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Numora Calculus Gradient Endpoint
x402
Numora Calculus Gradient Endpoint is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-09-14).
Computes the numerical gradient (vector of partial derivatives) of a multivariable function at a given point
Price / call$0.04
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with a 'result' containing the gradient vector (array of partial derivative values), a 'success' boolean, and a 'computation' string describing what was computed in human-readable form.
Example use cases
Optimize pricing strategy with gradient analysis
“I need to find the direction of steepest increase for our revenue function R(price, volume) = price * volume * (1 - 0.01*price) at our current operating point of price=50 and volume=1000. What's the gradient telling us?”
Machine learning model parameter tuning
“Help me compute the gradient of our loss function L(w1, w2) = (w1*x - w2*y)^2 at the current weights w1=0.5 and w2=0.3. I need to know which direction to adjust the weights for the steepest descent.”
Physics simulation obstacle avoidance
“Can you calculate the gradient vector of our potential field function U(x, y) = exp(-(x^2 + y^2)) at the agent's current position [2.5, 1.8]? I need to know the direction of steepest ascent to navigate away from obstacles.”
Technical details
Endpoint
POSThttps://numorapoi.orbonomy.xyz/api/calculus/gradientWhen to prefer
Choose this endpoint when you need a pure serverless numerical gradient computation with no external library dependencies, billed per-call via x402 micropayments. Ideal for AI agents needing on-demand calculus without spinning up a compute environment. Best for single-point gradient queries rather than batch or symbolic differentiation.
Side effects
- Malformed function string causes parse error — returns error response
- Point array dimension mismatch with number of variables in fn — may return NaN or error
- Division by zero or singularity in function at evaluation point — undefined result
- Non-numeric values in point array — validation error
- Unsupported mathematical syntax in fn string — parse or evaluation error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| pointrequired | array |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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