I like what you've written here. If you write stuff elsewhere, please put a pointer in your HN profile. Judging by your influences as an architect, I think you would enjoy these books: - Ronald Ross, Principles of the…
> You will never understand every detail of the implementation of every level on that stack; but you can understand all of them to some level of abstraction, and any specific layer to essentially any depth necessary for…
> (1 - 2e-6)^(3e6) ≈ 0.002 Using the binomial directly is a good way to get the probability of 0 heads. Note, though, that the U.S. population is in the neighborhood of 300 million, not 3 million (as you seem to have…
> Since 0 is about 25 standard deviations from the mean, the probability of seeing 0 heads is on the order of 10⁻¹³⁸. Note: the above figure comes from the normal approximation to the binomial, which loses accuracy…
This is like having a weighted coin that comes up heads with probability 2⋅10⁻⁶, flipping it 311 million times, and seeing 0 heads. That's astronomically unlikely. To see this, observe that the number of heads follows a…
You could also replace % with 10⁻² and use scientific notation: 0.72% ⋅ 0.03% = 0.72 ⋅ 10⁻² ⋅ 0.03 ⋅ 10⁻² = 7.2 ⋅ 10⁻³ ⋅ 3 ⋅ 10⁻⁴ = 7.2 ⋅ 3 ⋅ 10⁻³ ⋅ 10⁻⁴ = 21.6 ⋅ 10⁻⁷ = 2.16 ⋅ 10⁻⁶ ≈ 2 in 1 million
Never use a macro to do an inline function’s job.
It’s correct to regard trees, but not people, as products of their environment. Trees don’t make choices. People do.
> 1 Introduction > The increased availability of data linking students to teachers has made it possible to estimate the contribution teachers make to student achievement. There was some data available before (or the…
I like what you've written here. If you write stuff elsewhere, please put a pointer in your HN profile. Judging by your influences as an architect, I think you would enjoy these books: - Ronald Ross, Principles of the…
> You will never understand every detail of the implementation of every level on that stack; but you can understand all of them to some level of abstraction, and any specific layer to essentially any depth necessary for…
> (1 - 2e-6)^(3e6) ≈ 0.002 Using the binomial directly is a good way to get the probability of 0 heads. Note, though, that the U.S. population is in the neighborhood of 300 million, not 3 million (as you seem to have…
> Since 0 is about 25 standard deviations from the mean, the probability of seeing 0 heads is on the order of 10⁻¹³⁸. Note: the above figure comes from the normal approximation to the binomial, which loses accuracy…
This is like having a weighted coin that comes up heads with probability 2⋅10⁻⁶, flipping it 311 million times, and seeing 0 heads. That's astronomically unlikely. To see this, observe that the number of heads follows a…
You could also replace % with 10⁻² and use scientific notation: 0.72% ⋅ 0.03% = 0.72 ⋅ 10⁻² ⋅ 0.03 ⋅ 10⁻² = 7.2 ⋅ 10⁻³ ⋅ 3 ⋅ 10⁻⁴ = 7.2 ⋅ 3 ⋅ 10⁻³ ⋅ 10⁻⁴ = 21.6 ⋅ 10⁻⁷ = 2.16 ⋅ 10⁻⁶ ≈ 2 in 1 million
Never use a macro to do an inline function’s job.
It’s correct to regard trees, but not people, as products of their environment. Trees don’t make choices. People do.
> 1 Introduction > The increased availability of data linking students to teachers has made it possible to estimate the contribution teachers make to student achievement. There was some data available before (or the…