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Condition for the continuity and differentiablity of a function?
Wiki User
∙ 12y ago
An intuitive answer (NOTE: this is far from precise!)
A function is continuous if you can trace its graph without lifting your pencil from the page. If, additionally, it is smooth everywhere without any jagged edges or abrupt corners, then it is differentiable. It is not possible for a function to be differentiable but not continuous. On the other hand, plenty of functions are continuous without being differentiable.
Wiki User
∙ 12y ago
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What is the difference between tangent continuity and curvature continuity?
Tangent continuity: No sharp angles. Curvature continuity: No sharp radius changes.
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.
What are the rules of continuity of a graph?
If you are looking at a graph and you want to know if a function is continuous, ask yourself this simple question: Can I trace the graph without lifting my pencil? If the answer is yes, then the function is continuous. That is, there should be no "jumps", "holes", or "asymptotes".
What are the answers for IS-547a Introduction to Continuity?
responses is 547.a Introduction to Continuity
What is the conditional expectation function?
It is the integral (or sum) of the joint probability distribution function of the two events, integrated over the domain in which the condition is met.
What is the continuity in mathematics?
Continuity in mathematics is the first derivative equal to zero or the Boundary condition.
Does zero amps indicate continuity across the length of a wire?
Ohms not current (amps) indicate continuity. If you have no continuity then you will read an open line condition (OL on meters). If you have continuity you will have some type of resistance reading in ohms. 0 ohms would indicate continuity 0 amps indicates no current flow.
What function contain a condition or logical test an action to take if the condition is true and an action to take if the condition is false?
The IF function.
What function in MS Excel which checks the logical condition of a statement?
IF function
What are the function of multimeter?
They allow the user to test: Volts (AC and DC), Amps, Ohms and basic continuity.
Explain how DNA replication ensures continuity of form and function one cell generation to the next?
Because DNA is basically the safe of our genetic material, so if a man and woman get all naughty and have a kid, the genes are passed on, so that's continuity of form and function. . :D
What is a function that determines whether a condition is true or false?
A logical function, such as the IF function.
What are the arguments in an if function?
The IF function has 3 arguments. They are the condition, the action to take if the condition is true and the action to take if the condition is false. See the related question below.
State the function of the individual bits of Condition Code Registr?
State the function of the individual bits of Condition Code Registr?
What does a well written SOP provide the Soldier in the absence of leadership?
Continuity
What is the difference between absolute continuity and differential continuity?
What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples
What is the difference between differential continuity and absolute continuity?
What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples
