By contrast, which is sometimes overlooked, in the arithmetical Books 7-9 multiplication of integers themselves occurs as usual. |
|
All the algorithms to carry out arithmetical operations are presented in this way and no proofs are given. |
|
Another arithmetical result presented by Brahmagupta is his algorithm for computing square roots. |
|
Zero is used and his rules for arithmetical operations includes zero and negative numbers. |
|
These calculations not only involved difficult mathematical expressions but also dealt with heavy arithmetical calculations. |
|
In this Thabit deals with arithmetical operations applied to ratios of geometrical quantities. |
|
There is as yet no warrant for ruling out an arithmetical set that is not decidable, or for ruling out a decidable set that is not arithmetical. |
|
He has two types of algebra, arithmetical algebra and symbolic algebra. |
|
Babylonian mathematics went far beyond arithmetical calculations. |
|
Solovay's completeness theorem provides an alternative way to construct many arithmetical sentences that are not provable in Peano Arithmetic. |
|
It pointed out that the evaluation committee wrongly understood the bid to contain arithmetical errors. |
|
Exceptions to this are those orders based on a spelling mistake, a misprint, or an arithmetical error on the website. |
|
Hitherto, the government's instinct was to withdraw into arithmetical obfuscation. |
|
This is known as infix notation, and it is familiar from arithmetical operations such as addition and multiplication. |
|
As regards the presentation of figures, figures have been rounded, which may give the appearance of arithmetical errors. |
|
The necessary background mathematical tools are then introduced such as the arithmetical operations on sexagesimal fractions and the trigonometric functions. |
|
Mahler regretted that, apart from his own work, little interest had been shown by 20th century mathematicians in the study of arithmetical properties of decimal expansions. |
|
It is simply impossible to apply an arithmetical division into equal halves. |
|
There is one simple arithmetical problem if one uses the standard definition of fuel poverty. |
|
In this case, the requirement after testing is only that the arithmetical mean of all 10 results shall be less than the limit value. |
|
|
Ability is needed to perform simple arithmetical calculations and to use an office calculating machine. |
|
It would then be enough to publish the multiple of the solvency margin to have a sort of automatic and arithmetical rating. |
|
This is clear from the plots using logarithmic scales, but the curved plots with an arithmetical scale on the vertical axes may falsely suggest a threshold. |
|
The arithmetical mean X of the results obtained from the sample shall be calculated for each regulated component of the exhaust and noise emission. |
|
The arithmetical mean of the three samples is the dosing capacity. |
|
Arithmetical and geometrical proportion, for instance, are species of proportion, and so the science of arithmetical or geometrical proportion would be a part of the science of proportion, not subalternate to it. |
|
But the reading is not so much mathematical as merely arithmetical, not so much a mathematization as an accounting. |
|
Stage 1: Calculation of the average price of the variety for a given month, arithmetical average of the prices of the series comprising the variety. |
|
This means that the relevant data fields must be defined for the table calls or function calls, arithmetical equations must allow a solution for the variable, and so on. |
|
We chose a purely arithmetical threshold based on turnover, above which the Commission normally has exclusive jurisdiction and below which the Member States normally have exclusive jurisdiction. |
|
Numerical marking is the manner of denoting the arithmetical values of contour lines. |
|
Observed differences as shown in this exhibit are the simple arithmetical differences between the results of our tests and those of the Department. |
|
Correction of a clerical or arithmetical error in any document relating to a proposal which has already been adopted shall not require reopening of the discussion on the proposal, if the error is of no consequence. |
|
Ms Livni, who came from behind to pip Mr Netanyahu at the post, is still fighting hard to keep him out of the prime minister's seat, despite the arithmetical handicap dealt by the results. |
|
A method based on an arithmetical average should therefore be used. |
|
Here, then, is an example of an arithmetical statement that may be true, but may be non-derivable from the axioms of arithmetic. |
|
Hermite was a major figure in the development of the theory of algebraic forms, the arithmetical theory of quadratic forms, and the theories of elliptic and Abelian functions. |
|
It is making sure that children who get enrolled in school are actually going to become literate and have the numerical and arithmetical skills they are going to need to be functioning adults. |
|
While algebraical reasoning is most frequently analytical, arithmetical reasoning is generally synthetical, and, consequently, more difficult to understand. |
|