kComodule

Struct kComodule 

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pub struct kComodule<G: Grading, F: Field, M: Matrix<F>> {
    pub coalgebra: Arc<kCoalgebra<G, F, M>>,
    pub space: GradedVectorSpace<G, kBasisElement>,
    pub coaction: GradedLinearMap<G, F, M>,
    pub tensor: kTensor<G>,
}

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§coalgebra: Arc<kCoalgebra<G, F, M>>§space: GradedVectorSpace<G, kBasisElement>§coaction: GradedLinearMap<G, F, M>§tensor: kTensor<G>

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impl<G: Grading, F: Field, M: Matrix<F>> kComodule<G, F, M>

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pub fn verify(&self) -> bool

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pub fn new( coalgebra: Arc<kCoalgebra<G, F, M>>, space: GradedVectorSpace<G, kBasisElement>, coaction: GradedLinearMap<G, F, M>, tensor: kTensor<G>, ) -> Self

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pub fn find_cogens(&self, limit: G) -> usize

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impl<G: Grading, F: Field, M: Matrix<F>> kComodule<G, F, M>

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pub fn parse( input: &str, coalgebra: Arc<kCoalgebra<G, F, M>>, coalgebra_translate: &HashMap<String, BasisIndex<G>, RandomState>, max_grading: G, ) -> Result<kComodule<G, F, M>, String>

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impl<G: Clone + Grading, F: Clone + Field, M: Clone + Matrix<F>> Clone for kComodule<G, F, M>

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fn clone(&self) -> kComodule<G, F, M>

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<G: Grading, F: Field, M: Matrix<F>> Comodule<G> for kComodule<G, F, M>

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type Element = kBasisElement

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type Coalgebra = kCoalgebra<G, F, M>

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type Morphism = kComoduleMorphism<G, F, M>

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fn get_generators(&self) -> Vec<(usize, G, Option<String>)>

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fn zero_comodule(coalgebra: Arc<Self::Coalgebra>) -> Self

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fn fp_comodule(coalgebra: Arc<Self::Coalgebra>) -> Self

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fn direct_sum(&mut self, other: &mut Self)

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fn cofree_comodule( coalgebra: Arc<Self::Coalgebra>, index: usize, grade: G, limit: G, ) -> Self

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impl<G: Grading, F: Field, M: Matrix<F>> ComoduleMorphism<G, kComodule<G, F, M>> for kComoduleMorphism<G, F, M>

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fn cokernel(&self) -> Self

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fn inject_codomain_to_cofree(&self, limit: G) -> Self

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fn zero_morphism(comodule: Arc<kComodule<G, F, M>>) -> Self

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fn compose(l: Self, r: Self) -> Self

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fn get_structure_lines(&self) -> Vec<(usize, usize, usize, String)>

(s, gen_index) uniquely defines a generator of Ext in a specific morphism we only need to know its gen_index in the resolution we add the s (from_dot, to_dot, value, line_type)
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fn get_codomain(&self) -> Arc<kComodule<G, F, M>>

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impl<G: Grading, F: Field, M: Matrix<F>> Debug for kComodule<G, F, M>

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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<G: PartialEq + Grading, F: PartialEq + Field, M: PartialEq + Matrix<F>> PartialEq for kComodule<G, F, M>

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fn eq(&self, other: &kComodule<G, F, M>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<G: Grading, F: Field, M: Matrix<F>> StructuralPartialEq for kComodule<G, F, M>

Auto Trait Implementations§

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impl<G, F, M> Freeze for kComodule<G, F, M>

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impl<G, F, M> RefUnwindSafe for kComodule<G, F, M>

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impl<G, F, M> Send for kComodule<G, F, M>

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impl<G, F, M> Sync for kComodule<G, F, M>

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impl<G, F, M> Unpin for kComodule<G, F, M>
where F: Unpin, G: Unpin, M: Unpin,

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impl<G, F, M> UnwindSafe for kComodule<G, F, M>

Blanket 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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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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.