z_transform_signal

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

With no annotations, the description carries the burden of explaining behavior. It discloses the core computation and return value, but it does not mention accepted expression syntax, domain assumptions (e.g., x[n]=0 for n<0 for one-sided), ROC, or error behavior.

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

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

Two short sentences with the operation front-loaded and no filler. 'Returns X(z)' adds a clear output statement without wasting space.

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

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

For a one-parameter transform tool with an output schema, the definition is mostly sufficient, but it lacks parameter-format guidance and does not explicitly route between similar transforms. The discrete-signal phrase provides some context, but the expression input remains underspecified.

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

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

The only parameter 'expression' has 0% schema description coverage, and the tool description does not explain how to encode x[n] in the string (e.g., function of n, variable names, supported syntax). It only hints that expression represents the discrete signal.

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

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

The description names a specific mathematical operation ('Computes the one-sided Z-transform') and the target signal type ('a discrete signal x[n]'), clearly distinguishing it from Laplace/Fourier/DTFT siblings. It also states the output X(z), so an agent knows what the tool produces.

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

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

It gives clear context for use by specifying 'discrete signal x[n]' and 'one-sided,' which tells an agent when a Z-transform is appropriate. It does not explicitly name alternatives or state when not to use it, so it stops short of full routing guidance.

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