เครื่องมือแก้โจทย์คณิต AI

+ − × ÷ = ≠ < > ≤ ≥ □/□ √□ □² □³ □^□ ± π ° θ ∞ (□) |□|

+ − × ÷ ± ∓ □/□ 1/□ □ □/□ √□ ⁿ√□ □² □³ □^□ = ≠ ≈ < ≤ > ≥ ≪ ≫ · % ° π e ∞ (□) [□] |□| ⌈□⌉ ⌊□⌋ □! gcd(□, □) lcm(□, □)

x y z n k □/□ √□ ⁿ√□ □² □³ □^□ = ≠ ≈ < ≤ > ≥ ∝ ± f(□) □(□) □∘□ □⁻¹ (−b±√(b²−4ac))/2a b²−4ac □²−□² y = mx + b y − y₁ = m(x − x₁) [□, □] (□, □) [□, □) (□, □] {□, □} {□ if □, □ if □} ln(□) log₁₀(□) log□(□) e^□ |□| ∑ ∑□□

sin(□) cos(□) tan(□) csc(□) sec(□) cot(□) arcsin(□) arccos(□) arctan(□) sinh(□) cosh(□) tanh(□) π θ ϕ ∠ °

∠ △ ◯ □ ⊥ ∥ AB (segment) AB (ray) AB (line) arc □ ≅ ∼ ≥ ≤ ≠ ≈ · × ∪ ∩ ∠ABC ∡ ∢ sin(□) cos(□) tan(□) csc(□) sec(□) cot(□) arcsin(□) arccos(□) arctan(□) θ ϕ

□/□ lim □→□ ∑□□ d/dx d²/dx² dy/dx d²y/dx² d/dy d²/dy² d/dt d²/dt² dⁿ/dxⁿ □′ y′(x) y″(x) ∂ ∂/∂x ∂/∂y ∂/∂t ∫ dx ∫ d□ ∫□□ d□ |□□ ∬ d□d□ ∫□□∫□□ d□d□ ∭ d□d□d□ ∫□□∫□□∫□□ d□d□d□ ∮ ∇ ∇· ∇× ∇² ∞ Δx Δy

□/□ ∂ d/dx d/dy d/dt d²/dx² d²/dy² d²/dt² ∂/∂x ∂/∂y ∂/∂t ∫ dx ∫ d□ ∫□□ d□ ∬ d□d□ ∫□□∫□□ d□d□ ∭ d□d□d□ ∫□□∫□□∫□□ d□d□d□ ∮ y′(x) y″(x) dy/dx d²y/dx² Δ ∇² e^□ λ v⃗ ∇

· × ⟨□, □⟩ ‖□‖ v⃗ [□; □] [□; □; □] [□; □; □; □] 2×2 matrix 2×2 matrix ( ) 3×3 matrix 4×4 matrix det(□) Tr(□) rank(□) null(□) ker(□) im(□) span(□) diag(□) adj(□) □ᵀ □⁻¹ □† □̄ λ I ⊙ ⊕ ⊗

i □ + □i |□| arg(□) □̄ ℜ ℑ □e^iθ □(cos □ + i sin □) e^iπ + 1 = 0 ℂ e π θ

P(□) P(□ | □) E[□] Var(□) Cov(□, □) σ² σ μ x̄ ρ X ∼ □ N(μ, σ²) f(□) F(□) Φ(□) ϕ(□) χ² ⫫ →d →p →a.s. ∑ i=1..n □/□ (□ choose □)

∀ ∃ ∄ ∈ ∉ ⊂ ⊆ ⊃ ⊇ ∩ ∪ ∖ ∅ {□} → ↔ ∧ ∨ ¬ ⟹ ⟺ ∑□□ ∏□□ □ (□ choose □) □! gcd(□, □) lcm(□, □) P(□) ℤ ℤ⁺ ℤ⁻ ℕ ℝ ℚ ℂ ℙ

∧ ∨ ¬ ⊕ ⟹ ⟺ ↔ ∀ ∃ ∄ ∃! ≡ = ≠ ⊤ ⊥ ∴ ∵ ⊢ ⊨

∑ ∏ ∈ ∉ ⊂ ⊆ ⊃ ⊇ ∅ ∩ ∪ ∣ ∤ □ ≡ □ (mod □) gcd(□, □) lcm(□, □) □! (□ choose □) ′ ℵ ℵ₀ ℶ ∃ ∀ ∄ ∞ ¬ ∧ ∨ ⟹ ⟺ ℕ ℤ ℙ

(□ choose □) P(□, □) □! ∏□□ □ ∑□□ ⊂ ⊆ ∩ ∪ ∅ ∈ ∉ ∖ ℕ ℤ ℚ ℝ ℂ

∈ ∉ ⊆ ⊈ ⊂ ⊇ ⊉ ⊃ ∪ ∩ ∖ △ × ∅ P(□) U ∁ {□} ℤ ℤ⁺ ℤ⁻ ℕ ℝ ℚ ℂ ℙ

α β γ δ ϵ ζ η θ ι κ λ μ ν ξ ο π ρ σ τ υ ϕ χ ψ ω Γ Δ Θ Λ Ξ Π Σ Υ Φ Ψ Ω

i ∂ ∇ ℵ ℶ ℷ ℸ ℓ ℘ ℜ ℑ ◊ ⊤ ⊥ □ ◊ |□⟩ ⟨□|