Sentences with CLOSED-INTERVAL
Check out our example sentences below to help you understand the context.Sentences
1
"The function is continuous on the closed interval [a, b]."
2
"We need to find the maximum value of the function on the closed interval."
3
"The closed interval [0, 1] is included in the set of real numbers between 0 and 1."
4
"The closed interval notation uses square brackets."
5
"The function is differentiable on the closed interval (a, b)."
6
"We need to evaluate the integral over the closed interval [0, 2π]."
7
"The closed interval [1, 5] contains all real numbers between 1 and 5, including the endpoints."
8
"The closed interval [−3, 3] is symmetric around the origin."
9
"A closed interval is a set of real numbers that includes both endpoints."
10
"The closed interval [a, b] can be divided into infinitely many subintervals."
1
"The closed interval [1,5] contains all real numbers between 1 and 5, including both endpoints."
2
"To prove a function is continuous on a closed interval [a,b], we need to show it is continuous at every point in the interval."
3
"The closed interval [0,1] is often used to represent a probability, where 0 represents no chance and 1 represents certainty."
4
"The closed interval [-10,-5] represents all real numbers between -10 and -5, inclusive."
5
"We can find the absolute maximum and minimum values of a continuous function on a closed interval using the Extreme Value Theorem."
6
"The closed interval [a,b] in calculus is denoted using square brackets to indicate that both endpoints are included."
7
"When plotting points on a number line, a closed interval is represented by shading in the endpoints."
8
"In geometry, a closed interval refers to a line segment that includes its endpoints."
9
"The length of a closed interval [a,b] is given by b - a + 1."
10
"In a closed interval, the left endpoint is always less than or equal to the right endpoint."
11
"To define a closed interval, we need to specify the two endpoints."
12
"The closed interval [2,6] contains the numbers 2, 3, 4, 5, and 6."
13
"The closed interval [0,10] represents values from 0 to 10, including both 0 and 10."
14
"On a closed interval, a continuous function is guaranteed to have a maximum and minimum value."
15
"Theorem: If a function is continuous on a closed interval, then it is bounded on that interval."
16
"In set notation, a closed interval is denoted as [a,b]."
17
"A closed interval can also be represented using inequality notation as a ≤ x ≤ b."
18
"The closed interval [0,1] is commonly used for normalization in data science."
19
"When finding the area under a curve using integration, we often consider a closed interval."
20
"To find the midpoint of a closed interval [a,b], we use the formula (a + b)/2."
1
"The function is continuous on the closed interval [0, 1]."
2
"The closed interval [2, 5] includes all the points between 2 and 5, including both endpoints."
3
"To find the maximum value of the function, we need to evaluate it at the endpoints of the closed interval [−1, 1]."
4
"The closed interval [−π/2, π/2] represents one full period of the sine function."
5
"The solution to the equation lies within the closed interval [2, 5]."
6
"The closed interval [0, 10] covers the entire range of possible values for the variable."
7
"To prove the function is bounded, we need to show that it stays within a closed interval."
8
"The closed interval [a, b] is defined as the set of all real numbers x such that a ≤ x ≤ b."
9
"The theorem states that a continuous function on a closed interval attains its maximum and minimum values."
10
"By analyzing the closed interval [−∞, ∞], we can determine the behavior of the function outside of a specific range."
