‘Time.timeScale‘ is a property in Unity that affects the scale at which time passes in the game. This property can be used to create effects such as slow […]
Difference between Gradient and Derivative
The concepts of ‘gradient’ and ‘derivate’ are fundamental in mathematics, particularly in calculus. Both relate to how functions change, but they apply in different contexts and have distinct […]
Fixed update with Physics.Simulate in Unity
When we set ‘Physics.simulationMode’ to ‘Script’, we can manually control the fixed update using ‘Physics.Simulate’. Here, we observe the differences when ‘Physics.simulationMode’ is placed at the top or […]
OpenMP and MPI
OpenMP(Open Multi-Processing) is an application programming interface (library) that supports multi-platform shared-memory parallel programming in C, C++ and Fortran on all architectures, including Unix and Windows platform. It […]
PRML Chapter 1
1.1 Example: Polynomial Curve Fitting Now suppose that we are given a training set comprising $N$ observations of $x$, written $\textbf{x} = (x_1, …, x_N)^{T}$ ,tother with corresponding […]
Mathematical notation
Vectors are denoted by lower case bold Roman letters such as $\textbf{x}$, and all vectos are assumed to be column vectors. A superscript $T$ denotes the transpose of […]