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Mathematical proof: from mathematics to school mathematics [PDF]
Proof plays a central role in developing, establishing and communicating mathematical knowledge. Nevertheless, it is not such a central element in school mathematics. This article discusses some issues involving mathematical proof in school, intending to characterize the understanding of mathematical proof in school, its function and the meaning and ...
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The Mathematics of Computerized Tomography
The Mathematics of Computerized Tomography covers the relevant mathematical theory of the Radon transform and related transforms and also studies more practical questions such as stability, sampling, resolution, and accuracy.
F. Natterer
semanticscholar +1 more source
Concrete mathematics - a foundation for computer science
From the Publisher: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills ...
R. Graham, D. Knuth, Oren Patashnik
semanticscholar +1 more source
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2. Many consider it to be the most important unsolved problem in pure mathematics.
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Mathematical Machines: A Laboratory for Mathematics [PDF]
Macchine matematiche; dalla storia alla scuola is a book by Maria Grazia Bartolini Bussi and Michela Maschietto that provides a description of the reconstruction of many historical machines for drawing, and their impact on the history of mathematics. Underlying the book’s thesis are ideas about education and developments in neuroscience.
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Mathematics in mathematics education
What role does mathematics play in the teaching and research of some or all of the ‘disciplines’ of mathematics education, science education and the social sciences? This question was that to which I was asked to respond at the Academy of Science of South Africa’s workshop on the mathematical sciences, held in September 2016. As suggested by the title,
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The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu+12 more
wiley +1 more source
Understanding and measuring mechanical signals in the tumor stroma
This review discusses cancer‐associated fibroblast subtypes and their functions, particularly in relation to extracellular matrix production, as well as the development of 3D models to study tumor stroma mechanics in vitro. Several quantitative techniques to measure tissue mechanical properties are also described, to emphasize the diagnostic and ...
Fàtima de la Jara Ortiz+3 more
wiley +1 more source
This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi+2 more
wiley +1 more source