Results 91 to 100 of about 25,799 (301)
Critical issues in the design of the school geometry curriculum
, 2000 The fundamental problem in the design of the geometry component of the mathematics curriculum is simply that there is too much interesting geometry, more than can be reasonably included in the mathematics curriculum.
Jones, Keith
core
A study of multifold Euclidean geometry codes [PDF]
, 1974 A class of majority-logic decodable codes recently introduced by Lin, the multifold Euclidean geometry codes, is considered in this dissertation. An improvement of the multifold Euclidean geometry codes is presented.
Yiu, Kai-Ping
core
Advanced Science, EarlyView.A self‐supervised multi‐view graph fusion framework integrates spatial multi‐omics, excelling in domain identification and denoising. It reconstructs spatial pseudo‐expression, jointly analyzes multi‐omics data, infers RNA velocity, predicts spatial omics features from single‐cell multi‐omics, and detects spatially dark genes and transcription factors,
Yuejing Lu +8 more
wiley +1 more source
THE FULFILLED EUCLIDEAN PLANE [PDF]
, 2009 The fulfilled euclidean plane is the real projective plane, completed with the infinite point of its infinite line denoted new incidence structure. This is a structure with neighbouring elements, in which the unicity of the line through two distinct ...
Vasiu, Angela, Vasiu, Adrian
core +1 more source
A Data‐Driven Inverse Design Methodology for Magnetic Soft Millirobots Navigating in Confined Spaces
Advanced Science, EarlyView.A data‐efficient inverse design framework automates the optimization of magnetic soft millirobots for confined‐space navigation. Integrating a physics‐based Cosserat rod model with Bayesian optimization efficiently identifies high‐performance geometries.
Ziyu Ren +5 more
wiley +1 more source
Integrating Hamiltonian systems defined on the Lie groups SO(4) and SO(1,3)
, 2007 This paper examines optimal solutions of control systems with drift defined on the orthonormal frame bundle of particular Riemannian manifolds of constant curvature. The manifolds considered here are the space forms Euclidean space E³, the spheres S³ and
Biggs, James +4 more
core
Topology‐Aware Deep Learning on Higher‐Order Structures for Drug Response Prediction
Advanced Science, EarlyView.We present TopDr, a topology‐aware deep learning framework that encodes both drugs and cell lines as multiscale simplicial complexes, capturing interactions at the 0‐, 1‐, and 2‐simplex levels. By jointly integrating local higher‐order neighborhoods and global topological structures, TopDr generates enriched representations for sensitivity prediction ...
Cong Shen +3 more
wiley +1 more source
Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects
Universe, 2018 Space out of a topological defect of the Abrikosov–Nielsen–Olesen (ANO) vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects are induced in the vacuum.
Yurii A. Sitenko +1 more
doaj +1 more source
Advanced Science, EarlyView.We developed the ASCAL pipeline, integrating complementary spatial transcriptomics, to construct a high‐fidelity mouse whole‐eye single‐cell atlas. Applying ASCAL to a retinal artery occlusion (RAO) model revealed spatially restricted immune activation localized to the ganglion cell layer and the selective depletion of a translationally active, outer ...
Chen Du +11 more
wiley +1 more source
Advanced Science, EarlyView.STransformer is a unified deep learning framework designed to seamlessly accommodate a comprehensive landscape of spatial data. By simultaneously capturing short‐range cellular interactions and tissue‐wide semantic patterns, it extracts robust representations to accurately dissect complex tissue heterogeneity.
Xingyi Li +9 more
wiley +1 more source