My Educational Articles

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“Majority is” / “majority are”: Collective nouns in English
“Majority” is one of a few nouns in English that can be used either with a singular or a plural verb. These nouns are called collective (...)
October 17, 2013 – Jakub MarianEnglish
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Bells and whistles – English idiom with examples
The phrase bells and whistles refers to features of an object which are not essential to it, but which make it attractive or special. Its (...)
October 15, 2013 – Jakub MarianEnglish
Differentiation (derivatives) without variables
To be able to differentiate a function without using variables, we have to be able to denote the function we want to differentiate without (...)
October 14, 2013 – Jakub MarianMathematics
The best online resources for translation between English and German
Translating texts between languages often takes more than just translating the words. Some words like “table”, “house”, or “carpet” (...)
October 13, 2013 – Jakub MarianEnglish, German
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Common English words that also have a second, less common and unrelated meaning
There are a few English words that have a primary meaning (or sometimes several predominant meanings) which is the one you think of when (...)
October 12, 2013 – Jakub MarianEnglish

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:

How to define functions without using variables
First, note that this article is not about the definition of elementary functions, such as $\sin$ and $\cos$, and operations, like $a^b$, (...)
October 11, 2013 – Jakub MarianMathematics
Applying an operator with respect to a variable
There are seemingly two kinds of “operations” used in mathematics when it comes to working with functions; you can either take a function (...)
October 10, 2013 – Jakub MarianMathematics
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How to improve your English pronunciation
If you pronounce “bear” (the animal) the same as “beer”, it can lead to a serious misunderstanding; however, it doesn’t really matter (...)
October 2, 2013 – Jakub MarianEnglish
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To run the risk – English idiom with examples
If you run the risk of something, it means that you are willing to possibly let something bad happen, usually because you don’t have any (...)
October 1, 2013 – Jakub MarianEnglish
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Pronunciation of ‘cent’ in English
The word “cent” often gets mispronounced by English learners. Why? Because it usually exists also in their mother tongue, but pronounced (...)
October 1, 2013 – Jakub MarianEnglish