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Everything about Supermatrix
In mathematics and theoretical physics, a supermatrix is a Z2-graded analog of an ordinary matrix. Specifically, a supermatrix is a 2×2 block matrix with entries in a superalgebra. The most important examples are those with entries in a commutative superalgebra or an ordinary field. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: SupermatrixA 5-minute orientation
- Skim a recent paper: Circular economy adoption barriers: An extended fuzzy best–worst method using fuzzy DEMATEL and Supermatrix structureInfluential work since 2022
- Read the landmark paper: Combining phylogenomic and supermatrix approaches, and a time-calibrated phylogeny for squamate reptiles (lizards and snakes) based on 52 genes and 4162 speciesCited 602 times
- Go sideways: SuperalgebraA closely related topic
- Go sideways: SupermoduleA closely related topic
đź“– Definitions
Noun The larger matrix from which a submatrix is derived.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Combining phylogenomic and supermatrix approaches, and a time-calibrated phylogeny for squamate reptiles (lizards and snakes) based on 52 genes and 4162 species
Macroevolutionary Dynamics and Historical Biogeography of Primate Diversification Inferred from a Species Supermatrix
The supermatrix approach to systematics
Mega-phylogeny approach for comparative biology: an alternative to supertree and supermatrix approaches
Estimating the phylogeny and divergence times of primates using a supermatrix approach
A Molecular Supermatrix of the Rabbits and Hares (Leporidae) Allows for the Identification of Five Intercontinental Exchanges During the Miocene
Complete Generic-Level Phylogenetic Analyses of Palms (Arecaceae) with Comparisons of Supertree and Supermatrix Approaches
A supermatrix analysis of genomic, morphological, and paleontological data from crown Cetacea
🆕 Influential since 2022
Circular economy adoption barriers: An extended fuzzy best–worst method using fuzzy DEMATEL and Supermatrix structure
A supermatrix phylogeny of the world’s bees (Hymenoptera: Anthophila)
The value of updating GenBank accessions for supermatrix phylogeny: The case of the New Guinean marsupial carnivore genus Myoictis
Application of a parametric supermatrix multi-task multimodal deep learning model based on electroencephalogram and peripheral physiological signal fusion in emotion recognition
Supermatrix analyses reveal the importance of outgroup, gene and taxon sampling in Onosma (Boraginaceae) phylogenetics
đź“š Books worth reading
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đź”— Related topics
- Superalgebra In mathematics and theoretical physics, a superalgebra is a Z 2 {\displaystyle \mathbb {Z} _{2}} -graded algebra. That is, it is an algebra over a commutative…
- Supermodule In mathematics, a supermodule is a Z2-graded module over a superring or superalgebra. Supermodules arise in super linear algebra which is a mathematical…
- Super vector space In mathematics, a super vector space is a Z 2 {\displaystyle \mathbb {Z} _{2}} -graded vector space, that is, a vector space over a field K {\displaystyle…
- Lie superalgebra In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } ‑grading. Lie superalgeb…
- Berezinian In mathematics and theoretical physics, the Berezinian or superdeterminant is a generalization of the determinant to the case of supermatrices. The name…
- Matrix multiplication In mathematics, specifically in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication…
- Supercommutative algebra In mathematics, a supercommutative (associative) algebra (sometimes termed a commutative superalgebra) is a superalgebra (i.e. a Z2-graded algebra) such…
- Supertrace In the theory of superalgebras, if A is a commutative superalgebra, V is a free right A-supermodule and T is an endomorphism from V to itself, then the…