Results 11 to 20 of about 20,179 (255)
From Mathematics to Software Engineering: Introducing Category Theory into the Computer Science Curriculum [PDF]
Lecture Notes in Computer Science, 2007 Category theory, with its increasing role in computer science, has proved useful in the investigation of programming languages and other theoretical aspects of software engineering. As a bridge-building exercise, we introduce the category theory course into the computer science curriculum, the purpose of which includes building a unified framework to ...
Yu-Jun Zheng, Haihe Shi, Jinyun Xue
exaly +2 more sources
Notes on Category Theory with examples from basic mathematics
CoRR, 2019 These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. There is no need to know advanced mathematics, nor any of the disciplines where category theory is traditionally applied, such as algebraic geometry or ...
Perrone, Paolo
openaire +3 more sources
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
Legatiuk, Dmitrii, Dmitrii Legatiuk
openaire +5 more sources
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
openaire +6 more sources
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
Rigidity and exotic models for the K-local stable homotopy category [PDF]
, 2007 Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2.
Roitzheim, C., Roitzheim, Constanze
core +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Only up to isomorphism? Category Theory and the Foundations of Mathematics [PDF]
, 2010 Does category theory provide a foundation for mathematics that is autonomous with respect to the orthodox foundation in a set theory such as ZFC? We distinguish three types of autonomy: logical, conceptual, and justificatory.
Pettigrew, Richard, Linnebo, Øystein
core
FEBS Open Bio, EarlyView.Amino acids sequence of two different proteins with the same sequence (chameleon sequence—black boxes) represent in 3D structure of the proteins different secondary structures: HHHH—helical and BBB—Beta‐structural. The chains folded in water environment adopt different III‐order structures in which the chameleon fragments appear to adopt similar status
Irena Roterman +4 more
wiley +1 more source