#appliedmathematics — Public Fediverse posts

#Physics #AppliedMathematics #ComputationalScience #CognitiveScience #InformationRetrieval #GraphTheory #Rust #Databases #AI

https://github.com/Lucerna-Labs/atom-db

Physics-informed neural networks (PINNs) are artificial intelligence models pre-programmed with fundamental physical laws to accurately predict how quickly controlled-release materials will dispense therapeutic agents.
#ArtificialIntelligence #ComputationalPharmaceutics #AppliedMathematics #MaterialsEngineering #sflorg
https://www.sflorg.com/2026/07/ai07062601.html

Frenet–Serret Formula ✍️

It explains how a curve reveals its hidden geometry by tracking the way it bends and twists through space. Imagine tracing the path of a roller coaster, a winding river, or the spiral of a DNA strand. At every point along the path, the curve is constantly changing direction, and the Frenet–Serret formulas provide a precise way to describe that change.

They do this by attaching a moving frame of three special directions to each point on the curve. The first points forward along the path, showing where the curve is heading. The second points inward, toward the direction of bending. The third stands perpendicular to both, capturing how the curve twists out of its plane. Together, they form a local coordinate system that travels with the curve itself.

As you move along the curve, these three directions rotate and evolve. The formulas measure this evolution using two key quantities: curvature and torsion. Curvature tells how sharply the path bends, while torsion tells how strongly it twists into three dimensions. If curvature vanishes, the path becomes straight; if torsion vanishes, the curve lies flat in a plane.

Mathematicians and physicists use the Frenet–Serret formulas to study motion, design smooth paths in engineering, understand particle trajectories, and analyze natural shapes. They transform a simple line into a rich geometric story, revealing exactly how space is being navigated at every step.

#FrenetSerretFormula #DifferentialGeometry #Geometry #Mathematics #Math #PureMathematics #AppliedMathematics #MathematicalPhysics #Physics #STEM #ScienceEducation #MathEducation #Curvature #Torsion #SpaceCurves #VectorCalculus #Calculus #LinearAlgebra #GeometricAnalysis

Funded PhD - hypergraph ML for chemistry
University College Dublin

See the full job description on jobRxiv: https://jobrxiv.org/job/university-college-dublin-27778-funded-phd-hypergraph-ml-for-chemistry/

#appliedmathematics #computationalchemistry #machinelearning #Network #NetworkScience #ScienceJobs #hiring #research
https://jobrxiv.org/job/university-college-dublin-27778-funded-phd-hypergraph-ml-for-chemistry/?fsp_sid=4176

“(...) My students have used their knowledge to model the oil spill in the Gulf of Mexico, analyze income inequality in New York City using the Gini coefficient, and determine appropriate drug dosages, among other projects. These projects not only deepen their understanding of mathematical concepts but also highlight how mathematics can be a powerful tool for analyzing and solving real-world problems. By exploring the intersection of social justice and mathematics, students gain a broader perspective on how their skills can contribute to meaningful change in society.” - Mónica D. Morales-Hernández

➡️ https://hermathsstory.eu/monica-d-morales-hernandez/

#Academia #AssistantTeachingProfessor #Educator #AppliedMathematics #ComputationalMathematics #Physics #SocialJustice #Classism #Sexism #Racism #Volunteering #WomenInMaths #WomenInSTEM #LatinaInSTEM #HerMathsStory

Congratulations Dr. Sharan! 🥳 So very proud of you & your journey. #phddone #Stochastic #computationalsciences #materialmodelling #solidmechanics #appliedmathematics @tuBraunschweig
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RT @S_K_Shivanand
I am pleased to inform you that my PhD dissertation is now available online at https://leopard.tu-braunschweig.de/receive/dbbs_mods_00071795.
https://twitter.com/S_K_Shivanand/status/1604781454617202688