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amichae2

Math MCP Server

by amichae2

laplace_transform

Compute the Laplace transform of a time-domain expression to convert functions into the s-domain for solving differential equations and analyzing linear systems.

Instructions

Compute the Laplace transform of a time-domain expression.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
t_varNot
s_varNos
nocondsNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

With no annotations, the description carries full burden for behavioral disclosure. It only states the core operation, omitting any conditions, assumptions, or side effects (e.g., convergence requirements, handling of discontinuities).

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

Conciseness3/5

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

The description is a single sentence, which is concise but overly terse. It lacks sufficient detail to be effective, so it does not earn a high score for efficiency.

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?

Given the tool's complexity (Laplace transform with four parameters and many sibling tools), the description is incomplete. It neither explains return values nor provides enough context for correct invocation.

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

Parameters1/5

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

Schema description coverage is 0%, yet the description provides no additional meaning for the four parameters (expression, t_var, s_var, noconds). It does not explain defaults or semantics beyond what is in the schema.

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

Purpose4/5

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

The description clearly states the action ('Compute') and the resource ('Laplace transform of a time-domain expression'), providing a specific verb and resource. However, it does not differentiate from sibling tools like 'inverse_laplace' or other mathematical transforms, which could be ambiguous.

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

Usage Guidelines2/5

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

No guidance is provided on when to use this tool versus alternatives, such as when the expression is in the frequency domain or when inverse transform is needed. There is no mention of prerequisites or exclusions.

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

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