What's the difference between duality and mathematical?

Duality


Definition:

  • (n.) The quality or condition of being two or twofold; dual character or usage.

Example Sentences:

  • (1) The most important conclusions for basic research on 'fast fibers', for clinical ophthalmo-electromyography and for the duality concept of eyemovement control are given.
  • (2) New-Hebrides Condominium, an archipelago in the South Pacific, is a country with a special socio-political environment, due to the duality of its French-British regime.
  • (3) It is not easy to see a simple outline in the progress of the idea of duality, because it did not develop evenly or reach the stage of general acceptance.
  • (4) The intracranial click image with long disparities and duality threshold was evaluated.
  • (5) The weight distribution of S for RI demonstrates the heterogeneity of this material, and the variation in the weight distribution with ionic strength demonstrates the duality of structure in RI.
  • (6) We show that the diversity-selection duality of Darwinian evolution is achieved at this state if we start from four different monomers capable of forming two complementary pairs.
  • (7) These observations give a new convincing support of the genetic basis of the molecular duality of DNA ligases.
  • (8) It is a show, in some ways, nostalgic for the dualities of 60s protest (currently celebrated in the V&A exhibition You Say You Want a Revolution?
  • (9) The existence of two types of neurons corresponding to these two fibres cannot yet be asserted, but seems very likely, perhaps connected with the hormonal duality of the magnocellular nuclei.
  • (10) In the light of the cases reported, it would appear that the scintigraphic picture of the "hot" nodule is more in favor of a duality between the latter and healthy tissue with respect to iodine than of a hypersensitivity to TSH.
  • (11) As a consequence, family attachment styles, which proceed-throughout development-together with personal identity construction processes, stress the notion of relationship as a dialectical and interactive process, defining the irreducible duality of human experience, in which the personal individuality construction is linked, since the earliest phases of life, to the significant relationships.
  • (12) Collectively, these findings demonstrate that ET-1 exerts a potent duality of action in rabbit TSM which varies significantly with maturation, wherein 1) age-dependent differences in airway relaxation are associated with changes in the evoked release of bronchodilatory prostaglandins and 2) maturational differences in airway contraction are associated with changes in Ins(1,4,5)P3 accumulation and extracellular Ca2+ mobilization, coupled to differences in PKC activation.
  • (13) An explanation of this apparent duality is suggested by recent reports that Bof is a corepressor of genes that are regulated by the phage C1 repressor, including the autoregulated c1 gene itself.
  • (14) We discuss whether this duality is caused by the triggering of different B cell subpopulations at different developmental stages, preprogramed to one or the other pathway or whether the final direction of development depends on the microenvironment of individual dividing cells.
  • (15) Duality between automatism and interactivity is provided.
  • (16) The transformation group has the following properties: duality of invariance, non-divergency of transformations produced, and availability of indirect test of invariance.
  • (17) Related to this, few appreciate that the perceived duality of options constituted by "sampling by exposure" and "sampling by outcome" is, similarly, but an illusion.
  • (18) For uncovering striking evidence of strong-weak duality in certain supersymmetric string theories and gauge theories, opening the path to the realisation that all string theories are different limits of the same underlying theory.
  • (19) For contributions to physics spanning topics such as new applications of topology to physics, non-perturbative duality symmetries, models of particle physics derived from string theory, dark matter detection, and the twistor-string approach to particle scattering amplitudes, as well as numerous applications of quantum field theory to mathematics.
  • (20) The rates of decay of virus neutralizing and haemagglutination inhibition antibodies in vaccinated birds showed a divergence indicating the possible duality of antibodies measured in serum neutralization and haemagglutination inhibition tests.

Mathematical


Definition:

  • (a.) Of or pertaining to mathematics; according to mathematics; hence, theoretically precise; accurate; as, mathematical geography; mathematical instruments; mathematical exactness.

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.