There’s no stopping Team USA! A hard-fought win over Bosnia and Herzegovina keeps the @USMNT’s @FIFAWorldCup dream alive. Go USA! 🇺🇸⚽️ @SFBayArea26 #W杯# @FIFAWorldCup_JP

I’m glad to be in the JAPAN TEAM squad for the World Cup 2026🇯🇵 It’s an honor to lead this Japan team as the captain. It wasn’t an easy way to recover from the injury but I believed in myself to make this happen and will keep working hard to get fit for the games. Thank you all my teammates,staff and the fans for always being with and supporting me. I hope to see you all the @LFC fans on the pitch at Anfield next week before going to the World Cup.YNWA❤️ W杯メンバーに選出されたこと、キャプテンとしてこのチームを引っ張っていけることを非常に嬉しく思います。 まずは自分自身が引き続きしっかり良い準備をしてW杯に挑んでいきます。 5月31日に国立でファンの皆さんにお会いできるのを楽しみにしています。 日本がまだ見たことのない景色をみんなで見ましょう！！ #worldcup2026# #worldcup# #ynwa#

W(q, p) is allowed to be negative. That single liberty turns a classical phase-space density into a complete encoding of a quantum state. Wigner defined it in 1932 so that the ordinary integrals W(q, p) = (1/π) ∫ ψ*(q + y) ψ(q − y) exp(2 i p y) dy recover the correct position and momentum probabilities as marginals, while expectation values of Weyl-ordered operators become ordinary averages against W. Only Gaussian wave packets stay non-negative everywhere; every other pure state must oscillate through negative regions, the visible imprint of quantum interference. The same idea, discretized by parity, paints each point of the Bloch sphere with a characteristic pattern of positive and negative values.