PDEs are a significant enough thing that the article is probably correct. But once you get into more niche math articles, a lot of the writing is incorrect.
I know enough to know the examples for Base sqrt(2) are not correct, but I don't know enough to write a proper example.
For example if this is true "Base √2 behaves in a very similar way to base 2 as all one has to do to convert a number from binary into base √2 is put a zero digit in between every binary digit"
Then Base(10) 3 aka Base(2) 11 converted to Base(sqrt2) would be 101. But it is actually 1000.000001
> Once again,
This is your first comment to me
I don't see how. As per the expansion definition in the article 101 = 2+0+1 = 3
1000.000001 = sqrt(8) + epsilon.
I don't understand why this bothers people. If something on Wikipedia is above or below my level, I just skip it. It takes all of three seconds to recognize. I've consistently found it to be a great starting point for self-study in all sorts of math.
It’s an incredibly common cause of anxiety in math education, and even if you’re not personally affected by it others may be.
Now it surely would be nice, if it could work more like it.
That wikipedia knows my skill set and automatically hides or show additional paragraphs in certain topics etc. or even the paragraph in a simpler language etc.
But this a bit more ambitious - and not really achievable with the current approach. So if I want a math course, I search for a math course.
I question whether this can be a root cause of anxiety. Simply not understanding stuff does not normally cause anxiety. Most people don't get anxious looking at, for example, Chinese characters.
On the other hand, imputing that something should be frightening can actually cause a fear response:
https://psycnet.apa.org/record/1993-20380-001
https://www.sciencedirect.com/science/article/pii/S030105110...
https://www.nature.com/articles/nn1968
Teaching students that incomprehensible math should frighten them doesn't seem like a good approach. There are no grades or critical teachers when you're passively reading a Wikipedia article.
Repetitive content, written at several levels simultaneously, weird fixations on tangential topics.