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Further evidence towards the Fourier Entropy-Influence conjecture

arXiv:2606.00246v1 Announce Type: cross Abstract: The Fourier Entropy-Influence (FEI) conjecture states that the Fourier entropy of Boolean functions is uniformly bounded by their total influence. It has been verified for canonical examples such as disjoint tribes and for some classes of Boolean functions such as symmetric functions and read-$k$ decision trees (with a constant that depends linearly on $k$). In this note we present new classes of Boolean functions that verify the FEI conjecture.

arXiv CS 8d ago

Doctors thought this kidney drug helped some patients. It may help millions more.

Doctors thought this kidney drug helped some patients. It may help millions more. - Date: - June 8, 2026

Science Daily 2d ago

Success-starved China fans adopt 'Card Master' referee as World Cup rep

Success-starved China fans adopt 'Card Master' referee as World Cup rep Ma Ning is the only Chinese match referee at the tournament, where he is making his second World Cup appearance, having debuted as a fourth official in Qatar in 2022. Chinese football fans left without a national team to support at the World Cup have turned to referee Ma Ning - nicknamed "Card Master" for his enthusiasm in booking players - as the country's representative for the tournament. With China's team once again...

Channel News Asia 18h ago

Intermittent fasting triggers surprising changes in the brain

Intermittent fasting triggers surprising changes in the brain An intermittent fasting-style diet helped obese adults lose weight while triggering coordinated changes in both their gut bacteria and brain activity. - Date: - May 31, 2026 - Source: - Frontiers - Summary: - Losing weight may involve rewiring the gut and the brain at the same time. In a study of obese adults, an intermittent fasting-style diet led to significant weight loss, healthier metabolic markers, and notable shifts in gut...

Science Daily 10d ago

Zhang Linghe, Dylan Wang, Xiao Zhan: 8 Chinese period drama actors fans can't get enough of

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Channel News Asia 13h ago

Scientists mapped every neural connection in a fruit fly and found a surprise

Scientists mapped every neural connection in a fruit fly and found a surprise Scientists have completed the first full brain-to-body wiring map of a fruit fly, revealing that behavior may be driven more by local neural teamwork than by a central brain command center. - Date: - June 10, 2026 - Source: - Harvard Medical School - Summary: - A groundbreaking new connectome maps every neural connection in an adult fruit fly’s central nervous system, creating an unprecedented view of how the brain...

Science Daily 10h ago

Diverse binding poses of agonistic neurotoxins on human Na<sub>v</sub>1.6

Abstract Voltage-gated sodium (Nav) channels are key targets of various venomous toxins. Deciphering the binding poses and mechanisms of action of representative toxins will help to dissect the functional mechanism of the channels and facilitate therapeutic development targeting Nav channels1,2. Here we present cryo-electron microscopy (cryo-EM) structures of distinct binding poses of three agonistic peptide toxins on the human Nav1.6–β1 channel complex.

Nature 20h ago