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What it’s like to work as a data scientist in a bank
I’ve been working as a data scientist in the private sector (in a bank) for the past three years, one year as the leader of a chapter of (...)
January 23, 2022 – Jakub Marian – Mathematics
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What is real GDP and GDP growth?
Politicians and economist always keep talking about gross domestic product (or GDP for short). But what is GDP and why does everybody seem (...)
November 15, 2018 – Jakub Marian – Economics
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How to understand GDP indicators
Gross domestic product, or GDP for short, is perhaps the single most important measure in modern macroeconomics. That is not to say that (...)
November 5, 2017 – Jakub Marian – Economics
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GDP of Arab League Countries 2016
The Arab League is a regional organization of 22 countries where (a dialect of) the Arabic language is spoken. The following table shows (...)
October 26, 2017 – Jakub Marian – Economics
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What is $0^0$ ($0$ to the power $0$)?
A short answer to this question is that $0^0$ is usually left undefined in introductory calculus classes, just like $0/0$, but it is often (...)
October 15, 2017 – Jakub Marian – Mathematics
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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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Integral of $\cot(x)$
To integrate cot(x), recall that cot(x) = cos(x)/sin(x), so ∫ cot(x) dx = ∫ cos(x)/sin(x) dx. (...)
September 21, 2017 – Jakub Marian – Mathematics
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Integral of $\sin(x)\cos(x)$
The function $\sin(x)\cos(x)$ is one of the easiest functions to integrate. All you need to do is to use a simple substitution $u = (...)
September 6, 2017 – Jakub Marian – Mathematics
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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 Marian – Mathematics
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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 Marian – Mathematics
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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 Marian – Mathematics
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