[−][src]Struct mathru::algebra::abstr::Addition

pub struct Addition;

The addition operator, commonly symbolized by $+$.

Trait Implementations

`impl AbelianGroup<Addition> for i8`[src]

`impl AbelianGroup<Addition> for i16`[src]

`impl AbelianGroup<Addition> for i32`[src]

`impl AbelianGroup<Addition> for i64`[src]

`impl AbelianGroup<Addition> for i128`[src]

`impl AbelianGroup<Addition> for f32`[src]

`impl AbelianGroup<Addition> for f64`[src]

`impl Clone for Addition`[src]

`pub fn clone(&self) -> Addition`[src]

`pub fn clone_from(&mut self, source: &Self)`1.0.0[src]

`impl Copy for Addition`[src]

`impl Group<Addition> for i8`[src]

`impl Group<Addition> for i16`[src]

`impl Group<Addition> for i32`[src]

`impl Group<Addition> for i64`[src]

`impl Group<Addition> for i128`[src]

`impl Group<Addition> for f32`[src]

`impl Group<Addition> for f64`[src]

`impl<T> Group<Addition> for Polynomial<T> where T: Group<Addition> + Loop<Addition> + Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>,` [src]

`impl<T> Identity<Addition> for Matrix<T> where T: Identity<Addition>,` [src]

`pub fn id() -> Self`[src]

Returns the additive neutral element)

Example

use mathru::algebra::linear::Matrix;

`impl Identity<Addition> for u8`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i128`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for f32`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for f64`[src]

`pub fn id() -> Self`[src]

`impl<T> Identity<Addition> for Polynomial<T> where T: Identity<Addition>,` [src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u16`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u32`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u64`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u128`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i8`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i16`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i32`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i64`[src]

`pub fn id() -> Self`[src]

`impl Loop<Addition> for i8`[src]

`impl Loop<Addition> for i16`[src]

`impl Loop<Addition> for i32`[src]

`impl Loop<Addition> for i64`[src]

`impl Loop<Addition> for i128`[src]

`impl Loop<Addition> for f32`[src]

`impl Loop<Addition> for f64`[src]

`impl<T> Loop<Addition> for Polynomial<T> where T: Loop<Addition> + Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>,` [src]

`impl Magma<Addition> for u8`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u16`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for f32`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for f64`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl<T> Magma<Addition> for Polynomial<T> where T: MagmaAdd + Magma<Addition> + Scalar + AbsDiffEq<Epsilon = T>,` [src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u32`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u64`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u128`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i8`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i16`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i32`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i64`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i128`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Monoid<Addition> for u8`[src]

`impl Monoid<Addition> for u16`[src]

`impl Monoid<Addition> for f32`[src]

`impl Monoid<Addition> for f64`[src]

`impl<T> Monoid<Addition> for Polynomial<T> where T: MagmaAdd + Scalar + Identity<Addition> + AbsDiffEq<Epsilon = T>,` [src]

`impl Monoid<Addition> for u32`[src]

`impl Monoid<Addition> for u64`[src]

`impl Monoid<Addition> for u128`[src]

`impl Monoid<Addition> for i8`[src]

`impl Monoid<Addition> for i16`[src]

`impl Monoid<Addition> for i32`[src]

`impl Monoid<Addition> for i64`[src]

`impl Monoid<Addition> for i128`[src]

`impl Operator for Addition`[src]

`pub fn operator() -> Self`[src]

`impl Quasigroup<Addition> for i8`[src]

`impl Quasigroup<Addition> for i16`[src]

`impl Quasigroup<Addition> for i32`[src]

`impl Quasigroup<Addition> for i64`[src]

`impl Quasigroup<Addition> for i128`[src]

`impl Quasigroup<Addition> for f32`[src]

`impl Quasigroup<Addition> for f64`[src]

`impl<T> Quasigroup<Addition> for Polynomial<T> where T: Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>,` [src]

`impl Semigroup<Addition> for u8`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for u16`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for f32`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for f64`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl<T> Semigroup<Addition> for Polynomial<T> where T: MagmaAdd + Scalar + AbsDiffEq<Epsilon = T>,` [src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for u32`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for u64`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for u128`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for i8`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for i16`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for i32`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for i64`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

`impl Semigroup<Addition> for i128`[src]

`pub fn is_associative(self, y: Self, z: Self) -> bool`[src]

Auto Trait Implementations

`impl RefUnwindSafe for Addition`

`impl Send for Addition`

`impl Sync for Addition`

`impl Unpin for Addition`

`impl UnwindSafe for Addition`

Blanket Implementations

`impl<T> Any for T where T: 'static + ?Sized,` [src]

`pub fn type_id(&self) -> TypeId`[src]

`impl<T> Borrow<T> for T where T: ?Sized,` [src]

`pub fn borrow(&self) -> &T`[src]

`impl<T> BorrowMut<T> for T where T: ?Sized,` [src]

`pub fn borrow_mut(&mut self) -> &mut T`[src]

`impl<T> From<T> for T`[src]

`pub fn from(t: T) -> T`[src]

`impl<T, U> Into for T where U: From<T>,` [src]

`pub fn into(self) -> U`[src]

`impl<T> ToOwned for T where T: Clone,` [src]

`type Owned = T`

The resulting type after obtaining ownership.

`pub fn to_owned(&self) -> T`[src]

`pub fn clone_into(&self, target: &mut T)`[src]

`impl<T, U> TryFrom for T where U: Into<T>,` [src]

`type Error = Infallible`

The type returned in the event of a conversion error.

`pub fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>`[src]

`impl<T, U> TryInto for T where U: TryFrom<T>,` [src]

`type Error = >::Error`

The type returned in the event of a conversion error.

`pub fn try_into(self) -> Result<U, >::Error>`[src]

`impl<V, T> VZip<V> for T where V: MultiLane<T>,`

`pub fn vzip(self) -> V`

[−][src]Struct mathru::algebra::abstr::Addition

Trait Implementations

impl AbelianGroup<Addition> for i8[src]

impl AbelianGroup<Addition> for i16[src]

impl AbelianGroup<Addition> for i32[src]

impl AbelianGroup<Addition> for i64[src]

impl AbelianGroup<Addition> for i128[src]

impl AbelianGroup<Addition> for f32[src]

impl AbelianGroup<Addition> for f64[src]

impl Clone for Addition[src]

pub fn clone(&self) -> Addition[src]

pub fn clone_from(&mut self, source: &Self)1.0.0[src]

impl Copy for Addition[src]

impl Group<Addition> for i8[src]

impl Group<Addition> for i16[src]

impl Group<Addition> for i32[src]

impl Group<Addition> for i64[src]

impl Group<Addition> for i128[src]

impl Group<Addition> for f32[src]

impl Group<Addition> for f64[src]

impl<T> Group<Addition> for Polynomial<T> where T: Group<Addition> + Loop<Addition> + Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>, [src]

impl<T> Identity<Addition> for Matrix<T> where T: Identity<Addition>, [src]

pub fn id() -> Self[src]

Example

impl Identity<Addition> for u8[src]

pub fn id() -> Self[src]

impl Identity<Addition> for i128[src]

pub fn id() -> Self[src]

impl Identity<Addition> for f32[src]

pub fn id() -> Self[src]

impl Identity<Addition> for f64[src]

pub fn id() -> Self[src]

impl<T> Identity<Addition> for Polynomial<T> where T: Identity<Addition>, [src]

pub fn id() -> Self[src]

impl Identity<Addition> for u16[src]

pub fn id() -> Self[src]

impl Identity<Addition> for u32[src]

pub fn id() -> Self[src]

impl Identity<Addition> for u64[src]

pub fn id() -> Self[src]

impl Identity<Addition> for u128[src]

pub fn id() -> Self[src]

impl Identity<Addition> for i8[src]

pub fn id() -> Self[src]

impl Identity<Addition> for i16[src]

pub fn id() -> Self[src]

impl Identity<Addition> for i32[src]

pub fn id() -> Self[src]

impl Identity<Addition> for i64[src]

pub fn id() -> Self[src]

impl Loop<Addition> for i8[src]

impl Loop<Addition> for i16[src]

impl Loop<Addition> for i32[src]

impl Loop<Addition> for i64[src]

impl Loop<Addition> for i128[src]

impl Loop<Addition> for f32[src]

impl Loop<Addition> for f64[src]

impl<T> Loop<Addition> for Polynomial<T> where T: Loop<Addition> + Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>, [src]

impl Magma<Addition> for u8[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for u16[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for f32[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for f64[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl<T> Magma<Addition> for Polynomial<T> where T: MagmaAdd + Magma<Addition> + Scalar + AbsDiffEq<Epsilon = T>, [src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for u32[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for u64[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for u128[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for i8[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for i16[src]

pub fn operate(self, rhs: Self) -> Self[src]

impl Magma<Addition> for i32[src]

pub fn operate(self, rhs: Self) -> Self[src]

`impl AbelianGroup<Addition> for i8`[src]

`impl AbelianGroup<Addition> for i16`[src]

`impl AbelianGroup<Addition> for i32`[src]

`impl AbelianGroup<Addition> for i64`[src]

`impl AbelianGroup<Addition> for i128`[src]

`impl AbelianGroup<Addition> for f32`[src]

`impl AbelianGroup<Addition> for f64`[src]

`impl Clone for Addition`[src]

`pub fn clone(&self) -> Addition`[src]

`pub fn clone_from(&mut self, source: &Self)`1.0.0[src]

`impl Copy for Addition`[src]

`impl Group<Addition> for i8`[src]

`impl Group<Addition> for i16`[src]

`impl Group<Addition> for i32`[src]

`impl Group<Addition> for i64`[src]

`impl Group<Addition> for i128`[src]

`impl Group<Addition> for f32`[src]

`impl Group<Addition> for f64`[src]

`impl<T> Group<Addition> for Polynomial<T> where T: Group<Addition> + Loop<Addition> + Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>,` [src]

`impl<T> Identity<Addition> for Matrix<T> where T: Identity<Addition>,` [src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u8`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i128`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for f32`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for f64`[src]

`pub fn id() -> Self`[src]

`impl<T> Identity<Addition> for Polynomial<T> where T: Identity<Addition>,` [src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u16`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u32`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u64`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for u128`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i8`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i16`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i32`[src]

`pub fn id() -> Self`[src]

`impl Identity<Addition> for i64`[src]

`pub fn id() -> Self`[src]

`impl Loop<Addition> for i8`[src]

`impl Loop<Addition> for i16`[src]

`impl Loop<Addition> for i32`[src]

`impl Loop<Addition> for i64`[src]

`impl Loop<Addition> for i128`[src]

`impl Loop<Addition> for f32`[src]

`impl Loop<Addition> for f64`[src]

`impl<T> Loop<Addition> for Polynomial<T> where T: Loop<Addition> + Quasigroup<Addition> + Scalar + MagmaAdd + AbsDiffEq<Epsilon = T>,` [src]

`impl Magma<Addition> for u8`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u16`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for f32`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for f64`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl<T> Magma<Addition> for Polynomial<T> where T: MagmaAdd + Magma<Addition> + Scalar + AbsDiffEq<Epsilon = T>,` [src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u32`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u64`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for u128`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i8`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i16`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i32`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i64`[src]

`pub fn operate(self, rhs: Self) -> Self`[src]

`impl Magma<Addition> for i128`[src]