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...ort description|Identity in algebra useful for evaluating certain types of determinants}} ...lvester | first = James Joseph | title = On the relation between the minor determinants of linearly equivalent quadratic functions | journal = Philosophical Magazi ...

...''', named after [[Giovanni Giambelli]], expresses [[Schubert class]]es as determinants in terms of special Schubert classes. ...i-Trudi identity]] which expresses [[Schur polynomial|Schur functions]] as determinants in terms of [[elementary symmetric function]]s. The corresponding identity ...

In mathematics, '''Hurwitz determinants''' were introduced by {{harvs|txt|authorlink=Adolf Hurwitz|first=Adolf|la ...terminant) of the above Hurwitz matrix ''H''. There are ''n'' Hurwitz determinants for a characteristic polynomial of degree ''n''. ...

==Determinants== ...pages=57–65 |doi=10.1007/BF03024312|s2cid=13958298 }}</ref> Complex valued determinants can be defined however.<ref>{{cite journal |author=E. Study |title=Zur Theo ...

...|first2=Seymour|last2=Goldberg|first3=Nahum|last3=Krupnik|title=Traces and Determinants of Linear Operators|series=Operator Theory Advances and Applications |publi ...|first2=Seymour|last2=Goldberg|first3=Nahum|last3=Krupnik|title=Traces and Determinants of Linear Operators|series=Operator Theory Advances and Applications |publi ...

...rreg_sect021.htm SAS documentation on "Robust Distance"]</ref> Thus pseudo-determinants are sometime presented in the outputs of statistical programs in cases wher ...

...39–154|url=http://www.maa.org/programs/maa-awards/writing-awards/down-with-determinants|doi=10.2307/2975348|jstor=2975348}}</ref> Axler later wrote a textbook, ''L ...

...alski K, Rychlewski L, García JL, Díaz E | title = Deciphering the genetic determinants for aerobic nicotinic acid degradation: the nic cluster from Pseudomonas pu ...

...alski K, Rychlewski L, García JL, Díaz E | title = Deciphering the genetic determinants for aerobic nicotinic acid degradation: the nic cluster from Pseudomonas pu ...

{{about|determinants of matrices|statistical block design theory|Fisher's inequality}} ...ve-semidefinite matrix]] whose entries are complex numbers in terms of the determinants of its principal diagonal blocks. ...

...ww.maa.org/press/maa-reviews/discriminants-resultants-and-multidimensional-determinants|archive-url=|archive-date=|access-date=1 Jul 2020|website=Mathematical Asso ...er=Preface|page=ix|title = Discriminants, Resultants, and Multidimensional Determinants|isbn = 9780817647704|last1 = Gelfand|first1 = Israel M.|last2 = Kapranov|fi ...

...not always defined, and even when they are defined, they do not reduce to determinants when the entries commute. Rather, | title=Hypercomplex determinants ...

...thods, like [[Møller–Plesset perturbation theory|MP''n'']], etc.), all the determinants contain the same one-electron functions, or orbitals, and differ just by oc All other determinants are then made by formally "exciting" the reference determinant (one or more ...

**For determinants, it implies that ...authorlink=Thomas Muir (mathematician) | title=A treatise on the theory of determinants | url=https://archive.org/details/treatiseontheory0000muir | url-access=reg ...

...inger-Verlag|location=Berlin|year=1990|isbn=3-540-52147-X|chapter=Toeplitz determinants|page=525}}</ref><ref>{{eom|id=Szegö_limit_theorems|first=T.|last=Ehrhardt|f ...

...alski K, Rychlewski L, García JL, Díaz E | title = Deciphering the genetic determinants for aerobic nicotinic acid degradation: the nic cluster from Pseudomonas pu ...

...alski K, Rychlewski L, García JL, Díaz E | title = Deciphering the genetic determinants for aerobic nicotinic acid degradation: the nic cluster from Pseudomonas pu ...

* 1947: "Some identities in the theory of determinants", [[American Mathematical Monthly]] 54:75–90, {{mr|id=00190078}} * 1951: "Bounds for determinants with dominant principal diagonal", [[Proceedings of the American Mathematic ...

==Determinants== ...erse matrix|inverse of a matrix]] exists when the determinant is nonzero). Determinants are used for finding eigenvalues of matrices (see below), and for solving a ...

...amichi Y, Maruyama Y, Mikami B, Hashimoto W, Murata K | title = Structural determinants in streptococcal unsaturated glucuronyl hydrolase for recognition of glycos ...