We have seen that any exponential function can be written as a logarithmic function and vice versa. We have used exponents to solve logarithmic equations and logarithms to solve exponential equations. We are now ready to combine our skills to solve equations that model real-world situations, ...
Here we should briefly mention psychedelic drugs, as they seem to be able to increase theenergy of one’s consciousness(and in some sense “multiply the amount of consciousness“) in a way that grows non-linearly as a functio...
What are some real-life applications of logarithms? Logarithms are used in many fields, including science, engineering, finance, and economics. Some examples of their applications include measuring the magnitude of earthquakes, calculating the pH of a solution, and determining the intensity of sound ...
That voltage is a representation of the decibel value of the applied signal, due to the accurate exponential (sometimes called “linear-in-dB”) gain function. By giving the detector a square-law response, it is the power-equivalent (rms) value of the applied signal that is measured. This...
y = a x have certain features. What point do they have in common? ___ What is the domain? ___ What is the range? ___ Solving basic exponential equations can be accomplished by using the fact that if ! a x = a y , then ! x = y Examples) Solve for x. 1) ! 2 x+1 =8...
(160dB) • High signal bandwidth: – 20MHz at 10µA to 10mA – 6.3MHz at 1μA – 90kHz at 1nA • High-accuracy transfer function: – 0.2% max log conformity error (10nA to 100µA) • Integrated reference current (1μA) and reference voltages (2.5V and 1.65V) • ...
Fluctuations in emission/injection are due to the continual tiny changes in the carrier energy against the work- function of a cathode, or the band-gap energy of a semiconductor junction. In the latter case (unlike a vacuum diode), some of the injected carriers recombine in the base region(...
The logarithmic integral (in the "American" convention; Abramowitz and Stegun 1972; Edwards 2001, p. 26), is defined for real as (1) (2) Here, PV denotes Cauchy principal value of the integral, and the function has a singularity at . The logarithmic integral defined in this way ...