| 词汇 | example_english_exponent |
| 释义 | Examples of exponentThese 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. In the initial table all and exponents are replaced by ones. The primary interest of the exponents of the qualitative paradigm is meaningful social interaction in relatively local, self-designating communities. Families of invariant manifolds corresponding to non-zero characteristics exponents. Let m be an ergodic measure for f^ with non-zero exponents such that ^ is regular. There generally will be m such exponents, some of which may coincide. Section 4 contains a statistical analysis of simulated data demonstrating their close proximity to empirical records in the sense of scaling laws with "realistic" exponents. The mobility has normally been attributed to the fact that the featural exponents are not segmentally affiliated in underlying representation. The exponents of these "humility-projecting" functions include vague words, attenuators, downtoners, and mitigators, expressions of uncer tainty and tentativeness and of belief. The first type has exponents j and j with j - j not equal to an integer. Liapunov exponents in chaotic systems: their importance and their evaluation using observed data. The offsets measured under these conditions can only be fitted by sinusoids raised to exponents greater than unity. Thus, large exponents would tend to produce weak or no responses to counterphasing gratings except near the optimal spatial phase. To test the model, we compare two independently derived exponents. Finally, we examined the effect that large exponents would have on responses to counterphasing gratings. The second is the conventional assumption that the segmental exponents of morphemes are present in surface representations, unless some specific prohibition dictates otherwise. Let p be the vector of asymptotic exponents generated according to the rules of the previous section. Moreover, the critical exponents for blow-up in higher dimensional problems for (1.2) is a challenging open question. The self-similar exponents are determined by the use of dimensional analysis and the integral conservation law of the dipole moment. Finally, those dimensional properties are related to rates of decay of (averaged) correlation functions [12] and to critical exponents of generalized random walks [7]. A widely shared belief among workers in this field is that positive exponents are quite prevalent, and numerical evidence seems to substantiate this view. In this paper we show how to perturb the diffeomorphism to remove zero exponents. The exponents p r are less than or equal to minus one. The exponents of gender, number and person, or of tense- mood-aspect can be subject to both considerable interspeaker and intra-speaker variation. Power functions have exponents b 0.25 in the top panel and 0.54 in the bottom panel. To affirm their status as exponents of intellectual and artistic labour, architects began increasingly to theorise architecture in drawings and books. The exponents m and n are adjustable parameters. The coefficients an and the characteristic exponents bn were determined by least-squares fitting in the log() vs. log() plane. The exponents used in this function determine the proportionate increase in output that results from a given proportionate increase in labour force or capital stock. Another application is exponentiation with fractions as exponents. A similar argument works for a monomial in which two of the exponents are the same. She criticises material writers for relying on introspection rather than empirical research when selecting which exponents to present in the classroom. Most material points remain in this chaotic zone for only a finite time, which implies that their exponents vanish. They exist for all combinations of anomaly exponents, are always stable and do not alter the overall system stability properties. With equal anomaly exponents an exact formula for the anomalous critical value of reactants diffusion coefficients' ratio is obtained. Thus, sole existence of monotonic modes is characteristic to systems with equal anomaly exponents for reaction and diffusion processes. They derived exponents separately from fits to contrast response functions. However, these large exponents would be expected to affect the amplitude modulation in response to counterphasing gratings in a manner that is not observed. Furthermore, critical phenomena can rely on universality [13], which states that the critical exponents should be independent of the details of the system. All results obtained for case (d) generalise the derivation for the case of equal anomaly exponents with = 1 [15]. Intersection exponents for simple random walks can be defined similarly. Note that the exponents of in the product account for all the different values an urn occupancy can assume. The exponents b and bscal are relevant factors for adaptation speed and precision. The scaling exponents in these solutions are independent of the dimensionality of problem. Families of invariant manifolds corresponding to nonzero characteristics exponents. Characteristic exponents for a viscous fluid subjected to time dependent forces. However, the present account explicitly rejects this assumption, and proposes on the contrary that forms are merely exponents. The salient point extracted from the analogy is that the association of exponents and categories is switched across the two contexts. The rules or entries that introduce exponents must be tagged by the same features, so that this cross-referencing determines the inflection of a noun. One normally expects exponents of a theory to develop it. Families of invariant manifolds corresponding to nonzero characteristic exponents. The characteristic exponents of a quasi-ordinary branch determine the embedded topological type of the hypersurface it defines. The exponents used here give an output elasticity of 0-5 for labour and 0-3 for capital. Interestingly, this change seems to have been driven by women, traditionally the exponents of standard speech. Nevertheless, applying the usual statistical tests to simulated data, we find apparent scaling with quite close agreement with empirically observed exponents. The exponents have to be placed in the right order. He is not one of the "men of maxims," exponents of merely conventional thinking. The values of the exponents were estimated from differences between linearly predicted and actual amplitude modulations to counterphasing gratings. Families of invariant manifolds corresponding to non-zero characteristic exponents. His jazz background has proved invaluable in his collaborations with exponents of free jazz and other improvising collectives. Consider the exponents at the singular points: the parameter is equal to 2, therefore, it has two false singular points. The exponents m, n correspond to the powers in the destabilizing second-order and the stabilizing fourth-order diffusive terms, respectively. We note that there is continuity in the exponents characterising the time dependence between (6.7), (6.9) and (6.10) as p drops to two. The first integral is, in this case, a product of the invariant algebraic curves with complex exponents. With these relations between the anomaly exponents it is impossible to obtain a consistent expansion of form (4.6), and hence no decaying solutions exist. The range of growing models considered in [16] includes graphs with power-law degree distributions, with variable exponents. In particular (see [23]), it appears as if the exponents for nonintersecting random walks are closely related to exponents for percolation and self-avoiding walks. Readers with a physical background may have wondered why we have not even mentioned critical exponents. Numerous situations in dynamics and other branches of mathematics lead to the problem of deciding whether the exponents differ from zero. Deciding whether a diffeomorphism (or a cocycle) has non-zero exponents is, in general, very hard. If conditions (4a) and (4b) are satisfied, then both of these maximal exponents lie in the interval (1, 2). The geometric, resistance, and mean hitting time exponents are involved respectively in the following definitions of fractal, resistance, and random walk dimensions. The use of class features largely restores the information that is lost by removing class-identifying exponents from noun stems. The strict dissociation between predicates and the exponents that realise them also accommodates cases in which a single notion is realised by formally distinct exponents. Rather than being ' deduced ' from the properties of their lexical exponents, predicates actively guide the combination of elements and serve as the locus of interpretation. Elliptic behavior, when present, further complicates the task of proving positive exponents. Clearly, it goes far beyond the resources of religious naturalism as the exponents of these movements currently understand them. In addition, this table also contains exponents collected from the experiments [6, 9] and other numerical simulations [6, 8]. Ergodicity, exponents and entropy of the equilibrium measure. Indeed, there the two brothers appeared not as pantomime conspiracists, but as only two, albeit vigorous, exponents of an idea that received considerable attention during 1917. Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms. Indeed, in the latter case all structure functions of order p = 3 are generally believed to have scaling properties at small separations with non-trivial (and certainly non-integer) exponents. Lyapunov exponents and stable manifolds for compact transformations. Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Let us fix now all these exponents. We call a singular point aj false if both exponents j and j are non-negative integers and there are no logarithmic terms in the local expansions near the singular points. Much empty debate would be carried on between the exponents of realism and of idealism. The most common exponents are two and three: squaring and cubing a number. More sophisticated exponents of the excess demand hypothesis have accepted this characterisation of the late 1960s. However, in many real life networks, power law degree distributions were observed with different exponents. Arbitrary combinations of anomaly exponents lead to appearance of oscillatory modes, at least in a bounded interval of wave numbers. We are, in the company of exponents of other fields, teachers of people. Lyapunov exponents: how frequently are dynamical systems hyperbolic? We will allow equal exponents and write a prime in this case. We will sketch in the appendix a dynamical systems approach to leading to slightly better exponents. Also, we have to pay an exponentially small error in the exact stretching and contracting exponents. First, although there is some similarity in some of the endings, the morphological exponents are different for the two lexical classes. By incorporating national covenantal ideology into state oaths, exponents broadened the boundaries of political participation and sacralized the grounds for national allegiance. The numbers hence represent the exponents of the join size, a kind of "degrees of freedom" measurement. We can take exponents, products and universal quantification of relations. 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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