# Compute, where φ is Euler's totient function.

# REDIRECT Euler's totient function

# REDIRECT Euler's totient function

# REDIRECT Euler's totient function

# REDIRECT Euler's totient function

# REDIRECT Euler's totient function

# REDIRECT Euler's totient function

# REDIRECT Euler's totient function

# The electrons are never in a single point location, although the probability of interacting with the electron at a single point can be found from the wave function of the electron.

# REDIRECT Cumulative distribution function

# REDIRECT Hash function

# A system is completely described by a wave function, representing the state of the system, which grows gradually with time but, upon measurement, collapses suddenly to its original size.

# The description of nature is essentially probabilistic, with the probability of an event related to the square of the amplitude of the wave function.

# REDIRECT continuous function

# REDIRECT Differentiable function

# 1998 London: Chris Knight, James R. Hurford and Michael Studdert-Kennedy ( eds ), The Evolutionary Emergence of Language: Social function and the origins of linguistic form, Cambridge University Press,

# Cash excess or deficiency-a function of the cash needs and cash available.

# Baroque ornamentation, with an expressive, rather than merely aesthetic function.

# Semantic function: ( Agent, Patient, Recipient, etc.

# lossy data compression: allocates bits needed to reconstruct the data, within a specified fidelity level measured by a distortion function.

# Define a matching function that returns

# Suppose there exists a function called Insert designed to insert a value into a sorted sequence at the beginning of an array.

* In the C # programming language a lambda expression is an anonymous function that can contain expressions and statements.

# Determine the input feature representation of the learned function.

# Determine the structure of the learned function and corresponding learning algorithm.

# Evaluate the accuracy of the learned function.

# where is the identity function

# where is the unit function

# The activation function that converts a neuron's weighted input to its output activation.

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The number of integers coprime to a positive integer n, between 1 and n, is given by Euler's totient function ( or Euler's phi function ) φ ( n ).

which can easily be proven by considering the Euclidean algorithm in base n. Another useful identity relates to the Euler's totient function:

* ( n ): Euler's totient function, counting the positive integers coprime to ( but not bigger than ) n

For example, if one starts with Euler's totient function, and repeatedly applies the transformation process, one obtains:

In number theory, Euler's totient or phi function, φ ( n ) is an arithmetic function that counts the number of positive integers less than or equal to n that are relatively prime to n. That is, if n is a positive integer, then φ ( n ) is the number of integers k in the range 1 ≤ k ≤ n for which gcd ( n, k ) = 1.

The totient function is a multiplicative function, meaning that if two numbers m and n are relatively prime ( to each other ), then φ ( mn ) = φ ( m ) φ ( n ).

The totient function is important mainly because it gives the order of the multiplicative group of integers modulo n ( the group of units of the ring ).

See Euler's theorem. The totient function also plays a key role in the definition of the RSA encryption system.

In 1883 J. J. Sylvester coined the term totient for this function, so it is also referred to as the totient function, the Euler totient, or Euler's totient.

where φ ( n ) denotes Euler's totient function counting the integers between 1 and n that are coprime to n. This is indeed a generalization, because if n

where φ ( n ) is Euler's totient function.

where φ ( d ) is Euler's totient function and O is the Big O notation.