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ProjectiveVariety

Struct ProjectiveVariety 

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pub struct ProjectiveVariety {
    pub dim: usize,
    pub degree: u64,
    pub name: String,
}
Expand description

A projective variety represented by dimension and degree.

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§dim: usize

Dimension of the variety.

§degree: u64

Degree in projective space (self-intersection of hyperplane class).

§name: String

Name / description.

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impl ProjectiveVariety

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pub fn new(dim: usize, degree: u64, name: impl Into<String>) -> Self

Create a new projective variety.

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pub fn projective_space(n: usize) -> Self

Projective space P^n, which has degree 1.

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pub fn quadric(n: usize) -> Self

A quadric hypersurface Q ⊂ P^{n+1} of dimension n and degree 2.

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pub fn del_pezzo(d: usize) -> Self

Del Pezzo surface of degree d (1 ≤ d ≤ 9). S_d = P^2 blown up at (9-d) points in general position.

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impl Clone for ProjectiveVariety

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fn clone(&self) -> ProjectiveVariety

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 ProjectiveVariety

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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 PartialEq for ProjectiveVariety

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fn eq(&self, other: &ProjectiveVariety) -> 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 Eq for ProjectiveVariety

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impl StructuralPartialEq for ProjectiveVariety

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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> Setoid for T
where T: PartialEq,

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fn equiv(&self, other: &T) -> bool

The equivalence relation.
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fn refl(&self) -> bool

Reflexivity of the equivalence.
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fn symm(&self, other: &Self) -> bool

Symmetry: if self ~ other then other ~ self.
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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.