Categories without structures [PDF]
The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics. While structural mathematics studies invariant forms (Awodey) categorical mathematics studies covariant transformations which, generally, don t ...
Rodin, Andrei
arxiv +8 more sources
Abstract Entry into the field of clinical medical physics is most commonly accomplished through the completion of a Commission on Accreditation of Medical Physics Educational Programs (CAMPEP)‐accredited graduate and residency program. To allow a mechanism to bring valuable expertise from other disciplines into clinical practice in medical physics, an “
Joann I. Prisciandaro+6 more
wiley +1 more source
Uniqueness of radiomic features in non‐small cell lung cancer
Abstract Purpose The uniqueness of radiomic features, combined with their reproducibility, determines the reliability of radiomic studies. This study is to test the hypothesis that radiomic features extracted from a defined region of interest (ROI) are unique to the underlying structure (e.g., tumor). Approach Two cohorts of non‐small cell lung cancer (
Gary Ge, Jie Zhang
wiley +1 more source
Multiple sclerosis clinical decision support system based on projection to reference datasets
Abstract Objective Multiple sclerosis (MS) is a multifactorial disease with increasingly complicated management. Our objective is to use on‐demand computational power to address the challenges of dynamically managing MS. Methods A phase 3 clinical trial data (NCT00906399) were used to contextualize the medication efficacy of peg‐interferon beta‐1a vs ...
Chadia Ed‐driouch+13 more
wiley +1 more source
On structures in hypergraphs of models of a theory [PDF]
We define and study structural properties of hypergraphs of models of a theory including lattice ones. Characterizations for the lattice properties of hypergraphs of models of a theory, as well as for structures on sets of isomorphism types of models of ...
Kulpeshov, Beibut, Sudoplatov, Sergey
core +3 more sources
“Not Like a Big Gap, Something We Could Handle”: Facilitating Shifts in Paradigm in the Supervision of Mathematics Graduates upon Entry into Mathematics Education [PDF]
Mathematics is the discipline that a significant majority of most incoming researchers in mathematics education have prior qualifications and experience in.
Nardi, Elena
core +1 more source
'They don't use their brains what a pity': school mathematics through the eyes of the older generation [PDF]
The paper considers issues in the teaching of mathematics from the viewpoint of a group of people aged 75 and over. Drawing on written accounts of their use of and attitude to mathematics, extracts are identified in which they reflect on their own ...
Houssart, Jenny
core +2 more sources
Investigating mathematics and learning to teach mathematics [PDF]
This paper deals with an idea that plays an increasing role in teaching and in teacher education—investigating as a powerful paradigm of knowledge construction.
Ponte, João Pedro da
core +1 more source
Conceptions, language, culture and mathematics and the New Zealand curriculum. [PDF]
In this paper we explore two conceptions of mathematics that are evident in literature. Mathematics as a static body of knowledge is one conception, and another is of mathematics being an endeavour that is constructive and creative.
Bailey, Judy, Taylor, Merilyn
core +2 more sources
Social Justice in and through Mathematics Education: For Improving the Quality of Mathematics Teaching and Internalising Students’ Character Building [PDF]
Aside from being one of the systematically arranged disciplines, mathematics is also a social construction that views humans as active subjects in building knowledge through interaction with the surrounding environment.
., Suhendra+2 more
core