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It's the number always represented by ' e ' . Among a lot of

other things, it's the base of "natural" logs.

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What are the applicaton of fourier series?

It can be used in function approximation, especially in physics and numerical analysis and system & signals. Actually, the essence is that the basis of series is orthorgonal.


What is the best definition of a variable?

Symbols used to represent unspecified numbers or values.


Why we draw tangent in newton raphson method?

A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.


An example how logarithms are used to explain a real life occurance?

not sure exaclty what you asking, but if ur asking for an example of what logarithms are used for in real life, then there are a heaps of examples. briefly, some examples are banks use logarithmic functions to calculate the accumilation of interest in bank accounts over the years (eg. Interest = xyz^0.01k), engineers use it to determine how quick things dry/cool down, etc. if u want a proper algebratic example, here is newtons law of cooling which is: y=yi x e^-kt where: y - different between temprature of body and the constant temp of room yi - initial temprature difference of body and room e - eulers number (2.718...) t - time in mins k - constant for that particular body (usually what u are trying to find out in class tasks) using logarithms, newtons law can predict how how a body (such as cup of coffee) will be after any given period of time. This was the most practicle example i could think of ;) Nick


Equation for linear approximation?

The general equation for a linear approximation is f(x) ≈ f(x0) + f'(x0)(x-x0) where f(x0) is the value of the function at x0 and f'(x0) is the derivative at x0. This describes a tangent line used to approximate the function. In higher order functions, the same concept can be applied. f(x,y) ≈ f(x0,y0) + fx(x0,y0)(x-x0) + fy(x0,y0)(y-y0) where f(x0,y0) is the value of the function at (x0,y0), fx(x0,y0) is the partial derivative with respect to x at (x0,y0), and fy(x0,y0) is the partial derivative with respect to y at (x0,y0). This describes a tangent plane used to approximate a surface.

Related Questions

Why do you multiply or add logarithms when working with frequencies?

I have seen logarithms used with decibels, which are used to measure power or intensity; not with frequencies.


How are logarithms used in electrical engineering?

Electrical engineers use logarithms to work on signal Decay.


When does Exponents used to solve a math problem?

common logarithms, natural logarithms, monatary calculations, etc.


How are radio waves used in math?

Logarithms


What is Approximation for pi?

3.14 is the commonly used approximation


What should you include in a paper about Logarithms?

you should include the definition of logarithms how to solve logarithmic equations how they are used in applications of math and everyday life how to graph logarithms explain how logarithms are the inverses of exponential how to graph exponentials importance of exponential functions(growth and decay ex.) pandemics, population)


How are logarithms used in finance to calculate compound interest and investment growth?

Logarithms are used in finance to calculate compound interest and investment growth by helping to determine the time it takes for an investment to double in value. This is done by using the formula A P(1 r/n)(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years the money is invested for. Logarithms are used to solve for the variable t in this formula, allowing investors to predict how long it will take for their investment to double in value.


When and why can the Boltzmann approximation be used?

The Boltzmann approximation can be used when the particles in a system are not too close together and when the temperature is not too low. This approximation simplifies the calculations of the behavior of particles in a gas by assuming that they move independently of each other.


Why we always take base 10 in logarithm?

Actually we don't. Any number greater than 1 can be used; it need not even be a whole number. In computer science, the number 2 is often used as a base; in advanced math, the number "e" is often used - this number is approximately 2.71828..., and for theoretical reasons it is considered to be the most "natural" base for logarithms. In fact, the logarithms in base "e" are called "natural logarithms".


What is the name of the variable that's used to predict another variable?

The variable that is used to predict another variable is usually called the "independent variable" or the "predictor variable." This variable is manipulated or controlled in an experiment to observe its effect on the outcome variable, which is known as the "dependent variable."


Which symbol is used with a variable to indicate to the script that you are reading the contents of that variable?

Which symbol is used with a variable to indicate to the script that you are reading the contents of that variable?


What fraction is sometimes used as an approximation of pi?

It is: 22/7