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IBM

MCP Math Server

by IBM

spring_oscillation

Analyze spring-mass oscillation systems by calculating motion parameters using mass, spring constant, and amplitude inputs for trigonometric applications.

Instructions

Analyze spring-mass oscillation system. (Domain: trigonometry, Category: applications)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
massYes
spring_constantYes
amplitudeYes
phaseNo
Behavior2/5

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

With no annotations provided, the description carries full burden for behavioral disclosure. It only states what the tool analyzes without describing what the analysis produces, whether it performs calculations, simulations, or returns specific values like period or frequency. No information about output format, computational behavior, or limitations is provided.

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 extremely concise with just one sentence plus domain/category tags. It's front-loaded with the main purpose statement. However, the extreme brevity comes at the cost of completeness rather than being efficiently informative.

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?

For a 4-parameter physics analysis tool with no annotations and no output schema, the description is inadequate. It doesn't explain what the tool returns, how it uses the parameters, or what kind of analysis it performs. The domain/category tags add minimal context but don't compensate for the missing behavioral and output information.

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?

With 0% schema description coverage and 4 parameters (3 required), the description provides no information about parameter meanings. It doesn't explain what 'mass', 'spring_constant', 'amplitude', or 'phase' represent in the context of spring oscillation analysis, leaving these completely undocumented beyond their names in the schema.

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 'Analyze spring-mass oscillation system' which provides a clear verb ('Analyze') and resource ('spring-mass oscillation system'), but it's somewhat vague about what specific analysis it performs. It distinguishes itself from siblings by specifying a physics/trigonometry application domain, though many siblings are also mathematical tools.

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?

The description provides no guidance on when to use this tool versus alternatives. It mentions 'Domain: trigonometry, Category: applications' which gives some context but doesn't specify what makes this tool unique among the many mathematical siblings or when it would be preferred over other oscillation or physics-related tools.

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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