# Quick Reference of Gauss Quadrature Forms

The following is from my notes I did a while back, whilst evaluating different numerical quadrature methods. Quite a lot of numerical quadrature in software used seems to be Gauss-Kronrod, in particular derived from QUADPACK. Any thoughts or corrections? Drop me a mail. Gaussian Quadrature Gaussian quadrature approximates integrals in the form of: $$\int^{b}_{a}f(x)\ dx$$ For some range $$a$$ to $$b$$ inclusive or exclusive depending upon the type. With a sum in the form of: $$\int^b_af(x)\ dx\approx\sum_{i=1}^nw_if(x_i)$$ Where $$w_i$$ is some weight and the node $$x_i$$ being the root of an orthogonal polynomial.

# МБС-10 (MBS-10, MBC-10) Stereomicroscope

My MBS-10 with MFU phototube and LED ring light On this I share some information about the popular Russian/Soviet MBS-10 stereomicroscope. I got mine a while back and I’m quite satisfied with it. I’m going to update this page if I have any new information worth sharing. If anyone has any additional information worth adding here, drop me a mail. Versions As far as I could find out there are at least two versions of the MBS-10 with different accessories depending upon the manufacturing date.

# Microscope Illuminator ЛОМО ОИ-19 (LOMO OI-19)

I got this microscope illuminator a while back and wanted to share some things about it. Mine came as is, without power supply nor any filters. It did however come with the tungsten lightbulb, which is nice since those things alone are expensive to get. Optical design The optical design consists of a convexconcave and a biconvex lens, followed by a diaphragm and an optional filter. According to the instruction manual the aperture is 0,67.

# DIN Rail ESP8266 Dual-Relay

The other day I’ve built myself an ESP8266 WiFi dual-relay for standard DIN rails. Electronics Bottom PCB The bottom PCB is fairly simple, input goes through a polyfuse and a bridge rectifier such that I can power it both from 8VAC-12VAC or 12VDC. And then just a 7805 with protection diodes and a heatsink. At 12V the 7805 dissipates around 0.6W of power which doesn’t sound much, but it gets hot.