Mathematics as an artform · Oklahoma

The problems
others can't solve.

Advanced mathematics, physics, chemistry, and economics for organizations facing complexity beyond conventional consulting. shown, not claimed.

e^{iπ} + 1 = 0

Call (405) 806-0399 Email Info@ArcAngles.Art Or watch us solve something first

Consultations are 30 minutes, confidential, and without obligation.

Six Disciplines · One Team

Real problems don't respect disciplinary boundaries.

Every engagement draws from the full spectrum. The notation below is not decoration — it is the actual working language of each practice.

min_{x \in Ω} f (x) s.t. g (x) \leq 0

Modeling & Optimization

Optimization, differential equations, stochastic modeling, game theory — frameworks built on proof, delivered with full methodology.

ρ (\partial u / \partial t + u \cdot \nabla u) = - \nabla p + μ \nabla^{2} u

Physics & Engineering Analysis

Fluid dynamics, thermodynamics, structural and signal analysis — computational physics applied to real engineering constraints.

d [A] / d t = - k [A]^{n}

Applied Chemistry

Reaction kinetics, molecular modeling, and process optimization for chemical and materials problems.

d S = μ S d t + σ S d W

Economics & Market Analysis

Econometrics, pricing optimization, risk quantification, auction and game theory for strategic decisions.

P (θ ∣ D) \propto P (D ∣ θ) P (θ)

Data Science & AI

Bayesian inference, causal analysis, forecasting, experimental design — the rigor that separates insight from noise.

x ˙ = A x + B u

Systems Engineering

Complex systems design, control theory, signal processing, and multi-domain integration.

Proof, Not Promises

Watch an optimizer find minima it has never seen.

Gradient descent over Himmelblau's function — four minima, one landscape. Adjust the learning rate and watch stability trade against speed.

LIVE — GRADIENT DESCENT, COMPUTED IN-BROWSER

THE UPDATE RULE

θ_{t + 1} = θ_{t} - η \nabla f (θ_{t})

f (x, y) = (x^{2} + y - 11)^{2} + (x + y^{2} - 7)^{2}

LEARNING RATE ηη = 0.008

CAUTIOUSUNSTABLE

f(θ) CURRENT0.000

STEPS0

Working With Us

Four ways in — each one smaller than the last.

You should never have to commit to a large engagement to find out whether we can help.

STEP 1 · FREE

Consultation

30 minutes with a mathematician — not a salesperson. An honest read on whether the problem is ours to solve.

STEP 2 · FIXED PRICE

Feasibility Diagnostic

A two-week assessment ending in a written attack plan: the mathematics, the approach, the risks, and what a full engagement would take.

STEP 3 · FIXED SCOPE

Project Engagement

Defined deliverables, milestone-based, fully documented — you know the price before we begin.

STEP 4 · ONGOING

Retainer & Advisory

Continuous access for organizations with recurring quantitative needs; strategic advisory for executive teams.

Call (405) 806-0399·Info@ArcAngles.Art

Bring us the problem
everyone else declined.

A 30-minute conversation with a mathematician about your challenge — and an honest answer about whether we can help.

Email Info@ArcAngles.Art (405) 806-0399

Arc Angles Art, LLC · Oklahoma

The problemsothers can't solve.