Apparently you can’t read either textbooks or wikipedia and understand it.
Also, wait, you’re just a tutor and not actually a teacher? Being wrong about some incredibly basic thing in your field is one thing, but lying about that is just disrespectful, especially since you drop that in basically every sentence.
We’ve been at this point, I’m not going to explain this again. But you weren’t able to read a single sentence of a wikipedia article without me handfeeding it to you, so I guess I shouldn’t be surprised. I’m sorry for your students.
Yeah, doesn’t mean that you know what an author is talking about when you encounter it doing actual math
The notation is not intrinsically clear, as any human writing. Ambiguous, one may say.
If you don’t want to see why you’re wrong that’s your thing, but I tried. I can just say, try to re-read the math textbook you took pictures of, and try to understand it.
Exactly! It’s in math textbooks, in both ways! Ambiguous notation, one might say.
You can define your notation that way if youlike to, doesn’t change the fact that commonly f^{-1}(x) is and has been used that way forever.
If I read this somewhere, without knowing the conventions the author uses, it’s ambiguous
Let me quote from the article:
“In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality x*(y+z) = x*y + x*z is always true in elementary algebra.”
This is the first sentence of the article, which clearly states that the distributive property is a generalization of the distributive law, which is then stated.
Make sure you can comprehend that before reading on.
To make your misunderstanding clear: You seem to be under the impression that the distributive law and distributive property are completely different statements, where the only difference in reality is that the distributive property is a property that some fields (or other structures with a pair of operations) may have, and the distributive law is the statement that common algebraic structures like the integers and the reals adhere to the distributive property.
I don’t know which school you went to or teach at, but this certainly is not 7th year material.
About the ambiguity: If I write f^{-1}(x), without context, you have literally no way of knowing whether I am talking about a multiplicative or a functional inverse, which means that it is ambiguous. It’s correct notation in both cases, used since forever, but you need to explicitly disambiguate if you want to use it.
I hope this helps you more than the stackexchange post?
If you read the wikipedia article, you would find it also stating the distributive law, literally in the first sentence, which is just that the distributive property holds for elemental algebra. This is something you learn in elementary school, I don’t think you’d need any qualification besides that, but be assured that I am sufficiently qualified :)
By the way, Wikipedia is not intrinsically less accurate than maths textbooks. Wikipedia has mistakes, sure, but I’ve found enough mistakes (and had them corrected for further editions) in textbooks.
Your textbooks are correct, but you are misunderstanding them. As previously mentioned, the distributive law is about an algebraic substitution, not a notational convention. Whether you write it as a(b+c) = ab + ac or as a*(b+c) = a*b + a*c is insubstantial.
Please learn some math before making more blatantly incorrect statements. Quoting yourself as a source is… an interesting thing to do.
https://en.m.wikipedia.org/wiki/Distributive_property
I did read the answers, try doing that yourself.
I don’t know what you’re on about with your distributive law thing. That just states that a*(b + c) = a*b + a*c, and has literally no relation to notation.
And “math is never ambiguous” is a very bold claim, and certainly doesn’t hold for mathematical notation. For some simple exanples, see here: https://math.stackexchange.com/questions/1024280/most-ambiguous-and-inconsistent-phrases-and-notations-in-maths#1024302
If it’s networking related, I like “Layer 8 Issue”
Pemdas puts division and multiplication on the same level, so 34/22 is 12 not 3. Implicit multiplication is also multiplication. It’s a question of convention, but by default, it’s 16.
I also think 50ms is a bit pessimistic, but there are locations which are far off of googles datacenters (at least until they finish their Johannesburg location, south africa seems very isolated) and you’re never directly connected via as-the-bird-flies fibre connections, actual path length will be longer than just drawing a line on a map.
This can all be mitigated by just building more and closer edge servers, of course, but at some point you just have a computer in your room again.
No, it seems to be in the right order of magnitude
https://www.wolframalpha.com/input/?i=circumference+of+earth+%2F+speed+of+light
Obviously light doesn’t have to travel quite as far, but 50ms is not a bad estimation for a worst case. Also you have to add processing delays at each router, which makes everything far slower.
You can also use revanced to patch your own api key into Infinity and use that instead
Because I need a browser.
Linux by itself is just a kernel, there’s a whole range of operating systems using it. Most of them have some commonalities, but there are also huge differences. Most of them can run directly from a USB stick (or in a VM obviously), so you can try some out.
Some things that basically all of them do very well, compared to windows:
mainly open source components (± some proprietary drivers and apps, if you want)
no ads in the OS
support for very old hardware, being (depending on actual OS more or less) light and resource efficient
very good package management
customizability
There are many things that are specific to some OSes. I switched from Windows 10 years ago, and I can’t see myself going back. Everytime I have to use it somewhere, I get annoyed quickly.
There are some drawbacks:
software has to be built against a specific kernel, and some proprietary software is not offered for linux. There are compatability layers for running windows software on linux without emulation, but they are mainly optimized for games (I’ve had windows-only games run faster on linux than on windows!).
some drivers are unavailable for linux, as the device manufacturers have to cooperate somewhat. However, almost everything will work.
some drivers are available, but require binary blobs distributed by the manufacturer. The proprierary NVidia drivers, for example, are faster than the open source reimplementation noveau, but they can cause problems with some software like sway. If you have an AMD gpu, their open source drivers are great, so no problems.
Roughly all the servers (including Microsofts own cloud), half the mobile systems, lots of the larger embedded stuff and some small percentage of deksktop systems are using Linux. Again, just try something (maybe Pop!_OS or Mint) and see if you like it.
Pokemon Platinum
I’m not using logic in this case, you are just being insincere. Let me know when you bother to try to understand anything I or the authors of your holy textbooks wrote.