Figure 21
Elliptical quadratic minimum
The origin is the unique global minimum: f(0,0)=0. Unequal positive curvature creates an elliptical bowl.
z = 0.08*x^2+0.18*y^2
x,y ∈ [-5, 5]; dimensionless.
Three custom mathematical figures
A $149 pilot for three static mathematical surface illustrations.
Figure 14
Hyperbolic paraboloid saddle
At (0,0), z=0 and the gradient vanishes. Values increase along x and decrease along y, so the origin is a saddle.
z = 0.15*(x^2-y^2)
x,y ∈ [-5, 5]; dimensionless.
Figure 24
Double-well surface
Global minima at (−2,0) and (2,0) have z=0. The stationary point at (0,0), z=1.92, is a saddle.
z = 0.12*(x^2-4)^2+0.2*y^2
x,y ∈ [-3, 3]; dimensionless.
Three-figure pilot — $149
Three static mathematical surface illustrations in one agreed visual style and size (initial proposal: 3000×2000). Each figure includes sRGB JPEG and opaque PNG, equation/settings notes, captions and alt text. One consolidated in-scope revision. The pilot price is US$149. We agree audience, equations, finite domains, labels, price, scope, rights, delivery date and cancellation/refund arrangements in writing before payment.
Suitable requests
Approved explicit single-valued z=f(x,y) equations on finite domains, with supported syntax and a meaning that can be independently checked. A feasibility check must establish that the actual tool can render each agreed example faithfully. These three polynomial samples demonstrate the initial scope.
Outside this pilot
No arbitrary datasets or scientific simulation, sensitive/confidential research handling, general data cleanup, medical/financial/engineering certification, peer review or publication acceptance, editable SVG/vector output, animation, transparent backgrounds, 3D-printable files or unlimited revisions. Verification is limited to the explicitly agreed equations, domains, numeric values and labels; no broader scientific correctness is promised.
What to include in a nonconfidential brief
- Audience, intended use and exactly three equations with their origin/permission.
- Finite domains, units or dimensionless convention, and expected mathematical features or reference values.
- Size, background, style and labeling needs; acknowledge independently normalized display axes.
- Requested deadline, subject to agreement; reuse/scope/rights questions.
Revision and timing
One consolidated correction list within the accepted equations, domains, size and style. Replacing equations, adding figures, changing the mathematical scope or requesting extra formats/rounds needs a separate agreement. Numeric and label errors must be resolved before acceptance. No paid order is accepted until scope and delivery timing are expressly agreed. No automatic 24-hour turnaround.
Payment after scope agreement
Once we agree on the equations, domains, intended use, deliverables, rights, price, revision scope and delivery date, Avery sends a secure Stripe payment request. Work begins after the agreed payment condition is satisfied. The figures are then produced and checked within the agreed scope. Requesting a brief does not create a charge or order.
Copy the brief if your email app does not open
Email avery@sumwisecalc.com with the subject Custom mathematical figures brief. Copy and complete these fields:
Equation(s): Finite x/y domain(s): Audience and intended use: Output size and one visual style: Requested date (subject to agreement): Labels and units: Expected features/reference values: Rights needed (including any exclusivity request): Permission to use supplied equations/material: Other essential scope notes: Please send nonconfidential text only. Submitting an inquiry does not create an order.
Submitting an inquiry does not create an order. Send nonconfidential text only. Tell us what rights you require; exclusive rights are not included by default. We will not reuse client equations, input data or completed client figures as public samples or stock without explicit permission.
The production workflow is a manually operated, unreleased SumWise candidate; these exports are not a public-release feature promise. No buyer software purchase is required.