Results 91 to 100 of about 48,912 (312)

Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012) [PDF]

open access: yes, 2011
In 1862 Wolstenholme proved that for any prime $p\ge 5$ the numerator of the fraction $$ 1+\frac 12 +\frac 13+...+\frac{1}{p-1} $$ written in reduced form is divisible by $p^2$, $(2)$ and the numerator of the fraction $$ 1+\frac{1}{2^2} +\frac{1}{3^2}
Mestrovic, Romeo
core  

An AI‐Enabled All‐In‐One Visual, Proximity, and Tactile Perception Multimodal Sensor

open access: yesAdvanced Robotics Research, EarlyView.
Targeting integrated multimodal perception of robots, an AI‐enabled all‐in‐one multimodal sensor is proposed. This sensor is capable of perceiving three types of modalities, including vision, proximity, and tactility. By toggling an ultraviolet light and adjusting the camera focus, it switches smoothly between multiple perceptual modalities, enabling ...
Menghao Pu   +7 more
wiley   +1 more source

A note on finite lattices with many congruences [PDF]

open access: yes, 2017
By a twenty year old result of Ralph Freese, an $n$-element lattice $L$ has at most $2^{n-1}$ congruences. We prove that if $L$ has less than $2^{n-1}$ congruences, then it has at most $2^{n-2}$ congruences.
Czédli, Gábor
core   +1 more source

Single‐Cell Mitochondrial Lineage Tracing Decodes Fate Decision and Spatial Clonal Architecture in Human Hematopoietic Organoids

open access: yesAdvanced Science, EarlyView.
This study repurposes mitochondrial DNA mutations as endogenous barcodes for lineage tracing in human pluripotent stem cell‐derived organoids. Integrated with transcriptomic and spatial data, it reveals NOTCH‐mediated stromal‐progenitor crosstalk orchestrates clonal dynamics and spatial zonation during early hematopoietic development, offering a non ...
Yan Xue   +17 more
wiley   +1 more source

Recent Advances and Perspectives on Field‐Effect Transistors for Artificial Visual Neuromorphic Systems

open access: yesAdvanced Science, EarlyView.
This review presents a comprehensive overview of FET‐based visual neuromorphic systems, covering their semiconductor materials, core device architectures, and operating mechanisms. It further reviews their implementation in emulating biological visual functions, addresses current technological challenges, and outlines future development directions. The
Liu Yaqian   +11 more
wiley   +1 more source

Tricomi Continuants

open access: yesMathematics
In this paper, we introduce and study the Tricomi continuants, a family of tridiagonal determinants forming a Sheffer sequence closely related to the Tricomi polynomials and the Laguerre polynomials.
Emanuele Munarini
doaj   +1 more source

Identification of a Force‐Induced Sox9+Acan+ Transitional Subpopulation Linked to FGF2–FGFR2–ERK Signaling in Orthodontic Bone Remodeling

open access: yesAdvanced Science, EarlyView.
Mechanical loading induces a previously unrecognized Sox9+Acan+ transitional mesenchymal cell population in the periodontal ligament that promotes osteoclastogenesis via the FGF2–FGFR2–ERK axis. Targeting this mechanoresponsive stromal population using a localized GelMA@siRNA delivery strategy attenuates pathological osteoclast overactivation and root ...
Miao Tan   +9 more
wiley   +1 more source

Conceptualising quality early childhood education: Learning from young children in Brazil and South Africa through creative and play‐based methods

open access: yesBritish Educational Research Journal, EarlyView., 2023
Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright   +8 more
wiley   +1 more source

Cellular Identity Crisis: RD3 Loss Fuels Plasticity and Immune Silence in Progressive Neuroblastoma

open access: yesAdvanced Science, EarlyView.
Researchers discovered that therapy‐induced loss of RD3 protein in neuroblastoma triggers a dangerous shift: cancer cells become more stem‐like, invasive, and resistant to treatment while evading immune detection. RD3 loss suppresses antigen presentation and boosts immune checkpoints, creating an immune‐silent environment.
Poorvi Subramanian   +7 more
wiley   +1 more source

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