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amichae2

Math MCP Server

by amichae2

symbolic_sum

Compute finite or infinite summations symbolically to obtain exact closed-form results.

Instructions

Compute symbolic finite or infinite summations.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
indexNon
startNo0
endNooo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

No annotations provided; description is minimal. It does not disclose behavior like handling of symbolic expressions, convergence checks, or output format. The term 'symbolic' is vague without further detail.

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?

Single sentence is concise but overly brief. Lacks structure such as front-loading key behavioral traits or parameter roles beyond the core purpose.

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?

Output schema exists, which partially covers return values, but the description omits parameter semantics and usage context, leaving the agent underinformed for selecting or invoking the tool correctly.

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 has 0% description coverage, and the description adds no parameter-level meaning. Parameters like expression, index, start, end are not explained beyond their names and defaults.

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 clearly states the action ('Compute') and the resource ('symbolic finite or infinite summations'), distinguishing it from related tools like symbolic_integrate and symbolic_product.

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 series or symbolic_integrate. Context of finite vs infinite or summand complexity is missing.

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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