Every premium and members-only resource for $9.99/month, as a no-commitment subscription. See the plans

PalateKit

Sign in
Menu

Request a resource

Describe the resource you are missing in one sentence. We will email you when it is published.

0 / 280

A page, a video or an image online.

Unlock PalateKit

Unlock everything

Plan

Paying means accepting our terms of sale.

Secure payment by Stripe. Receipts and invoices sent by email.

Welcome back

Sign in to install, download or save this resource. A free account is enough for free resources.

Compute residues in complex analysis v1.0.0

Use this resource to compute the residue of a function at a pole

New

  • 553 downloads
  • 221 likes
  • 134 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install complex-residue-computation

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent identifies the pole order, picks the method (limit, differentiation or Laurent series) and computes the residue with SymPy, then checks pole locations with Z3. You get the residue and the method used.

Mostly picked by

Updated November 2, 2026

Card for the “Compute residues in complex analysis” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

Similar resources

View all

What you get

  • SKILL.md: decision tree (simple pole, order n, L'Hôpital shortcut)
  • SKILL.md: SymPy commands (residue, limit, laurent) and Z3 (pole inside)
  • SKILL.v6.md: second file in the skill (version 6)

Good fit for

  • You evaluate an integral with the residue method
  • You need to identify the order of a pole

Not for

    Tags

    • residues
    • complex analysis
    • poles
    • laurent

    About

    You say

    “Compute the residue of 1/(z²+1) at z = i.”

    Card for the “Compute residues in complex analysis” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to compute the residue of a function at a pole
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.9 KB
    • SKILL.v6.md2.3 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/complex-analysis/residues
    Licence
    MIT

    Notice

    « residues » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

    User reviews

    –

    No ratings yet

    Loading reviews…

    Delete your review?

    Your rating and comment will be removed from the page.