(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.
Trigonometry
Definition:
(n.) That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles.
(n.) A treatise in this science.
Example Sentences:
(1) For treatment of all fields at 100 cm source to axis distance (SAD) the lateral placement and depth of the set-up point may be determined by simulation and simple trigonometry.
(2) Complete utilization of the orientational constraints derived from these orientation-dependent nuclear spin interactions in restricting the conformational space is most effectively achieved by utilizing spherical trigonometry.
(3) The method presented is based upon concepts in common use in surgical ophthalmology and requires only simple mathematical procedures, familiar to all with a background in algebra and trigonometry.
(4) Coding this software took 31 engineers more than 100,000 hours – and used algebra, probability theory, geometry and trigonometry to generate information about the robot’s location.
(5) Maureen Wood Bradford on Avon, Wiltshire • I have forgotten how to do quadratic equations, algebra, trigonometry and all the Latin verbs I had to learn, but I will never forget the words of Shakespeare that a passionate, dedicated English teacher delivered and often acted for us at my 1950s grammar school.
(6) Basing on 31 normal skulls, the lateral projections of some points relative to the bony structure near the nasopharynx were located under the simulator, followed by drawing it on a sheet of paper with the aid of geometry and trigonometry.
(7) The extent of the length bias could be accurately predicted from the angular shift by simple trigonometry.