(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.
Shape
Definition:
(n.) To form or create; especially, to mold or make into a particular form; to give proper form or figure to.
(n.) To adapt to a purpose; to regulate; to adjust; to direct; as, to shape the course of a vessel.
(n.) To image; to conceive; to body forth.
(n.) To design; to prepare; to plan; to arrange.
(v. i.) To suit; to be adjusted or conformable.
(n.) Character or construction of a thing as determining its external appearance; outward aspect; make; figure; form; guise; as, the shape of a tree; the shape of the head; an elegant shape.
(n.) That which has form or figure; a figure; an appearance; a being.
(n.) A model; a pattern; a mold.
(n.) Form of embodiment, as in words; form, as of thought or conception; concrete embodiment or example, as of some quality.
(n.) Dress for disguise; guise.
(n.) A rolled or hammered piece, as a bar, beam, angle iron, etc., having a cross section different from merchant bar.
(n.) A piece which has been roughly forged nearly to the form it will receive when completely forged or fitted.
Example Sentences:
(1) The predicted non-Lorentzian line shapes and widths were found to be in good agreement with experimental results, indicating that the local orientational order (called "packing" by many workers) in the bilayers of small vesicles and in multilamellar membranes is substantially the same.
(2) The significance of the differences in these two patterns of actin is discussed in terms of differences in the accommodative ability and static lens shape in these two animals.
(3) A J-shaped relationship with a dip at the middle SBP (140-149 mmHg) was recognized between treated SBP and CVD.
(4) After four years of existence, many evaluations were able to show the qualities of this system regarding root canal penetration, cleaning and shaping.
(5) In this paper we present a robust algorithm to determine automatically contours with elliptical shapes.
(6) Sickle and normal discocytes both showed membrane elasticity with reversion to original cell shape following release of the cell from its aspirated position at the pipette tip.
(7) These observations suggest that the liver secretes disk-shaped lipid bilayer particles which represent both the nascent form of high density lipoproteins and preferred substrate for lecithin-cholesterol acyltransferase.
(8) The heterogeneity of obesity may be demonstrated by the shape of fat distribution and the prolactin response to insulin hypoglycaemia.
(9) We present numerical methods for studying the relationship between the shape of the vocal tract and its acoustic output.
(10) The shape of the nucleus changes from ovoid to a distinctive, radially splayed lobulated structure.
(11) Urinalysis revealed a low pH, increased ketones and bilirubin excretion, dark yellowish change in color, the appearance of "leaflet-shaped" crystals and increased red blood cells and epithelial cells in the urinary sediment, increased water intake, decreased specific gravity and decreased sodium, potassium and chloride in the urine.
(12) The drop in endosome pH increased and the shape of the distribution changed when the time between FITC-dextran infusion and kidney removal was increased from 5 to 20 min.
(13) Taking into account the calculated volume and considering the triangular image as one face of the particle, it is suggested that eIF-3 has the shape of a flat triangular prism with a height of about 7 nm and the above-mentioned side-lengths.
(14) The complex problems have been successfully managed with novel guiding catheter shapes and ultralow profile balloons.
(15) Thus obtained body shape variables were used in discriminant analysis in order to obtain unbiased classification probabilities of individuals having the MBS or being normal.
(16) These early hyperplastic lesions revealed stellate-shaped dilated bile canaliculi lined by blebs and abnormally thick elongated microvilli, a decreased number of microvilli on the sinusoidal surface, a marked increase in smooth endoplasmic reticulum, large nucleoli, and bundles of pericanalicular microfilaments.
(17) Models of the VMT nuclei were constructed to compare their size, shape and disposition across species.
(18) The mutant spores are pleomorphic and differ both in shape and size from the wild-type spores.
(19) This lack of symmetry in shape and magnitude may be due to non-sphericity of the skull over the temporal region or to variations in conductivities of intervening tissues.
(20) Jane's life clearly still has a massive Spike-shaped hole in it.