stat89a

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EECS127: e127.find

This work has been going on for far longer than the past week that ee127 has been in session. It’s been building for awhile, and very connected to the stat89a course I took. Hence, I’ll carry the work on here.

to find e127 posts ill add e127 in the posts. 

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HUG 61b public autograder, what more do you want?

-For all the worksheets, *n* answers/explanations. Pick best student/staff answers and let users from anywhere that are self studying see verified answers.

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Im trying to place myself in the curriculum. After the midterm, we raced through orthogonality. My previous exposure helped me get by, but I really feel insecure about that material.

I am juggling at least two things-the understanding of projection/orthogonality/bases&that jazz, and this probability stuff we’re trying to get grounded in terms of expectation, while showing how linear algebra will apply nicely.

In still in the orange, maybe slightly in the pink. I’ve been trying to roadmap the course material to aid my understanding. Right now, I’m forgetting a crucial ingredient-no wait 2 at least!

-outside sources need to be tied into the roadmap. These might be considered critical rest stops to refuel and gather myself, and get much needed help with understanding.

-office hours! Talking to peers & group working. I’m doing 0 of this!!! I need to talk about the material...

If I want to stay in orange, I should keep tryna do it all on my own. If I want a super slow path to pink, exhausting myself and barely getting anywhere, I should look for outside help. If I want to work (blue), I need to tie in my community!

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Data8 FINISHING PLAN

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3/2/21 matrices as functions, inverses & the systems of equations that arise in both the hunt for an inverse & other applications

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HW4 with the functions on vectors that output size; if they’re defined right, they’ll qualify as ‘norms.’

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Group Tables Demo ~ Pandas groupby. The action forming the second column is effectively what would go on in a third, fourth, ..., nth attribute that is not the groupby attribute. Remember also in panda it may help to set as_index=False.

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I'd advise being more careful about how you phrase this. A "function" that does not map all elements of its domain is not a function but a more general object called a "partial function". In other words, a partial function is not a special type of function but, rather, the opposite is true; a function is a special type of partial function, sometimes called a "total function" in that context

– Alexis Olson                Nov 24 '19 at 1:44

TL:DR / taxonomy of ‘function’

use the language: a function, not a function; a partial function, not a total function; a total function.

If it’s not a function: not a function

If it’s a function f: A -> B function

may be defined for some a in A, not necessarily all. partial function

if it is not defined for some a in A. not a total function

defined for all a in A. total function

See the result below and more at MathStackExchange post terminology - Is a total function also a partial function?

Yes. A partial function from A to B is a total function U→B for some U⊆A; under this definition a total function is just a partial function with U=A. This is valid since A⊆A.

       answered Aug 1 '12 at 15:57                                Clive Newstead

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Notes:

Data Repeats (in what would be ‘A’, technically a superset of true A)

¿How deal?

¿Well... wot want?

$$$ IMAGE

¿How get?

$$$ Tal’m bout restrictions on pre-image !

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1/26 Tuesday notes 2.2-2.2.2

Taking these notes on Thursday 1/28, from what I remember

Defined a function, emphasized input (set) & output (set)

actual inputs are the domain, actual outputs are range (codomain)

Defined a binary relation, and went over visualizations

mappings as a directed graph, or a grid of marked boxes

Functions are constrained binary relations

these constraints... (TODO)

(TODO)

Talked about operations on binary relations ~ where i got lost

NTS: I’d like to get a look at ch. 2 hw to have an idea of how we’ll be applying this stuff.

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Minimizing errors as they propagate. Nice write-up!

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hw0 python

Working in a notebook feels slow.

I can’t use a text editor, & I don’t like the amount of clicking and scrolling. I wanted to be able to use Sublime or Vim to work on the actual code parts. So I found a solution.

Open the .ipynb file in Jupyter

Make a copy. I do this because well I don’t wanna fugg up the orginal file. but it makes step 4 necessary, which is probably a big pain.

run $ jupyter nbconvert --to script [YOUR_NOTEBOOK].ipynb

work on that, then copy/paste the code once you’re done. **Depending how much of a pain in this is, I might consider NOT doing step 2.

Practice being more pythonistic

Become handy with iterables, lambda functions & higher order functions (especially partial computing functions***), list comprehensions, maps, .etc. A good reference is the course python workbook ‘basics’ sections. 61A materia, especially 1.6 for higher order functions, gives more context.

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On the rudimentary methods, and understanding them:

“You will define what, where and how data are collected, transformed and loaded. Though we hear hearing everyday of AI and its endless possibilities there is still at least one thing they cannot do yet: decide the pipeline process.This means that you’ll need to manually pick every field, table, data source, transformation, join, etc. The good news is that if you do it right you’ll have to do it just once. Afterwards everything will be automated.“

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1/21/21 Thursday Wk1 Lec 2 && HW0

TODO: Make highlights of handwritten notes on 2.1 Sets and Algebras of Sets, Operations and Identities, and Idempotence

TODO: Make notes on hw0. numerical computing in python/lambda functions/resources && concerns && acceptable solutions. USE NP and math and other libraries freely :D