Results 11 to 20 of about 7,596,236 (250)
Interfacing biology, category theory and mathematical statistics [PDF]
Electronic Proceedings in Theoretical Computer Science, 2020 Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and mathematical statistics. Specifically, we exhibit two families of statistical tests that satisfy this principle to achieve the detection of a signal in noise.
Pastor, Dominique +3 more
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Mathematical Morphology via Category Theory
CoRR, 2020 Mathematical morphology contributes many profitable tools to image processing area. Some of these methods considered to be basic but the most important fundamental of data processing in many various applications. In this paper, we modify the fundamental of morphological operations such as dilation and erosion making use of limit and co-limit preserving
Hossein Memarzadeh Sharifipour +1 more
openaire +2 more sources
A Convenient Category of Domains [PDF]
, 2007 topological spaces, generalising the usual ω-continuous dcppos of domain theory. Our category supports all the standard constructions of domain theory, including the solution of recursive domain equations.
Ingo Battenfeld +6 more
core +1 more source
The derived category of a tubular algebra [PDF]
, 1986 Happel D, Ringel CM. The derived category of a tubular algebra. In: Dlab V, Gabriel P, Michler G, eds. Representation Theory I: Finite dimensional algebras: Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa,
Dlab, Vlastimil +6 more
core +1 more source
Category Theory: The Mathematics for the Humanities? [PDF]
, 1994 Mathematics gives rigour to a subject. The humanities have long sought a formal basis in logic and set theory especially in the understanding of language and linguistics.
Rossiter BN, Heather MA
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cARTegory Theory: Framing Aesthetics of Mathematics [PDF]
, 2019 Mathematics can help investigate hidden patterns and structures in music and visual arts. Also, math in and of itself possesses an intrinsic beauty.
Mannone, Maria, Maria Mannone
core +1 more source
Towards a readable formalisation of category theory
, 2015 We formally develop category theory up to Yoneda's lemma, using Isabelle/HOL/Isar, and survey previous formalisations. By using recently added Isabelle features, we have produced a formal text that more closely approximates informal ...
O'Keefe, Greg
core +2 more sources
Mathematical theory on formation of category detecting nerve cells
Biological Cybernetics, 1978 The nerve cells are believed to have such ability of self-organization that, given a number of input patterns, each cell tunes itself to become responsive to only one of the patterns, or to one subset of patterns having some features in common. The detectors of patterns or pattern subsets are formed in this manner.
Amari, Shun-ichi, Takeuchi, Akikazu
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Mathematical Modelling by Help of Category Theory: Models and Relations between Them [PDF]
Mathematics, 2021 The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role of model comparison and model choice is becoming particularly important. Methods for model comparison and model choice typically used in practical applications nowadays are
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source