(n.) That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
Example Sentences:
(1) We present a mathematical model that is suitable to reconcile this apparent contradiction in the interpretation of the epidemiological data: the observed parallel time series for the spread of AIDS in groups with different risk of infection can be realized by computer simulation, if one assumes that the outbreak of full-blown AIDS only occurs if HIV and a certain infectious coagent (cofactor) CO are present.
(2) On the basis of mathematical models of the obtained dose-time-effect relationship, the risk of cancer occurrence due to small carcinogen doses is predicted.
(3) Unfortunately more than three quantitative data cannot be judged simultaneously without help of mathematical methods.
(4) The kinetic properties of the cell-free extracts fit mathematical models developed for in vitro systems reconstituted from purified enzymes.
(5) All of the multivariate data were treated with mathematic method of cluster analysis.
(6) Problems of calculations and predictions on more than two particles moving are known in mathematics and physics since a long time already.
(7) The normal anatomical position of the point of junction of the superficial cerebral veins with the superior sagittal and transverse sinuses of the rat was studied with an analytical mathematical method.
(8) Such measured courses may be mathematically modelled by the so-called BATEMAN function type, an expression consisting of 2 e-function terms.
(9) This review begins with a mathematical and qualitative description of the inverse problem in terms of epicardial potentials.
(10) For both cases, mathematical expressions as proposed and used by Sager are applied.
(11) Since the four determining coefficients may change over evolutionary time-scales, the mathematical results together with a natural selection argument proves that virulence gamma 2 attenuates.
(12) The selection of optimal parameters, development of valid measurement procedures, and use of mathematical modeling and descriptive statistics are necessary for quantitative studies by ultrasound of fetal organ growth.
(13) The mathematical model clearly predicts this decrease in concentration.
(14) The ability of a mathematical model to evaluate the effects of two different pain modulating procedures (partial nerve block and vibration) on acute experimental pulpal pain was studied.
(15) A mathematical model that abstracts the major features of the vegetative life cycle of Neurosopra crassa has been developed, and the action of selection in this model and various extensions of it is such as to maintain polymorphisms of vegetative incompatibility factors.
(16) Mathematical models describing the process of the patients treatment and permitting to pronosticate the blood and urine sugar level during the treatment were developed.
(17) I used to tease him with the suggestion he had chosen me as walking companion because I had no mathematics at all and so he was safe from prying questions, but in fact now and then he did used to tell me about what he was doing – and how clear it all seemed when he spoke!
(18) A mathematical treatment and an original microcalorimetric method are developed to verify an eventual competitive binding between any two substances for the same macromolecule.
(19) By means of the method of factor-geometric analysis using a computer DVK-3, mathematic calculations of the effectiveness of the operation were made.
(20) A mathematical model of cochlear processing is developed to account for the nonlinear dependence of frequency selectivity on intensity in inner hair cell and auditory nerve fiber responses.
Notation
Definition:
(n.) The act or practice of recording anything by marks, figures, or characters.
(n.) Any particular system of characters, symbols, or abbreviated expressions used in art or science, to express briefly technical facts, quantities, etc. Esp., the system of figures, letters, and signs used in arithmetic and algebra to express number, quantity, or operations.
(n.) Literal or etymological signification.
Example Sentences:
(1) As observed before, the inhibitors share a common main-chain conformation at the binding loop from P3-P'3 (Schechter & Berger notation), which is maintained throughout all the serine proteinase inhibitor families for which X-ray data is available, despite lack of similarity in the rest of the protein.
(2) Data received was converted to Munsell notation for evaluation of the dimensions of color, i.e., Hue, Chroma, and Value, as related to (1) shade differences, (2) thickness of porcelain, and (3) numbers of firings.
(3) Drug order notations entered by physicians on outpatient medical records were examined to determine if the availability of the profile influenced the completeness of drug-related data being recorded by physicians.
(4) In 300 Sienese skulls of known age and sex (146 male and 154 female) 6 modes of expression of bipartition of the hypoglossal canal were studied on the basis of a new scheme of notation that takes into account gradually increasing intensity.
(5) First, the historical evolution of number notations is presented, together with the mental processes for calculating and transcoding from one notation to another.
(6) The musical notation in braille remained intact: he could read by touch and play unfamiliar scores, he could also read and sing the musical notes, he could copy and write a score.
(7) Antibodies to the extreme C-terminal pentapeptide of procholecystokinin, YEYPS (in the single letter notation), have been used in radioimmunoassay and immunohistochemistry to characterize the material in rat intestine.
(8) A new system for the notation of intra-oral carcinomata has been described.
(9) The programs use a simple and logical notation to define motifs, and may be used either interactively or by using command line parameters (suitable for batch processing).
(10) Some of the research workers most closely concerned with the problem have now agreed upon a unified scheme for the notation of the human immunoglobulin subclasses, and, in particular, of the immunoglobulin G subclass, for which two different nomenclatorial schemes have been followed in recent years.
(11) Using this notation, a consistency condition for the completion of incomplete projection data is described.
(12) One route permits exact number representation, memory and calculation using symbolic notation.
(13) Microphthalmia is reported in two cases; notations are made about the orbits in three cases; and the fact that infants could not follow with their eyes is noted in three cases.
(14) A notation in one or more of these sources constituted a referral.
(15) These solid-state modules store information about each clinical use, including selected segments of the ECG rhythm and notations on defibrillator operation.
(16) This notation system appears valuable as a means of standardizing the examination and photographic findings from multiple institutions.
(17) (1) However, that proposed scheme of notation, which has already gained wide acceptance, left several specialized areas of nomenclature still to be resolved; one of these was the subclasses of immunoglobulins.
(18) Measurable lesions in a case such as aPR should be recorded in metric notation, using a ruler or calipers on X-ray films.
(19) Measures of recognition included a psychiatric diagnosis, psychologic and psychosocial chart notations, and various treatment options (e.g., therapy, consultation, referral, drugs, singly and in combination).
(20) Although established acuity thresholds should be regarded as conservative estimates, and not directly comparable to Snellen letter acuity notations, the preferential looking technique proved to be quite valuable in a paediatric ophthalmology unit.