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Bullet journaling

Discovered by a person with #ADHD.

— Write all notes in list format
— Un-actionable stuff is marked by a hyphen
· Actionable stuff (To-Dos) are marked by a bullet
X To mark a To-Do as finished, cross out its bullet
> To indicate that you've moved a To-Do to a later
  date, turn the bullet into this
— You can "neutralize" a To-Do by striking it out
  so it's a hyphen
— Before deciding whether or not a thought is
  actionable, you can just draw a bullet at first,
  and turn it into a hyphen after writing out the
  text and realizing it's non-actionable.

20 Jan
— Every day starts a new list, like this.
— You only skim back on past pages to find
  uncompleted To-Dos
— You also have "month overview" pages or half-year
  overviews( ??? read more)
Created (3 years ago)

Sourcing bicycle parts

Bicycle things that must typically be bought anew (hard to find at junkyards)

  • chain
  • brake wire
  • bar tape
  • oil
  • cleaning supplies
  • rust treatment and new paint

Bicycle parts that would be great to hoard

  • tube valve parts
  • nuts and screws in common sizes
  • any little parts

What links here

Created (3 years ago)

Joint probability distribution

#statistics

Given random variables X,Y,…, a JPD is the distribution that gives the probability that each of X,Y,… fall in any particular range. In the case of only two random variables, this is called a bivariate distribution, which can be visualized three-dimensionally; with more, it is a multivariate distribution.

Much like any probability distribution, the input is a sample space and the output is a probability, and it can be expressed either in terms of a joint PDF or a joint CDF. These can in turn be used to find the marginal distribution for any specific variable, and the conditional distribution giving the probs for any subset of the variables conditional on particular values of the remaining variables.

What links here

Created (3 years ago)

Power law vs exponential

#statistics

  • Exponential: (constant)x
  • Power law: x(constant)

Power law distributions are fractal. Twice as wealthy is half as likely, or whatever the constant you use.

Exponentials decay faster than power laws. In an exponential based on 0.5x, every increase of x by one point halves the probability, whereas in a power law based on x0.5, you need greater increases of x to halve the probability. Pareto distributions in particular have a property called . . .

The Pareto distribution is related to the exponential distribution as follows. If X is Pareto-distributed with minimum xm and index α, then

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is exponentially distributed with rate parameter α. Equivalently, if Y is exponentially distributed with rate α, then

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is Pareto-distributed with minimum xm and index α.

This can be shown using the standard change-of-variable techniques:

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The last expression is the cumulative distribution function of an exponential distribution with rate α.

Created (3 years ago)
Showing 288 to 291