研究「夢境工程」(dream engineering)的科學家表示,透過在入睡時植入特定想法,未來或許能引導人們在睡眠中所經歷的內容。
Recall that a barycentric coordinate system is given with respect to a -dimensional simplex, where is no larger than the dimensional space. Given a set of scattered points, it’s possible to create a tessellation of the space by forming simplices from the points, such that any input point that lies within the convex hull of the scattered set can be expressed in terms of the enclosing simplex and its corresponding barycentric coordinates2. This can be understood as a kind of triangulated irregular network (TIN).
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That outcome isn’t accidental. The Trust’s website invites anyone wishing to reproduce Mondrian’s work to “contact us about images you wish to reproduce… so that we can check on the copyright status and clear rights if needed.” The implication is clear: ask permission first, and the answer may depend less on the law than on who’s asking.
Anthropic recently built a 100,000-line C compiler using parallel AI agents in two weeks, for under $20,000. It boots Linux and compiles SQLite, PostgreSQL, Redis, and Lua. AI can now produce large-scale software at astonishing speed. But can it prove the compiler correct? Not yet.