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math-reasoning-mcp

by TeleEng

inverse_laplace_transform_signal

Given a Laplace-domain expression F(s), compute its inverse Laplace transform to obtain the corresponding time-domain signal f(t).

Instructions

Computes the Inverse Laplace transform of F(s). Returns f(t).

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. First observedv0.1.0

TDQS

B3.4/5.0
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full disclosure burden. It states the basic input/output relationship but does not disclose symbolic vs. numeric behavior, assumed variable conventions, limitations, or failure conditions. This is minimal disclosure for a transform tool.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Two short sentences with zero filler; the core operation and result are stated immediately. This is appropriately sized for the tool's single-parameter interface.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Although an output schema exists and reduces the need to describe return values, the description lacks input-syntax guidance, convention details, and any relation to signal-processing usage. For a tool with no annotations and a single minimally documented parameter, this is not complete enough for reliable invocation.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

With 0% schema coverage, the description must compensate for the undocumented 'expression' parameter. It does add meaning by indicating the expression is F(s) and the output is f(t), but it stops short of specifying the expected string syntax or variable-naming conventions. Thus it provides partial parameter semantics.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description names a specific operation ('Computes the Inverse Laplace transform') and the output ('Returns f(t)'), clearly distinguishing it from sibling tools like laplace_transform_signal and inverse_fourier_transform_signal. The verb and resource are explicit and unambiguous.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The operation implies when to use the tool: when an inverse Laplace transform of an expression in s is needed. However, the description gives no explicit guidance about when not to use it or which sibling tools might be more appropriate for alternative transforms or preprocessing steps.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.