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The dual space

1995
Linear functionals and the dual space of a vector space are defined and characterized. Every vector space is shown to be canonically embeddable in its second dual. Maximal subspaces are characterized as kernels of nontrivial linear functionals. The trace of a square matrix is studied in detail. Over a field of characteristic 0, a square matrix is shown
J. Golan
openaire   +2 more sources

Dual-Space Graph-Based Interaction Network for RGB-Thermal Semantic Segmentation in Electric Power Scene

IEEE transactions on circuits and systems for video technology (Print), 2023
Real-time scene comprehension is the basis for automatic electric power inspection. However, existing RGB-based scene comprehension methods may achieve unsatisfied performance when dealing with complex scenarios, insufficient illumination or occluded ...
Chang Xu   +4 more
semanticscholar   +1 more source

Dual-Space Co-Evolutionary Memetic Algorithm for Scheduling Hybrid Differentiation Flowshop With Limited Buffer Constraints

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
This article proposes a novel and efficient dual-space co-evolutionary memetic algorithm (DCMA) to tackle a practical hybrid differentiation flowshop scheduling problem with limited buffer constraints.
Guanghui Zhang, Ling Wang, K. Xing
semanticscholar   +1 more source

Dual Space

Tools for Infinite Dimensional Analysis, 2020
Jeremy J. Becnel
openaire   +2 more sources

DUAL DIFFERENTIATION SPACES

Bulletin of the Australian Mathematical Society, 2019
We show that if $(X,\Vert \cdot \Vert )$ is a Banach space that admits an equivalent locally uniformly rotund norm and the set of all norm-attaining functionals is residual then the dual norm $\Vert \cdot \Vert ^{\ast }$ on $X^{\ast }$ is Fréchet at
Moors, Warren B., Tan, Neşet Özkan
openaire   +2 more sources

Achieving ultrahigh volumetric performance of graphene composite films by an outer–inner dual space utilizing strategy

, 2020
Graphene films often suffer from low gravimetric capacitance at high density due to low space utilization, resulting in undesirable volumetric performance.
Cong Huang   +9 more
semanticscholar   +1 more source

Performance Analysis of Dual Space Vector Modulation Technique-Based Quasi Z-Source Direct Matrix Converter

, 2020
— This article proposes a dual space vector control strategy for quasi Z-source direct matrix converter (QZSDMC) which is made up of quasi Z-source network coupled to a matrix converter (MC).
M. Thangavel   +2 more
semanticscholar   +1 more source

Dual Color Space Guided Sketch Colorization

IEEE Transactions on Image Processing, 2021
Automatic sketch colorization is a challenging task in both computer graphics and computer vision since all the color, texture, shading generation have to be created based on the abstract sketch.
Zhi Dou   +5 more
semanticscholar   +1 more source

DSAF: Dual Space Alignment Framework for Visible-Infrared Person Re-Identification

IEEE transactions on multimedia
Visible-infrared person re-identification (VI-ReID) is a cross-modality retrieval task that aims to match visible and infrared pedestrian images across non-overlapped cameras.
Yanli Jiang   +5 more
semanticscholar   +1 more source

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