(n.) That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.
(n.) A treatise on this science.
Example Sentences:
(1) The results, together with the known geometry of the enzyme, indicate that active site probes in the dodecamer are widely separated and that energy transfer occurs from a single donor to two or three acceptors on adjacent subunits.
(2) The scatter measurement was made using a standard imaging geometry with both beam stops and an additional x-ray detector placed behind the standard imaging detector.
(3) These two latter techniques were developed in an attempt to restore normal left ventricular geometry.
(4) Those small problems which exist can be attributed to detector sampling problems, especially in the axial direction, which is a consequence of the geometry of these scanners, which are designed primarily for 2D data acquisition.
(5) In spite of the limitations arising from the complex geometry of the right ventricule, echocardiography may be the most important non-invasive technique in the evaluation of the structural and functional repercussion of hypertension on the right ventricle.
(6) In the current study, left ventricular geometry, loading conditions, and contractile state were assessed in 13 patients with nonischemic DCM with the use of simultaneous high-fidelity pressure measurements and echocardiographic recordings.
(7) The measured dose distributions at equivalent source activity and similar geometry of the applicators revealed the possibility with regard of all techniques of gynecologic irradiation utilized in our field of arriving at similar relative and absolute dose distributions by means of the Cs-137 afterloading technique.
(8) The drug orientation and the DNA orientation (reflecting flexibility) are observed to vary differently and nonmonotonically with binding ratio, suggesting specific binding and varying site geometries.
(9) In 1984 the press-fit condylar knee was first introduced and was intended to provide a condylar knee system primarily for posterior cruciate retention that addressed refinements in metallurgy, prosthetic geometry and sizing, cementless fixation, inventory management, and instrumentation.
(10) The effective electrical geometry under the conditions of control and 0.5 mM PNB sufficient to completely abolish the postsynaptic potential were determined from analyses of the membrane charging curves assuming the lumped-soma-short-cable model.
(11) The latter, which is external and solvent accessible, is associated with a distortion in the alpha-helix centered around Tyr33 which consists of a significant increase in the CO(i-4)-N(i) and CO(i-4)-NH(i) distances relative to those in the rest of the helix, as well as a significant departure in the phi, psi angles of Tyr33 relative to regular helical geometry.
(12) Fractal geometry offers a more accurate description of ocular anatomy and pathology than classical geometry, and provides a new language for posing questions about the complex geometrical patterns that are seen in ophthalmic practice.
(13) We have mapped cochlear nerve terminations in the cochlear nucleus with DiI and, using three-dimensional reconstructions, have demonstrated the topography and geometry of the cochlear input.
(14) In order to clarify the role of dialyzer geometry, the effect of hollow-fiber versus flat-sheet dialyzers and of different surface areas on C3a generation and leukocyte degranulation was investigated.
(15) The ternary complexes between enzyme, NAD+ and either Cl- or trifluoroethanol and the binary complex between enzyme and orthophenanthroline have almost identical spectral parameters which are not consistent with a four coordinated geometry, but are consistent with a five coordinated geometry.
(16) A good choice between these different approaches avoid the rare complications (ectropion and scleral show) because blepharoplasty must be considered like a "variable geometry" operation.
(17) Distances and angles between major anatomic landmarks were determined by using computer reconstructions of the serially sectioned embryos, three-dimensional analytic geometry, and Euclidean distance formulas.
(18) We tracked the unconditioned approach response paths taken by the fish and compared tracks for each of the geometries.
(19) The optimal geometry of the vascular bifurcation is interpreted on the basis of the principle of minimum work.
(20) The bone stiffness also correlates strongly with the geometry (area) and slightly with bone mass; however, an unexpectedly low correlation was found between stiffness and density.
Mathematics
Definition:
(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.