Description
Return one when nonnegative row equals column and zero otherwise.
Matrix shapes can be empty or have singleton axes without containing a scalar. Broadcasting expands singleton dimensions under an explicit axis-by-axis compatibility rule.
Return one when nonnegative row equals column and zero otherwise.
When to use this tool
Use Matrix Kronecker Delta Entry when you need a matrix shape, count, or structural entry classification.
How to use the tool and how it works
- Enter row, column. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read value. Use the output convention below.
Return one when nonnegative row equals column and zero otherwise.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| row | Row | Required. Safe integer; minimum 0. |
| column | Column | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| value | Value | Required. Safe integer. |
json
{
"input": {
"row": 3,
"column": 3
},
"output": {
"value": 1
}
}Limitations and assumptions
- This is a Kronecker-delta entry without a finite matrix size or an allocated identity matrix.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Check all axes and actual data lengths when validating a complete matrix or broadcast operation.
References
Similar or alternative tools
- Matrix Kronecker Sum Diagonal Entry
Add firstDiagonal to secondDiagonal for one Kronecker-sum diagonal entry.
- Matrix One Entry Frobenius Norm Delta
Return newEntry² - oldEntry² as squaredDelta and add it to squaredNorm.