On the rank of a tropical matrix
By M. Develin, F. Santos, Bernd Sturmfels. 2003
183 citations recorded by the source corpus.
An apparatus (10) for use in securing a specimen (S) in a folding specimen holder (58) having an arm blade (12). A spring clip (26) releasably secures the grid (58) to the arm blade (12) so that one or more specimens may be loaded into the holder (58). A slider (22) mounted on the arm blade (12) operates to fold the holder (58) upon itself in order to secure the specimens (S) in the holder (58). The spring clip (26) is thereafter operated to release the holder (58) after the holder (58) has been transferred from a first workstation (48) to a second workstation (62).
View Paper: https://www.semanticscholar.org/paper/24de3673e5619d71a05e1384e8a6e266abeaccc4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Stephane Gaubert
- Marianne Akian
- Michael Joswig
- David E. Speyer
- Bernd Sturmfels
- Ravindra B. Bapat
- Eric Katz
- Peter Butkovic
Citations in the corpus
- Linear independence over tropical semirings and beyond (2008, methodology): “Richter-Gebert, Sturmfels and Theobald [RGST05] established an analogue of Cramer theorem which applies to systems of “tropical” equations (in which the maximum in every row is required to be attained at least twice, rather than being equal to the zero element of the semiring).”
- Tropical Halfspaces (2003, background): “Finally, I would like to thank the anonymous referee who helped alleviate my ignorance of previously published results on max-plus-algebras.”
- Max-Plus Algebra (2006, background): “(A new rank notion, Kapranov rank, which is not discussed here, has been recently studied [DSS05].”
- Tropical Mathematics (2004, background): “The definition of linear space given here is more inclusive than the one used elsewhere [6, 17, 20], where L X was required to come from ordinary algebraic geometry over a field with a suitable valuation.”