What's the difference between mathematical and pattern?

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.

Pattern


Definition:

  • (n.) Anything proposed for imitation; an archetype; an exemplar; that which is to be, or is worthy to be, copied or imitated; as, a pattern of a machine.
  • (n.) A part showing the figure or quality of the whole; a specimen; a sample; an example; an instance.
  • (n.) Stuff sufficient for a garment; as, a dress pattern.
  • (n.) Figure or style of decoration; design; as, wall paper of a beautiful pattern.
  • (n.) Something made after a model; a copy.
  • (n.) Anything cut or formed to serve as a guide to cutting or forming objects; as, a dressmaker's pattern.
  • (n.) A full-sized model around which a mold of sand is made, to receive the melted metal. It is usually made of wood and in several parts, so as to be removed from the mold without injuring it.
  • (v. t.) To make or design (anything) by, from, or after, something that serves as a pattern; to copy; to model; to imitate.
  • (v. t.) To serve as an example for; also, to parallel.

Example Sentences:

  • (1) The patterns observed were: clusters of granules related to the cell membrane; positive staining localized to portions of the cell membrane, and, less commonly, the whole cell circumference.
  • (2) This paper discusses the typical echocardiographic patterns of a variety of important conditions concerning the mitral valve, the left ventricle, the interatrial and interventricular septum as well as the influence of respiration on the performance of echocardiograms.
  • (3) A change in the pattern of care of children with IDDM, led to a pronounced decrease in hospital use by this patient group.
  • (4) These eight large plasmids had indistinguishable EcoRI restriction patterns.
  • (5) Participants (n=165) entering a week-long outpatient education program completed a protocol measuring self-care patterns, glycosylated hemoglobin levels, and emotional well-being.
  • (6) The pattern of the stressor that causes a change in the pitch can be often identified only tentatively, if there is no additional information.
  • (7) The nuclear origin of the Ha antigen was confirmed by the speckled nuclear immunofluorescence staining pattern given by purified antibody to Ha obtained from a specific immune precipitate.
  • (8) The subcellular distribution of sialyltransferase and its product of action, sialic acid, was investigated in the undifferentiated cells of the rat intestinal crypts and compared with the pattern observed in the differentiated cells present in the surface epithelium.
  • (9) The histological pattern of tumor was identified in 28 cases.
  • (10) We evaluated the circadian pattern of gastric acidity by prolonged intraluminal pHmetry in 15 "responder" and 10 "nonresponder" duodenal ulcer patients after nocturnal administration of placebo, ranitidine, and famotidine.
  • (11) In the presence of insulin, a qualitatively similar pattern of increasing responses to albumin is observed; the enhancement of each response by insulin is, however, only slightly potentiated by higher albumin concentrations.
  • (12) It was the purpose of the present study to describe the normal pattern of the growth sites of the nasal septum according to age and sex by histological and microradiographical examination of human autopsy material.
  • (13) Together these observations suggest that cytotactin is an endogenous cell surface modulatory protein and provide a possible mechanism whereby cytotactin may contribute to pattern formation during development, regeneration, tumorigenesis, and wound healing.
  • (14) The significance of the differences in these two patterns of actin is discussed in terms of differences in the accommodative ability and static lens shape in these two animals.
  • (15) Chromatographic maps of DNA adducts demonstrated unique patterns of DNA adducts for each of the regions.
  • (16) A triphasic pattern was evident for the neck moments including a small phase which represented a seating of the headform on the nodding blocks of the uppermost ATD neck segment, and two larger phases of opposite polarity which represented the motion of the head relative to the trunk during the first 350 ms after impact.
  • (17) In the upper limb and facial forms of familial amyloidotic polyneuropathy first recorded in Swiss and Finns respectively, the differences in their patterns of neurological disease and ocular lesions could be the result of their amyloids deriving from proteins other than prealbumin.
  • (18) A murine keratinocyte cell line that is resistant to the growth-inhibitory effects of transforming growth factor beta 1 (TGF beta 1) was examined for differential gene expression patterns that may be related to the mechanism of the loss of TGF beta 1 responsiveness.
  • (19) The pattern and intensity were followed up for up to 15 days.
  • (20) LH and FSH levels in the group which were given low dose progesterone only, rose consistently after BSO and these patterns were similar to those seen in the control group.