What's the difference between illustrated and mathematics?

Illustrated


Definition:

  • (imp. & p. p.) of Illustrate

Example Sentences:

  • (1) By presenting the case history of a man who successively developed facial and trigeminal neural dysfunction after Mohs chemosurgery of a PCSCC, this paper documents histologically the occurrence of such neural invasion, and illustrates the utility of gadolinium-enhanced magnetic resonance scanning in patient management.
  • (2) In contrast, resting cells of strain CHA750 produced five times less IAA in a buffer (pH 6.0) containing 1 mM-L-tryptophan than did resting cells of the wild-type, illustrating the major contribution of TSO to IAA synthesis under these conditions.
  • (3) In this paper, we show representative experiments illustrating some characteristics of the procedure which may have wide application in clinical microbiology.
  • (4) A complex linkage between the cytoskeleton and the extracellular matrix is illustrated both in the cord forming Sertoli and granulosa cells, and in the adjacent mesenchymal cells.
  • (5) The following case report illustrates such a case as well as its successful treatment using the BICEPS model.
  • (6) The most important causal factor, well illustrated by pressure studies, was the presence of a dynamic or static deformity leading to local areas of peak pressure on insensitive skin.
  • (7) Some numerical evaluations are presented for the normal and exponential distributions of gene effects, illustrating the effects of the number of alleles and of the variation in allelic frequencies.
  • (8) Examples illustrate these elements as they emerge in group psychotherapy.
  • (9) Physicochemical characterization of the monomeric, diacetylenic phospholipids illustrates the similarities to naturally occurring lipids, similarities that are confirmed by the capacity to enrich the membranes of A. laidlawii to the level of 90% diacetylenic lipid.
  • (10) A theory of action is presented which illustrates that certain forms of action are ones from which learning is not possible, but when the form of action is experiential or creative, then learning from it follows--as a result of both monitoring and reflecting.
  • (11) Two illustrative cases are presented to demonstrate such features.
  • (12) The information from the literature and the data from the authors' clinical experience have been used to illustrate important points in the discussion.
  • (13) These results illustrate that NGF can promote either growth or differentiation of PC12 cells, and that myc or E1A alter the phenotypic responses to growth factors and hormones.
  • (14) The record includes postoperative drawings of the intraoperative field by Dr. Cushing, a sketch by Dr. McKenzie illustrating the postoperative sensory examination, and pre- and postoperative photographs of the patient.
  • (15) Analysis of this mutant illustrates that indirect flight muscles and jump muscles utilize different mechanisms for alternative RNA splicing.
  • (16) Illustration by Andrzej Krause Photograph: Guardian The Foreign Office attributed the forgotten boxes to "an earlier misunderstanding about contents" and stated that there needed to be an "improvement in archive management".
  • (17) Although ET1 and ET2 binding sites were found in rat lung membranes, a selective ET1 receptor antagonist, BQ-123 (10 microM), did not displace [125I]-endothelin-1 ([125I]ET-1) from ET2 sites, illustrating the selectivity of the angatonist for ET1 receptors.
  • (18) The disorder illustrates the problem of variable expressivity of a trait which makes it difficult to predict the risk of having an affected child when only one feature of a syndrome is present in a relative of a fully affected patient.
  • (19) These problems are illustrated by a clinical vignette, and alternative approaches are explored.
  • (20) This case illustrates that lateral pontine and extrapontine myelinolysis can be associated with hypernatremia and hyperosmolality.

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.