Math Bag of Tricks
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100 Days of Programming Projects: Reflections and Tips after Day 14 and the Beginner Level Section of the Course
Day 14 marks the end of the beginner level. I just finished that and all in all as expected nothing fundamentally new learned so far. Still, I had some refreshers here and there and learned a couple of nice tricks. Most days ended with a guided programming project that used newly learned concepts of that…
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Mastering Python Basics: Essential Programming Concepts From the First 7 Days of 100 Days of Coding Bootcamp Course on Udemy
The first 14 days are labelled as beginner level. And so far I have certainly not learned any new concepts, it is all about the basics of programming really: variables, conditional statements, loops, functions and the like. Still, most of what I learned so far came from the daily programming projects. During those projects I…
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Gauss’s Formula for Summing Numbers Continued
In an earlier post I mentioned coming across the reasoning followed by Gauss to prove that the sum of the first n numbers is equal to n(n+1)/2. I started wondering if there is no generalization available for this formula: what is the sum of the whole number m to n, m and n included. Following…
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Understanding Gauss’s Formula for Summing Numbers
As mentioned in another post I am checking out a 100 days of code python bootcamp on Udemy and following the beginners section to see if it would be useful for my son. On day 5 loops and the range function are discussed. In one lesson Gauss pops up and the story is told how…
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Volkomen Kwadraten en Irrationale Getallen
Een irrationaal getal is een reëel dat niet kan geschreven worden als a/b met a ∈ ℤ (een geheel getal) en b ∈ ℤ0 (een natuurlijk getal). Een getal is een volkomen kwadraat als het het kwadraat is van een geheel getal. Een paar voorbeelden zijn 1, 4, 16 etcetera. Een ‘interessante’ eigenschap van volkomen…
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Perfect Squares & Irrational Numbers
An irrational number is a real number that cannot written in the form a/b with a ∈ ℤ (a whole number) and b ∈ ℤ0 (a natural number or whole number excluding 0). A number is a perfect square if it is the square of a whole number. A few examples are 1, 4, 16…
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