Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

Fabius function

Index Fabius function

In mathematics, the Fabius function is an example of an infinitely differentiable function that is nowhere analytic, found by. [1]

12 relations: Analytic function, Binary number, Cumulative distribution function, Digit sum, Dyadic rational, Functional differential equation, Independence (probability theory), Random variable, Smoothness, Thue–Morse sequence, Uniform distribution (continuous), Unit interval.

Analytic function

In mathematics, an analytic function is a function that is locally given by a convergent power series.

New!!: Fabius function and Analytic function · See more »

Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

New!!: Fabius function and Binary number · See more »

Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.

New!!: Fabius function and Cumulative distribution function · See more »

Digit sum

In mathematics, the digit sum of a given integer is the sum of all its digits (e.g. the digit sum of 84001 is calculated as 8+4+0+0+1.

New!!: Fabius function and Digit sum · See more »

Dyadic rational

In mathematics, a dyadic fraction or dyadic rational is a rational number whose denominator, when the ratio is in minimal (coprime) terms, is a power of two, i.e., a number of the form \frac where a is an integer and b is a natural number; for example, 1/2 or 3/8, but not 1/3.

New!!: Fabius function and Dyadic rational · See more »

Functional differential equation

A functional differential equation (FDE) is a differential equation with deviating argument.

New!!: Fabius function and Functional differential equation · See more »

Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.

New!!: Fabius function and Independence (probability theory) · See more »

Random variable

In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.

New!!: Fabius function and Random variable · See more »

Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

New!!: Fabius function and Smoothness · See more »

Thue–Morse sequence

In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is the binary sequence (an infinite sequence of 0s and 1s) obtained by starting with 0 and successively appending the Boolean complement of the sequence obtained thus far.

New!!: Fabius function and Thue–Morse sequence · See more »

Uniform distribution (continuous)

In probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions such that for each member of the family, all intervals of the same length on the distribution's support are equally probable.

New!!: Fabius function and Uniform distribution (continuous) · See more »

Unit interval

In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.

New!!: Fabius function and Unit interval · See more »

References

[1] https://en.wikipedia.org/wiki/Fabius_function

OutgoingIncoming
Hey! We are on Facebook now! »