In addition, the quality of the fit can easily be assayed by measuring how well the current transient conforms to an exponential time course. |
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The best-fit linear trend line is indicated, along with an exponential trend line. |
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It handles general math functions, exponential and logarithmic functions, and trigonometric functions. |
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During the past two decades, we have witnessed exponential growth in the fields of genetics and molecular biology. |
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Having arrived at the above equation, we can use the exponential function and the natural logarithm to solve it. |
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For potassium, the shape of the curve could be fitted by a negative exponential function followed by a null linear function. |
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Polyploids show chromosome instability during exponential growth but do not manifest any other obvious growth defects. |
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The distributions become approximately exponential when the curve shown here asymptotes. |
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Thus we can use the two infinite products on the left-hand sides as two different q-extensions of the exponential function. |
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Just as the forward function resembles the exponential curve, the inverse function appears similar to the logarithm. |
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The dashed curve is an exponential distribution with a mean equal to the average effect of a fixed mutation in the simulation. |
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He found the standard addition formulas for hyperbolic functions, their derivatives and their relation to the exponential function. |
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That said, it's fairly obvious why the machine is selling at near exponential rates. |
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Notice that the formula involves the use of the exponential function, and that the angles must be in radians. |
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If we examine the mode of change of key measures overtime, all demonstrate roughly exponential growth at different rates. |
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Maybe they really believed that this system would produce a kind of rapid exponential growth that would be truly beneficial. |
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Subpopulations were not of constant size over time, but instead underwent exponential growth. |
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Napier also found exponential expressions for trigonometric functions, and introduced the decimal notation for fractions. |
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Those of you familiar with the mathematics of an exponential curve will note, however, that it is one of diminishing returns. |
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Different treatments have considered a quadratic function, an exponential quadratic function, or a step function. |
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These relationships between length or diameter and airway generation are well described by power and multiple exponential functions. |
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Notwithstanding that these growth rates are not precisely exponential, in all cases they are clearly not linear. |
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However, once again, the declining field strength is best explained by an exponential decay of the field due to a decaying electric current. |
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This alleviates the expensive computation of exponential functions involved in the distributions. |
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This will cause exponential network growth until the pool of polymerizable G-actin is locally depleted. |
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Recent years have witnessed an exponential growth of the twin evils of corruption and criminalization. |
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The two curvilinear models were exponential growth or decay curves and piecewise linear regression models. |
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But evangelical storefront churches in east London are growing, seemingly at exponential rates. |
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The chain rule will allow us to differentiate functions that consist of exponential brackets. |
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With very low inventories of gasoline and distillates in the US, any reduction in imports will have an exponential impact on prices. |
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Finding an optimal schedule for general sheet sequences is still exponential. |
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There has been an exponential explosion in the financial planning industry, a whole industry dedicated to making people wealthy. |
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The amount of information on the internet is increasing at an exponential rate. |
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This led to an exponential increase in the number of troops based in the area. |
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Species have a tendency to increase in size over generations at an exponential rate. |
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As you'll soon learn, an exponential increase in strength and effectiveness is best met with restraint and caution, not bloodlust. |
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Well, unfortunately the models produce linear warming with exponential increases in carbon dioxide. |
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Finally, the volume and flow of potentially relevant information has increased seemingly at an exponential rate. |
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Right now, the growth looks exponential, but increasing competition may yet dampen it down. |
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The MEPS model predicts an exponential decrease in recombination rate in relation to the level of divergence. |
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As technology increases at an exponential pace, I think the average citizen is embracing it at a much slower rate. |
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The organism has an exponential rate of evolution, and it is not long before the community is affected and the government takes over the case. |
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Now, with exponential increases in information, we can't possibly provide students with all they will need to know. |
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While my environmental knowledge is limited, I am learning at an exponential rate. |
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The gain reduction meters use an exponential scale and go from to 40 dB of reduction. |
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Futurologists have noted an exponential acceleration in the pace of technological change. |
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As the biotech and digital revolutions gather pace, so the cost of their primary product, knowledge, grows at an exponential rate. |
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Our studies on isogenic diploid and tetraploid cells show that tetraploids have increased chromosome instability during exponential growth. |
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In addition to experiencing exponential growth in data storage, organizations are also experiencing growth in user demand for that data. |
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The light line is an exponential, long-run trend line fitted to the time series by statistical regression. |
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We are now in a similar position with regard to biology, where we see an even sharper exponential increase in the amount of DNA sequence information to come. |
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Yet the exponential decline in the cost means that the threat posed by the fabrication of lethal bio-pathogens is rising. |
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This suggests that pollen viability corresponds more closely to the exponential quadratic model than to either the additive or the multiplicative model. |
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It's fashionable to turn a blind eye to the exponential growth of executive rewards beyond the dreams of avarice that bear no relationship to economic worth. |
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It's more of the same only faster and faster because the future's now coming at the speed of light and change is accelerating at an exponential rate. |
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Due to the exponential growth rate of companion animals, sterilization is a critical behavior that should be targeted in efforts to reduce overpopulation. |
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He has filled out considerably, seems to have aged at an exponential rate and, tonight, looks every inch the trendy uncle in his hooded top and combat trousers. |
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Each measurement series was then standardized by dividing the observed ring width values by the expected values, given the exponential or linear function. |
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Unlike its stalling economy, soccer in Japan is in something of a boom cycle, with its stock climbing at an exponential rate in the last few years. |
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This trend will only make more sense as the exponential cost drop continues. |
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Human civilisation has developed at an exponential rate since the renaissance, during a time when the environment has been in a relatively benign state. |
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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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I went back to my own locker and spent the next hour and a half working on a sheet of old Kinetics equations and graphing exponential functions to get me ready for class. |
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The numbers are still small, but the growth has been exponential since the first atheist church service was held in January. |
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Destroying biofilm sections in the exponential growth phase does not destroy bacteria in the biofilm that are in the static and stationary growth phases. |
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It was also in Berlin that he discovered the famous Euler's Identity giving the value of the exponential function in terms of the trigonometric functions sine and cosine. |
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The growth of skateboarding continues to increase at an exponential rate. |
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Right now the chip-music scene is growing at an exponential rate. |
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The analysis of kinetic signals in terms of exponential processes is pervasive, with numerous applications found in physics, chemistry, biophysics, and medicine. |
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Aggregated RMSE coefficients for hyperbolic discounting were significantly lower than those for the exponential equation. |
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This meant that they did not have exponential growth, as the United States did, leaving them with less room to fall. |
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In mathematics the term coalition is linked to an equation which uses the coalition model for exponential population growth. |
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Considered as a function on the real numbers, the exponential function is not onto. |
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Rutherford was the first to realize that all such elements decay in accordance with the same mathematical exponential formula. |
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As demand grew moderately in the United States and Western Europe, expanding economies such as China fueled exponential growth in demand. |
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The three most common forms of decline curves are exponential, hyperbolic, and harmonic. |
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It marked the beginning of an exponential growth of Western capital markets. |
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Hedgehogs were introduced to the North Island about 1906 and, from then on, their numbers increased at an exponential rate. |
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Many poor fell into debt because of this, forced to sell their land to the wealthy, which led to the exponential growth of large estates. |
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During the period of his governorship, the province experienced exponential growth. |
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The large impact of a relatively small growth rate over a long period of time is due to the power of exponential growth. |
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Since the 1998 Russian financial crisis, business sectors in Moscow have shown exponential rates of growth. |
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This logarithmical single-channel capacity scaling ultimately will not be able to support exponential traffic growth. |
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The analysis of the histograms of the grouped study data discloses they are close to lognormal or exponential distribution. |
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Every tiny ounce of pressure added has an exponential effect. |
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For the existence of centre manifolds, semigroups generated by linearized operators should have exponential trichotomies. |
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Understanding radioactive waste involves the scientific concept of a half-life and exponential decay functions. |
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It is also noted that natural degradation is high between 0 and 3 years and then slows down in a manner very similar to exponential decay. |
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In quantitative methods, a seemingly different application of the exponential equation appears in the form of the queuing or 'arrival' problem. |
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For bean, the same cubic exponential equation was fitted to the LA, GLDM, PEDM, SDM, TDM and RDM data. |
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The business has experienced several years of exponential growth. |
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The following exponential equation provides a good estimate of the dependency of the particle size on the HDPE-g-MAH concentration. |
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The shape of the curve was found to nearly perfectly follow the general exponential equation as expressed below. |
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The most beautiful formula for the mathematicians was Euler's formula, which links trigonometry with the exponential function. |
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At the threshold of this millennium, the exponential function was accepted as reflecting most phenomena. |
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We start with direct proportions and continue onward, culminating with an examination of exponential functions and logarithms. |
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Extended Prony method uses the linear combination of a group of exponential functions to fit a cycle of sampling data. |
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For the same simulation experiment, the remaining kurtosis after transformation by the Box-Cox and exponential functions is shown in Fig. |
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What we have seen over the past decades in US credit markets is compound, even exponential growth. |
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In addition, the CMVP continues its exponential growth by issuing the programs 122nd validation certificate. |
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Galvani Farad Device Galvanic, discrete galvanic, exponential and faradic current must be measured. |
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This early transcendental version treats exponential, logarithmic, and inverse trigonometric functions in chapter three. |
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The schools are only a small intervention envisioned to slow down the exponential growth in the number of illiterate and innumerate poor in India. |
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Of the factors of production, land and labor are declining in their contribution to production, and capital, both physical and human, is increasing at an exponential rate. |
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There can be little doubt that the definitive technological strategy problem at this time is how to deal with exponential growth in digital technologies. |
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This confirms the adequacy of the theoretical studies for actual ozonation process, because the consequence of theoretical studies is also an exponential equation. |
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For the SC case in which it was assumed for illustrative purposes that all Justices were replaced every year, it may be that the exponential distribution does not apply. |
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Studying the process of shrinkage in any given part produces a relationship between size and time that follows a function known as exponential decay. |
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Datasets were zero filled, phase corrected and the magnitude of the data was applied before fitting each individual peak to a single exponential decay function in Topspin. |
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Microelectromechanical systems, micromanufacturing, and nanotechnology could provide an exponential leap in microminiaturization for weapons, sensors and platforms. |
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Lots of meetings, lots of whoop-de-doo. exponential growth assured. |
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Over the next 400 million years or so, invertebrate diversity showed little overall trend and vertebrate diversity shows an overall exponential trend. |
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Radioactivity is one very frequently given example of exponential decay. |
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It has seen exponential growth since the turn of the millennium. |
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Compared to the previous 5 years of exponential increases in patent application, this stagnation correlates to the similar drop in GDP during the same time period. |
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This accordingly gives us another way of writing the exponential function, and also a way of calculating its value from a table of common antilogs. |
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