How to use invariant in a sentence

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Sentence Examples This term is invariant to the change in reference genotype that allowed us to derive this equation. Such a label, which stays the same no matter how much a given knot may be deformed or twisted, is known as an invariant. One rather unsuccessful idea which he embarked on quite late in his career was to apply invariant theory to chemical valences. The results reveal 23 nonsynonymous changes and 127 invariant sites in total in the hinge region. The interactions of the individual dipoles in a magnet do not depend on any particular direction, and their dynamics are rotationally invariant. In fact, essentially every invariant studied by topologists can be made into a representable or corepresentable functor. Using vital dyes as lineage tracers, the pattern of cleavage has been shown to be invariant but complex, particularly for the ectoderm. Among women, the long-term health effects of early parental support also appeared to be relatively invariant, with one exception. Before 1920 he had shown that the homology of a simplicial complex is a topological invariant. For a transactional leader, there are no universal invariant principles, policies, or goals applicable to all situations and at all times. The open time constants are invariant to ligand concentrations, suggesting that ligand binds exclusively to the closed channel. Also in 1887 Voigt first wrote down the transformations and showed that certain equations were invariant under these transformations. The basic results were found to be invariant across different functional forms, including linear, log-log, and log-linear specifications. Consistent with the close phylogenetic relationships of the species sampled, most nucleotide sites were invariant in pair wise comparisons. As in all mixture problems, this model is not identifiable as the likelihood is invariant under any relabeling of the populations. Surprisingly, classical string theory dynamics is described by a conformally invariant 2D quantum field theory. It assumes an invariant average wavelength in the denominator of the integrand. Spacetime coincidences play this privileged ontic role because they are invariant and, thus, univocally determined. In terms of linear systems theory, the point spread function and the modulation transfer function become invariant with respect to defocus. Dr. Campbell's main research interest is the invariant theory of finite groups. Show More Sentences As outlined above, we assumed that both environmentally induced variability and colony growth rates were relatively invariant within a population. An ecosystem exhibits emergent properties that are characteristic of its type and are invariant within the domain of existence. Replacement substitutions are extremely variable in rate, ranging from many sites that are essentially invariant to a few that evolve fairly rapidly. He worked in a wide variety of mathematical areas including general topology, topological vector spaces, algebraic geometry, invariant theory and the classical groups. So looking at whether something makes people happy is largely futile. In statisticians' terms, you are looking for variance in something that is invariant. Further collaboration with Lie followed and they worked on an investigation of W-curves, curves invariant under a group of projective transformations. It is an excellent piece of work which considers loop and quasigroup identities that are invariant under isotopy, proving a number of very interesting results. In the theory of relativity, there are both covariant and invariant laws. The wave functions of both the deuteron and the alpha particle are invariant under the interchange of up and down quarks but recall that the pion wave function is not. Although people may interpret such a document differently, they agree that it is an invariant object, and may accept it as incontrovertible evidence in a court of law. When adjusted for differences in overall mnemonic ability, we demonstrate that the relationship between organization and learning remains invariant with normal aging. His invariant had been missed completely by topologists, in spite of intense activity in closely related areas during the preceding 60 years, and it was a complete surprise. In geometry Cayley concentrated his attention on analytic geometry, for which he naturally employed invariant theory. Absence of major oceanographic anomalies in the immediate vicinity of Johnston Atoll may contribute to relatively high and invariant survival in Brown Boobies. The change in activity of the output domain is brought about through the reversible transfer of phosphoryl groups to the invariant aspartate residues at the receiver domain. Unlike the other proposals, it is essentially invariant to the size of the EU, whatever that ends up being. In contrast, was relatively invariant among populations because the number of segregating sites was largely determined by the presence of both alleles. Results for ecstasy and traditional hard drug users were highly invariant, but the ecstasy users' rate of previous hard drug use was much higher than that of any other group. Further analysis of the data revealed the presence of at least two fluorescent species and fitting to a bi-exponential model was performed assuming invariant lifetimes. Since such a thermometer presumes Lorentz invariant equipartition theorem, a moving object appears neither cold nor hot. Show More Sentences In other words we have replaced the use of the Lorentz-Fitzgerald contraction by counting charges, and counting is relativistically invariant. In this case, therefore, the linearoid system of invariant differential equations is merely the linearoid transform of a linear system. Therefore, from the results of section 2 it follows that these properties are matrically invariant. So there is a Schnorr random sequence that does not have invariant subsequence frequencies under admissible place selections, and is therefore susceptible to exploitation by a gambling system. So derived reasons are variable, and underived ones invariant. Thus, for example, the notions of Euclidean geometry are invariant under similarity transformations, those of affine geometry under affine transformations, and those of topology under bicontinuous transformations. However, the evidence regarding the order of integration is neither invariant nor apparently consistent when considering different degrees of broadness of the monetary aggregates. And if I can see that rivalry, under a clear blue sky, and in the midst of a playoff run such bliss! Yet the price I pay for a ticket is usually invariant to the weather and my interest in the opposing team. Part of the COI gene of Mitochondrial DNA is hypervariable between species and relatively invariant within species, and is therefore an excellent marker. The centred moments are known to be invariant to 2D translational motion. The authors show that, when trade is balanced period-by-period, the per capita output and consumption of a small open economy converge to an invariant distribution that is independent of the initial wealth. Hence, by making an imputation for these implicitly priced services, the overall value of financial services is invariant to changes in the pricing system or to differences in the pricing system between countries. Furthermore, time invariant variables such as immigration category, ethnic group, and region of origin can be included in the regression as part of X, which is impossible in the fixed effects model. Royalty rate invariant regardless of source. The basic concept and definitions of ISCED have therefore been designed to be universally valid and invariant to the particular circumstances of a national education system. He argues that the problem he identifies with individualism is invariant under any specific account of justification, internalist or externalist. Part 2 discusses geometric properties of KAM invariant tori including the case of fibered Lagrangian deformation. It is, however, invariant under the isometries of flat spacetime that we use to generate global conservation laws. I had to include the GNU Manifesto, as it was part of an invariant section. In knot theory, Conway formulated a new variation of the Alexander polynomial and produced a new invariant now called the Conway polynomial. Show More Sentences For relativistically invariant formulations, see relativistic formulations. For this reason the relativistic invariant equations are usually simply called the Maxwell equations as well. Catherine Bell states that ritual is also invariant, implying careful choreography. This enables straightforward and explicit calculation of the pseudohermitian invariants of the embedding which are also CR invariant. These are not verbs, but simply invariant particles that cannot stand alone like the English to be. All other ergodic invariant Radon measures are squashable, and there are infinitely many such measures. Montejano, Trees and n-path invariant graphs, Graph Theory Newsletter, 3 no. Thus, Maxwell's equations are also invariant under these gauge transformations. The class invariant is an assertion which all the class instances have to satisfy. The projection of the neutron magnetic moment on the magnetic field direction is an adiabatic invariant. An example of a writer invariant is the frequency of function words used by the writer. Simply put, by fixing the numerical value of an invariant quantity such as the property of an atom or a fundamental constant, we define its unit. In 1841 Boole published an influential paper in early invariant theory. Therefore the sum of absolute eigen values provides the first invariant called as and the second is the maximum absolute eigen value of eigen spectrum, called as. Moreover, we remark that the equality case of the improved inequality for the invariant R does not imply the minimality of the Legendrian submanifold. The energy of photons, the kinetic energy of emitted particles, and, later, the thermal energy of the surrounding matter, all contribute to the invariant mass of the system. It makes use of the idea of invariant quantities in dynamical systems. The basic question is, for the number names ONE to ONE THOUSAND VIGINTILLION, how many are invariant with the alphabet arranged in order over and over and over? Right and skew-right circulant matrices remains invariant on their type when evaluated on trigonometric and hyperbolic functions that are used in this paper. Carcasses on roads have been used to gauge changes in the size of populations of individual species in circumstances where volume and speed of traffic are invariant. Examples from Classical Literature She is the invariant of each of her iconic Mantrams and her surroundings are the variables that enter and leave the screen. If triangles and genera are of our own production we can keep them invariant. At this point there exists the invariant system solid nitrile, two liquid phases, vapour. K is also an invariant point at which potassium iodide is in equilibrium with two liquid phases and vapour. At this point the system is invariant, and the pressure will therefore remain constant until all the iodine has disappeared. Since the cryohydric point is a quadruple point in a two-component system, it represents an invariant system. Since, in all cases, there can be but one gas phase, four solid phases will be necessary in order to form an invariant system. Now the possibility of translation implies the existence of an invariant. Find more words! 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What is the opposite of invariant? Words that rhyme with invariant What is the plural of invariant? What is the adverb for invariant? What is the adjective for invariant? What is the noun for invariant? Use our Sentence Generator Nearby Words invariance invariably invariable invariability Invar invar invariantly invariants invasion Invasion invasion of privacy invasions 9-letter Words Starting With i in inv inva invar invari invaria invarian