| The complete measurement and path model was tested for configural invariance across ethnic groups. |
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| Three important papers on plane topology proved the topological invariance of the dimension of the square. |
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| The very invariance of the universal fossil sequence is the strongest argument against its production in a single gulp. |
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| The best characteristic of a scale is its invariance, that is, the degree to which it can be manipulated without distorting its structure. |
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| Resulting estimators have good theoretical and practical properties, including invariance, calibration and design consistency. |
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| In 1911 he established his theorems on the invariance of the dimension of a manifold under continuous invertible transformations. |
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| What we want is a characterization of every physical process so that the invariance of cause and effect corresponds to nomological irreversibility. |
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| Einstein resolved this paradox by recognizing that Galilean invariance is just an approximation, valid for speeds much smaller than the speed of light. |
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| If Lorentz invariance were violated, the gamma-rays would pass right through the extragalactic infrared fog with insufficient energy to cause annihilation. |
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| However, characterizing the migration and traction of a population of cells assuming time invariance obviates determination of dynamic changes in the associated parameters. |
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| We have said much about the relativity of simultaneity but little about the invariance of the speed of light. |
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| This connection provides the major conceptual apparatus of modern physics, through the concept of physical symmetries, or invariance principles, and valid transformations. |
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| Therefore, in order to come to conclusions about the past, we must assume the invariance of nature's laws. |
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| However, with recognition of this concession, we assume the invariance of nature until evidence forces a change in paradigm. |
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| The main advantage of adhering to the invariance principle is better comparability over time and between countries. |
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| Content invariance or the extent to which the content of a given resource and the links it contains will remain unchanged. |
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| In classical mathematics, he founded modern topology by establishing, for example, the topological invariance of dimension and the fixpoint theorem. |
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| The experience of Michelson-Morley didn't succeed, which made of the invariance of Lorentz the ideal basis for a solution. |
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| In practice, this invariance principle is not assured by current conventions on the measurement of household services. |
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| It is noted that hierarchical models provide a natural way of relaxing requirements of model invariance across groups. |
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| And moreover the theory had to offer a solution for the paradox of the Lorentz invariance. |
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| The invariance of the modal auxiliaries to person, number, and tense makes them analogous to modal auxiliaries in English. |
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| So the invariance criterion seems to accord at least partially with common intuitions about logicality or topic neutrality, and with our logical practice. |
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| The invariance of a system defines a conservation law, e.g., if a system is invariant under translations the linear momentum is conserved, if it is invariant under rotation the angular momentum is conserved. |
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| Unfortunately, unrestricted invariance claims are rarely true. |
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| Expected utility's partition invariance makes an act's expected utility independent of selection of a partition of states and thereby increases expected utility's explanatory power. |
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| Adjusted household disposable income and actual final consumption are measures that go some way towards accommodating the invariance principle, at least where 'social transfers in kind' by government are concerned. |
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| This brings us to the second reason for imputations, the invariance principle: the value of the main accounting aggregates should not depend on the institutional arrangements in a country. |
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| Finally, the mathematical big ideas include concepts such as change, constancy or invariance, dimension, number, pattern, quantity, relationships, shape and uncertainty. |
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| The key to invariance is bodily discipline, as in monastic prayer and meditation meant to mold dispositions and moods. |
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| We find new restrictions on the Hilbert space of pure gravity by imposing invariance under large diffeomorphisms and normalizability of the wave function. |
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| The invariance of the percolation threshold with respect to affine transformations in the common direction of the axis of cylinders is approximately satisfied on simulations. |
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| Galilean invariance or the principle of Newtonian relativity. |
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