I've not worked through a large book of problems like this before. At risk of sounding silly, are there solutions to the sample problems? I've given a few a go but can't find the answers anywhere to check my work.
It is not a silly question at all, a companion book with working and answers makes perfect sense. Universities and academic institutions who create things like this were often very wary as they often reuse these questions in classes and alternate the same questions over a span of 5 years. As realistically to test a small module of a subject the actual amount of viable questions in that question pool is rather few.
I looked into this book before and without solutions it makes it much harder to use for self-study. Maybe LLMs do change that now but I'm not sure I'd trust their output if I were learning the topic
Susanna Epp's Discrete Mathematics With Applications is also a really good option
The logical skills to evaluate the output of a LLM are the same skills brought to bear reading any book. What makes you trust this textbook then? Textbooks are not infallible.
Good textbooks have gone through expert reviews and multiple iterations of improvement. That can't be said of an LLM answering your personalized questions or the book problem
> Good textbooks have gone through expert reviews and multiple iterations of improvement.
That's an assumption increasingly false, unfortunately. The spirit of collegiality has been beaten back.
Far better to hone logical skills that sift between fact and error than to rely on social reputation. Ironically we're discussing a text designed to do exactly that.
The savvy LLM user already knows to be on the lookout for falsehood, if not bad pedagogy. That's a benefit, not a drawback of LLMs.
Math Academy has a comparable Discrete Math course that shows you how to solve every problem after you submit a solution and incorporates spaced repetition.
I hate to be that guy, but ... frontier LLMs have gotten quite good at problems like these!
I recently was struggling with a linear algebra problem. It wanted me to prove X. If I used one route I could prove X. But then strangely enough, going another route, I disproved X!
I went to Gemini and asked how it could be so, and it pointed out flaws in my proof. Very helpful!
> Chaum published the idea of anonymous electronic money in a 1983 paper; eCash software on the user's local computer stored money in a digital format, cryptographically signed by a bank
Octopus cards had already been introduced in Hong Kong, and I think similar cards had been trialled elsewhere, so it might be that sort of thing they’re thinking of?
Based on the main demographic that normally jumps to Firefox, it would at least be a good idea for them to make the features opt in rather than opt out. Most of this stuff is on by default.
I'm curious about what you think AI would do for those features? I've never had issues with ads after just installing stock uBlock Origin, and local translation is already available and works great for me across the web. I'm not sure what AI would do for tab grouping. Are you envisioning having 100+ tabs and then telling an AI assistant to sort it all out for you?
true, but that's not the same as "nobody wants AI"; them fucking it up once shouldn't mean that they should drop the entire idea; by this logic they should stop making browsers altogether
the only thing actually pissing me off about this is the selection popup, everything else is just yet another (useless) button in a menu
> local translation is already available
and it's already "AI"
> I'm not sure what AI would do for tab grouping ...
they already have a "suggest more tabs" thing that does exactly this using a local model; it's insanely slow, low quality, doesn't use gpu, but the idea is nice. I'm hoping they will continue working on it, as managing tabs across multiple windows is not exactly what I want to spend my time on, and it's exactly the type of a problem LLMs are perfect for
> never had issues with ads
it could always be better; there's always a certain amount of sites that either don't work at all or still show ads, and I imagine you could use a local VLM to hide elements based on the actual rendered result; same with cookie banners, annoying sign-in prompts, and so on -- how is this not the coolest thing ever? as long as you have like 8gb (v/u)ram, you could immediately unshittify most of the web
It's been discussed previously, but pixel devices are chosen for hardware security feature sets. Other devices are either not compatible/open enough to use or a security downgrade.
Techy people enjoy stats and metrics you can review. It's fun to pull up my sleep data and compare averages between last 7 days/31 days/12 months. It's interesting to see my heart rate at different points during exercise or other activities. Sometimes I can recall what I was doing on a particular day just looking at the amount of steps.
I'd like a manual "sync now" option. Sometimes I put stuff in google drive using windows explorer and it's not immediately obvious if it is syncing, why it is or isn't, or what I need to do to make it.
I've got a theory that progress bars for main functionality tasks and the associated manual triggers in modern software are out of favor, as it creates a stage for an error to be displayed and creates expectations the customer can lean on. Less detail in errors displayed to the customer removes their ability to identify a software problem as unique or shared among others.
I think you're right and I think I insufficiently considered malice as the reason for a lot of this type of minimalism. This "SWW" message is great as it doesn't even give a hint as to whether the problem is with the server (all vendor's fault), the network (not vendor's fault), or a client fault (maybe vendor's fault, maybe customer just needs to update it). Users can just do brute force things like "Swipe up the app and open it up again" and eventually just give up.
Syncing should be in the control of users. user should be able to trigger or abort the sync. Also it should provide some sort of indicator of progress.
A lot of consent banner implementations have a clear accept all and then an intentionally obtuse alternative where you have to manually untick every "partner" you don't want to give data to. Presumably this is more profitable, as a lot of people will just click accept all instead of wasting their time.
A lot of people in the thread are speculating that this approach is illegal, but it seems to have widespread use across the web. Why doesn't DataGrail do this? Was it something requested by advertisers/management that your team pushed back on?
It's pretty clear from my reading of the (EU) laws that giving prominence to "Accept all" and not having the same level of prominence for "Essential only" is not acceptable. US is a whole different story, but has some bright points: GPC is already required in several states, and spreading. This removes the need for a consent banner to show on screen, which is great.
Our primary job is to make our customers compliant, so we try to "push them into the valley of success". That means GPC and DNT "do the right thing" by default, no deceptive design (dark patterns), etc.
Have you got a source for the national flags claim? I'm not sure that is a feature on Reddit. Most subreddits have custom flairs and some will let you choose a flair for your country, but afaik Reddit mods can't autodetect a poster's country of origin.
Unfortunately I seem to have conflated facts. 4chan pol has flags, and spez had a bit of a tiff with The Donald users where he changed their posts without consent (removing his name I think) that led to some consternation.
There were also investigations showing Russian activity in The Donald. But somehow the flag story is something I seem to have dreamed into this story. Doesn’t seem have happened (even though I have oddly specific memories about it).
Unfortunately I seem to have conflated facts. 4chan pol has flags, and spez had a bit of a tiff with The Donald users where he changed their posts without consent (removing his name I think) that led to some consternation.
There were also investigations showing Russian activity in The Donald. But somehow the flag story is something I seem to have dreamed into this story. Doesn’t seem have happened (even though I have oddly specific memories about it).
An easily searchable platform with curated high quality guides would be a good place to start when trying to do anything. Guides aren't something I'd want to stumble on, like YC posts, but something I would be seeking out. Probably a top feature would be a robust tagging system/search engine rather than the social Reddit elements like karma, hot page, trending subs, etc. Would be cool!
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