Hilbert
The Hilbert class provides operators to add, subtract, mutiply, divide and raise functions. Given two functions, 'f' and 'g', a new function is created. It also provides methods for computing dot/inner products, norms and distances for functions defined in Hilbert Space. On interval [a, b] Lp-norm (f) = [ ∫f(t)^p dt ]^1/p
Value parameters
- f
-
the function to convert into a Hilbert function
Attributes
- Graph
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- Supertypes
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trait Serializabletrait Producttrait Equalsclass Objecttrait Matchableclass AnyShow all
Members list
Value members
Concrete methods
Multiply function 'f' by function 'g', returning a new function.
Multiply function 'f' by function 'g', returning a new function.
Value parameters
- g
-
the other function
Attributes
Add function 'f' and function 'g', returning a new function.
Add function 'f' and function 'g', returning a new function.
Value parameters
- g
-
the other function
Attributes
From function 'f' subtract function 'g', returning a new function.
From function 'f' subtract function 'g', returning a new function.
Value parameters
- g
-
the other function
Attributes
Divide function 'f' by function 'g', returning a new function.
Divide function 'f' by function 'g', returning a new function.
Value parameters
- g
-
the other function
Attributes
Compute the distance in L2 space between function 'f' and function 'g'.
Compute the distance in L2 space between function 'f' and function 'g'.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
- g
-
the other function
Attributes
Compute the distance in Lp space between function 'f' and function 'g'.
Compute the distance in Lp space between function 'f' and function 'g'.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
- g
-
the other function
- p
-
the level, e.g., 1, 2, ...
Attributes
Compute the dot/inner product of functions 'f' and 'g'.
Compute the dot/inner product of functions 'f' and 'g'.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
- g
-
the other function
Attributes
Compute the L2 norm of function 'f'.
Compute the L2 norm of function 'f'.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
Attributes
Compute the L2 norm squared of function 'f', returning a new function.
Compute the L2 norm squared of function 'f', returning a new function.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
Attributes
Compute the Lp norm squared of function 'f'.
Compute the Lp norm squared of function 'f'.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
- p
-
the level, e.g., 1, 2, ...
Attributes
Compute the Lp norm of function 'f'.
Compute the Lp norm of function 'f'.
Value parameters
- a
-
the start of the interval
- b
-
the end of the interval
- p
-
the level, e.g., 1, 2, ...
Attributes
Negate the function 'f' (unary minus), returning a new function.
Negate the function 'f' (unary minus), returning a new function.
Attributes
Raise function 'f' to the 'p'th power, returning a new function.
Raise function 'f' to the 'p'th power, returning a new function.
Value parameters
- p
-
the integer-valued power/exponent
Attributes
Raise function 'f' to the 'p'th power, returning a new function.
Raise function 'f' to the 'p'th power, returning a new function.
Value parameters
- p
-
the power/exponent
Attributes
Inherited methods
Attributes
- Inherited from:
- Product
Attributes
- Inherited from:
- Product