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amichae2

Math MCP Server

by amichae2

inverse_laplace

Compute the inverse Laplace transform to convert a function from the s-domain to the time-domain.

Instructions

Compute the inverse Laplace transform.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
s_varNos
t_varNot

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior1/5

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

No annotations are provided, and the description fails to disclose any behavioral traits such as return format, limitations (e.g., supported expression types), or computational method. The agent has no information beyond the basic operation.

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 lacks structure. It does not front-load critical information, and every word is minimal, but for a complex mathematical function, more detail is needed.

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

Completeness1/5

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

Given the complexity of inverse Laplace transforms, the description is severely incomplete. It does not indicate what expressions are supported, whether an output schema exists, or any details about the result. The tool's sophistication demands more context.

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%, and the description does not elaborate on the parameters. While parameter names are somewhat self-explanatory, the absence of any explanation fails to guide the agent on correct usage.

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 tool computes the inverse Laplace transform, which is specific and distinct from the sibling tool 'laplace_transform'. However, it does not explicitly differentiate itself or mention that it is the inverse operation.

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 on when to use this tool versus alternatives, such as 'laplace_transform'. No prerequisites or typical use cases are provided.

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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