Results 61 to 70 of about 3,609,525 (244)

Solution to algebraic equations of degree~4 and the fundamental theorem of algebra by Carl Friedrich Gauss

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
Since Geronimo Cardano, algebraic equations of degree 4 have been solved analytically. Frequently, the solution algorithm is given in its entirety. We discovered two algorithms that lead to the same resolvente, each with two solutions; therefore, six ...
Norbert Südland, Jörg Volkmann, Dinesh Kumar   +2 more
doaj  

Computation of General Inner-Outer and Spectral Factorizations [PDF]

, 2000
In this paper, we solve two problems in linear systems theory: the computation of the inner-outer and spectral factorizations of a continuous-time system considered in the most general setting.
Varga, A., Oara, C.
core  

Tau Aggregate Imaging and Transcriptomics of Alzheimer's Disease Brain at Different Stages of Disease

Advanced Science, EarlyView.
The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English, Dorothea Böken, Matthew W. Cotton, Matthew R. Cheetham, Johanna S. Jackson, Georg Meisl, John S. H. Danial, Paul M. Matthews, Nurun N. Fancy, David Klenerman   +9 more
wiley   +1 more source

Chemotherapy‐Activated GSK3β‐DNMT1 Signaling Upregulates CD47 to Evade Macrophage Phagocytosis and Drive Temozolomide Resistance in Glioblastoma

Advanced Science, EarlyView.
Temozolomide treatment activates GSK3β, driving DNMT1 phosphorylation, destabilization, and CD47 promoter hypomethylation in glioblastoma. This epigenetic shift upregulates CD47, enabling TMZ‐treated GBM cells to evade macrophage phagocytosis, survive chemotherapy, and acquire resistance.
Jie Li, Shuai Ying, Yi Zhang, Jingjing Wang, Quan Wan, Lingli Gong, Daxing Xu, Zhenkun Yang, Hongnian Lu, Ying Yin, Xiangming Fang, Zhening Pu   +11 more
wiley   +1 more source

Algebraic discrete causal models [PDF]

, 2010
The main feature of the paper is to show that Algebraic Statistics is a natural framework to address issues of causality and to help discern a total cause.
Thwaites, Peter, Riccomagno, Eva, Smith, J. Q.   +2 more
core  

Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content

Advanced Science, EarlyView.
Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri, A. Mangiarotti, C. N. Z. Schmitt, R. Dimova   +3 more
wiley   +1 more source

Algebraic causality : Bayes nets and beyond [PDF]

, 2007
The relationship between algebraic geometry and the inferential framework of the Bayesian Networks with hidden variables has now been fruitfully explored and exploited by a number of authors.
Riccomagno, Eva, Smith, J. Q.
core  

Multiferroic Quantum Criticality in a Proper Ferroelectric Quasi‐one‐dimensional Ising Antiferromagnet

Advanced Science, EarlyView.
Sr1−xBaxCo2V2O8 is established as a magnetic‐ion‐based proper displacive ferroelectric whose transition is continuously suppressed by Ba substitution to a ferroelectric quantum critical point. In the resulting quantum paraelectric regime, a transverse magnetic field induces magnetic quantum criticality, realizing multiferroic quantum criticality and ...
Takayuki Nagai, Peisen Yu, Akitoshi Nakano, Tsuyoshi Kimura   +3 more
wiley   +1 more source

On Solving The Systems of Algebraic Equations Using Gröbner Bases

Труды Института системного программирования РАН, 2018
Described and proved the algorithm for finding some solution of algebraic equations over arbitrary field k for zero dimension ideals if Gröbner basis of this ideal over lexicographic order is given.
Alexander Shokurov
doaj  

The impact of various teaching methods on the knowledge of students of different genders: The case of mathematics word problems abstract

Heliyon
Despite significant progress in recent years, there is still evidence of gender differences and underrepresentation of women in leadership positions in mathematics.
Iris Schreiber, Hagit Ashkenazi
doaj   +1 more source