Gallery — Math

Lagrange's Theorem

This is the homework my students use for typing up their weekly homework in LaTeX.

Muons compose the penetrating component of Cosmic Rays. At sea level, they constitute the largest part of Secondary Cosmic Rays, giving an average flux of ≈ 100 m−2s−1sr−1. The aim of our experiment is to estimate, from muon decay, the mean lifetime and the mass of invisible products. Our experimental setup includes four detectors: three of them are plastic scintillators and compose the trigger system, while the last one is a liquid scintillator which measures the particles energy. All these scintillators are read by photomultipliers. Trigger and pulse thresholds are computed by logical and temporal modules in a VME crate. The Data Acquisition System has been verified to work properly. It is composed of two fADCs modules, one I/O Register, one Motorola computer and a Farm. The liquid scintillator has been calibrated in energy using both passing muons and 60CO gamma source. Thanks to the charge-energy conversion factor we estimated electron energy spectrum. In particular we selected a sample of decay events by estimating muon mean lifetime τμ = 2.19 ± 0.34 μs; then we finally extrapolated an upper limit for invisible products mass mν < 5.99 ± 0.73 MeV/c2.

A template for problem sets, set up to enter blocks of equations, images and arrays.

Bad Math Journal

A solution for CSI500 project 3

Übungsblatt 6

A 5th order sine wave approximation

Stručný přehled vzorců a vztahů z předmětu PST. Neobsahuje všechny triviální věci (pravděpodobnost jevu) a některé komplikovanější, které se nedají snadno stručně shrnout (CLT, Markova nerovnost etc.). Veškerou většinu ostatní potřebné výbavy na zkoušku ale ano.