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IBM

MCP Math Server

by IBM

power_series

Evaluate power series expansions using provided coefficients and variable values to compute mathematical series approximations.

Instructions

Evaluate power series with given coefficients (Domain: numerical, Category: series)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
coefficientsYes
xYes
x0No
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 burden. It mentions 'evaluate' but doesn't disclose behavioral traits such as what the tool returns (e.g., a numeric sum, convergence status, error handling), performance characteristics, or any limitations (e.g., convergence radius, numerical stability). The description is too minimal to inform safe or effective use.

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

Conciseness4/5

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

The description is very concise with a single sentence and no wasted words. However, it's overly terse—under-specification reduces clarity rather than enhancing efficiency. It could benefit from slightly more detail without becoming verbose.

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 complexity of a power series evaluation tool with 3 parameters, 0% schema coverage, no annotations, and no output schema, the description is inadequate. It doesn't explain the mathematical operation, expected inputs, output format, or any edge cases. For a tool that likely performs numerical computation, this leaves too many gaps for reliable agent use.

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

Parameters2/5

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

Schema description coverage is 0%, so the schema provides no parameter descriptions. The description only mentions 'coefficients' generically without explaining their role (e.g., coefficients of the power series terms) or the meaning of 'x' and 'x0' (e.g., evaluation point and center of expansion). It fails to compensate for the lack of schema documentation, leaving parameters largely unexplained.

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

Purpose3/5

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

The description states the tool 'Evaluate power series with given coefficients' which provides a basic verb+resource combination. However, it's vague about what 'evaluate' means (e.g., compute sum, convergence, etc.) and doesn't distinguish it from sibling tools like 'power_series_sum' or 'taylor_series', which appear related. The domain/category tags add minimal context.

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 explicit guidance on when to use this tool versus alternatives like 'power_series_sum' or 'taylor_series' is provided. The description only mentions the domain and category, which doesn't help an agent decide between similar tools. There's no mention of prerequisites, constraints, or typical use cases.

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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