Examples of arithmetic

Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
Thus, as long as a vortex is passively convecting downstream, its speed is well approximated by the arithmetic mean of the two free-stream velocities.
As we will see below, this suffices to define arithmetic degrees.
The difference between the two issues boiled down to a simple case of parliamentary arithmetic.
Policy making also involves issues of political judgement and political arithmetic.
The antecedent clause in this example is a verification condition that might be discharged by applying a rule that expresses a property of integer arithmetic.
Finally, very late in the derivation, during step 5, we apply transformations that eliminate, where possible, type checking for arithmetic operations.
Consider, for example, the property of both believing something, and not believing anything, which entails that arithmetic is decidable.
No such improvements were found in visual short-term memory, problem-solving ability, cognitive speed, arithmetic, or verbal comprehension.
The results show the arithmetic means for each herd.
The effect, however, is determined by the arithmetic averaging of the profit over multiple years.
As is usual with faecal egg counts, geometric means were considerably lower than arithmetic means.
The analysis can be extended to incorporate risk by using the geometric instead of the arithmetic mean.
First, egg counts were averaged by the arithmetic mean at the individual level.
An example of such an operator is when we allow finitely many instances of the -rule to generate a partial theory of arithmetic.
Coinductive type theories provide a programming framework for algorithms that deal with infinite objects, and therefore are suitable for exact real arithmetic.
There are three groups of implementations of exact real arithmetic.
In this case the implementations of functions use interval arithmetic and approximations to transcendental functions that get more accurate as the input interval shrinks.
Mixed mode arithmetic and assignment is permitted with invisibly overloaded operators and automatic type coercions.
Let us insist that special loci, which are the fixed-point sets of the action of the modular group are simultaneously algebraic, arithmetic and totally geodesic.
All fitness calculations are done with double precision arithmetic.
The arithmetic was sufficiently unfavourable, even in the short term, that harsh measures were required.
Like arithmetic, this is an idealization, but a useful one.
An interval constraint function is derived based on interval arithmetic.
Again, too few children took both oral arithmetic and sentence reading for this correlation to be calculated.
The terms on the left are musical, those on the right are arithmetic.
Dissociating prefrontal and parietal cortex activation during arithmetic processing.
Aristotle indicated that appropriate proportions were used to analyze these systems of justice, the geometric, the arithmetic, and some other!
The proof uses reliable computations based on interval arithmetic.
All known manifolds with engaging actions of higher rank lattices have an arithmetic fundamental group.
We prove that if 2 > 1, then topological mixing is equivalent to topological weak mixing, which has an explicit arithmetic characterization.
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms 365 is a genuine rectangle.
Any attempt at providing watertight differentiations for pairs such as arithmetic/arithmetical or geometric/geometrical leads to no satisfactory conclusions.
Note that this estimator provides estimates for neither - the arithmetic mean of h values, h, nor the harmonic mean, 1=(1=h).
The following elementary arithmetic observation will be used later.
Authors of arithmetic books and ready reckoners recognized that mathematical transitions are not easily undertaken by the populace.
We then use program fusion to calculate an equivalent but more efficient program, which is then further improved by exploiting arithmetic properties.
Among these are properties which require the application of arithmetic operators such as count, sum, or min on a set of elements satisfying some conditions.
Equality of terms (unification or matching) and arithmetic are also covered explicitly at this stage.
The other task where there tended to be higher variability was arithmetic.
As before, b is highly oscillatory when is small, and converges weakly, as 0, to its arithmetic mean.
Tests of arithmetic and knowledge of money matters tended to dominate the public scrutiny of the subjects of legal disputes.
However, this contradicts our choice of the arithmetic progression.
Arithmetic expansions associated with a rotation of the circle and with continued fractions.
The genetic programs are arithmetic expressions of the original attributes.
The impedance calculation process is similar to arithmetic operations.
If there is no opposite edge, a single class is calculated as an arithmetic mean value of the proposed classes.
Many useful functions can be recognised as representation changers; examples include compilers and arithmetic functions such as addition and multiplication.
The language extends simple arithmetic (with addition, subtraction, multiplication and division) by adding user-definable constants (abbreviations) and user-definable unary functions.
We measured these proportions separately for each module, and then took the arithmetic mean of the resulting figures.
The importance of the libraries is that they contain implementations of arithmetic over basic types; if that is compiled badly then performance suffers horribly.
He scoured the country for pupils who were already literate and knew the rudiments of arithmetic.
Actually, a low level of arithmetic thinking has nothing to do with low mental abilities.
Nonparametric statistical tests were considered inappropriate, because they do not test differences in arithmetic means (1).
There is nothing wrong with the arithmetic in this case: the actual well-being is greater than the expected well-being.
Indexicals can be used to compile arithmetic constraints, but are too weak to be used to program many other kinds of propagators.
Timings are the arithmetic mean over 10 runs.
The first issue is not arithmetic specific, and it would be better to treat operators earlier, in a more neutral context.
However, many of the computations required in the synthesis phase of design may be purely symbolic or arithmetic.
They leave aside such grand challenges as the unconscious and focus on such workaday functions as - arithmetic calculation.
Similarly, data transformation to achieve approximate normality does not result in a comparison of arithmetic means.
Nonparametric statistical tests were considered inappropriate because they do not test differences in arithmetic means (2).
Almost half the children responded in "spectacular fashion" presenting with unusual motivation to work, and an enhanced ability to read, comprehend, and do arithmetic.
On this program, the axioms of arithmetic were theorems of deductive logic and thus regarded as known by inference from the axioms of logic.
We used the arithmetic mean of the absolute distances in these formulas because of computational simplicity.
Up to now, we have dealt only with cognitive automatisms, such as reading and arithmetic calculation.
However, the case of simplices is easier to present, and is enough for the application to arithmetic progressions of length four.
In some cases the errors are small and might be deemed simply the result of a less-than-perfect arithmetic prowess.
One of the methods was to inhibit inner speech by asking the subjects, for example, to protrude their tongues while solving mental arithmetic tasks.
More accurate trees of similar size might employ tests on arithmetic combinations of attributes.
Alternative approaches to implementing mixed-mode arithmetic have been proposed.
One that is widely recognised concerns the exceptions raised by the arithmetic operators.
Apart from the basic arithmetic functions like + and *, over 60 standard functions are predefined.
All of these proofs require a software verified implementation of real number arithmetic before these proofs can be verified by computer.
The first part is a function that computes the arithmetic mean of two values (in other words, the half-sum).
Values are arithmetic means (and range) of the published results at each time ; these published results were geometric means of the individual patient data.
The global score of the scale is the arithmetic sum of all items (range 0-290).
Arithmetic must already be defined on the list elements.
In some cases arithmetic mean and standard errors of the means are also provided.
1); however, in the figures, they were presented as arithmetic means.
Next, and most relevant for us, we want to add the (modular) arithmetic information.
From now on we will call an ob ject 'arithmetic' if it can be defined over a number field.
The problem remains undecidable also for rules which do not use arithmetics and function symbols.
Thanks to this abstraction, we can test various possibilities and rely on powerful available rational arithmetics.
An axiomatic system for arithmetics will be incomplete if consistent.
Nobody used different arithmetics to count apples, sheep, francs, or kilos.
We now present the proposed change of arithmetic.
A simple arithmetic operation turns the set of coefficients into what is termed the prediction error filter.
Numbers have such natures and properties; so does the arithmetic triangle.
The inclusion of discussion is also interesting and contrasts with traditional approaches which demanded silence in arithmetic lessons.
Plot the data first, as arithmetic smoothing may not be required.
However, in finite precision arithmetic it takes many more iterations to get a small residual.
Both the eigenvalues computed by our algorithm (in standard double-precision floating-point arithmetic), and by a conventional algorithm are shown.
To go further we must extend our model of arithmetic.
We can consider both symbolic and exact implementations, and implementations in traditional floating-point arithmetic with various levels of precision.
The first question is easy; a cash register is designed to do arithmetic + in particular, addition.
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.