What's the difference between exponential and function?

Exponential


Definition:

  • (a.) Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.

Example Sentences:

  • (1) During the development of Shvets' leukosis, the weight of spleen and lymph glands and their lymphocyte content change enormously while the number of plasmocytes rises exponentially.
  • (2) When cultures were pulse labeled for 15 min and then incubated under chase conditions for 105 min, the amount of degraded collagen attained a value equal to approximately 20% of the amount synthesized during the labeling period; the data were fit with a simple exponential function that had a 40-min rise time and a 12-min lag time.
  • (3) The final model has a probability 0.08 of underlying survival time being zero and, given non-zero survival time, takes the form of an exponential distribution with mean of 14.95 months.
  • (4) Initial exposure of cells to low concentrations of either H2O2 or xanthine oxidase resulted in a transient increase in membrane potential relative to control cells (P less than 0.001), followed by an exponential decline in potential (P less than 0.001).
  • (5) In WI-38, a normal human fibroblast, the rates of degradation of short lived and long lived proteins are identical whether the cultures are growing exponentially or are density-inhibited.
  • (6) The cells were taken from cultures in low-density balanced exponential growth, and the experiments were performed quickly so that the bacteria were in a uniform physiological state at the time of measurement.
  • (7) The mutant ribosomes prepared from the transition-phase cells have much lower activity (below 60%) for poly(U)-directed polyphenylalanine synthesis than those in exponentially growing or resting stationary-phase cells.
  • (8) 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.
  • (9) The age distribution for Caulobacter cells in an exponential population has been calculated (Appendix by Robert Tax) and used to analyze some of the results.
  • (10) It is the way these packages are constructed by a small cabal of longstanding advisers, drawing on the mechanics of game theory, that has driven the exponential increases in value over the past two decades.
  • (11) Stepwise depolarizations from the holding potential (-67 to -83 mV) to a potential which varied from -10 to +63 mV resulted in an exponential decline of h from its initial level to a final, non-zero level.
  • (12) Using this method, proteins involved in rDNA transcription were purified from exponentially growing lymphosarcoma P1798 cells as well as cells treated with 0.1 microM dexamethasone.
  • (13) An attempt has been made to construct an assay potentially suitable for use with primary cultures of human tumours to measure the survival of exponentially growing monolayer cultures after exposure to anti-neoplastic drugs.
  • (14) Plasma levels of prolactin in DES-treated F344 rats increased exponentially through the 8 weeks, and the Nb2BA measurements were significantly greater than levels determined by RIA throughout the treatment period.
  • (15) It depended on the quantal content and 3-exponential EPC could be transformed in 2-exponential and later to monoexponential ones if increasing concentration of magnesium ions.
  • (16) Both of end-diastolic (EDV) and stroke volume (SV) were excellently expressed as a function of body surface area (BSA) with exponential relationship: LVEDV = 104.3 (BSA)1.61 ml (r = 0.93, p less than 0.001), RVEDV = 109.7 (BSA)1.68 ml (r = 0.90, p less than 0.001), LVSV = 68.1 (BSA)1.60 ml (r = 0.89, p less than 0.001) and RVSV = 66.8 (BSA)1.76 ml (r = 0.86, p less than 0.001).
  • (17) Three exponential terms were required to fit the data for each of the tracers in all six experiments.
  • (18) A "peeling" technique was used to estimate the time constants (tau 0 and tau 1) and coefficients (a0 and a1) of the first two exponential terms of the series of exponential terms whose sum represented the slope of the voltage response.
  • (19) When exponentially growing cells separated into cell cycle-specific fractions via centrifugal elutriation were heat shocked, the fractions enriched in small unbudded cells showed greater resistance to heat killing than did other cell cycle fractions.
  • (20) In 15 subjects the gall bladder emptied in relation to eating according to a double exponential function.

Function


Definition:

  • (n.) The act of executing or performing any duty, office, or calling; per formance.
  • (n.) The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
  • (n.) The natural or assigned action of any power or faculty, as of the soul, or of the intellect; the exertion of an energy of some determinate kind.
  • (n.) The course of action which peculiarly pertains to any public officer in church or state; the activity appropriate to any business or profession.
  • (n.) A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
  • (v. i.) Alt. of Functionate

Example Sentences:

  • (1) Activity of Na,K-ATPase activity was measured as a functional marker for synaptosomal membranes.
  • (2) Herpesviruses such as EBV, HSV, and human herpes virus-6 (HHV-6) have a marked tropism for cells of the immune system and therefore infection by these viruses may result in alterations of immune functions, leading at times to a state of immunosuppression.
  • (3) Among the pathological or abnormal ECGs (25.6%) prevailed the vegetative-functional heart diseases with 92%.
  • (4) The influence of the various concepts for the induction of lateral structure formation in lipid membranes on integral functional units like ionophores is demonstrated by analysing the single channel current fluctuations of gramicidin in bimolecular lipid membranes.
  • (5) We also show that proliferation of primary amnion cells is not dependent on a high c-fos expression, suggesting that the function of c-fos is more likely to be associated with other cellular functions in the differentiated amnion cell.
  • (6) Elements in the skin therefore seemed to enhance nerve regeneration and function.
  • (7) The possibility that the ventral nerve photoreceptor cells serve a neurosecretory function in the adult Limulus is discussed.
  • (8) Renal micropuncture and microdissection techniques with ultramicro fluid analysis have been applied to evaluate single nephron function in the skate, Raja erinacea.
  • (9) We have amended and added to Fabian's tables giving a functional assessment of individual masticatory muscles.
  • (10) Models able to describe the events of cellular growth and division and the dynamics of cell populations are useful for the understanding of functional control mechanisms and for the theoretical support for automated analysis of flow cytometric data and of cell volume distributions.
  • (11) Tests showed the cells survive and function normally in animals and reverse movement problems caused by Parkinson's in monkeys.
  • (12) Subsequently, the study of bundle branch block and A-V block cases revealed that no explicit correlation existed between histopathological changes and functional disturbances nor between disturbances in conduction (i.e.
  • (13) We have examined the insertion of bovine 17 alpha-hydroxylase (P45017 alpha) into the endoplasmic reticulum of COS 1 cells to evaluate the functional role of its hydrophobic amino-terminal sequence and membrane insertion.
  • (14) We sought additional evidence for an inverse relationship between functional CTL-target cell affinity on the one hand, and susceptibility of the CTL-mediated killing to inhibition by alpha LFA-1 and alpha Lyt-2,3 monoclonal antibodies on the other hand.
  • (15) The 14C-aminopyrine breath test was used to measure liver function in 14 normal subjects, 16 patients with alcoholic cirrhosis, 14 alcoholics without cirrhosis, and 29 patients taking a variety of drugs.
  • (16) The strongest predictor of non-sudden cardiac death was the New York Heart Association functional class.
  • (17) We maximize an objective function that includes both total production rate and product concentration.
  • (18) Hypertensive disorders in pregnancy are frequently accompanied by deteriorated renal functions and by pathological lesions in the glomeruli.
  • (19) Based on several previous studies, which demonstrated that sorbitol accumulation in human red blood cells (RBCs) was a function of ambient glucose concentrations, either in vitro or in vivo, our investigations were conducted to determine if RBC sorbitol accumulation would correlate with sorbitol accumulation in lens and nerve tissue of diabetic rats; the effect of sorbinil in reducing sorbitol levels in lens and nerve tissue of diabetic rats would be reflected by changes in RBC sorbitol; and sorbinil would reduce RBC sorbitol in diabetic man.
  • (20) However, the relationships between sociometric status and social perception varied as a function of task.

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