Australian women physicists have made significant contributions to the field of physics across various sub-disciplines, including astrophysics, condensed matter physics, and particle physics, among others. Some notable Australian women physicists include: 1. **Lisa Kewley** - An astrophysicist known for her work on the evolution of galaxies and the interstellar medium. 2. **Elizabeth Gillies** - A physicist specializing in quantum mechanics and quantum computing.

Massimiliano Di Ventra is a theoretical physicist known for his work in the fields of condensed matter physics, nanotechnology, and computational physics. His research often focuses on quantum transport, electron transport in nanostructures, and the development of theoretical frameworks for understanding complex systems at the nanoscale. He is affiliated with a university or research institution, where he may also engage in teaching and mentoring students.

"Alan Head" does not appear to refer to a widely recognized concept, individual, or term as of my last update in October 2023. It’s possible that you may be referring to something more specific or niche that has emerged since then, or it could be a misspelling or miscommunication regarding a different term or name.

Andrew G. White could refer to a variety of individuals or entities, depending on the context. However, without specific information, it's difficult to pinpoint exactly who or what you're referring to. If you mean a person, it could refer to an academic, professional, or a public figure with that name. If you mean an organization or a company, it could refer to a business or a brand that includes that name.

Hope is a functional programming language that was designed in the early 1980s, primarily by the computer scientist Gordon P. A. S. Morrison and others, at the University of Cambridge. It was created as a research tool to explore concepts related to functional programming, type systems, and polymorphism.

Ben Eggleton is a notable figure in the field of physics and engineering, particularly known for his work in optical physics and nanotechnology. He has been involved in research focused on photonics and advanced materials. Additionally, he has held academic positions and contributed to various scientific publications.

Betty Louise Turtle is a unique and charming character often associated with children's literature, specifically created for educational purposes. She typically embodies traits such as kindness, curiosity, and a love for learning. Often found in stories aimed at teaching values such as friendship, perseverance, and problem-solving, Betty Louise Turtle may also serve as a symbol of slow and steady progress, promoting the idea that taking time can lead to success.

Cecil Ernest Eddy, often known as "C.E. Eddy," was an American chemist who is particularly notable for his contributions to the field of geochemistry, which involves the study of the chemical composition of the Earth and its processes. He has authored and co-authored various scientific papers and works, focusing on topics such as mineral chemistry and the formation of geological materials.

Let's start with the one dimensional case. Let the $q:\mathbb{R}\to \mathbb{R}$ and a Functional $I$ defined by a function of three variables $F:{\mathbb{R}}^3\to \mathbb{R}$:

Then, the Euler-Lagrange equation gives the maxima and minima of the that type of functional. Note that this type of functional is just one very specific type of functional amongst all possible functionals that one might come up with. However, it turns out to be enough to do most of physics, so we are happy with with it.

Given $F$, the Euler-Lagrange equations are a system of ordinary differential equations constructed from that $F$ such that the solutions to that system are the maxima/minima.

In the one dimensional case, the system has a single ordinary differential equation:

By $\frac{\partial F}{\partial q}$ and $\frac{\partial F}{\partial \dot{q}}$ we simply mean "the partial derivative of $F$ with respect to its second and third arguments". The notation is a bit confusing at first, but that's all it means.

Therefore, that expression ends up being at most a second order ordinary differential equation where $q$ is the unknown, since:

Now let's think about the multi-dimensional case. Instead of having $q:\mathbb{R}\to \mathbb{R}$, we now have $q:\mathbb{R}\to {\mathbb{R}}^n$. Think about the Lagrangian mechanics motivation of a double pendulum where for a given time we have two angles.

Let's do the 2-dimensional case then. In that case, $F$ is going to be a function of 5 variables $F:{\mathbb{R}}^5\to \mathbb{R}$ rather than 3 as in the one dimensional case, and the functional looks like:

This time, the Euler-Lagrange equations are going to be a system of two ordinary differential equations on two unknown functions $q_1$ and $q_2$ of order up to 2 in both variables:At this point, notation is getting a bit clunky, so people will often condense the $q_i$ vectoror just omit the arguments of $F$ entirely:

This is a really good project. So fun to play around with. Low level IO part only like drawing to screen and handling keyboard inputs.

Ciro Santilli has:

Chennupati Jagadish is a prominent Indian physicist known for his significant contributions to the field of semiconductor physics and nanotechnology. He has served as a professor at the Australian National University (ANU) and is recognized for his research on the optical and electrical properties of semiconductors, particularly in relation to quantum dots and photonic devices. Jagadish has been involved in various scientific and academic initiatives and has contributed to the development of advanced materials and technologies.

This is a good project. Limited scope to 2D card-like games, but very good within that scope.

Ciro Santilli used it for the 2D version of his Ciro's 2D reinforcement learning games.

As of my last update in October 2023, there isn't widely recognized information about a person named Christopher Chantler in mainstream media or notable databases. It's possible that he could be a private individual, a professional in a specific field, or someone who has gained prominence after my last update.

Colin J. Gillespie is a statistician known for his work in various areas of statistics, including Bayesian methods and statistical modeling. He is particularly recognized for his contributions to statistical methodology and applications in fields like genetics and ecology. In addition to his research, he has been involved in teaching and mentoring in the field of statistics.