A filled torus (a doughnut) is a 3-manifold homeomorphic to \(S^1 \times D^2\), where \(D^2\) is the 2-dimensional disk. There exists a deformation retract from the doughnut to a circle, so the fundamental group of the doughnut is \(\pi_1(S^1 \times D^2) \cong \mathbb{Z}\).
“Humans are now the minority on the internet; we’ve seen bot-to-human traffic increase 50 times year over year,” said Johnny Ayers, the CEO of Socure, an AI-powered identity verification software company. Ayers told Fortune that thanks to bots, the use of deepfakes has increased nearly 8,000% year over year—rendering plenty of the verification software in the market useless. Instead, one of the digital checks his company employs includes using each cell phone’s gimbal to see if a human is indeed holding the phone when going through identity verification.
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The women’s gold medal had been a prime opportunity for Trump to live up to his stated commitment to “protect opportunities for women and girls to compete in safe and fair sports”, a claim made last February when he sought to position himself as the figure saving women’s sports. Instead, he decided to make a joke at the expense of Olympic champions.。搜狗输入法2026是该领域的重要参考
昨天，马斯克在 X 平台转发 Starlink 官方消息称，第二代星链移动（Starlink Mobile）卫星将提供「5G 速度」的太空互联网服务，数据密度是当前 V1 代的 100 倍。
vs impact trade-off would need to be judged on a case-by-case basis. I