What's the difference between mathematics and number?

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.

Number


Definition:

  • (n.) That which admits of being counted or reckoned; a unit, or an aggregate of units; a numerable aggregate or collection of individuals; an assemblage made up of distinct things expressible by figures.
  • (n.) A collection of many individuals; a numerous assemblage; a multitude; many.
  • (n.) A numeral; a word or character denoting a number; as, to put a number on a door.
  • (n.) Numerousness; multitude.
  • (n.) The state or quality of being numerable or countable.
  • (n.) Quantity, regarded as made up of an aggregate of separate things.
  • (n.) That which is regulated by count; poetic measure, as divisions of time or number of syllables; hence, poetry, verse; -- chiefly used in the plural.
  • (n.) The distinction of objects, as one, or more than one (in some languages, as one, or two, or more than two), expressed (usually) by a difference in the form of a word; thus, the singular number and the plural number are the names of the forms of a word indicating the objects denoted or referred to by the word as one, or as more than one.
  • (n.) The measure of the relation between quantities or things of the same kind; that abstract species of quantity which is capable of being expressed by figures; numerical value.
  • (n.) To count; to reckon; to ascertain the units of; to enumerate.
  • (n.) To reckon as one of a collection or multitude.
  • (n.) To give or apply a number or numbers to; to assign the place of in a series by order of number; to designate the place of by a number or numeral; as, to number the houses in a street, or the apartments in a building.
  • (n.) To amount; to equal in number; to contain; to consist of; as, the army numbers fifty thousand.

Example Sentences:

  • (1) However, as other patients who lived at the periphery of the Valserine valley do not appear to be related to any patients living in the valley, and because there has been considerable immigration into the valley, a number of hypotheses to explain the distribution of the disease in the region remain possible.
  • (2) These included bringing in the A* grade, reducing the number of modules from six to four, and a greater attempt to assess the whole course at the end.
  • (3) When micF was cloned into a high-copy-number plasmid it repressed ompF gene expression, whereas when cloned into a low-copy-number plasmid it did not.
  • (4) Use of the improved operative technique contributed to reduction in number of complications.
  • (5) Nutritionally rehabilitated animals had similar numbers of nucleoli to control rats.
  • (6) Simplicity, high capacity, low cost and label stability, combined with relatively high clinical sensitivity make the method suitable for cost effective screening of large numbers of samples.
  • (7) The hemodynamic efficiency of the drive was tested in a number of in vivo experiments.
  • (8) The final number of fibers--140,000-165,000--is reached by the sixth week after birth.
  • (9) On removal of selective pressure, the His+ phenotype was lost more readily than the Ura+ Trp+ markers, with a corresponding decrease in plasmid copy number.
  • (10) This article describes a number of syndromes affecting the nail unit.
  • (11) At the time, with a regular supply of British immigrants arriving in large numbers in Australia, Biggs was able to blend in well as "Terry Cook", a carpenter, so well in fact that his wife, Charmian, was able to join him with his three sons.
  • (12) Since 1979 there has been an increase of 17,122 in the number of beds available in nursing homes.
  • (13) Other haematological parameters remained normal, with the exception of the absolute number of lymphocytes, which initially fell sharply but soon returned to, and even exceeded, control levels.
  • (14) All the twins were born in years 1973-1987, the total number was 2,226 boys and 2,302 girls.
  • (15) The number of neoplastic cells in each cell suspension was determined by cytologic criteria.
  • (16) aeruginosa and Enterococci) were significantly reduced in number during the manipulation (Fig.
  • (17) Because of the small number of patients reported in the world literature and lack of controlled studies, the treatment of small cell carcinoma of the larynx remains controversial; this retrospective analysis suggests that combination chemotherapy plus radiation offers the best chance for cure.
  • (18) Further, at the end of treatment fewer patients had depressive symptoms and the total daily number of hours of wellbeing and normal movement increased.
  • (19) The country has no offshore wind farms, though a number of projects are in the research phase to determine their profitability.
  • (20) Despite a 10-year deadline to have the same number of ethnic minority officers in the ranks as in the populations they serve, the target was missed and police are thousands of officers short.