23 ms·
It's even worse than shown in the video. Consider: sin^2(x) = (sin(x))^2 sin^-1(x) = arcsin(x) Switching to triangle notation would help remove this confusin
by mrob 10y ago
It's even worse than shown in the video. Consider:
sin^2(x) = (sin(x))^2
sin^-1(x) = arcsin(x)
Switching to triangle notation would help remove this confusing overloading of the superscript operator. The only drawback I see with triangle notation is there's no obvious way to type it on a single line.
- Mickydtron 10y agoYou might be able to approximate the triangle in line by using slash and backslash. 2/3\ = 8. 2/\8 = 3. /3\8 = 2. Not nearly as pretty, but if you're familiar with the triangle in a hand written context, it might get the point across.
- Retra 10y agoJust use the connecting edge: 2(/)3 = 8, 2(-)8 = 3, 3(\)8 = 2.
- mcphage 10y ago> The only drawback I see with triangle notation is there's no obvious way to type it on a single line. Definitely a valid complaint, although nth-root and log-base-b are already poor for typing on a single line.
- dasfasf 10y agoHas this ever actually caused you confusion?
- Pxtl 10y agoI have seen students get very confused by the ^-1 arcsin thing. Imho that one needs to go away and just use the word arcsin or develop a proper symbol for "inverse"
- yoha 10y agoThere are just overloaded notations from two different contexts. sin² can mean either: * x → sin(x)² (in multiplicative group) * x → sin(sin(x))² (in composition group) Similarly, sin⁻¹ can mean either: * x → 1 / sin(x) (in multiplicative group) * x → arcsin(x) (in composition group)