Overview Triple integrals, surface integrals and contour integrals, and bridges between them.
Curl (in space) The curl measures the value of the vector field to be conservative. For a velocity field, curl measures the rotation component of the motion.
Diffusion/heat (in space) The Diffusion equation governs motion of e.g. smoke in unmovable air, or dye in a solution.
Divergence (in space) Divergence measures how much the flow is expanding. It singles out the stretching component of motion.
Work (in space) Whenever a force is applied to an object, causing the object to move, work is done by the force.
Triple Integrals Using triple integrals we can find volume between two surfaces.
Flux; Green’s (in plane) Flux is the amount of something (water, wind, electric field, magnetic field) passing through a surface.
Curl; Green’s (in plane) For a velocity field, curl measures the rotation component of the motion. Curl also measures how far the vector field is from being conservative.
Matrices Matrices can be used to express linear relations between variables. For example when we change coordinate systems.
Vectors Vectors do not have a start point, but do have a magnitude (length) and direction. They are described in terms of the unit vectors, or using angle brackets notation.
Gradient Field (in plane) When a vector field is a gradient of function f(x,y), it is called a gradient field.
Double Integrals Find the volume between a function f(x,y) and a certain region in the xy-plane.
Foundations Function graphs; parametric curves.
Overview Vector calculus is about differentiation and integration of vector fields. This article gives an overview of the differentiation. operations.
Google Assistant switches Sonoff S20 Switch your light on/off using your voice and the help of Google Assistant. Sure, you can run to the store and purchase a preconfigured light switch, but what's the fun in that and more importantly these switches with their close-source software require access to your home network.
Mei 2018 We gaan naar een U2 concert. Barrie presenteert bij Google I/O. Sander speelt trompet met de band.
April 2018 Sander bakt en verkoopt stroopwafels. Johan studeert.
Maart 2018 Johan doet yoga en een presentatie op school. Hij presenteert ook bij Euler Circle.
Our vegetarian recipes Large collection of our proven vegetarian recipes. Some original, some adjusted to fit our personal taste and ingredients available.
Scalable IoT Integration (ESP32+Google IoT) We're only using the IoT device and Google Cloud Platform. The only programming will be in JavaScript (nodejs). No opening ports on the firewall, no IFT3. Plain and simple, 'though never as simple as getting up and flipping a light switch, or opening the outside door to see how the weather is.
DD-WRT Reverse Proxy and HTTPS (Asus RT-AC68, Pound, LetsEncrypt) Describes how to use DD-WRT as a Reverse Proxy with HTTPS. It relies on pound for the reverse proxy and LetsEncrypt for the TLS certificate. This configuration was tested on an Asus RT-AC68, but should also work on other routes with DD-WRT firmware.
Complex Functions All our arithmetic functions gracefully extend from the one-dimensional number line into the 2-dimensional $$\mathbb{C}$$-plane. We will introduce the functions that operate on complex arguments.
Complex Numbers Instead of projecting the future merits of complex numbers, we will introduce them in an intuitive way. We draw a parallel to negative numbers that have been universally accepted around the same time.
RL High-pass Filter Trigonometry method, example 2 Assume the non-homogeneous lineair differential equation of a first order High-pass LC-filter, where $$u(t)=\hat{u}\cos(\omega t)$$ is the forcing function and the current $$i(t)$$ through the inductor is the response. The differential equation for this system is $$L\,{i_p}^\prime(t)+R\,i_p(t)=\hat{u}\cos(\omega t)\label{eq:bTrigRL_DV}$$ The solution is a superposition of the natural response and a …