My Educational Articles

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Comparison of difficulty of different languages
When people start thinking about learning a language like Russian or Chinese, one of the first thoughts that spring to mind is that it (...)
July 24, 2017 – Jakub MarianLanguage learning
“Sort by date” slow in Windows 8 and 10 – solution
There’s one “feature” in Windows 8 and 10 that’s been really annoying me lately: sorting by date. When you select Sort by → Date in view (...)
July 23, 2017 – Jakub MarianBlog
European languages by number of native speakers
There are almost a hundred different languages spoken natively in Europe, but only about 40 of them have 1 million speakers or more. The (...)
July 16, 2017 – Jakub MarianMaps
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Nouns, adjectives, and adverbs in Esperanto
Esperanto has an extremely simple system of nouns, adjectives, and adverbs. There are no grammatical genders (non-living things are not (...)
July 13, 2017 – Jakub MarianEsperanto
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Why not mij, vij, lij instead of ni, vi, ili in Esperanto?
Esperanto is a very logical language, with complex words derived from simple roots in a highly regular way. Why, then, is it not possible (...)
July 12, 2017 – Jakub MarianEsperanto

By the way, have you already seen my brand new web app for non-native speakers of English? It's based on reading texts and learning by having all meanings, pronunciations, grammar forms etc. easily accessible. It looks like this:

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‘Most everyone’ vs. ‘almost everyone’ in English
“Most everyone”, meaning “almost everyone”, is a colloquial phrase that became somewhat widespread in spoken American English, but the (...)
July 10, 2017 – Jakub MarianEnglish
How to calculate the factorial of 1/2
As I proved in my article on integration by parts (at the end), the factorial of a natural number $n$ can be calculated using the (...)
July 8, 2017 – Jakub MarianMathematics
Integral of $\log(x)$ (or $\ln(x)$)
The natural (base $e$) logarithm is usually denoted $\log(x)$ in mathematics, but for the sake of students of other disciplines, we will (...)
July 7, 2017 – Jakub MarianMathematics
Explanation of integration by parts
Integration by parts is one of the first methods people learn in calculus courses. Together with integration by substitution, it will (...)
July 6, 2017 – Jakub MarianMathematics
‘July’ in European languages
July, the seventh month of the year, was named iūlius by the Roman Senate in honour of the Julius Caesar, and the Latin name spread to (...)
July 5, 2017 – Jakub MarianMaps