Examples of additive inverse in the following topics:
-
- In linear algebra, the cofactor (sometimes called adjunct) describes a particular construction that is useful for calculating both the determinant and inverse of square matrices.
- Otherwise, it is equal to the additive inverse of its minor: $C_{ij}=-M_{ij}$
- Since $i+j=5 $ is an odd number, the cofactor is the additive inverse of its minor: $-(13)=-13$
-
- In addition to occurring autonomously, insertion sequences may also occur as parts of composite transposons; in a composite transposon, two insertion sequences flank one or more accessory genes, such as an antibiotic-resistance gene (e.g.
- These include Southern hybridization, inverse Polymerase Chain Reaction (iPCR), and most recently, vectorette PCR to identify and map the genomic positions of the insertion sequences.
- Southern hybridization is rather time-consuming and requires additional procedures for localizing ISs.
- Inverse PCR, a commonly-used PCR method for recovering unknown flanking sequences of a known target sequence, uses a library of circularized chromosomal DNA fragments as a template and two outward primers located in each end of the known fragment for amplification .
-
- Recognize whether a function has an inverse by using the horizontal line test
-
- The technical definition of a subspace is that it is a subset closed under addition and scalar multiplication:
- This subspace is called the nullspace or kernel and is extremely important from the point of view of inverse theory.
- As we shall see, in an inverse calculation the right hand side of a matrix equations is usually associated with perturbations to the data.
- Figuring out what features of a model are unresolved is a major goal of inversion.
-
- Domain restriction is important for inverse functions of exponents and logarithms because sometimes we need to find an unique inverse.
- Below is the graph of the parabola and its "inverse."
- Notice that the parabola does not have a "true" inverse because the original function fails the horizontal line test and must have a restricted domain to have an inverse.
- Domain restriction is important for inverse functions of exponents and logarithms because sometimes we need to find an unique inverse.
- The inverse of an exponential function is a logarithmic function, and the inverse of a logarithmic function is an exponential function.
-
- An inverse function is a function that undoes another function.
- Stated otherwise, a function is invertible if and only if its inverse relation is a function on the range $Y$, in which case the inverse relation is the inverse function.
- Not all functions have an inverse.
- Thus, the inverse of $x^2+2$ is $\sqrt{x-2}$.
- A function $f$ and its inverse, $f^{-1}$.
-
- To find the inverse function, switch the $x$ and $y$ values, and then solve for $y$.
- An inverse function, which is notated $f^{-1}(x)
$, is defined as the inverse function of $f(x)$ if it consistently reverses the $f(x)$ process.
- In general, given a function, how do you find its inverse function?
- Remember that an inverse function reverses the inputs and outputs.
- A function's inverse may not always be a function.
-
- An inverse function is a function that undoes another function: For a function $f(x)=y$ the inverse function, if it exists, is given as $g(y)= x$.
- A function $f$ that has an inverse is called invertible; the inverse function is then uniquely determined by $f$ and is denoted by $f^{-1}$ (read f inverse, not to be confused with exponentiation).
- Not all functions have an inverse.
- Inverse operations are the opposite of direct variation functions.
- A function $f$ and its inverse $f^{-1}$.
-
- Each trigonometric function has an inverse function that can be graphed.
- To use inverse trigonometric functions, we need to understand
that an inverse trigonometric function “undoes” what the original
trigonometric function “does,” as is the case with any other function
and its inverse.
- The inverse of sine is arcsine (denoted $\arcsin$), the inverse of cosine is arccosine (denoted $\arccos$), and the inverse of tangent is arctangent (denoted $\arctan$).
- An exponent of $-1$ is used to indicate an inverse function.
- The inverse sine function can also be written $\arcsin x$.
-
- A pericentric inversion that is asymmetric about the centromere can change the relative lengths of the chromosome arms, making these inversions easily identifiable.
- When one homologous chromosome undergoes an inversion, but the other does not, the individual is described as an inversion heterozygote .
- This inversion is not present in our closest genetic relatives, the chimpanzees.
- Pericentric inversions include the centromere, and paracentric inversions do not.
- A pericentric inversion can change the relative lengths of the chromosome arms; a paracentric inversion cannot.