ytg
@ytg@sopuli.xyz
Elsewhere in the Fediverse:
- Comment on The Divine Dick 1 month ago:
I can follow this, up to
they are neopronouns
I believe that that’s a decision made by translators of the bible. Hebrew doesn’t have lowercase letters, and the Greek versions of the New Testament that I found don’t capitalize as much. And are they distinct?
- Comment on PSA: Libraries 4 months ago:
A new public library place recently opened very near to where I live. I’ve nothing to say, am just a bit comforted that when the world is crashing and burning, at least I can be happy about this.
Also some libraries provide 3D printers which is really cool
- Comment on Linguistics 5 months ago:
That has to do with the definition of what a word even is. “Alot” is clearly made up of two separate units, but so is “anyway”. I think a lot of people don’t like this one because it’s simply unnecessary. You need “anyway” to show that the two words are not stressed separately, but treated as one unit, whereas with “a lot” this is already obvious (“a” is almost never stressed).
Also has to do with English spelling just being bad, generally. - Comment on J.K. Rowling Blasts “Gender Taliban” David Tennant After ‘Harry Potter’ Actor Said “Whinging” Trans Critics Are On “Wrong Side Of History” 5 months ago:
that can’t stop giving her money
well… I mean…
- Comment on I just cited myself. 5 months ago:
For any
a
,b
,c
, ifa = b
andb = c
, thena = c
, right? The transitive property of equality.
For anya
,b
,x
, ifa = b
, thenx + a = x + b
. The substitution property.
By combining both of these properties, for anya
,b
,x
,y
, ifa = b
andy = b + x
, it follows thatb + x = a + x
andy = a + x
.In our example,
a
isx’
(notice the'
) andb
is0.999…
(by definition).y
is10x’
andx
is9
. Let’s fill in the values.If
x’ = 0.9999…
(true by definition) and10x = 0.999… + 9
(true by algebraic manipulation), then0.999… + 9 = x’ + 9
and10x’ = x’ + 9
.if you are rearranging algebra you have to do the exact same thing on both sides
If you actually change any of the sides. Since, after substitution, the numeric value doesn’t change (literally the definition of equality), I don’t have to do anything – as I’m not rearranging. I’m merely presenting the same value in an equivalent manner. By contrast, when multiplying both sides by 10, since multiplication by 10 changes the concrete numeric value, I have to do it on both sides to maintain the equality relation (ditto for subtracting
x’
). But substitution never changes a numeric value – only rearranges what we already know. - Comment on I just cited myself. 5 months ago:
The substitution property of equality is a part of its definition; you can substitute anywhere.
- Comment on I just cited myself. 5 months ago:
Similarly, 1/3 = 0.3333…
So 3 times 1/3 = 0.9999… but also 3/3 = 1Another nice one:
Let x = 0.9999… (multiply both sides by 10)
10x = 9.99999… (substitute 0.9999… = x)
10x = 9 + x (subtract x from both sides)
9x = 9 (divide both sides by 9)
x = 1 - Comment on How's my favorite noise machine today? 8 months ago:
You can use negative decibels, right? It’s a logarithmic scale