Basis Lab

Reading the Notation

Reading One Real Formula All the Way Through

Last timeThe Alphabet Everyone Assumes

One line from a real paper, taken apart with everything this course has covered, and then put back together as a sentence anybody could say out loud.

Everything in this course has been preparation for one page. Here is a line

from a real paper, of the kind that appears in the first few pages of a great

many of them, and we are going to read all of it.

L(θ)=−1n∑i=1nlog⁡exp⁡(zyi)∑k=1Kexp⁡(zk),z=Wϕ(xi)+b,θ=(W,b)L(\theta) = -\frac{1}{n} \sum_{i=1}^{n} \log \frac{\exp\left(z_{y_i}\right)}{\sum_{k=1}^{K} \exp\left(z_k\right)}, \qquad z = W \phi(x_i) + b, \qquad \theta = (W, b)

If that looks like a lot, note that every single mark in it has appeared in one

of the previous seven lessons. There is nothing new here. What is new is doing

all of it at once, which is the only thing that was ever difficult.

Step one: the inventory

Before trying to understand anything, list the letters. This takes two minutes

and it is the difference between reading a sentence and decoding one.

The lesson stops here

7 more paragraphs to go

You have read the opening. The rest of the argument, the problems that check whether it landed, and the lines worth keeping at the end all come with a plan.

The first lesson of every course in the library reads the whole way through, free, so you can see exactly what the rest of them are.

See the planThe contents

This is the reading half

Starting the course gives you your own copy of it. Every idea on every page has problems standing under it, marked with a reason rather than a tick, and any sentence you do not believe can be opened and argued with. None of that can happen on a page nobody owns.

The contents

The rest of this course

  1. 01A Letter Is Standing In For Something
  2. 02Something In, Something Outopening only
  3. 03The Sum Sign Is a Loopopening only
  4. 04Numbering Thingsopening only
  5. 05Products, Powers and Rootsopening only
  6. 06Four Different Equals Signsopening only
  7. 07The Alphabet Everyone Assumesopening only
  8. 08Reading One Real Formula All the Way Throughyou are here

Read alongside