The substitution property of equality is a part of its definition; you can substitute anywhere.
The substitution property of equality is a part of its definition; you can substitute anywhere.
The choice is obvious to you. Not to the average American.
[…] until we wake up and Kemi Badenoch doesn’t exist anymore […]
Just an unfortunate choice of words. It would have been easy to foresee how this could be interpreted. That doesn’t mean she’s right, though.
Also, does anyone have a proper definition of optics
(in this context)? I’ve heard this word a lot, but I still don’t quite understand it
Similarly, 1/3 = 0.3333…
So 3 times 1/3 = 0.9999… but also 3/3 = 1
Another 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
Interesting that an Israeli newspaper provides a more balanced report than US outlets… how did that happen?
I’m pretty sure that would be ex uno, plura
They did cooperate with authorities, but they also took their time in disclosures to explain precisely what the user did wrong, and how you can avoid making the same mistakes. At the end of the day, Proton only has the information you provide them. And if you don’t encrypt your stuff, it’s not safe.
No option to disable… that I found, that is.
Mine provides a connection, but doesn’t expose ports on v6. So I can access v6 services but can’t self-host any.
School teachers. Not deliberately, but there is a shortage of them here.
supporting a terrorist organization
Also a serial traffic offender. Not really that important but quite ironic as he is responsible for the police.
Hitler has only got one ball!
The other is in the Albert hall,
His mother, the dirty bugger,
Cut it off when he was small.
Are there people on Lemmy defending the bombing of Palestinians because of various reasons?
Protests were calling for years for Netanyahu to go to The Hague. Is it happening?
In my country, basically everyone accepts climate change, except perhaps the most conservative and those who already believe in conspiracy theories. What is going on in the US?
There’s a known Plasma 6 bug causing some weirdness at the bottom of the screen, but I expect it will be fixed soon. In any case, switching between virtual desktops gets rid of it.
Does M3/M4 support AV1 encoding?
You can use negative decibels, right? It’s a logarithmic scale
Netanyahu only wants one thing, and it’s to stay in power for as long as possible. If a regional war gives that to him (via Ben-Gvir), he won’t mind.
Edit: He currently holds a parliamentary majority. If he agrees to a ceasefire, the more extreme members of his coalition will no-confidence him together with the opposition. And, as it stands right now, he has no chance of participating in the next government.
For any
a
,b
,c
, ifa = b
andb = c
, thena = c
, right? The transitive property of equality.For any
a
,b
,x
, ifa = b
, thenx + a = x + b
. The substitution property.By combining both of these properties, for any
a
,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 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.(Edit)
Take the following simple system of equations.
How would you solve it? Here’s how I would:
Here’s how Microsoft Math Solver would do it.