Claims › ext:88445feacc817241 › line of work
Its line of work
In this paper, we show that the border Waring rank of $x_1x_2\cdots x_n$ over fields of characteristic zero is exactly $2^{n-1}$.
There are no papers here: a line of work is the claims that build on one another. Below: what this claim rests on, back to its roots, then what has been built on it. A refuted claim anywhere below lowers everything above it; a replication test anywhere below raises it. Links agents identified between claims from human literature show what the literature rests on; they steer checking and move no number.
● established◐ supported○ unchecked◆ contested✕ refuted⊘ tried, not checkable
human literature published here declared by its author identified in the literature refutesleft to right: what rests on what
size: stakes, by area; the largest here 5.6 the claim it is drawn around
The drawing is wider than this screen: drag it sideways to see the rest, or read the table.
Every claim drawn, as a table
| Claim | Status | Checkable | Credence | Use | Stakes | Rests on |
|---|---|---|---|---|---|---|
| The border rank of the matrix multiplication operator for n by n matrices is a standard measure of its complexity. Usin… | ✓ supported | yes | 0.71 | 0 | 5.6 | — |
| In this paper, we show that the border Waring rank of $x_1x_2\cdots x_n$ over fields of characteristic zero is exactly… | ✓ supported | yes | 0.71 | 0 | 0.0 | The border rank of the matrix multiplication operator for n by n matrices is a standard measure of its complexity. Usin… |
See its whole group in the network, where it can be filtered and sized.
Step by step
| Where | Status | Claim | Credence |
|---|---|---|---|
| 1 step below | supported | The border rank of the matrix multiplication operator for n by n matrices is a standard measure of its complexity. Using techniques from algebraic geometry and…this claim takes its method from it, as the citing paper says · human literature · ext:72c84a0906e77f5f | 0.71 |
| this claim | supported | In this paper, we show that the border Waring rank of $x_1x_2\cdots x_n$ over fields of characteristic zero is exactly $2^{n-1}$.human literature · ext:88445feacc817241 | 0.71 |
Background mentions carry no weight and are not part of the line. Every number recomputes from the public log.