(1) of a centrosymmetric structure factor, (ii) effect of the presence of a centrosymmetric fragment in the asymmetric unit of a non-centrosymmetric space group, and (iii) effect of heavy scatterers in special positions of a non-centrosymmetric space group, where the imaginary part of the trigonometric structure factor for these special positions vanishes by symmetry.
(2) The photographic method verifies the exactitude of the trigonometrical method of correcting angles that we proposed in the previous paper.
(3) This view was based upon trigonometrical calculations of the spatial orientation of the annulus of prosthetic mitral valves in 25 patients.
(4) This apparently unknown fact has been trigonometrically calculated and experimentally shown by enlarging and diminishing the IPD in 20 subjects.
(5) The torsion angles of both lower legs and any inherent errors in measurement are evaluated by simple trigonometric calculation.
(6) A three-dimensional trigonometric equation was derived to calculate cruciate ligament tension as functions of AP force applied to the tibia and knee flexion angle (KFA).
(7) A trigonometric analysis reveals that a proximal closing wedge with a small (i.e., 2-mm) base will significantly elevate (approximately 1 cm), and slightly shorten a typical lesser metatarsal.
(8) It is based on describing the shape in terms of the coefficients a fifth-order trigonometric Fourier series.
(9) The differential expression for this pharmacokinetic system was converted to a reduced cubic equation suitable for calculators with trigonometric functions.
(10) Empirically based trigonometric expressions are suggested which provide the absorption correction as a function of the two angles of a spherical coordinate system.
(11) • There will be questions on algebra, including the laws of indices, co-ordinates, perpendicular lines, exponential and trigonometric relationships, as well as ratio, geometry and measures, and probability.
(12) The use of basic trigonometrical principles enables the translation of theoretical pre-operative estimations for the correction of bony deformities in long bones into accurate wedge resections at surgery without the need for templates or the use of goniometer in a restricted operative field.
(13) In this paper we define angles according to the Cobb definition, evaluate them trigonometrically and show them in two tables.
(14) The linear chains of atoms, or molecular graphs, are generated by solving a series of trigonometric equations within geometric constraints for a given set of atom types.
(15) After an instruction session, the pelvic-tilt angles of the right side of 20 men were calculated using trigonometric functions.
(16) Therefore other trigonometric parameters as for instance the Y-axis are preferable.
(17) The possibility of describing cestode infection dynamics in various host groups (e.g in birds, fishes and copepods) by trigonometric and parabolic polynomials is examined.
(18) Dependent variable data were subjected to a trigonometric transform algorithm and unique sinusoidal patterns were obtained for each of 18 formulations characterized by a total of 12 granulation and tablet parameters.
(19) A variety of methods of spectrophotometric assay of compounds in the presence of one or more irrelevant impurities have been recently described, employing, for example, the use of Legendre polynomials and trigonometric functions.
(20) If moments of the migration function higher than second are neglected, the eigenvalue equation is shown to be a simple trigonometric one, and the Fourier series giving the transient and stationary probabilities of allelism are summed in terms of elementary functions.
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.