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In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies there are no abrupt changes in value, known as discontinuities. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to ...
Sep 18, 2021 · Continuous Culture Definition. Continuous culture is a continuous process where nutrients are continually added to the bioreactor and the culture broth (containing cells and metabolites) is removed at the same time. The volume of the culture broth is constant due to a constant feed-in and feed-out rate (i.e consumed nutrients are replaced and ...
Jun 2, 2024 · Continuous is stronger than continual. It denotes that the continuity or union of parts is absolute and uninterrupted, as in a continuous sheet of ice, or a continuous flow of water or of argument. So Daniel Webster speaks of "a continuous and unbroken strain of the martial airs of England."
Continual usually describes an action that is repeated again and again. The difference between these two words is now disappearing. In particular, continual can also mean the same as continuous and is used especially about undesirable things: Life was a continual struggle for them. However, continuous is much more frequent in this sense.
Apr 24, 2022 · A function f: S → [0, ∞) that satisfies ∫Sf(x)dx = 1 is a probability density function on S and then P defined as follows is a continuous probability measure on S: P(A) = ∫Af(x)dx, A ∈ S. Proof. Figure 3.2.2: A continuous distribution is completely determined by its probability density function.
Continuous and continuously describe something that continues without stopping. Continual and continually usually describe an action that is repeated again and again. The difference between these two words is now disappearing. In particular, continual/ continually can also mean the same as continuous/ continuously:
continuity: [noun] uninterrupted connection, succession, or union. uninterrupted duration or continuation especially without essential change.
