SympJS v0.0.5: The Christmas Math Engine Update 🥳🎅🎄

🎄

SympJS v0.0.5: The "I Accidentally Built a Math Engine" Christmas Update

December 25, 2025 – Turns out that "side project" from a month ago has grown teeth, learned calculus, discovered trigonometry, and is now Fourier-transforming its way through your browser. Who knew?

Current State: SympJS is no longer politely asking if you want symbolic math – it's showing up at your door with Taylor series and insisting you try the pi.

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📦 What's New Since You Last Checked

Or: "The 'Oh Wait, This Actually Works' Edition"

🎯 From "It Differentiates!" to "It Does Actual Math!"

Remember when it could just do d/dx[x²] = 2x? Cute. Now it does:

❄ // Taylor series? Sure. const taylorExp = TaylorSeries.exp(x, 0, 6); // e^x ≈ 1 + x + x²/2! + ... // Fourier analysis? Why not. const squareWave = FourierUtils.squareWave(1, 2*Math.PI); // Complex numbers? Naturally. const z = new Complex(3, 4); // 3 + 4i

🎁 Translation: The library went from "fancy calculator" to "mathematical Swiss Army knife that also folds laundry."

🔢 The Odd-Numbered Journey

Versioning has become... philosophical:

❄ v0.1 → (oops) → v0.3 → (forgot) → v0.5

Each odd-numbered release is like a mathematical proof: sometimes you skip steps, but the result still holds.

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🧮 Features That Shouldn't Work But Somehow Do

1. Trigonometric Enlightenment

❄ // Not just sin(x) anymore... const trigParty = sin(x).add(cos(x)).mul(tan(x)).div(csc(x)); // Your high school trig teacher is crying (tears of joy, presumably) // Even better: it knows special angles const sin30 = simplifyTrig(sin(pi().div(6))); // Actually returns 1/2

🎁 SympJS now understands angles better than most people understand their own life choices.

2. Fourier Series That Don't Require a PhD

❄ // Want a square wave? Here's a square wave. const wave = FourierUtils.squareWave(); wave.evaluate(Math.PI/4); // → A number that's probably correct // Complex Fourier series? Because why be boring? const complexWave = FourierSeries.fromComplexCoefficients(...);

🎁 Key Insight: Most math libraries make you feel dumb. This one makes you feel like you accidentally stumbled into genius.

3. Matrices That Actually Make Sense

❄ // 2x3 matrix? Sure. 3x2? Why not. const A = new Matrix([[1, 2, 3], [4, 5, 6]]); const B = new Matrix([[1, 2], [3, 4], [5, 6]]); // Multiply them? Obviously. const C = A.multiply(B); // (2x3) × (3x2) = (2x2) because math

🎁 The Magic: It handles non-square matrices without throwing a temper tantrum. Adulting!

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🎨 The Renderer Got a Glow-Up

Remember when it just displayed x^2 + 3*y? Now it looks like proper mathematical notation:

∫₀^π sin(x) dx = 2

x² + 3y ≠ x² + 3 × y

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√2

🎁 Actual improvement: The CSS file for rendering is longer than some of my actual math homework was.

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🔄 The Development Philosophy: "Chaotic Good"

How Development Actually Happens:

1. 🎯 Step 1: Have a mathematical thought in the shower
2. 🎯 Step 2: Think "Wait, could SympJS do that?"
3. 🎯 Step 3: Spend 3 hours making it do that
4. 🎯 Step 4: Realize you've invented something useful
5. 🎯 Step 5: Release it as an odd-numbered version

Release Schedule:

• ✨ 📅 Every 2-3 weeks (whenever the mathematical muse strikes)
• ✨ 🔢 Odd numbers only until v1.0.0 (it's a vibe)
• ✨ 🎄 Christmas releases encouraged (mathematical joy is a gift)

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🧪 Real Things People (Probably) Could Use This For

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Educational Purposes:

"Hey teacher, can you show us the Fourier transform of a square wave?"
*types furiously*
"Like this?"

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Prototyping Mathematical Ideas:

"I wonder what the Taylor series of e^x looks like..."
*30 seconds later*
"Oh. That."

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Impress Your Math Professor:

Include beautiful rendered equations in your paper
Watch as they squint, then nod approvingly

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📈 The "Is Anyone Actually Using This?" Dashboard

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Downloads

Some number that isn't zero

⭐

GitHub Stars

Enough to feel validated

🐛

Bugs Found

Surprisingly few

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Dependencies

Still zero (my pride and joy)

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🚀 What's Next: The v0.7 Vision

Planned Features (Subject to Mathematical Whimsy):

• ✨ ∫ Better integration (currently it's like "I tried")
• ✨ = Equation solving (find x where x actually wants to be found)
• ✨ 🎨 More beautiful rendering (because math should be pretty)
• ✨ 🤔 Whatever mathematical concept I find interesting next Tuesday

The v1.0.0 Dream:

🎁 A library so complete that using Python for symbolic math feels like using a typewriter in a smartphone world.

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🎁 Try It Yourself (Christmas Edition)

❄ npm install @auriel/sympjs

Then create some mathematical magic:

❄ import { symbols, sin, TaylorSeries, FourierUtils } from '@auriel/sympjs'; const [x] = symbols('x'); // Do something beautiful const somethingBeautiful = sin(x) .add(TaylorSeries.exp(x, 0, 4)) .add(FourierUtils.squareWave().evaluate(x)); // The computer will either understand or politely crash

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🎄 Final Christmas Thought

Building SympJS has taught me something important: mathematics in code doesn't have to be painful. It can be:

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Type-safe

No more runtime "what is this variable?" surprises

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Beautiful

Equations that look like they belong in textbooks

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Fun

Method chaining that feels like mathematical Lego

Is it perfect? No.
Is it complete? Also no.
But is it a joy to build and use? Absolutely.

So this Christmas, I give you: a TypeScript library that understands calculus better than I understand my own sleep schedule.

May your eigenvalues be real,
your integrals converge,
and your version numbers remain oddly satisfying.

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🔗 Links (For the Mathematically Curious)

🌐 GitHub: github.com/uriel-flame-of-god/SympJS

📦 NPM: @auriel/sympjs

🧠 My Sanity: Currently stable, with occasional spikes during integration attempts

"Per aspera ad astra – through odd-numbered versions to the stars." 🚀