What's the difference between exponent and exponential?

Exponent


Definition:

  • (n.) A number, letter, or any quantity written on the right hand of and above another quantity, and denoting how many times the latter is repeated as a factor to produce the power indicated
  • (n.) One who, or that which, stands as an index or representative; as, the leader of a party is the exponent of its principles.

Example Sentences:

  • (1) Two recent innovations in time-dose models are reviewed: the linear-quadratic (L-Q) and the variable-exponent Time-Dose Factor (TDF) models.
  • (2) With significant correlation, the experimental data show the statistics of the system not to be casual and Gaussian, but chaotic and persistent, with Hurst exponent <H> approximately 0.77 and fractal dimension <D> 1.23.
  • (3) However, the exponent N did vary with the level of effect and was in the range 0.33-0.51.
  • (4) The cells attached firmly, grew slowly, their growth curve showed inhibitory rate amounted to 52.87%, and cellular division exponent displayed their peak value 1.5 times less than that of MGc 80-3 cells.
  • (5) The Ca2+-activated K+ channel of the human red cell membrane showed single-file diffusion with a flux ratio exponent n of 2.7.
  • (6) In all 18 cases, power function exponents were higher for effects of dynamic displacement than for effects of dynamic force on discharge frequency.
  • (7) The estimated numerical coefficients (ki) for the three exponents (alpha, beta, gamma) of the basic dimensions (MLT) do not agree with those of the prevailing theories of biological similarity.
  • (8) The ti was substituted into the first derivative function of the three exponents to yield the kie.
  • (9) Concentration exponents, eta-values (the logarithmic values relating changes in rates of kill to specified changes in concentrations) and A-values (extrapolated D-values at 1% concentration), were determined.
  • (10) After conditioning hyperpolarizations, the log [ninfinity - nt] vs. time curve could not be fitted by a single exponent regardless of the power of n chosen.
  • (11) However, the data suggest significant nonlinearity in this plot, the magnitude of the exponent of the PE vs A relationship increasing by about 20% as A increases from 0.2 to 4.0.
  • (12) Just as Russia has long positioned itself as the defender of the “true Europe” against the alleged degenerate actual version, Russia today claims to be the chief exponent of genuine European values that it asserts the west as a whole has lost.
  • (13) Depending on the experimental conditions, 45Ca2+ washout in these cells was described by either two or three exponential functions, whereas 45Ca2+ uptake was described only by a two-exponent function.
  • (14) The M-intermediate formation (400 nm) and the L-intermediate decay (520 nm) were found to be well described by a sum of two exponents (time constants, tau 1 = 65 and tau 2 = 250 microseconds) for the wild-type bR and three exponents (tau 1 = 55 microseconds, tau 2 = 220 microseconds and tau 3 = 1 ms) for the D96N mutant of bR.
  • (15) Time and hence the time exponent was constant (14 days).
  • (16) Considerable differences were found in the value of the crack growth exponent (n) among the three ceramics.
  • (17) The surface mass exponents are regarded as another kind of scaling exponent, and the spectrum f(alpha) provides further detailed information about the surfaces of enzyme and protein.
  • (18) This exponent was larger than that seen when two series of graded heat stimuli of 120 s duration were used, indicating more sensitization despite the fact the total time of exposure to noxious heat was less.
  • (19) Tesco Mobile has been the leading exponent in this area.
  • (20) It was found that psychophysical power law governs VEP latency as well as RT with an exponent of about -0.32.

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.

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