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Longman Dictionary of Contemporary English
a legal/mathematical/marketing etc concept
▪ Democracy is a very important political concept.
a mathematical equation
▪ a set of mathematical equations
mathematical ability
▪ These students have a higher level of mathematical ability.
mathematical calculations
▪ pages of mathematical calculations
musical/comic/mathematical etc genius
▪ After all, musical talent is often considered highly linked to mathematical ability, except when discussing black performers.
▪ They have greater verbal and lesser spatial and mathematical ability, and less self-confidence and competitiveness.
▪ This choice indicates the general direction of their interests, but it must be backed by the appropriate mathematical ability.
▪ No amount of theologizing could be a substitute for mathematical analysis.
▪ With clarity and with mathematical analysis, he showed how such networks could work and what they could do.
▪ This experimental solution has since been confirmed by a purely mathematical analysis carried out by H. L. Cox.
▪ One the other hand abstract mathematical analysis and the experimental laboratory do not provide a direct channel to the subject studied.
▪ The mathematical analysis is somewhat complicated.
▪ Econometrics Econometrics is the science of mathematical analysis of economic phenomena.
▪ However, it may give rise to the necessity for a fairly sophisticated mathematical calculation if a conversion table is not published.
▪ The mathematical calculations are not easy, but the concepts are relatively familiar.
▪ By means of tapping his foot the horse could perform mathematical calculations, and solve problems of musical harmony.
▪ Computers are widely used because cost estimating may involve complex mathematical calculations and require advanced mathematical techniques.
▪ Needing to do something, anything, he rapidly tapped the spoon against the saucer as though preoccupied with a mathematical calculation.
▪ We can possess a mathematical certainty that two and two make four, but this rarely matters to us.
▪ Imaginary time may sound like something out of science fiction, but it is a well-defined mathematical concept.
▪ We know that children develop mathematical concepts through manipulating objects and talking about what they are doing.
▪ Ideas leading towards mathematical concepts can be gained from all the toys and apparatus.
▪ Assessing the extent to which certain important mathematical concepts are not understood by the adult population and devising corrective measures.
▪ To begin with, geometry has more value than simply as a means of acquiring a grasp of mathematical concepts.
▪ Take, for example, the child who is able to deal with mathematical concepts at a very early age.
▪ Solving all the necessary mathematical equations on paper is next to impossible.
▪ That world evolves in a clear and deterministic way, being governed by precisely formulated mathematical equations.
▪ Cowan set up a mathematical equation that represented the neural activity, and built lateral inhibition into it.
▪ He often walks through entire discussions performing mathematical equations without the aid of a calculator.
▪ You can use this function to accept and evaluate an expression, such as a mathematical equation, whilst the program is running.
▪ Another use would be in a graph plotting program to accept the mathematical equation you wished to plot.
▪ In arguing for pointillism, he quoted the scientific treatises consulted by Seurat and even printed mathematical equations.
▪ His mind reeling with the difficult mathematical equations, he suddenly heard a soft knocking at the door.
▪ The mathematical experiences involved may be explored in talk with the teacher afterwards.
▪ Once again, the kind of play and the extent of mathematical experience which it includes will inevitably vary.
▪ Opportunity for mathematical experience and the development of mathematical thinking might seem unlikely to occur readily in the Home Corner.
▪ The provision of the equipment does not ensure the mathematical experience, but can create opportunity for it.
▪ Possible mathematical experiences are given for activities involving each item.
▪ But on many occasions children gain mathematical experience without any intervention by an adult.
▪ The skills pupils need are the strategies of problem solving; interpreting mathematical forms and statements; representing situations mathematically.
▪ For my own part, I am very happy to accept the original mathematical form of the Church-Turing Thesis.
▪ It has been simply expressed in a mathematical form.
▪ As with index-linked rents, any mathematical formula should be carefully checked by calculator or computer.
▪ Luther met Predestination as revealed truth: Calvin treated it as a mathematical formula and deduced the results.
▪ But political arrangements can not correspond to some tidy mathematical formula.
▪ Rabin's method uses a stream of randomly generated characters that can be decoded with a mathematical formula.
▪ These assumptions and the mathematical formula used to calculate the volume have been described and validated by Everson and colleagues.
▪ Census takers then turn the difference into a mathematical formula and apply it to the city as a whole.
▪ We feed the figures into a mathematical formula and the formula then takes over and does the processing for us.
▪ A mathematical function grades how different these suggestions are from the misspelling, and the nearest few are suggested.
▪ Group survival through irrigation let to the development of higher mathematical functions and constructional techniques associated with the science of hydraulic engineering.
▪ Apart from playing around with shaped blocks or mathematical functions, synthesis tries to achieve something.
▪ I decide that he is a latent mathematical genius.
▪ Many of the individuals in these groups have dazzling individual skills mathematical genius is often one.
▪ Stephen Wolfram, a mathematical genius who did pioneering work on the varieties of computer algorithms agrees.
▪ Some of the mathematical ideas which can be experienced with the most general apparatus are suggested here.
▪ Moreover, the specific Newtonian scheme has given rise to a remarkable body of mathematical ideas known as classical mechanics.
▪ Many of the mathematical ideas connected with them are described in chapter 5 Water.
▪ The concept lay outside the normal mathematical ideas of the time.
▪ Often their comments or explanations involve mathematical ideas like height weight, shape or space.
▪ New mathematical ideas are set firmly in a known context.
▪ Our experience of electronic technology prepares us to accept the idea that unconscious machinery can behave as if it understands complex mathematical ideas.
▪ The discussion which follows may involve comparison and the use of various mathematical ideas.
▪ Since the Antichrist would use mathematical knowledge in exercising malignant power, it was vital for the Church to be prepared.
▪ Effective use of Logo requires the development of mathematical knowledge such as angle, rotation and distance.
▪ Response to any task, then, may not provide a valid description of mathematical knowledge.
▪ The theory always came first, put forward from the desire to have an elegant and consistent mathematical model.
▪ An associated mathematical model { 81 } can reproduce the periodic but not the chaotic regime.
▪ One could accept the mathematical models of Copernican astronomy without even considering whether the earth really moves.
▪ This is a mathematical model designed to determine the optimal amount of inventory that a firm should carry.
▪ Of course, aircraft were flying long before the development of powerful mathematical models.
▪ The mathematical models of the glycolytic pathway take the form of ordinary nonlinear differential equations.
▪ Linear, additive models are easier to work with than more complex mathematical models.
▪ Fisher s intuition was fed into mathematical models and emerged intact.
▪ It has improved graphics features too, for abstract mathematical modelling, and new selectable fonts.
▪ Without mathematical modelling, the problem would not have been discovered until the complete antenna subsystem had been built and tested.
▪ No amount of mathematical modelling can produce the answers to these questions - even at a cost of £550 000.
▪ For many applications, mathematical modelling is actually proving preferable to physical experimentation.
▪ The creation of apparently real, solid objects by means of detailed mathematical modelling.
▪ The test repeats a large number of operations that, as far as possible, do not involve any mathematical operations.
▪ You can sort these tables and even perform mathematical operations on them.
▪ Integer performance shows up in all software, whereas floating point performance is primarily reflected in specialized mathematical operations.
▪ It can be an intriguing puzzle for them to decide, of some mathematical operation, whether or not it is computable.
▪ I started to find great relaxation in playing with mathematical problems and puzzles.
▪ In a similar way it is possible to phrase many other unsolved mathematical problems in terms of the Turing machine halting problem.
▪ It was a thriving concern when I took over, so it was a mathematical problem, really.
▪ They spend so much time thinking about mathematical problems that they do not notice what is happening around them.
▪ A mathematical proof about some property of a triangle does not, Gassendi thinks, give demonstrative understanding of its cause.
▪ So many mathematical proofs are like that.
▪ In the absence of mathematical proofs of security, nothing builds confidence in a cryptosystem like sustained attempts to crack it.
▪ We plan to establish ourselves as the national point of contact for industry to reach mathematical skills in these areas.
▪ The phenomenal success of his efforts owed much to his supreme mathematical skills and to his equally superb physical insights.
▪ It assumes no previous technical knowledge of computer communications or specialist mathematical skills.
▪ To what are such mathematical skills relevant?
▪ The Topic Criteria provide a comprehensive list of mathematical skills and processes.
▪ Whilst these articles may make slight demands upon your mathematical skills, be assured that your indulgence will bring its own reward.
▪ An historical, multicultural perspective, such as that employed by Hughes, may help children use and develop more versatile mathematical skills.
▪ Industrial development and economic progress increasingly depend upon computing and applied mathematical skills and expertise, and on today's information technology.
▪ We must suppose that there is some alphabet of symbols in terms of which our mathematical statements are to be expressed.
▪ Like many ancient languages, it has a highly logical, mathematical structure.
▪ Whichever mathematician or computer buff chooses to examine the set, approximations to the same fundamental mathematical structure will be found.
▪ First, the mathematical thinking that is prompted in an individual depends on context as well as underlying mathematical structure.
▪ Every new scientific demonstration of the precision of the mathematical structure needed to produce conscious life is evidence of design.
▪ We shall need to take a glimpse at the mathematical structure of a Hilbert space.
▪ The problems that his paradoxes raise concerning the mathematical structure of space and time are still being discussed today.
▪ Effective measurement requires detailed knowledge of the properties of phenomena which are to be reflected or mapped on to some mathematical system.
▪ Quantifiable problems can be resolved by mathematical techniques, to produce a quantifiable decision.
▪ Computers are widely used because cost estimating may involve complex mathematical calculations and require advanced mathematical techniques.
▪ The details of the mathematical technique don't matter.
▪ Mackenzie is also looking at other mathematical techniques for analysing and synthesising waveforms.
▪ To answer this question required new mathematical techniques.
▪ But it should stimulate the further application of those mathematical techniques.
▪ The mathematical techniques of management science are used to ensure the efficient conduct of operations.
▪ A mathematical theory of statistical predictors and how to assess their accuracy has been developed by the principal investigator and others.
▪ Von Neumann invented a mathematical theory of games.
▪ Within weeks he had decided that some crucial stress calculations were so complex that mathematical theory alone could not provide answers.
mathematical calculations
▪ a mathematical formula
▪ An associated mathematical model { 81 } can reproduce the periodic but not the chaotic regime.
▪ Consequently, this view is frequently referred to as mathematical Platonism.
▪ I believed their arguments on physical grounds, but I did not like the mathematical way in which they calculated the emission.
▪ Luther met Predestination as revealed truth: Calvin treated it as a mathematical formula and deduced the results.
▪ Many of the mathematical ideas connected with them are described in chapter 5 Water.
▪ Possibly not, but that is the rigorous mathematical answer to your question.
▪ The mathematical experiences involved may be explored in talk with the teacher afterwards.
▪ This is likely to result in over-simple mathematical descriptions with poor correlations.
The Collaborative International Dictionary

Mathematical \Math`e*mat"ic*al\, a. [See Mathematic.] Of or pertaining to mathematics; according to mathematics; hence, theoretically precise; accurate; as, mathematical geography; mathematical instruments; mathematical exactness. -- Math`e*mat"ic*al*ly, adv.

Douglas Harper's Etymology Dictionary

early 15c., from Latin mathematicus (see mathematic) + -al (1). Related: Mathematically.


a. Of, or relating to mathematics

  1. adj. of or pertaining to or of the nature of mathematics; "a mathematical textbook"; "slide rules and other mathematical instruments"; "a mathematical solution to a problem"; "mathematical proof"

  2. relating to or having ability to think in or work with numbers; "tests for rating numerical aptitude"; "a mathematical whiz" [syn: numerical] [ant: verbal]

  3. beyond question; "a mathematical certainty"

  4. statistically possible though highly improbable; "have a mathematical chance of making the playoffs"

  5. characterized by the exactness or precision of mathematics; "mathematical precision"


Usage examples of "mathematical".

And is it a coincidence that the outstanding achievement of Mayan society was its observational astronomy, upon which, through the medium of advanced mathematical calculations, was based a clever, complex, sophisticated and very accurate calendar?

In addition I wanted to canvass his views on what sort of human society, if any, could have had the technological know-how, such a very long while ago, to measure accurately the altitudes of the stars and to devise a plan as mathematical and ambitious as that of the Giza necropolis.

By associating various mathematical problems with his constructive exercises, the teacher can frequently cause the pupil to transfer in some degree his primary interest in manual training to the associated work in arithmetic.

Rufus in particular loved to work the Astrolabe, when it was not in use, and he has also learned, much to my Astonishment, quite a Lot of the Mathematical Calculation necessary for plotting the Orbits of Stars and Planets.

Not for the first time she wondered what lay behind his decision to hold himself aloof from Gerard, given that his heroism and his mathematical prowess, to say nothing of his mastery of horology, could--if revealed to Gerard--have brought him nothing but honour and praise.

For, in it all Mr Massy seemed to have no sense of any person, any human being whom he was helping: he only realized a kind of mathematical working out, solving of given situations, a calculated well-doing.

Caliphate mathematical technique to establish a metastable equilibrium that allows convex regions with real and virtual histories to coexist in four-dimensional space-time, while remaining both topologically distinct and contiguous in five-space.

States had been troubled by divers ill-intentioned persons pretending to have received revelations from another World, and professing to produce demonstrations whereby they had instigated to frenzy both themselves and others, it had been for this cause unanimously resolved by the Grand Council that on the first day of each millenary, special injunctions be sent to the Prefects in the several districts of Flatland, to make strict search for such misguided persons, and without formality of mathematical examination, to destroy all such as were Isosceles of any degree, to scourge and imprison any regular Triangle, to cause any Square or Pentagon to be sent to the district Asylum, and to arrest any one of higher rank, sending him straightway to the Capital to be examined and judged by the Council.

They reshaped them, configuring the topology to enhance mathematical prowess, which took us onto a plateau beyond what the neural modifiers had been capable of doing.

It used the thought routines it had developed to control its own processors, running the sequences through them, modifying them to handle the new mathematical arrangements.

However, compared to other decompositions of information that occur in the brain, this particular decomposition has a rather unusual mathematical nature: an apparently simple continuum of possible pitch values is decomposed into a modulo value and a non-modulo value.

The conviction of the applicability of mathematical concepts to the description of natural events is grounded in his discovery of the so-called Parallelogram of Forces.

As such a personality, Galileo was able to think the parallelogram of forces, but he was unable to comprehend the origin of his faculty of mathematical thinking, or of his intuitive knowledge of the mathematical behaviour of nature in that realm of hers where she sets physical forces into action.

Ahmed bin-ud Dinveri wrote, in addition to several grammatical and mathematical works, a book on plants, and after him the grammarian Al-Jahiz wrote the first treatise on animals, but more from a philological point of view than from that of natural history.

James Thomson, was the author of several mathematical text-books, and occupied for some time the position of lecturer on mathematics at the Royal Academical Institute in Belfast, from whence he was transferred to the mathematical professorship of Glasgow University.