(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.
Statistics
Definition:
(n.) The science which has to do with the collection and classification of certain facts respecting the condition of the people in a state.
(n.) Classified facts respecting the condition of the people in a state, their health, their longevity, domestic economy, arts, property, and political strength, their resources, the state of the country, etc., or respecting any particular class or interest; especially, those facts which can be stated in numbers, or in tables of numbers, or in any tabular and classified arrangement.
(n.) The branch of mathematics which studies methods for the calculation of probabilities.
Example Sentences:
(1) The statistical T value calculated for the LP-TAE group showed that the administration of LP, the tumor size, intrahepatic metastasis, portal vein infiltration, and serum total bilirubin and alpha-fetoprotein levels significantly (P < 0.01) affected the patients' survival.
(2) No statistically significant difference was found between sodium hyaluronate and hydroxypropylmethylcellulose (HPMC).
(3) However, there was no statistically significant difference in mean areas under the LH and FSH curves in the GnRH-treated groups.
(4) Statistically significant differences were found mainly in the randomized trial, where during the first and second years, respectively, adenoidectomy subjects had 47% and 37% less time with otitis media than control subjects and 28% and 35% fewer suppurative (acute) episodes than control subjects.
(5) Altogether 47 variables were investigated, and of these 34 gave results which were statistically significant.
(6) Regression curves indicate that although all three types of pulmonary edema can be characterized by slightly different slopes, the differences are statistically insignificant.
(7) The level of significance of the statistical estimate of the change in the number of phonoreactive units (its increase due to deprivation) amounts to 92%.
(8) Statistically significant increases of triglycerides occurred under the combined preparations, of phospholipids under Ovosiston and Deposiston and of the beta-lipoproteins under Ovosiston and Gravistat.
(9) Moreover, the data showed for the first time that DNA synthesis in the bone marrow and spleen and colon were markedly statistically significantly stimulated at specific times after treatment.
(10) = 19) with a very low, but statistically significant, correlation with the AUC, r = 0.35 (p less than 0.05), thus demonstrating a very great individual variation in sensitivity to cimetidine.
(11) There were no statistically significant increases in ABR thresholds for irradiated ears vs. control ears.
(12) Differences between N1 and N2 disease were not statistically significant.
(13) Charge data from the target hospital showed a statistically significant reduction in laboratory charges per patient in the quarter following program initiation (P = 0.02) and no evidence for change in a group of five comparison hospitals.
(14) However, each of the studies had numerous methodological flaws which biased their results against finding a relationship: either their outcome measures had questionable validity, their research designs were inappropriate, or the statistical analyses were poorly conceived.
(15) Are you ready to vote?” is the battle cry, and even the most superficial of glances at the statistics tells why.
(16) The prevalence of diabetes was 36% higher among San Antonio Mexican Americans than among Mexicans in Mexico City; this difference was highly statistically significant (age- and sex-adjusted prevalence ratio 1.36, P = 0.006).
(17) We found no statistically significant difference in one-year, biochemically validated, sustained cessation rates between the group offered the long-term follow-up visits (12.5%) and the group given the brief intervention (10.2%).
(18) The results are analysed statistically and summarized in graphs.
(19) Mononuclear phagocytic cells from patients with either principal form of leprosy functioned similarly to normal monocytes in phagocytosis while their fungicidal activity for C. pseudotropicalis was statistically significantly altered and was more evident in the lepromatous than in the tuberculoid type.
(20) Although statistical analysis did not show dramatic changes in all these parameters, some individual extreme values were substantially altered.