(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.
Mensuration
Definition:
(n.) The act, process, or art, of measuring.
(n.) That branch of applied geometry which gives rules for finding the length of lines, the areas of surfaces, or the volumes of solids, from certain simple data of lines and angles.
Example Sentences:
(1) Two systems of mensuration are utilized in 58 case studies.
(2) While the calvaria shares some anatomical features with Asian Homo erectus specimens, it exhibits a broader suite of morphological and mensural characteristics suggesting affinities with early Homo sapiens fossils from Asia, Europe, and Africa as well as demonstrating that the Narmada calvaria possesses some unique anatomical features, perhaps because the specimen reflects the incoherent classificatory condition of the genus Homo.
(3) The results are reported of 38 ultrasonographic in vivo mensurations of intraindividual differences in axial thickness between a cataractous lens in one eye and a biomicroscopically clear or slightly cataractous lens (incipient deep cortical opacity) in the other.
(4) We have obtained high-resolution magnetic resonance brain images of first-episode schizophrenic and normal control subjects and, with a computerized mensuration system, determined the volumes of the different components of the entire ventricular system.
(5) They give mensurations and specific features (spermatheca, cibarium, pharynx).
(6) Mensural values of blood stream stages and cross-transmission studies defined the trypanosome species from mule deer, Odocoileus hemionus, as con-specific with Trypanosoma cervi, the trypanosome found in elk from the same locality.
(7) The embryos shared in common: holoprosencephaly, arhinencephaly sensu stricto (absence of olfactory nerve fibers, bulbs, and tracts), presence of a proboscis, synophthalmia with two lens vesicles, a retarded telencephalic wall, absence of the mediobasal part of the telencephalon (the future septal area and the commissural plate: future anterior commissure and corpus callosum), irregularity of the diencephalon, mensural changes in the brain, absence of the rostral part of the notochord and consequent cranial defects, and small ganglia of the cranial nerves.
(8) The study of the sternal movements by the use of biometry mensurations of 62 young adult men allows to precise the respiratory variations of the Louis's angle and sternal displacements in the sagittal plane.
(9) The paper also includes an account of retinal mensuration (dimensions, area, etc.)
(10) As a result cross-sectional studies gave way to longitudinal studies and X-ray techniques were added to purely mensurational procedures.
(11) A more accurate mensuration to predict biologic behavior might be one that takes into account the three-dimensional volume of the neoplasm.
(12) They give for each of them mensurations, drawings and differential diagnostic with related species or subspecies.
(13) The present analysis addressed the reliability of human dental mensuration, with special reference to intra- and inter-observer error, the effect of time and of tooth type.
(14) The concept of the fetal-pelvic index is one in which the fetal head and abdominal circumferences (ultrasonographic mensuration) are compared with the respective maternal pelvic inlet and midpelvic circumferences (x-ray pelvimetry).
(15) Hippocampal volumes were calculated with the use of a computerized mensuration system developed for detailed morphometric assessment.
(16) Limitations in imaging and mensuration methodology that is available currently for quantitative measurement of anatomic structures have prompted the development of a computerized system to study brain morphometry.
(17) Mensurational data were derived from cephalograms of 72 patients (44 male and 28 female subjects) with cleft lip only (n = 38) or cleft lip with varying degrees of alveolar cleft (n = 34).
(18) To attain the percentiles curves of the ultrasonic parameters we applied 5400 mensurations of the biparietal diameter and 1300 mensurations of the thorax.
(19) In mensuration by digitiser on three occasions from a single photograph of a given eye the mean deviation rate was about 0.7%, and the mean deviation rate of 10 successive exposures of one eye was 3.5%.
(20) Although both systems displayed improved post-SMT scores, one system appeared to be a more sensitive form of mensuration, while the other is more inclusive, not depending on radiographic findings alone.