Opinion
Morning Overview on MSNOpinion

After 40 years, Sebestyen’s theorem breaks past old math limits

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

THz spectroscopy system bypasses long-standing tradeoff between spectral and spatial resolution

Terahertz (THz) radiation, which occupies the frequency band between microwaves and infrared light, is essential in many next ...

Physicists repair flaw of established quantum resource theorem

Quantum information theory is a field of study that examines how quantum technologies store and process information. Over the ...
EurekAlert!

Decades-old mathematical theorem extended to unbounded linear systems for the first time

Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...
New Scientist

Our elegant universe: rethinking nature’s deepest principle

For centuries, the principle of symmetry has guided physicists towards more fundamental truths, but now a slew of shocking findings suggest a far stranger idea from quantum theory could be a deeper dr ...
Interesting Engineering on MSN

Sebestyen’s theorem crosses into infinity after 40 years of mathematical limits

At the University of Vaasa in Finland, mathematician Yosra Barkaoui has successfully generalized a fundamental theorem that had remained confined to “bounded” systems for more than 40 years.
Investopedia

Sampling Distribution: Definition, How It's Used, and Example

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Thomas J. Brock is a CFA and CPA with more ...
IEEE

Spatial–Spectral Graph Contrastive Clustering With Hard Sample Mining for Hyperspectral Images

Abstract: Hyperspectral image (HSI) clustering is a fundamental yet challenging task that groups image pixels with similar features into distinct clusters. Among various approaches, contrastive ...
IEEE

Sparse Sampling in Fractional Fourier Domain: Recovery Guarantees and Cramér–Rao Bounds

Abstract: Sampling theory in fractional Fourier Transform (FrFT) domain has been studied extensively in the last decades. This interest stems from the ability of the FrFT to generalize the traditional ...
Yahoo Finance

Spectral AI, Inc. (MDAI)

This price reflects trading activity during the overnight session on the Blue Ocean ATS, available 8 PM to 4 AM ET, Sunday through Thursday, when regular markets are closed. Chart does not reflect ...
Nature

The North Pacific: an Example of Tectonics on a Sphere

Individual aseismic areas move as rigid plates on the surface of a sphere. Application of the Mercator projection to slip vectors shows that the paving stone theory of world tectonics is correct and ...