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WeakConvergenceData

Struct WeakConvergenceData 

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pub struct WeakConvergenceData {
    pub sequence: Vec<Vec<f64>>,
    pub weak_limit: Option<Vec<f64>>,
    pub is_bounded: bool,
}
Expand description

Data representing weak convergence in a Banach space.

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§sequence: Vec<Vec<f64>>

Sequence of vectors (represented as finite-dimensional approximations).

§weak_limit: Option<Vec<f64>>

Weak limit, if it exists.

§is_bounded: bool

Whether the sequence is bounded (Banach-Alaoglu prerequisite).

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impl WeakConvergenceData

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pub fn new(sequence: Vec<Vec<f64>>) -> Self

Creates weak convergence data.

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pub fn check_weak_convergence(&self, limit: &[f64], tol: f64) -> bool

Checks weak convergence to a given vector (tests against standard basis functionals).

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pub fn banach_alaoglu_applies(&self) -> bool

Banach-Alaoglu: bounded sequences in reflexive spaces have weakly convergent subsequences.

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pub fn last_norm(&self) -> Option<f64>

Returns the strong norm of the last element.

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impl Clone for WeakConvergenceData

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fn clone(&self) -> WeakConvergenceData

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for WeakConvergenceData

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

Formats the value using the given formatter. 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.