From 2020 onwards, some articles will appear directly under Lab Presentations and Educational Articles.

• [2020-11-17] What is the Physical Meaning of the Levi-Civita Connection?
• [2018-12-22] A Note on Duality in Convex Optimisation
• [2018-12-10] Simple Explanation for Interpretation of Lagrange Multiplier as Shadow Cost
• [2018-10-13] Tennis: Attacking versus Defending
• [2018-08-03] Does the Voltage Across an Inductor Immediately Reverse if the Inductor is Suddenly Disconnected?
• [2017-08-24] Intuition behind Caratheodory's Criterion: Think "Sharp Knife" and "Shrink Wrap"!
• [2017-08-22] An Alternative (and Very Simple) Derivation of the Boltzmann Distribution
• [2017-08-21] Some Comments on the Situation of a Random Variable being Measurable with respect to the Sigma-Algebra Generated by Another Random Variable
• [2016-08-13] Poles, ROCs and Z-Transforms
• [2016-08-11] A Snippet of Galois Theory
• [2015-10-04] The Cameron-Martin Space, and Some Differences Between Finite and Infinite Dimensional Spaces
• [2015-02-21] An Introduction to Normal and Non-normal Subgroups
• [2014-08-06] Reproducing Kernel Hilbert Spaces
• [2014-07-27] Tensor Products Introduced as Most General Multiplication (and as Lazy Evaluation)
• [2014-07-24] Simple Derivation of Neyman-Pearson Lemma for Hypothesis Testing
• [2014-07-10] Are Humans Smart and Computers Dumb? Can Computers Become Better at Helping Humans Solve Challenging Problems?
• [2014-07-10] Understanding (real- and complex-valued) Inner Products
• [2013-12-11] Why does Compactness ensure a Bijective Map is a Homeomorphism?
• [2013-10-19] Countable Intersections and Unions of Sets: A Discussion on an Example in Williams "Probability with Martingales"
• [2013-10-17] How the Jacobian can Detect Cusps and Self-intersections
• [2013-10-17] Long versus Short Proofs
• [2013-06-26] Measure-theoretic Formulation of the Likelihood Function
• [2013-06-25] Advances in Mathematics
• [2013-06-08] "Most Likely" is an All or Nothing Proposition
• [2013-02-05] Background Information for Continuous-time Filtering and Estimation on Manifolds
• [2012-12-12] Optimisation Geometry
• [2012-09-03] Introduction to the Grassmann Algebra and Exterior Products
• [2012-08-02] Differentiating Matrix Expressions The Easy Way, and an Elementary yet Genuine use for the Tensor Product
• [2012-07-24] Optimisation on Manifolds --- Lifting Iterative Algorithms from Euclidean Space to Manifolds
• [2012-07-09] Collaborative Paper Writing using Git and Drop Box / Google Drive
• [2012-06-28] Sets of Measure Zero in Probability
• [2011-10-25] When is Independence not Independence?
• [2011-10-21] Tensors and Matrices
• [2011-10-12] The Tensor Product
• [2011-10-11] On Learning and Teaching Mathematics: Nothing is Elementary, and the Importance of Intuition
• [2010-11-21] Introduction to the Legendre Transform
• [2010-08-08] Compiling avr-gcc toolchain from scratch
• [2010-07-29] Information Geometry - Coordinate Independence (Lecture 6)
• [2010-07-26] Information Geometry - Using the Fisher Information Matrix to Define an Inner Product (Lecture 5)
• [2010-07-25] Information Geometry - Affine Geometry (Lecture 3)
• [2010-07-25] Information Geometry - Fisher Information Matrix (Lecture 4)
• [2010-07-23] Coordinate-independent Approach to Differentiation
• [2010-06-24] Information Geometry - An Affine Geometry of Exponential Families (Lecture 2)
• [2010-06-22] Measure-theoretic Probability: Still not convinced?
• [2010-06-16] Information Geometry - Summary of Lecture 1
• [2010-06-08] Are your research aims the right aims?
• [2010-06-08] The Role of Estimates, Estimation Theory and Statistical Inference - Is it what we think it is?
• [2010-06-07] One is a boy born on a Tuesday...
• [2010-06-05] Comments on James-Stein Estimation Theory
• [2010-06-04] Measure-theoretic Probability: Why it should be learnt and how to get started
• [2009-08-31] The Two Cultures