Sentences Containing 'inverse'
Inverse representations, (blue saltire on a white field), of the Scottish Saltire are also used outside Scotland.
The flag and arms of the Nova Scotian county of Annapolis comprise inverse representations of the flag of Scotland.
MuPad does not follow the NIST 4.37 definition for inverse hyperbolic cosine.
The inverse Hankel transform of "F"ν("k") is defined as: which can be readily verified using the orthogonality relationship described below.
In more elaborate quantization designs, both the forward and inverse quantization stages may be substantially more complex.
If this is the case, then the matrix B is uniquely determined by A and is called the inverse of A, denoted by A−1.
Non-square matrices ("m"-by-"n" matrices for which "m ≠ n") do not have an inverse.
However, in some cases such a matrix may have a left inverse or right inverse.
The conditions for existence of left-inverse resp. right-inverse are more complicated since a notion of rank does not exist over rings.
Gauss–Jordan elimination is an algorithm that can be used to determine whether a given matrix is invertible and to find the inverse.
Furthermore, because Λ is a diagonal matrix, its inverse is easy to calculate: Cholesky decomposition.
With increasing dimension, expressions for the inverse of A get complicated.
The nullity theorem says that the nullity of A equals the nullity of the sub-block in the lower right of the inverse matrix, and that the nullity of B equals the nullity of the sub-block in the upper right of the inverse matrix.
Some of the properties of inverse matrices are shared by Moore–Penrose pseudoinverses, which can be defined for any "m"-by-"n" matrix.
Current radar imaging techniques rely mainly on synthetic aperture radar (SAR) and inverse synthetic aperture radar (ISAR) imaging.
Note that, for formula_25, this becomes precisely the definition of the continuous Fourier transform, and for formula_26 it is the definition of the inverse continuous Fourier transform.
With both forbidden regions and guiding virtual fixtures the "stiffness", or its inverse the "compliance", of the fixture can be adjusted.
Neglecting the very important resonances, the total neutron cross section of every material exhibits an inverse relationship with relative neutron velocity.
Since the interaction of graphene with an electromagnetic field is surprisingly strong for a one-atom-thick material, the Casimir effect is of growing interest. The related van der Waals force (or dispersion force) is also unusual, obeying an inverse cubic, asymptotic power law in contrast to the usual inverse quartic.
The proof of the Cauchy integral formula is the same as in one complex variable and makes use of the fact that each non-zero vector "x" in euclidean space has a multiplicative inverse in the Clifford algebra, namely Up to a sign this inverse is the Kelvin inverse of "x".
However "G" is not the complete inverse limit but rather the subgroup in which each generator appears only finitely many times.
An example of an element of the inverse limit which is not an element of "G" is an infinite commutator.
The maximum theoretical efficiency of a fuel cell is the inverse of that of electrolysis.
It is the multiplicative inverse of cycles per instruction.
This result makes sense since the factor is just the inverse of the operator acting on ψ("x") in the Dirac equation.
If formula_83, their difference, formula_84 is nonzero and has an inverse modulo formula_74.
Decryption, the inverse of encryption, is the process of turning ciphertext into readable plaintext.
Seismic inverse Q filtering is a data processing technology for enhancing the resolution of reflection seismology images.
I think it is necessary to have this in mind also when the inverse theory is developed.
The Kolsky Model is used extensively in seismic inverse Q-filtering.
It would be rather straightforward if we consider it as an inverse problem of the inverse equation and take an inverse solution.
But solving an inverse problem is often time-consuming because it involves the computation of an inverse matrix.
In the inverse solution (1.8.a) we have the opposite effect,the higher value of fh the more the forward phase effect is compensated, toward a causual solution.
The effect of amplitude inverse Q-filtering should also be studied.
He discovered an inverse relationship of the force between electric charges and the square of its distance, later named after him as Coulomb's law.
Suppose that "g" : "X" → "X" is a one-to-one map such that formula_6and its inverse exist then the values of the Lyapunov exponents do not change.
There is an inverse relationship between tropical cyclone activity in the western Pacific basin and the north Atlantic basin, however.
Let formula_4 be the inverse of formula_2 as a floating point number.
Logarithmic growth is the inverse of exponential growth and is very slow.
The inverse of formula_128, formula_163, is defined as the converse of formula_128 if this is a function.
A function is an injection and one-to-one if it has an inverse function.
Using the inverse of the Minkowski metric diag(−"c"2, 1, 1, 1), we get in covariant notation.
Tate's result then states that if "m" is relatively prime to the characteristic of "K", then i.e. the inverse of the order of the quotient ring "R"/"mR".
It is "significant for its ingenious construction, with its main story supported by an inverse pylon made up of an oak trunk upside down in the center of the basement."
In an inverse Sonogashira coupling the reactants are an aryl or vinyl compound and an alkynyl halide.
In local coordinates, one has where "gij" are the components of the inverse of the metric tensor, so that with δ"i""k" the Kronecker delta.
An interesting situation in which the inverse correlation between a company's stock price and CDS spread breaks down is during a Leveraged buyout (LBO).
It also (originally) generalized a group (a monoid with all inverses) to a type where every element did not have to have an inverse, thus the name semigroup.
A group is then a monoid in which every element has an inverse element.
On the other hand, the inverse-square force laws, Coulomb's law and the Biot–Savart law, "do" have a factor of 4π attached to the "r"2.
More Vocab Words::: overthrow - topple; N.
::: benefit - advantage; anything that brings helpl, advantage, or profit; money provided by the government to the people; fund-raising public entertainment; Ex. unemployment benefit; V: receive benefits; be beneficial to; give benefits
::: fissure - crevice; crack
::: sheaf - bundle of stalks of grain; any bundle of things tied together
::: adore - love deeply and respect highly
::: exacting - extremely demanding; Ex. exacting standard of safety
::: filial - pertaining to or befitting a son or daughter; Ex. filial respect
::: consonance - harmony; agreement
::: application - diligent attention; diligence; V. apply oneself
::: requisite - necessary requirement; something required; ADJ: required; necessary