bounded interval can also be defined as a closed interval, where the endpoints are finite numbers and are part of the interval itself. This is in contrast to open intervals, where the endpoints are not included in the interval.
3) In the context of set theory, a bounded interval is a subset of real numbers that lies between two specified values. This concept is often used in calculus and other branches of mathematics to describe specific ranges of numbers within a given set.
Examples
Bounded Interval Example in a sentence
1) The bounded interval [2, 5] includes all real numbers between 2 and 5, including 2 and 5.
2) A bounded interval is a set of values within a certain range, such as [0, 10].
3) The bounded interval (−3, 4] includes all real numbers greater than -3 and less than or equal to 4.
4) In mathematics, a bounded interval can be open, closed, or half-closed depending on the endpoints.
5) The bounded interval [1/2, 3/4) includes all real numbers greater than or equal to 1/2 but less than 3/4.
6) The function is continuous on the bounded interval [−2, 2].
7) We need to find the maximum and minimum values of the function on the bounded interval [0, 1].
8) The bounded interval [−π, π] represents one complete rotation around the unit circle in trigonometry.
9) The bounded interval [7, 10] is commonly used to represent a range of values in statistics.
10) When graphing a bounded interval on a number line, we use brackets or parentheses to indicate inclusion or exclusion of endpoints.
Part of Speech
Bounded Interval (Noun)
Synonyms
Encyclopedia
In mathematics, a bounded interval refers to a range of real numbers between two specific values, where both the lower and upper bounds are included in the interval. For example, the interval [1, 5] includes all real numbers from 1 to 5, including 1 and 5.
A bounded interval can also be defined as a closed interval, where the endpoints are finite numbers and are part of the interval itself. This is in contrast to open intervals, where the endpoints are not included in the interval.
In the context of set theory, a bounded interval is a subset of real numbers that lies between two specified values. This concept is often used in calculus and other branches of mathematics to describe specific ranges of numbers within a given set.
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