Examples of using Exponential function in English and their translations into Russian
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Let's start with an exponential function.
The fractional exponential function of Rabotnov is chosen as a kernel of integral operator.
This parameter does not replace the Exponential function.
The use of exponential functions would move the scale of assessments away from the principle of capacity to pay.
Later, in 1697,Johann Bernoulli studied the calculus of the exponential function.
It connects trigonometric functions with exponential functions in the complex plane via Euler's formula.
Do scientific operations such as trigonometric,logarithmic, and exponential functions.
This exponential function can be inverted to form a complex logarithm that exhibits most of the properties of the ordinary logarithm.
Solve the initial value problem with a sum of exponential functions as initial data.
It is based on the form of the function being integrated and on methods for integrating rational functions, radicals,logarithms, and exponential functions.
Since the multiplicative property still works for the complex exponential function, ez ez+2πki, for all complex z and integers k.
It has been shown that the number of snarks for a given even number of vertices is bounded below by an exponential function.
Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions. .
The coil inductivity causes the current to increase slowly as an exponential function.
Other examples of nonlinear functions include exponential functions, logarithmic functions, trigonometric functions, power functions, Gaussian function, and Lorenz curves.
Solving exponential equations andinequalities using properties of exponential functions.
The exponential functions are eigenfunctions of differentiation, which means that this representation transforms linear differential equations with constant coefficients into ordinary algebraic ones Evans 1998.
The matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.
Absolute, linearwith exponential functions or logarithmic and other mathematical monsters of this kind, you still have to do is install the application Photomath, open it and scan the port on the page where the exercise you want to resolve is written.
In the real and complex numbers,addition and multiplication can be interchanged by the exponential function: ea+ b ea eb.
Alternatively, if the exponential function has been defined first, say by using an infinite series, the natural logarithm may be defined as its inverse function, i.e., ln is that function such that exp(ln(x)) x.
For a flat flame perturbation wavelength const andabove relations after integration leads to an exponential function.
These formulas can, therefore, be used to define the Theta functions over other fields where the exponential function might not be everywhere defined, such as fields of p-adic numbers.
By applying the flip-flop method of Chvátal(1973) to the Petersen graph and the flower snark, it is possible to show that the number of hypohamiltonian graphs, and more specifically the number of hypohamiltonian snarks,grows as an exponential function of the number of vertices.
Let y f( x){\displaystyle y=f(x)} be an elementary Transcendental function, that is the exponential function, or a trigonometric function, or an elementary algebraic function, or their superposition, or their inverse, or a superposition of the inverses.
Thus, it is of interest to study quotients of polynomials of given degrees that approximate the exponential function the best.
There are many functions whose antiderivatives, even though they exist,cannot be expressed in terms of elementary functions like polynomials, exponential functions, logarithms, trigonometric functions, inverse trigonometric functions and their combinations.
The best approximation between gearshift speeds andpower to mass ratio was found for exponential functions.
The fact is the probability density function to detect reaction products in the first instance is determined by the following exponential function correct for Poisson processes only.
For example, a conic helix may be defined as a spiralon a conic surface, with the distance to the apex an exponential function of θ.