Examples of using Exponential function in English and their translations into Romanian
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Exponential function.
Let's start with an exponential function.
The exponential function of a complex variable.
This inverse is the exponential function.
Exponential function: e raised to this power.
Well, you say, what's the exponential function?
Exponential function: raises a fixed number to a variable power.
Not the letter e, but the number whose exponential function is the derivative of itself.
The greatest shortcoming of the human race is our inability to understand the exponential function.
The conditions under which an exponential function increases or decreases are also investigated.
For example, Lindemann proved in 1882 that the exceptional set of the exponential function is just{0}.
One that grows more slowly than any exponential function of the form cn is called subexponential.
(Biological descriptions of organism growth, however, use this term for an exponential function.).
The function is called the exponential function, and its inverse is the natural logarithm, or logarithm to base.
Yields f(x)= a e- x+ bx e- x, where a and b are arbitrary constants, andex is the natural exponential function.
If you had something growing 5% per year, you would write the exponential function to show how large that growing quantity was, year after year.
The relaxation of the persistent photoconductivity with the typical time constant t=2.2- 25.31 s is described by the stretched exponential function.
Examples of transcendental functions include the exponential function, the logarithm, and the trigonometric functions. .
What I hope to do is,I hope to be able to convince you that the greatest shortcoming of the human race is our inability to understand the exponential function.
Choosing, as opposed to some other number,as the base of the exponential function makes calculations involving the derivative much simpler.
A general exponential function has derivative given as the limit:: the limit on the right-hand side is independent of the variable: it depends only on the base.
A graph is generated andyou are supposed to find a possible formula for the exponential function corresponding to the given graph.
For example, if ƒ is the exponential function, ƒ(z)= ez, then the only algebraic number α where ƒ(α) is also algebraic is α= 0, where ƒ(α)= 1.
The present-day notion of logarithms comes from Leonhard Euler,who connected them to the exponential function in the 18th century.
A general exponential function has derivative given as the limit: :formula_12The limit on the far right is independent of the variable: it depends only on the base.
The frequent appearance of π in complex analysis can be related to the behavior of the exponential function of a complex variable, described by Euler's formula.
The exponential function ex is important in part because it is the unique nontrivial function(up to multiplication by a constant) which is its own derivative.
The original proof is based on the Taylor series expansions of the exponential function ez( where z is a complex number) and of sin x and cos x for real numbers x( see below).
Eulers formula, named after Leonhard Euler,is a mathematical formula in complex analysis that establishes the deep relationship between the trigonometric functions and the complex exponential function.
Most elementary functions, including the exponential function, the trigonometric functions, and all polynomial functions, are holomorphic.