Math & Numbers
Laplace Transform Calculator (Table Lookup)
Table lookup of L{f(t)} for 14 standard pairs, with parameter substitution, region of convergence, derivation note, and optional numeric F(s₀) evaluation.
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Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/laplace-transform-calculator' \
-H 'Content-Type: application/json' \
-d '{"form":"exp","a":1,"k":1,"n":2,"s0":2,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/laplace-transform-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| form | select | Yes | — |
| a | number | No | Exponential rate in e^(at) forms. |
| k | number | No | Angular frequency in sin/cos/sinh/cosh forms (must be nonzero). |
| n | number | No | Power in t^n forms (integer 1–10; the factorial n! is used). |
| s0 | number | No | Numeric evaluation point; must satisfy the region of convergence. |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-laplace-transform-calculator": {
"name": "laplace-transform-calculator",
"description": "Table lookup of L{f(t)} for 14 standard pairs, with parameter substitution, region of convergence, derivation note, and optional numeric F(s₀) evaluation.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=laplace-transform-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "laplace-transform-calculator",
"arguments": {
"form": "exp",
"a": 1,
"k": 1,
"n": 2,
"s0": 2,
"decimalPlaces": 4
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]