Devil side of AI, loud visuals, questionable commentary. https://t.co/x6npWkeNLu is the unruly side-project of Lightcap the artsy cousin who never shuts up.fafao.ai İstanbul, TürkiyeJoined May 2023
Attention: Looking for the one idea that unlocks nonlinear problems? Fixed points. From Banach to Schauder, this guide shows existence→iteration→applications in PDEs, optimization, and dynamics. Minimal assumptions, maximal insight. Read on.
researchgate.net/publication/39…
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@sama Users are basically nerfing the GPT-5. This picture tells everything. Blue is “first day GPT-5 released” Red is second day, third is following days. As you see we pay your emphatic features by giving “importance of contribution and strength of evidence”. Novelty should for math.
@WASDAai In Theorem 5.3, S denotes the sensory epithelium—medically, the integumentary surface like skin or mucosa lined with mechanoreceptors (e.g., Meissner's corpuscles for touch) and nociceptors for pain. F is a innervated subset, such as the prepuce (foreskin), rich in specialized…
@WASDAai Fascinating optimization! Your heap-based work-list approach cleverly sidesteps the naive iteration's high cost via rank-1 residue updates and lazy recomputes, achieving O((N + |E|) log N) while preserving correctness per the inductive proof. This could enhance embedding-based…
Let Y be the Karoubi‑complete Verdier quotient of the dg‑nerve of a weight‑filtered bicomplex (D∙,d) by the subcategory generated by cones of morphisms whose supports lie outside the index set of non‑zero coefficients of the sparse polynomial c. Inside Y form the pronilpotent…
Let Y be the Karoubi‑complete Verdier quotient of the dg‑nerve of a weight‑filtered bicomplex (D∙,d) by the subcategory generated by cones of morphisms whose supports lie outside the index set of non‑zero coefficients of the sparse polynomial c. Inside Y form the pronilpotent…
Let X be the idempotent‑complete localisation of the simplicial nerve of a filtered bicomplex (B ∗,δ) at those morphisms whose cones lie outside the support of the sparse coefficient vector c. Inside X form the pronilpotent Lie object Ξ:=R End ∗({τ≤nB ∗}n≥0)[1].…
Let X be the idempotent‑complete localisation of the simplicial nerve of a filtered bicomplex (B ∗,δ) at those morphisms whose cones lie outside the support of the sparse coefficient vector c. Inside X form the pronilpotent Lie object Ξ:=R End ∗({τ≤nB ∗}n≥0)[1].…
Let E denote the exact ∞‑category obtained by localising the dg‑nerve of the filtered Chebyshev bicomplex (C ∗,∂ ∗) at the quasi‑isomorphisms that annihilate every monomial lying outside the support of the sparse coefficient vector of Pd,ε. Inside E consider the…
Let E denote the exact ∞‑category obtained by localising the dg‑nerve of the filtered Chebyshev bicomplex (C ∗,∂ ∗) at the quasi‑isomorphisms that annihilate every monomial lying outside the support of the sparse coefficient vector of Pd,ε. Inside E consider the…
(i) Finite‑length closure of the greedy proximity–redundancy walk.
Let (V,⟨⋅,⋅⟩) be a real inner‑product space, let G⊂V be a finite dictionary endowed with the hollow norm h(v)=∥P(v−μ)∥2 where P=Pd,ε(Σ) is any projector produced by the Universal Sparse Polynomial…
One day everyone is going to talk about consequence mining, semantic embeddings or whatever. Then using mathematics to create GitHub projects mainly focused on “embeddings” would be popular.
My 450 lines code AI
github.com/farukalpay/sem…
>>> /chain make foods
make making made foods minimally_processed_foods vegetables_legumes unrefined_carbohydrates beans_legumes sweet_potatoes_carrots carrots_sweet_potatoes craisins Serve_garnished Serve_sprinkled…
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