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CoboundaryOperator

Struct CoboundaryOperator 

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pub struct CoboundaryOperator {
    pub chain: ChainComplex,
}
Expand description

Coboundary operator δ^k : C^k → C^{k+1} (transpose of boundary ∂_{k+1}).

Cohomology groups H^k = ker δ^k / im δ^{k-1}.

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§chain: ChainComplex

Reference to the underlying chain complex.

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impl CoboundaryOperator

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pub fn new(chain: ChainComplex) -> Self

Create coboundary from a chain complex.

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pub fn coboundary_matrix(&self, k: usize) -> Vec<Vec<i32>>

Coboundary matrix δ^k : C^k → C^{k+1}.

This is the transpose of the boundary matrix ∂{k+1} : C{k+1} → C_k.

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pub fn coboundary_rank(&self, k: usize) -> usize

Rank of the coboundary operator δ^k.

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pub fn cup_product_is_compatible( _p: usize, _q: usize, _a_idx: usize, _b_idx: usize, ) -> bool

Cup product coefficient (simplified): returns 1 if cocycle a on dimension p and cocycle b on dimension q are compatible, else 0. This is a placeholder for the full cup product structure.

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impl Clone for CoboundaryOperator

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fn clone(&self) -> CoboundaryOperator

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 CoboundaryOperator

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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<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> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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.