| 词汇 | example_english_inverse-function |
| 释义 | Examples of inverse functionThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Figure 6 shows that this inversefunction was also subject to considerable individual variation. This inversefunction described (log-)time since last infection as a function of (log-)titre. The fitness function is then chosen as an inversefunction of this total error. The violin amplitude is also separately tracked and used as an inversefunction for the analysis frequency scale. Lexical similarity was a critical inversefunction of contextual discriminability for 5 synonyms. The proof is a simple application of the inversefunction theorem and the chain rule. A function for each component is provided, rather than a single inversefunction, in order to avoid building structures when extracting components. An inversefunction of the passage number provided the best fit to the experimental data : l m\\t. Each case was then automatically given a predicted value, and the weight variable was calculated as an inversefunction of these predicted values. This finding was probably due to the slight downward bias in the second moments; the degree of bias is an inversefunction of the number of clusters. An inversefunction theorem with application to dynamical systems. Further, the value of the inversefunction of a function with one variable x will be the input value of x required in the walks we discovered. An inversefunction would output which child was born in a given year. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This notion is not to be confused with finding the inversefunction of the direct variation function. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Mathematically a bijective function is used on the characters' positions to encrypt and an inversefunction to decrypt. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The important difference from calculus is that the inversefunction theorem fails. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Hence, the range of the inversefunction is only half a full circle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Such functions do not have an inversefunction, but they do have an inverse relation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A continuous function with a continuous inversefunction is called a homeomorphism. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Using implicit differentiation and then solving for "dy" / "dx", the derivative of the inversefunction is found in terms of "y". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In this use it has the inversefunction of quotation marks, denoting actions where unmarked text is assumed to be dialogue. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Then we can define an inversefunction that is also one-to-one. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, there are versions of the implicit and inversefunction theorems for such functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The inversefunction is the natural logarithm ln ("x"); because of this, some old texts refer to the exponential function as the antilogarithm. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Another example is the "p" -adic logarithm, the inversefunction of the "p" -adic exponential. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, the logarithm of a matrix is the (multi-valued) inversefunction of the matrix exponential. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. When it exists, the inversefunction is uniquely determined by and is denoted by, read "f inverse". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Surprisingly, the inversefunction of an algebraic function is an algebraic function. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Writing "x" as a function of "y" gives the inversefunction, also an algebraic function. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is thus a generalization of the scalar logarithm and in some sense an inversefunction of the matrix exponential. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This means that the inversefunction will only give values in the domain of the function, but restricted to a single period. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. As sine is non-injective, it is not an exact inversefunction but a partial inversefunction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The theorem also gives a formula for the derivative of the inversefunction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A bijective continuous function with continuous inversefunction is called a "homeomorphism". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The inversefunction theorem ensures that a submersion satisfies this condition. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Existence, however, requires using the change of variables formula, the inversefunction theorem (locally) and a partition of unity argument; see. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The notation comes by analogy with that for an inversefunction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Reports the arc tangent (the inversefunction of the tangent) of its input. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The inversefunction theorem can be generalized to functions of several variables. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Such an inversefunction exists if and only if "f" is bijective. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Intuitively, an inversefunction is obtained from "f" by interchanging the roles of the dependent and independent variables. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is guaranteed to hold if is continuously differentiable by the inversefunction theorem. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For clarity, by "inverse" is meant "inverse homomorphism" or "inverse morphism" respectively, not "inversefunction". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is the inversefunction theorem. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In fact, if an open map "f" has an inversefunction, that inverse is continuous, and if a continuous map "g" has an inverse, that inverse is open. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Rounding these downward to an integer gives categories between very round numbers, rounding them to the nearest integer and applying the inversefunction gives the nearest round number. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Moreover, properties (1) and (2) then say that this inverse "function" is a surjection and an injection, that is, the inverse function exists and is also a bijection. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Finally, a quantity called the classifier's "fitness" is adjusted by moving it closer to an inverse function of, which can be regarded as measuring the accuracy of the classifier. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The phonological decoder and encoder thus perform inverse functions. A ring homomorphism is said to be an isomorphism if there exists an inverse homomorphism to "f" (i.e., a ring homomorphism which is an inversefunction). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Stated otherwise, a function is invertible if and only if its inverse relation is a function on the range, in which case the inverse relation is the inversefunction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An example in space of two dimensions is the pseudogroup of invertible holomorphic functions of a complex variable (invertible in the sense of having an inversefunction). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since the inverse functions converge to "z", it follows that the subsequence converges to "z" on compacta. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Functions that have inverse functions are said to be invertible. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A treatment of such inverse functions as objects satisfying differential equations can be given. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This can be remedied by adding unary inverse functions to the language. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This interval may be used for the domain of inverse functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Inverse functions are closely related to the original functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This result follows from the chain rule (see the article on inverse functions and differentiation). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Subtraction is itself a sort of inverse to addition, in that adding "x" and subtracting "x" are inverse functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. When this notation is used, the inverse functions could be confused with the multiplicative inverses of the functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In this context r = r(u) is understood as the inversefunction of u(r). T is locally biholomorphic by the inversefunction theorem. Proceeding formally, we invert and then integrate to obtain the inversefunction x = x(h) over a half-period. The required value for x is the one to which x is contracted, and this value must become the output of the inversefunction. Inversefunction of the twolevel regression model, using maximum likelihood values for all parameters. At first, redefine it on the image of "g" for it to be the inversefunction of g. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Newton's method, an iterative method to solve equations approximately, can also be used to calculate the logarithm, because its inversefunction, the exponential function, can be computed efficiently. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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