Struct TensorIndex 

pub struct TensorIndex {
    pub name: String,
    pub index_type: IndexType,
}

A single tensor index with name and position.

Represents an index in tensor notation, specifying both the index name (typically a single letter like i, j, k) and whether it appears as an upper (contravariant) or lower (covariant) index.

Einstein Summation Convention

When the same index name appears once as upper and once as lower in a term, summation over that index is implied. For example, T^i_j v^j implies Σ_j T^i_j v^j.

Examples

use mathlex::ast::{TensorIndex, IndexType};

// Upper index i (T^i)
let upper_i = TensorIndex {
    name: "i".to_string(),
    index_type: IndexType::Upper,
};

// Lower index j (T_j)
let lower_j = TensorIndex {
    name: "j".to_string(),
    index_type: IndexType::Lower,
};

Fields

name: String

The index name (e.g., “i”, “j”, “k”, “μ”, “ν”)

index_type: IndexType

Whether this is an upper or lower index

Trait Implementations

impl Clone for TensorIndex

fn clone(&self) -> TensorIndex

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for TensorIndex

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

Formats the value using the given formatter.

impl Hash for TensorIndex

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl PartialEq for TensorIndex

fn eq(&self, other: &TensorIndex) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Eq for TensorIndex

impl StructuralPartialEq for TensorIndex