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I Built a Finite-Element Solver With Nothing to Hide
A transparent, dependency-free capacitor simulator — and an honest account of exactly where a simple mesh lets it down. Every physics course teaches the parallel-plate capacitor formula in the first week: Clean. Memorable. Wrong the moment your capacitor isn't two infinite plates in a... -
A Measured Formulation of the Shadow View of Collatz
A different way to look at one of mathematics’ most stubborn problem A useful way to think about the Collatz map is to separate the orbit into two layers: the parity pattern of the terms and the arithmetic values that carry that pattern. The Accelerated Collatz Formulation This perspective... -
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A Triplet-Based Parameterization for the Local Asymptotic Characterization of Polynomial Roots
Abstract This paper introduces a compact three-parameter framework for characterizing the local geometry of polynomial roots. DOI (Zenodo) For each root, the framework records its position, its algebraic multiplicity, and a newly defined quantity called the characteristic deflection distance... -
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Python Experimental Verification of the NKTg Law with NASA Neptune Data 2023–2024 [code Python]
The current formulation appears dimensionally inconsistent. Specifically, x⋅p has units of kg·m²/s, while (dm/dt)⋅p has units of kg²·m/s². Since these terms do not share the same physical dimensions, they cannot be meaningfully added or combined under a square root. Dimensional homogeneity is... -
JavaScript Help with Syntax Error for code from tutorial
Simply replace the curly quotes (“...”) with straight double quotes (") throughout your switch statement:- ratwolf
- Post #2
- Forum: JavaScript
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Googled HELP with SyntaxError
Legendary. The combination of absolute vagueness and complete confidence—truly a heroic post in the annals of programming forums- ratwolf
- Post #2
- Forum: "Hello World";
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Python Help with 2d Array Error
import random # dummy data class Thing: def __init__(self, id_val): self.coolest_stuff = 0 # Set to 0 so the if-statement passes # Random values to simulate data self.a_1 = random.randint(1, 100) self.a_2 = random.randint(1, 100) self.b_1 =... -
Python QuTiP Quantum Toolbox in Python
QuTiP is open-source software for simulating the dynamics of open quantum systems. The QuTiP library depends on the excellent Numpy, Scipy, and Cython numerical packages. In addition, graphical output is provided by Matplotlib. QuTiP aims to provide user-friendly and efficient numerical... -
Python Collection of Python Projects (The Beauty of Mathematics)
GitHub Repository The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in this world for ugly mathematics." – G. H. Hardy (1877–1947) -
The Universe Never Forgets — It Just Grows
The Universe Never Forgets — It Just Grows A Mathematical Thought Experiment at the Edge of Physics Check out the full proposal and Python simulation at The Golomb Universe ⌛ The “Quantum Memory Paradox” At the smallest scales, quantum mechanics demands that information is preserved — a...- ratwolf
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- Replies: 0
- Forum: General Discussion
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The Fractal Heart of Weierstrass
I experimented a bit with the famous, or rather infamous, Weierstrass function. The result was something like a Weierstrass toolkit, which allows you to represent the function, extended two-dimensionally, as a fractal (value probability density view) and more. I don't know if or who is...- ratwolf
- Thread
- Replies: 0
- Forum: Share with the community
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How Stereographic Projection Reveals an Emergent Dimension
GitHub The stereographic projection offers a fascinating analogy for understanding emergent dimensions — the idea that higher-dimensional information can be encoded in a lower-dimensional surface. While not a direct physical model, it helps visualize how the third dimension of spacetime might...- ratwolf
- Thread
- Replies: 0
- Forum: Share with the community
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AI Tools
AI is like a power drill: useful but dangerous without skill. Your brain is the craftsman. The best developers/designers will be those who leverage AI while retaining deep expertise. :laugh:- ratwolf
- Post #2
- Forum: General Discussion
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What's everyone up to :)
https://github.com/ratwolfzero/Quaternion_3D_Rotation- ratwolf
- Post #13
- Forum: General Discussion
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Fast GPU whole shapes sort, best way?
Your approach is theoretically sound and could outperform A-buffers for many cases. The key is minimizing cutting overhead and maximizing parallelism. If you can efficiently reject non-overlapping shapes early, this should fly...- ratwolf
- Post #3
- Forum: General Discussion
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Python Help with pythom code from telegram
I see that you probably have some unused imports, as well as redundant/duplicate imports. I would recommend using Timezone instead of Pytz. Just a proposal: # Standard library imports import os import sqlite3 from datetime import datetime, timezone # timezone is better than pytz for Python... -
3D Rotation using Quaternions
slight code improvement: pre-calculate cos_angles = np.cos(self.angles / 2) and sin_angles = np.sin(self.angles / 2) in class CombinedQuaternionRotator More efficient and cleaner. import numpy as np import matplotlib.pyplot as plt from matplotlib.animation import FuncAnimation import...- ratwolf
- Post #5
- Forum: Share with the community