The key to teaching division to young students who have only been introduced recently to more complicated mathematics forms is to make the student feel involved with the process, while finding it pleasant at the same time.
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Ok, it's time for a #FUNctionalAnalysis thread! Let's talk about Hilbert spaces. (I hope you like linear algebra, because that's what we're
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
— syzygay (@syzygay1) August 9, 2020
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
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👨💻 Last resume I sent to a startup one year ago, sharing with you to get ideas:
- Forget what you don't have, make your strength bold
- Pick one work experience and explain what you did in detail w/ bullet points
- Write it towards the role you apply
- Give social proof
/thread
"But I got no work experience..."
Make a open source lib, make a small side project for yourself, do freelance work, ask friends to work with them, no friends? Find friends on Github, and Twitter.
Bonus points:
- Show you care about the company: I used the company's brand font and gradient for in the resume for my name and "Thank You" note.
- Don't list 15 things and libraries you worked with, pick the most related ones to the role you're applying.
-🙅♂️"copy cover letter"
"I got no firends, no work"
One practical way is to reach out to conferences and offer to make their website for free. But make sure to do it good. You'll get:
- a project for portfolio
- new friends
- work experience
- learnt new stuff
- new thing for Twitter bio
If you don't even have the skills yet, why not try your chance for @LambdaSchool? No? @freeCodeCamp. Still not? Pick something from here and learn https://t.co/7NPS1zbLTi
You'll feel very overwhelmed, no escape, just acknowledge it and keep pushing.
- Forget what you don't have, make your strength bold
- Pick one work experience and explain what you did in detail w/ bullet points
- Write it towards the role you apply
- Give social proof
/thread
"But I got no work experience..."
Make a open source lib, make a small side project for yourself, do freelance work, ask friends to work with them, no friends? Find friends on Github, and Twitter.
Bonus points:
- Show you care about the company: I used the company's brand font and gradient for in the resume for my name and "Thank You" note.
- Don't list 15 things and libraries you worked with, pick the most related ones to the role you're applying.
-🙅♂️"copy cover letter"
"I got no firends, no work"
One practical way is to reach out to conferences and offer to make their website for free. But make sure to do it good. You'll get:
- a project for portfolio
- new friends
- work experience
- learnt new stuff
- new thing for Twitter bio
If you don't even have the skills yet, why not try your chance for @LambdaSchool? No? @freeCodeCamp. Still not? Pick something from here and learn https://t.co/7NPS1zbLTi
You'll feel very overwhelmed, no escape, just acknowledge it and keep pushing.