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A 1-dimensional interval (a, b) is continuous if for any k in (0, 1) the point a + k*(b-a) = a*(1-k) + k*b is also in the interval.
This is equivalent to the statement that every point on the line joining a and b is in the interval.
The above can be extended to more dimensions analogously.
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What is continuous variate?
A variable defined on a continuous interval as opposed to one that can take only discrete values.
Is GPA interval data?
Yes, it is a Continuous variable measured along an equidistant scale.
Linear discrete time signal?
The linear discrete time interval is used in the interpretation of continuous time and discrete valued: Quantized signal.
Does Percentage belong to interval continuous data type?
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What is the definition of continuity of the function and how do you determine a function is continuous?
There are several different ways of defining continuity. The following is based on work done by Bolzano and Weierstrass.A function f(x), of a variable x is continuous at the point c if, given any positive number e, however small, it is possible to find d such thatf(c) - e < f(c) < f(c) + efor ALL x in c - d < x < c + d.In simpler terms, it is possible to find an interval around x such that for ALL values of x' in that interval, the value of the function, f(x'), is close to f(x).Determining continuity visually, it is easy: if the function can be drawn without lifting your pencil, then it is continuous and if you cannot, it is not.
Is it true that a continuous function that is never zero on an interval never changes sign on that interval?
Yes.
What is continuous variate?
A variable defined on a continuous interval as opposed to one that can take only discrete values.
What kind of continuous function can change sign but is never zero?
If the function is continuous in the interval [a,b] where f(a)*f(b) < 0 (f(x) changes sign ) , then there must be a point c in the interval a<c<b such that f(c) = 0 . In other words , continuous function f in the interval [a,b] receives all all values between f(a) and f(b)
Is GPA interval data?
Yes, it is a Continuous variable measured along an equidistant scale.
Prove that if the definite integral is continuous on the interval ab then it is integrable over the interval ab sorry that I couldn't type the brackets over ab because it doesn't allow?
why doesn't wiki allow punctuation??? Now prove that if the definite integral of f(x) dx is continuous on the interval [a,b] then it is integrable over [a,b]. Another answer: I suspect that the question should be: Prove that if f(x) is continuous on the interval [a,b] then the definite integral of f(x) dx over the interval [a,b] exists. The proof can be found in reasonable calculus texts. On the way you need to know that a function f(x) that is continuous on a closed interval [a,b] is uniformlycontinuous on that interval. Then you take partitions P of the interval [a,b] and look at the upper sum U[P] and lower sum L[P] of f with respect to the partition. Because the function is uniformly continuous on [a,b], you can find partitions P such that U[P] and L[P] are arbitrarily close together, and that in turn tells you that the (Riemann) integral of f over [a,b] exists. This is a somewhat advanced topic.
What is the formula to determine the acceleration of an object moving in a strait line?
Acceleration = (speed at the end of some time interval minus speed at the beginning of the interval)/(length of the time interval)
What part of a map allows you to determine the type of information it contains?
The contour interval
How do you find the contour interval on the map?
Notice the pattern around that contour line. Then determine the interval that the surrounding contour lines are increasing or decreasing by. Ex. 50 100 150 200, the contour interval would then be 50
Is there a formulaic method of finding the number of real roots of an arbitrary continuous function over a specified interval?
sorry but are gone mad
Difference between interval training and continuous training?
Interval training is periods of work followed by periods of rest. This is known as work:rest ratio. This is commonly used to train the anaerobic energy system. Continuous training, of which there are many forms does not involve rest periods, although it could involve periods of different intensities (such as Fartlek training).
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On the request of the owner a continuous survey may be carried out on the hull which all compartment of the hull are opened for survey and testing in rotation, with a five year interval between examination of each part.
How can you find size of class interval 25-31?
56
