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Number Theory I [PDF]

open access: yes, 2020
This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including ...
Sutherland, Andrew
core  

Connecting Number Theory with High School Mathematics [PDF]

open access: yes, 2023
Number theory is the study of natural numbers and one of the oldest branches of mathematics. Elementary number theory concepts are integrated into K-12 learning experience. This paper will identify ideas and methods in elementary number theory that could
Richmond, Andre
core   +1 more source

Interferon beta drives therapy resistance in a patient‐derived model of high‐grade serous ovarian cancer

open access: yesMolecular Oncology, EarlyView.
Interferon type 1 (IFN‐1) production and signaling is associated with the acquisition of therapy resistance, following chronic DNA damage, via Interferon‐related DNA damage resistance signature (IRDS) gene expression. An alternative, DNA damage‐independent role of sustained IFN‐1 mediated resistance was identified and characterized by the emergence of ...
Ashlyn Conant   +11 more
wiley   +1 more source

Complex analysis with applications to number theory [PDF]

open access: yes, 2020
The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics, undergraduate students of engineering and researchers in fields of complex analysis and number ...
Shorey, Tarlok Nath, Shorey, T N
core   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill   +4 more
wiley   +1 more source

2016 Gainesville Number Theory Conference [PDF]

open access: yes, 2017
Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory.
Andrews, George, Garvan, Frank
core   +1 more source

The skills required for transition to university and study in biological sciences: A student perspective

open access: yesFEBS Open Bio, EarlyView.
Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley   +1 more source

Protocol for quantifying miRNA trafficking across the endosomal membrane

open access: yesFEBS Open Bio, EarlyView.
An in vitro protocol measures miRNA uptake into endosomes isolated from mammalian cell extracts, which are free of subcellular contaminants. Performed at 37 °C in the presence of ATP, it ensures the import of single‐stranded miRNA into the endosomal lumen.
Syamantak Ghosh   +2 more
wiley   +1 more source

Body fractions: A physical approach to fraction learning [PDF]

open access: yes, 2011
Many students experience great difficulty understanding the meaning of fractions (Anthony & Walshaw, 2007; Behr, Lesh, Post & Silver, 1983; Davis, Hunting & Pearn, 1993; Lamon, 2007; Verschaffel, Greer & Torbeyns, 2006; Young-Loveridge, Taylor, Hawera ...
Mills, Judith Patricia, Mills, Judith
core  

Finite mathematics as the foundation of classical mathematics and quantum theory: with applications to gravity and particle theory [PDF]

open access: yes, 2020
This book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more ...
Lev, Felix
core   +1 more source

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