词汇 | example_english_formula |
释义 | Examples of formulaThese 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. Since the coefficients of the sum are now changing with every iteration, we also need intelligent update formulas. Cost efficiency and time efficiency may support the continued use of diagnostic categories or test score formulas as guidelines for service provision. The first set of exact inversion formulas of filtered backprojection type was discovered in. Recently, analogous formulas were obtained for even dimensions in. In the proof, we present formulas for the solutions k0 (x), and their lengths and areas, in terms of the beta and complementary error functions. In this way, one obtains error formulas which focus, for example, more on boundary terms than on volume terms. The factors, variables, and coefficients thus determined and measured would be integrated into mathematical formulas that permit the calculation and determination of the corresponding tariffs. Instead of exact formulas, one can use asymptotic information. There are no such o simple formulas known for general outerplanar graphs. The first two of these formulas have their usual interpretation as negation and material implication. The near-sacred statistics are explained; formulas are given for mysteries like the earned run average. An inspection of the arguments mentioned at the end of 3 shows that the analogies of formulas and are still valid. Of course, in more general groups similar formulas exist, but we have to introduce the derivative of the group operation. In addition, new formulas are required for each design. Note that as all logarithms appearing in the formulas for c1 (t) and c2 are positive, so c1 (t) and c2 are positive. If a2 is written for 2a2these formulae are similar to (2.49) and (2.50). Below we restate without proof these possibilities with explicit formulas for g as constructed in the previous section. Careful allowance is made for the flooding and uncovering of tidal flats; formulae are proposed for bottom friction in extremely shallow waters. Fetal weights were calculated using 16 published formulae and each value was compared with the actual birthweight. The difficulty with the analytic method lies in deriving the formulae and, for the user, following the derivation. The formulae are derived using a continuous diffusion approximation, which is accurate over all but very small spatial scales. However, these methods do not provide analytic formulae for statistical power. By (26), for n big enough the above three formulae are in contradiction. Since most of these are either directives or formulae with very specific meanings, it seems appropriate to include them in the lexicon. However, careful examination of the formulae for the number of periodic points reveals that this need not always be the case. We have already exploited skew symmetry of the commutator in the derivation and 'beautification' of our integration formulae. Also, the scaling introduced in (6.1) has the simplifying effect of removing the parameter h from all subsequent formulae. The gist of affine equivalence techniques is to use these estimates in combination with the pullback formulas (2.16)-(2.19) for vector proxies. Enactment formulae are found in many legal systems. The rules defined here are derived from domain knowledge, formulae and constraints. At the end of the announcements, check formulas against the refined model. To deal with the announcements made, they successively refine the model with formulas expressing the announcements made. The two formulae offer very different prescriptions for women whose mean cycle length is substantial. The correct formulae used in that article and in this note are as follows. Special attention should be given to the checking of tables, mathematical formulae and figures. The first two features allow grid size to be both determined by and referred to by formulas. Early correct use of word order with familiar verbs, for example, is most likely the result of lexically-specific formulas such as those described above. Statistics reported are computed from analytical formulas for the model moments. The beam current normally does not appear in photodetachment neutralizer formulas because the ion beam is optically thin. All formulae, however, gave an underestimation in higher ranges of creatinine clearance and an overestimation in the lower ranges. Finally, we considered the formulas of the rent calculation as constraints that refine the rent estimate by propagation from the constrained input variables. Sampling plans and formulas for determining the sample sizes necessary to control these misclassification errors when accepting or rejecting seed lots are also provided. We conclude that there are several advantages of adopting formulae into a seed dormancy classification system. The mapping of monadic formulas into automata (the difficult direction) can indeed greatly benefit from automata closure properties. Given the wellknown correspondence between formulas and automata, the application of automata connectives to formulas can be viewed as a form of automata combination. In this paper, we are interested in logic programs as (possibly infinite) sets of propositional formulas. We define the notions of positive, negative, and neutral aggregate formulas. Therefore, given a reactive sequence s we can define the truth values of formulas. The second case is more expensive, requiring a most specific generalisation to be computed as well as an entailment check on more complicated formulae. Inconsistent working formulas are also removed in this step. The algorithm for solving first-order formulas in finite or infinite trees. According to all what we have shown, every finite application of our rules on produces a conjunction of working formulas. Terms and formulas without variables are called ground and those without free variables are called closed. The second two rows are from formulae (16) and (17). However, when implementing such a language, one need to face satisfiability problems involving set-based formulas. Here we expand the notion to take account of if formulas. In this section, we first define a term-rewriting system which rewrites formulas into formulas. In addition, only colordifference formulae strictly applicable to uniform stimuli have been used to quantify color errors. The mathematical response expressions for other models may be constructed based on the mathematical formulas derived here. The case of independence was o included in the new formulas when the second variable equaled zero. Unusual alphabets, special characters, mathematics and chemical formulas, and all diacritical markings should be marked clearly. The evaluation procedure is based on an effective fixpoint operator working on a symbolic representation of infinite collections of first order linear logic formulas. Relationships between parts are influenced by adding either graphs or formulas into the circles in the diagram to reflect assumptions made. One significant restriction is that the formulas used to specify calculations must be functions. Moreover, despite their apparent freedom and formlessness, many coloratura episodes end with familiar cadential formulas that tend to strengthen the arrival at a cadence. From a syntactic point of view, a (scalar) spreadsheet is a collection of cells that can contain either values or formulas. Each extension is a set of classical formulae. Sampling formulas describe probability laws of exchangeable combinatorial structures like partitions and compositions. In this approach, errors in spreadsheet formulas show up as anomalies in the visualizations. Alternatively, attempts to use sophisticated mathematical techniques, such as high order polynomial equations, may fail because the formulae are too complex for statistical treatment. Unlike many other textbooks, this one takes special care in explaining the intuition behind the basic learning formulae. From a knowledge base of classical (non-defeasible) formulae, plus defeasible (meta-level) rules, arguments "for" and "against" any particular inference can be constructed. They do not show mathematical formulae, but they refer to mathematical principles by name, with discussion of the significance, and ample references. He creates here a methodological blueprint that will eventually yield a mathematically derived set of formulae for calculating the ratios between the planetary pitches. There are several ways in which these formulae may be approximated to yield a practical refinement indicator. The authors claim that mapping formulae in their language can be fairly expressive, which makes it possible to represent complex relationships between models. In particular, we relied on a collection of automatic decision procedures for equalities between polynomials and sets of inequalities between affine formulas. Therefore, when the base-value assignments are inconsistent with the spreadsheet formulae, every value is logically entailed in every cell, thus rendering the spreadsheet useless. The -conversion is possible here since formulae are interpreted as functions over assignments in a ' dynamic ' setting. Our system retains many of the familiar abilities of spreadsheet formulas, but enforces a structured layer on the sheet itself. We will denote also by and the corresponding morphisms for the cone given by the same formulae. The tree types, however, are unusual: they are the formulas of our logic. As a consequence, we give another proof of the inversion formulae relating their characteristic monomials. Now we would like to write the standard formulae for the change of the canonical class under the blowup. Note that the argument (or plan) may not contain only intentions, but also belief and desire formulae about the agent and its environment. The satisfaction of the principle of minimal change involves de®ning orders either on formulae or on interpretations. A modification in the business rule would require tracking all formulas where it was used, and then modifying each one accordingly. As a consequence, every couple of formulae p and q are comparable (through p6q). In a logical spreadsheet, this is no longer the case: regardless of the formulae, any cell can be an input cell or an output cell. Entering the calculation formulae, after stages 1 and 2. The system also allows partial reductions of cell formulas and unbound variables. In fact, we allow arbitrary type-correct formulas that do not contain references. There are many different kinds of mathematical formulae, whose layout is governed by tradition and aesthetics. After defining the logics, the transformation of temporal formulas into vectorized -calculus, into -automata and into other temporal logics are presented. Epidermal plate formulae of miracidia were examined after impregnation using 3% silver nitrate. The analysis was done on the basis of the simple mathematical model and formulas which were obtained from it in the analytical way. To give a flavour of the work, we can look at the formulas in (13) below. On the other hand, penalties need not be inserted into displayed formulae. Since !x-freedom is closed under by definition, any tautologies/unsatisfiable formulae are !x-free. We define infix operators imp, and, and or to construct formulas. 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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