Results 61 to 70 of about 2,249,533 (341)

A proof of the conjecture of Cohen and Mullen on sums of primitive roots [PDF]

, 2014
We prove that for all $q>61$, every non-zero element in the finite field $\mathbb{F}_{q}$ can be written as a linear combination of two primitive roots of $\mathbb{F}_{q}$.
Cohen, Stephen D., Silva, Tomás Oliveira e, Trudgian, Tim   +2 more
core   +2 more sources

Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz, Ryan Cooper, Stefania Kaninia, Kathryn I. Challis, Will Greenway, Maria Bonello, Mahmoud Elbahnasawi, Deborah T. Shode, Dominika Gajdasik, Victor Iliev, Alison M. E. Whitelegg, Ian Galea   +11 more
wiley   +1 more source

A brief historical perspective of the Wiener-Hopf technique [PDF]

, 2007
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Abrahams, ID, Lawrie, JB
core   +2 more sources

Association of CDKN2A/B Homozygous Deletion and Extent of Resection With Survival of Patients With WHO CNS5 Grade 4 Astrocytoma

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives WHO grade 4 astrocytomas are associated with poor prognosis, and their prognostic factors remain controversial. This study aimed to identify the prognostic factors and develop a management algorithm for these patients. Methods This study retrospectively included 151 CNS5 adult grade 4 astrocytomas from two medical centers.
Jiawei Cai, Guanglin Zhu, Qiu He, Chen Luo, Lingyun Zhuo, Xingfu Wang, Yiming Chen, Xiaoyong Chen, Wendong You, Jiaheng Xu, Yuanxiang Lin, Dezhi Kang, Shuai Wu, Zanyi Wu   +13 more
wiley   +1 more source

A Theoretical Inquiry into the Ethics of Mathematics Teaching

Malikussaleh Journal of Mathematics Learning, 2019
This paper explores the ethics of the mathematics teacher, starting from the ethical obligations that all human being and professionals share towards those in their care.
Paul Ernest
doaj   +1 more source

Kaspar Schott’s “encyclopedia of all mathematical sciences” [PDF]

Poiesis & Praxis, 2011
In 1661, Kaspar Schott published his comprehensive textbook "Cursus mathematicus" in Würzburg for the first time, his "Encyclopedia of all mathematical sciences". It was so successful that it was published again in 1674 and 1677. In its 28 books, Schott gave an introduction for beginners in 22 mathematical disciplines by means of 533 figures and ...
openaire   +2 more sources

Ketogenic Diet as an Epigenetic Therapy in SETD1B‐Related Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Histone lysine methyltransferases such as SETD1B regulate chromatin structure and gene transcription. Ketone bodies, including butyrate, act as histone deacetylase inhibitors. We report a 4‐year‐old boy with SETD1B‐related absence epilepsy, refractory to conventional medications, who achieved sustained > 90% seizure reduction on the Modified ...
Erica Tsang, Brian S. Gloss, Jessica P. Hayes, Andrew J. A. Holland, Manoj P. Menezes, Joceline A. Branson, Shekeeb S. Mohammad, Jingya J. Yan, Shrujna Patel, Velda X. Han, Russell C. Dale   +10 more
wiley   +1 more source

It’s mathematics all the way down: revealing mathematical activity in non-formal learning spaces

Frontiers in Education
We offer this synthesized framework as a tool to reveal mathematical activity in a non-formal making-space. In particular, we connect research at different grain sizes to illustrate and explain how mathematics plays a crucial, if often implicit, role in ...
Caro Williams-Pierce, Nihal Katırcı, Amber Simpson, Ekta Shokeen, Janet Bih   +4 more
doaj   +1 more source

Quantifying the Impact of Ocrelizumab on Paramagnetic Rim Lesions in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Paramagnetic rim lesions (PRLs) are a subset of chronic active multiple sclerosis (MS) lesions marked by iron‐laden microglia and macrophages. Ocrelizumab, a monoclonal antibody targeting CD20+ B cells, suppresses acute MS activity, but its effect on PRLs remains unclear. In a longitudinal study of 29 ocrelizumab‐treated patients with at least
Kimberly H. Markowitz, Neha V. Safi, Iliana Pliska‐Bloch, Ulrike W. Kaunzner, Ha Luu, Mert Sisman, Yi Wang, Thanh D. Nguyen, Sandra Hurtado Rúa, Susan A. Gauthier   +9 more
wiley   +1 more source

All the mathematics in the world: logical validity and classical set theory

Zagadnienia Filozoficzne w Nauce, 2017
A recognizable topological model construction shows that any consistent principles of classical set theory, including the validity of the law of the excluded third, together with a standard class theory, do not suffice to demonstrate the general validity
David Charles McCarty
doaj