u/CognitioMortis

I've spent all of my life stressed out about finding happiness and fitting in. It was such a massive constant mental burden.

I stopped bothering and it freed up so much of my mind I'm able and have energy to do things I couldn't do before.

I will never get rid of the awful experiences I've had, I will always be shaped by them. Some people have different reactions to even worse hardships than mine but this is just how I am.

I will never have friends, i will never be rid of the constant feeling of fear and doom, i will die alone and that's completely fine.

Seeing how the only way to get this is through the API, how do I get the same chat experience from the paid API?

I know you can do much more with agents and stuff but all I use LLMs for is very simple tasks like web search (because search engines sucks now), pdf parsing and extracting references from massive pdfs. Deepseek was my main go because it's smart enough and has unlimited chat.

Setting up websearch, pdf parsing and all the other tooling that the chat version has built-in is a huge pain in the ass.

Yesterday I was having dinner with my coworkers and said "water over the dam" and everyone looked in bewilderment at me until someone said "You mean water under the bridge?" and everyone started laughing at me.

All this time I thought "Hmm, water over the dam, that sounds like the "water under the bridge" idiom we have, I wonder why they say over the dam instead of under the bridge".

Now I'm wondering how many fucking false idioms I have said and still think are standard english ones

What Mathematics should every math graduate know?

I know it depends on the field and what not but you expect that every math graduate knows linear algebra, calculus, real analysis, etc. what else?

I had a bit of a frankenstein's math bachelor's degree due to switching unis and taking time off and I haven't taken core courses like real analysis, abstract algebra or discrete mathematics so I'm very insecure about my math ability and I am not sure about continuing with a master's degree in mathematics.

Are there any books that teach DSP for people with a mathematics background?

I am really struggling to follow and understand DSP. It seems that it's taught in the most obtuse and confusing way possible on purpose.

In mathematics you always formally define every concept in a rigorous and formal manner. For example a isomorphism, it's just an invertible bijection. This definition holds regardless in any context it appears. You might generalize it or add additional constraints to get new morphisms but the underlying concept is the same. The good mathbooks always introduce a concept by first motivating it, defining it, stating the theorem and then proving it and giving examples.

In DSP words and concepts appear out of the blue and barely anything is formally defined. For example, the lector used the concept of "pole" out of the blue. I dig and search online and see that they are the solutions for of the polynomials in a transfer function which in the z domain. Now I am sitting here wondering wtf does any of these mean and how is it related to filters.