How To Use Logarithmic In A Sentence
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The recent calculations reviewed in the article go beyond the valence approximation and attempt to improve the approach to continuum by a logarithmic factor relative to previous simulations.
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The logarithmic scale of the fresh mass and the linear scale of the dry mass together show how the initially exponential growth changes gradually into linear.
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It has altered the position of the siphuncle, has placed it in the centre instead of leaving it on the back, but it still whirls its spiral logarithmically as did the Ammonites in the earliest ages of the world's existence.
The Life of the Spider
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Different numbers of PCR cycles were performed to determine the logarithmic phase of the reaction.
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P is given on a logarithmic scale to illustrate the range of values.
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Please note that the 34-year performance has a logarithmic price scale.
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This pattern suggests a logarithmic growth curve with progressively diminishing advantage in performance with age.
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The scale is logarithmic so a solution with a pH value of 3 has 10 times as much hydrogen ion activity as one whose pH value is 4.
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In a statistical sense, therefore, the multiplicative model signifies independent additive effects on a logarithmic scale.
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On the basis of the definition of logarithmic spiral and of its particular characteristics, its aesthetic value is discussed.
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A logarithmic curve was fitted to the sampling curve in order to determine whether our standard sample size of 500 was sufficient to pass the inflection point of the diversity curve.
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Igniting with unstoppable force, the whole shuddering plot accumulates volume on a logarithmic scale before its explosive, bunker busting climax.
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This proves the great importance of KNOWING THE NATURAL LAWS for the human class of life, and making natural time-binding impulses conscious, for then only will the spiral give a logarithmical accumulation of the right kind, otherwise the biolyte will be “animal” in substance as well as in effect.
Manhood of Humanity.
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In this work, the logarithmic theory is used to calculate the amount of land subsidence.
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Gap fraction is computed by logarithmic averaging of the transmittances of subgroups of the data.
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After initial logarithmic progress growth plateaued sharply.
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The first is that the effect is exaggerated by plotting wealth on a logarithmic scale.
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During the early logarithmic phase of increase in log-likelihood, the genetic algorithm method of determining branch lengths seems to work quite well.
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A complete description of our method, including graphs on logarithmic scales, will appear later this year in the new statistical journal Biostatistics.
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Before we get carried away in praise of ourselves, note that we gain in breadth what we lose in precision, because we register the world's stimuli in logarithmic rather than linear increments.
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Because LOD scores are logarithmic, reducing the significance threshold by half greatly increases the power of a study.
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An analog calculator designed along the principle of a slide rule, it utilizes logarithmic and inverse logarithmic scales to quickly provide you with the correct firing solution.
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The scale is logarithmic so a solution with a pH value of 3 has 10 times as much hydrogen ion activity as one whose pH value is 4.
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Heterogeneity in the risk difference and the odds ratio on a logarithmic scale was not significant in the 10 trials that provided data on mortality.
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Each culture should have been in logarithmic growth phase when loaded into the microplate.
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Data were also added from a New South Wales specimen and the result was corrected for logarithmic transformation bias.
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A complete description of our method, including graphs on logarithmic scales, will appear later this year in the new statistical journal Biostatistics.
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There is a divergent self-energy for the electron due to the energy of its coulomb field that diverges much faster (power law) in the classical case than in the quantum case (logarithmically), considered as a function of the cutoff on the “size” of the electon.
String Theory is Losing the Public Debate
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Meanwhile, the energy bounds (assuming bounded energy) now give so that there is now a logarithmically wide window of opportunity for nonlinear behaviour at high frequencies. from (9), but we can do a little bit better if we invoke the heuristic of equipartition of energy, which states that the kinetic portion of the energy is roughly in balance with the potential portion
What's new
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The vertical velocity profile for such channels approximates to a logarithmic curve.
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Under the assumptions that genes act multiplicatively (i.e., there is no epistasis on a logarithmic scale), the log of this ratio should decline linearly over time.
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In that the size scale is logarithmic in reality the distribution approximates to log normal.
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In a statistical sense, therefore, the multiplicative model signifies independent additive effects on a logarithmic scale.
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An accretional growth system that builds the special logarithmic curve of the coiled conch requires a suite of parameters, which are maintained in a very narrow zone of tolerance.
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Recall that decibels are on a logarithmic scale, so this 4dB increase represents more than a twofold increase in the sound level of the overall fan noise output of the test machine we used.
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To normalize the 2 distributions, we performed the analysis with data transformed on a logarithmic scale.
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The regression model fitting a logarithmic curve was significant.
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He later added that he was attracted to their 'logarithmic curve'.
Times, Sunday Times
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Point and fi gure is done on equal-size squared paper (arithmetical graph paper) rather than the semi-logarithmical chart paper that about half the line-and-bar chartists use.
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The figure shows a parabola which illustrates the connection between reaction speed (on a logarithmic scale) and driving force (expressed in kcal/mol) for an electron transfer reaction.
Press Release: The 1992 Nobel Prize in Chemistry
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Attempts to fit other functions, such as quadratics, other polynomials, logarithmic functions and exponentials all produced very small R-squared values.
SeekingAlpha.com: Home Page
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In this work, the logarithmic theory is used to calculate the amount of land subsidence.
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A quantitative measure of the damping is provided by the logarithmic decrement defined as the logarithmic decrease in amplitude per cycle.
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He also investigated caustic curves and in particular he studied these associated curves of the parabola, the logarithmic spiral and epicycloids around 1692.
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We know that the ear operates on a logarithmic scale because harmonies have a special meaning and harmonies are ratios and ratios are easiest to manipulate on a logarithmic scale.
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The STEM topics cover math through a solid precalculus course including basic vector algebra, trigonometry, exponential and logarithmic functions, and advanced understanding of polynomials.
The Common Core and the Tech Industry « Steve Wildstrom on Tech
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For each concentration, the dynamic surface tension data are simply fitted by a logarithmic function.
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Cotes was particularly pleased with his rectification of the logarithmic curve as he makes clear in a letter to his friend William Jones in 1712.
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Data are from US national ambulatory medical care surveys, 1989-94; axes are on the logarithmic scale.
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The inlet (1) consists of two curved sheets that form a logarithmical spiral, welded to two plane side panels to form a rectangular inlet section and nozzle.
1. CONSTRAINTS AND PROBLEMS
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A logarithmic scale is used to better represent the multiplier's relative magnitudes.
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This is clear from the plots using logarithmic scales, but the curved plots with an arithmetical scale on the vertical axes may falsely suggest a threshold.
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Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
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The change in amino acid concentration (S / + S) is transformed to logarithmic scale for convenience of presentation.
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We applied logarithmic transformation to the data when needed to reduce peak intensity ranges.
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data plotted logarithmically with respect to time is shown in Figure 2
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The rate constants are transformed to a logarithmic scale to ensure an even distribution over the large search space.
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The logarithmic link function is a popular choice to use with this error distribution.
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Plane diffraction grating, logarithmic amplifier and stable constant- current source are used in the system, thus the performance of the instrument is enhanced significantly and the cost is reduced.
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The horizontal axis is drawn using a logarithmic scale.
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These exponential or logarithmic relationship, that characterize harmonious growth with changing proportions, are termed " allometric ".
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Craig published several more papers on the logarithmic curve, the curve of quickest descent and quadrature of figures.
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Sound pressure against the ears is measured in decibels on a scale that is logarithmic.
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In the simplest case, skill can be considered like logarithmic curve.
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The French government, in their desire to promote the extension of the decimal system, had ordered the construction of logarithmical tables of vast extent; but the great labour and expense involved in the undertaking prevented the design from being carried out.
Industrial Biography
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Another measure, the geometric mean cost, can be derived by transforming the costs onto a logarithmic scale, calculating the average, and transforming this back.
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The article describes reservoir macroscopic heterogeneity with statistical method, logarithmic normal curve method and Lohreng curve method.
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Indeed, the specimen itself appears to have been deformed such that it has a slight logarithmic curvature when viewed from the left lateral edge.
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After initial logarithmic progress growth plateaued sharply.
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To control for differences in the age distribution, we analysed the logarithmic transformed variables using analysis of covariance, in which we included age as a continuous covariate.
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Craig published several more papers on the logarithmic curve, the curve of quickest descent and quadrature of figures.
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The first tabulates logarithms of the sine, cosine, tangent and cotangent functions at 1 intervals and shows how to solve triangles using logarithmic functions.
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The set of points for this scenario was best fitted by a logarithmic curve.
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The dynamics of accumulatively appeared family, genus, and species in the vegetation succession process were well described by logarithmic function.
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In a double logarithmic plot, the behavior is the following.
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The numbers of links to other domains in such graphs were logarithmically binned, and frequencies were thus obtained.
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Data were analyzed using Generalized Linear Models with a logarithmic link function.
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I only mention in a cursory way the logarithmic spiral of the spider's web, the precise curves realized without instruments of any kind by the Coleoptera and Hymenoptera in cutting leaves, the stereometry of the aphides.
Lola or, The Thought and Speech of Animals
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Only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
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Another intriguing property of the logarithmic spiral is that it is equiangular: if you draw a straight line from the pole to any point on the spiral curve, the line always cuts the curve at precisely the same angle.
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All cultures were harvested in late logarithmic phase.
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The obtained numbers do not vary much, due to the logarithmic dependence on the segment sizes.
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Levels of all metals were transformed logarithmically for the analysis, and results are presented as geometric means (the antilog of the mean of the log values) - adjusted by groups of age and sex - and their 95% confidence intervals.
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Although the scatter in information loss as a function of these simple distance element transformations appears significant on a logarithmic scale, it is much less significant on a linear scale.
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Other curvature geometries such as elliptical, logarithmic parabolic, and log spiral can be used to accommodate different source or image geometries, though we'll restrict this discussion to the symmetrical toroidal geometry.
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The vertical axis shows decreases from the neutral value, 1 - E, on a logarithmic scale.
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He later added that he was attracted to their 'logarithmic curve'.
Times, Sunday Times
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After initial logarithmic progress growth plateaued sharply.
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Seberger achieved a 40dB reduction in sound, which, because the decibel measurement is logarithmic, means that the pfffft you hear is 1 / 100th that of the unmuffled gunshot.
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As we were walking, I tried to tune out as Trent and Tristan got into a lively conversation about logarithmic functions.
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The decibel scale is logarithmic - a noise level of 30 decibels is therefore ten thousand times quieter than the sound of a conversation.
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In these procedures, except for age, distributions of the biological measurements were normalized by logarithmic transformation.
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A logarithmic transformation of the percentage of translocations and breaks was therefore performed, which resulted in a considerable straightening of the response curve.
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The first is that the effect is exaggerated by plotting wealth on a logarithmic scale.
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The longest transposals look rather boring, since they are all minor variations: congregationalists congregationalists congregationalist congregationalist algorithmically logarithmically representatives representatives congregational congregational establishments establishments egocentrically geocentrically certifications rectifications consolidations disconsolation conservatoires conservatories
Wolfram Blog : Word Play with Mathematica
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In the bottom portion of the figure, the logarithmic transform of power is presented.
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How in the world can someone understand a paper describing the allometric law relating metabolic rate to body mass unless they understand power law relations, exponential and logarithmic functions, and linear regression?
How would *you* strengthen science in the U.S.? - The Panda's Thumb
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To estimate the length of the period of cell division, the increasing patterns of cell number of the mesocarp in all cultivars were fitted by logarithmic curves.
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The first tabulates logarithms of the sine, cosine, tangent and cotangent functions at 1 intervals and shows how to solve triangles using logarithmic functions.
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Because the range of sound pressures that can be heard is so large, a logarithmic scale of decibels is used to measure sound intensity.
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Another measure, the geometric mean cost, can be derived by transforming the costs onto a logarithmic scale, calculating the average, and transforming this back.
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Equal intervals on a logarithmic scale correspond to equal proportions on an arithmetic scale.
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He also investigated caustic curves and in particular he studied these associated curves of the parabola, the logarithmic spiral and epicycloids around 1692.
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The logarithmic scale of time is used to condense results into a small space.
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To visualize these multiple decay components, the inset in Fig.12 A shows a logarithmic plot of the anisotropy decay and the corresponding fit curve.
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I know this may sound daunting but it's a matter of opening up the flash, discharging the capacitor very important i.e life threatening: an analogue voltmeter across the connections will do the trick disconnecting the two wires from the light sensor and soldering them onto a logarithmic potentiometer which will cost you about £1.30 from Maplin.
Manual Flashes: Two Debuts and an Adoption
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Correlations between variables were investigated by two-tailed Pearson correlation analysis of natural logarithmic transformed data.
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Values of percentage of maximum conductance were transformed using a natural logarithmic transformation to meet normality assumptions.
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In that the size scale is logarithmic in reality the distribution approximates to log normal.
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Open and closed time histograms were plotted using a logarithmic abscissa and a square root ordinate and fitted to the sum of exponential functions by maximal likelihood using the program TACFit (Bruxton Corporation, Seattle, WA).
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It investigates the use of some functional equations in order to calculate the differentials of logarithmic and trigonometrical functions as well as the binomial expansion and Taylor formula.
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The temperature increment logarithmically decreases toward the periphery of the heating beam, causing a fluid convection of 8 m/s inside a 180 m thick microchamber.
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Nick has a new theory - you can only persuade people to upgrade on a logarithmic scale.
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· shaded, logarithmical, gradient - and edge-detected, local contrast representation, Canny lines
Softpedia - Windows - All
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To normalize the 2 distributions, we performed the analysis with data transformed on a logarithmic scale.
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Semi-logarithmical charts have their uses, and their distortions.
Recently Uploaded Slideshows
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It investigates the use of some functional equations in order to calculate the differentials of logarithmic and trigonometrical functions as well as the binomial expansion and Taylor formula.
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Commonly used waveforms that are pre-programmed into the software include sin (x)/x, exponential rise-and-fall, logarithmic rise-and-fall, Gaussian, Lorentz, haversine and cardiac waveforms.
Electronicstalk - electronics industry news
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The first tabulates logarithms of the sine, cosine, tangent and cotangent functions at 1 intervals and shows how to solve triangles using logarithmic functions.
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The longest transposals look rather boring, since they are all minor variations: congregationalists congregationalists congregationalist congregationalist algorithmically logarithmically representatives representatives congregational congregational establishments establishments egocentrically geocentrically certifications rectifications consolidations disconsolation conservatoires conservatories
Wolfram Blog : Word Play with Mathematica
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The antilogarithm function is another name for the inverse of the logarithmic function.
Citizendium, the Citizens' Compendium - Recent changes [en]
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After initial logarithmic progress growth plateaued sharply.
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The data were plotted on a semi-logarithmic scale, so that the histogram peaks from 2C to 32C were evenly distributed along the abscissa.
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For unknown accented speech, by means of the logarithmic scores associated with each system and the maximum likelihood criterion, automatic accent classification of non-native speech can be made.
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The principle and device of machining logarithmic spiral profile shaft with form milling cutter are introduced.
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Because the range of sound pressures that can be heard is so large, a logarithmic scale of decibels is used to measure sound intensity.
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logarithmic function
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The results showed that m - nitrobenzene could induce the DNA strand breaks with significant logarithmic dose - effect relationship.
