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Admin·New Post·Service Status
Powered by Cloudflare·03.11.26
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GPT-5.6 used a prompt to close a 30-year gap in convex optimization

Original article
old.reddit.com|327 points|194 comments|by mbustamanter|Jul 18, 2026

Breakthrough: GPT-5.6 Resolves Three-Decade Convex Optimization Mystery


🚀 The Headline News

In a stunning display of artificial intelligence capability, GPT-5.6 has successfully bridged a 30-year void in the field of convex optimization. This achievement was made possible through the application of a specific prompting technique, mirroring the methodology used in the previous "CDC proof" announcement. To ensure absolute mathematical rigor, the result was formally verified using the Lean theorem prover.

Post Metadata:

  • Date: July 15, 2026
  • Community: r/math
  • Reception: 726 points (95% approval rating)

AI Mathematics Visualization


🛠️ Community Governance: The Rules of /r/math

The discussion took place within the r/math subreddit, a community dedicated to the practice and profession of mathematics. To maintain high standards, the following regulations are strictly enforced:

Core Guidelines

  1. Thematic Consistency: All content must be directly related to mathematics.
    • Note: Political discourse is only permitted if it pertains to concrete events affecting the mathematical community. General political rambling is forbidden.
  2. Substantive Inquiry: Questions must be designed to trigger deep discussion.
    • Quick Questions→\text{Quick Questions} \rightarrowQuick Questions→ Use the dedicated thread.
    • Real-world estimations→\text{Real-world estimations} \rightarrowReal-world estimations→ Use r/askmath or r/theydidthemath.
    • Learning help→\text{Learning help} \rightarrowLearning help→ Use r/learnmath.
  3. Academic Integrity: No homework help allowed\text{No homework help allowed}No homework help allowed. Please visit r/homeworkhelp or r/cheatatmathhomework.
  4. Professional Advice: Career or educational guidance is restricted to the stickied Career Education Questions thread.
  5. Quality Media: Image or video posts must be high-effort and accompanied by a comment explaining their relevance to promote dialogue.
  6. Interpersonal Conduct:

    "Be excellent to each other. Do not troll, insult, antagonize, or otherwise harass."

Moderation Workflow:


📅 Weekly Schedule & Resources

The community organizes its discussions via a recurring calendar:

  • Monday: "What Are You Working On?"
  • Tuesday: "Discussing Living Proof"
  • Wednesday: "Quick Questions"
  • Thursday: "Career and Education Questions"
  • Friday: "This Week I Learned"
  • Weekend: Review of Free Online Math Resources

✍️ Technical Guide: Rendering Mathematics on Reddit

To properly view the complex notation used in these discussions, users are encouraged to install specific tools:

ToolTypeConfiguration Note
MathJaxUserscriptRequires Greasemonkey or Tampermonkey
TeX all the thingsChrome ExtensionSet inline math to [ ; ; ]
TeXtheWorldUserscriptStandard installation

Syntax Examples

To display a formula like Euler's Identity: [ ; e^{\pi i}+1=0 ; ]

Result: eπi+1=0e^{\pi i} + 1 = 0eπi+1=0

Formatting Cheat Sheet:

  • Subscripts: x*_sub_* →xsub\rightarrow x_{sub}→xsub​
  • Superscripts: x^(sup) →xsup\rightarrow x^{sup}→xsup
  • Combined: x*_sub_*sup* →xsubsup\rightarrow x_{sub}^{sup}→xsubsup​

🔣 Mathematical Symbol Reference

The following symbols are frequently utilized within the community:

CategorySymbols
Basic Math≠,±,∓,÷,×,⋅,,⊗,⊕,⊖,⊙,≤,≥,⪯,≻\neq, \pm, \mp, \div, \times, \cdot, \sqrt{}, \otimes, \oplus, \ominus, \odot, \le, \ge, \preceq, \succ=,±,∓,÷,×,⋅,​,⊗,⊕,⊖,⊙,≤,≥,⪯,≻
Geometry∠,⊥,≅,∼,∥,∡\angle, \perp, \cong, \sim, \parallel, \measuredangle∠,⊥,≅,∼,∥,∡
Algebra≡,≈,∝,∞,⌊⌋,⌈⌉,∑,∏,∐,∫\equiv, \approx, \propto, \infty, \lfloor \rfloor, \lceil \rceil, \sum, \prod, \coprod, \int≡,≈,∝,∞,⌊⌋,⌈⌉,∑,∏,∐,∫
Set Theory∅,∖,∁,∩,∪,⊆,⊂,∈,∉,N,Z,Q,R,C,ℵ\emptyset, \setminus, \complement, \cap, \cup, \subseteq, \subset, \in, \notin, \mathbb{N}, \mathbb{Z}, \mathbb{Q}, \mathbb{R}, \mathbb{C}, \aleph∅,∖,∁,∩,∪,⊆,⊂,∈,∈/,N,Z,Q,R,C,ℵ
Logic¬,∨,∧,  ⟹  ,  ⟺  ,∀,∃,∴,∵,⊤,⊥,⊢,⊨\neg, \lor, \land, \implies, \iff, \forall, \exists, \therefore, \because, \top, \bot, \vdash, \vDash¬,∨,∧,⟹,⟺,∀,∃,∴,∵,⊤,⊥,⊢,⊨
Analysis∫,∬,∭,∮,∇,Δ,δ,∂,F,L\int, \iint, \iiint, \oint, \nabla, \Delta, \delta, \partial, \mathcal{F}, \mathcal{L}∫,∬,∭,∮,∇,Δ,δ,∂,F,L
Greekα,β,γ,δ,ϵ,ζ,η,θ,ι,κ,λ,μ,ν,ξ,π,ρ,σ,τ,ϕ,χ,ψ,ω\alpha, \beta, \gamma, \delta, \epsilon, \zeta, \eta, \theta, \iota, \kappa, \lambda, \mu, \nu, \xi, \pi, \rho, \sigma, \tau, \phi, \chi, \psi, \omegaα,β,γ,δ,ϵ,ζ,η,θ,ι,κ,λ,μ,ν,ξ,π,ρ,σ,τ,ϕ,χ,ψ,ω

🌐 The Broader Ecosystem

For those seeking specialized knowledge, the following related subreddits are recommended:

General Math

  • r/learnmath
  • r/mathbooks
  • r/puremathematics
  • r/casualmath

Technical Tools

  • r/mathematica
  • r/matlab
  • r/sagemath

Interdisciplinary Fields

  • r/algorithms
  • r/compsci
  • r/statistics
  • r/numerical
  • r/actuary