Let me take a bit of time here to write out a complete canonical answer to ModelingToolkit and how it relates to Modia and Modelica. This question comes up a lot: why does ModelingToolkit exist ins...

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Scientific machine learning is a burgeoning discipline which blends scientific computing and machine learning. Traditionally, scientific computing focuses on large-scale mechanistic models, usually...

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This is just an exploration of some new neural models I decided to jot down for safe keeping. DiffEqFlux.jl gives you the differentiable programming tools to allow you to use any DifferentialEquati...

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Many times a scientist is choosing a programming language or a software for a specific purpose. For the field of scientific computing, the methods for solving differential equations are one of the ...

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This paper presents the prove of Taylor expansion in one variable by the
concept of binomial theorem, Taylor series concepts in curves and an expository
piece on the asymptote of an algebraic cur...

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Introduction
The American novelist Ben Ames Williams frequently
contributed short stories, serials, and articles to the periodical The
Saturday Evening Post. While themes in mathematics were s...

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Differential geometry is a
powerful tool in various branches of science, especially in theoretical
physics. Ordinary differential geometry requires differentiable manifolds. This
research paper ...

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Published to The Winnower 2015/10/20.
A properly formatted PDF of this paper can be downloaded here (not sized to A4 sheets).
Abstract
Two new approaches to spatial autocorrelation (SAC) were exami...

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This blog post is an abridged and translated version of my blog post in Dutch. A version of this blog post, further abridged to fit within the 500 word limit, has been submitted to PNAS as comment...

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Today on Twitter there was some chatting about one-sided p-values. Daniel Lakens thinks that by 2018 we'll see a renaissance of one-sided p-values due to the advent of preregistration. There was a...

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It’s a commonplace to compare Gödel’s theorem to the liar paradox: The sentence
This sentence is not true.
is neither true nor false. Switch out “provable” for “true” and you get
This sentence is n...

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I like p-curve analyses. They are a great tool to evaluate whether sets of studies have evidential value or not. In a recent paper, Simonsohn, Nelson, & Simmons (2014) show how p-curve analyses...

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