What's the difference between logarithm and mantissa?

Logarithm

Definition:

(n.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division.

Example Sentences:

(1) The pattern of day to day variability in egg counts from individuals can be characterized by the linear relationship between the logarithms of the variances and means.
(2) A logarithmic relationship between closing tension and tensile strength was demonstrated using linear regression analysis with t = 6.18, p less than .0001, and R2 = .44.
(3) For the liver enzyme, the logarithm of the inhibition constant was linearly related to the number of carbon atoms in the saturated fatty acids whereas the muscle enzyme, which was generally more strongly inhibited, showed a nonlinear dependence.
(4) The results indicate that in confluent cultures, cells with high GGT activities have significantly higher cellular GSH content, and a linear correlation exists between the glutathione content and the logarithm of the GGT activity.
(5) The mean duration of the homosynaptic depression in healthy persons was 5200 ms. After the initial relative facilitation the time course of the homosynaptic depression corresponded to a logarithmic function of the interval between the conditioning and testing stimuli.
(6) This 20-h period was immediately followed by a 4-day logarithmic phase of virus production.
(7) The percentage inhibition of ATCase responds in a linear way to the logarithm of the concentration of PALA between 0.10 and 1.00 micrometer.
(8) There was a negative correlation (r = -0.59) between the logarithm of the spontaneous discharge rate and relative threshold at CF with the lowest spontaneous rate fibres having the highest thresholds and vice-versa.
(9) Mitochondrial membrane potential was not significantly affected by the cell culture density, as long as the cells were in the logarithmic phase of growth.
(10) The physiological effects of metronidazole on the growth, viability, fermentation end-product production and cellular morphology of Clostridium pasteurianum cells growing logarithmically were studied.
(11) The logarithm of the odds ratio between GTHR and c-erbA beta was 3.67, and therefore GTHR mapped to the c-erbA beta locus in this kindred.
(12) Logarithms of the rate of Ca2+ influx were plotted against values of delta psi.
(13) For B. subtilis, the logarithm of the inhibitory potency of most compounds increases linearly with the logarithm of the partition coefficient.
(14) By plotting logarithms of normalized radioactivities against PCR amplification cycles, straight lines were obtained with different slopes.
(15) The negative logarithm of the concentration displacing 50% of the tracer (pIC50), or producing 50% of the maximal contractile response (pEC50), was determined.
(16) When Monte Carlo simulations of clonal growth resulted in clones with large populations (> 50 cells), the population as a whole behaved in a deterministic fashion (logarithmic growth) similar to those observed in clinically observed neoplasms and consistent with other published models of tumour growth.
(17) The toxic effects of BaP to logarithmically growing NMuLi were inhibited 40% by 7,8 benzoflavone, and the inhibition was concentration dependent.
(18) Logarithmic conversion of the total spore count showed significant reduction in all indoor locations of air-conditioned homes.
(19) There was a close linear relationship (r = 0.903) between the optical density of the bioluminescent images and the logarithmic values of the tissue calcium ion concentration.
(20) Milk production per unit mammary wet weight, dry fat-free tissue, deoxyribonucleic acid, and ribonucleic acid were related to day of lactation by an equation of the form Y = aXbecX, where Y was milk production per unit mammary gland growth, X was day of lactation, e was the base of natural logarithms, and a, b, and c were constants.