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MittagLefflerKernel

Struct MittagLefflerKernel 

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pub struct MittagLefflerKernel<S: Scalar> {
    pub lambda: S,
    pub alpha: S,
    pub beta: S,
}
Expand description

Mittag-Leffler kernel (for fractional derivatives).

K(τ) = τ^(β-1) * E_{α,β}(-λ * τ^α)

Reduces to exponential when α = β = 1.

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§lambda: S

Rate parameter λ

§alpha: S

First ML parameter α

§beta: S

Second ML parameter β

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impl<S: Scalar> MittagLefflerKernel<S>

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pub fn new(lambda: S, alpha: S, beta: S) -> Self

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pub fn relaxation(lambda: S, alpha: S) -> Self

Standard relaxation kernel with α = β.

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impl<S: Clone + Scalar> Clone for MittagLefflerKernel<S>

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fn clone(&self) -> MittagLefflerKernel<S>

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<S: Debug + Scalar> Debug for MittagLefflerKernel<S>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<S: Scalar> Kernel<S> for MittagLefflerKernel<S>

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fn evaluate(&self, tau: S) -> S

Evaluate the kernel at time lag τ.
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fn as_prony(&self) -> Option<(Vec<S>, Vec<S>)>

Check if the kernel is a sum of exponentials (Prony series). Read more

Auto Trait Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.