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Poor Man’s Photoshop on Tumblr
Figure 6.2: We can compute the area of a rectangle without any calculus ...
Figure 4.5: Not getting lost at sea would be easy if only we could ...
Figure 4.13: Zooming in after having made an infinitely small change in ...
Figure 1.3: Whatever we...
Let’s see where this choice gets us, if anywhere. Picking up where we ...
Imagine applying the obvious law of tearing things to the far right ...
Making Tiny Changes to a Square:
Figure 1.11: By writing the area of the whole thing in two different ...
Figure 2.2: The steepness
We can rewrite the same thing this way:
There’s a picture of this idea in Figure 2.1.
Figure 1.12: Our imaginary light clock consists of two mirrors, one ...
Figure 4.12: Delusionally trying to differentiate V and H , even though ...
The Simple Anti-Hammer for Multiplication
Here’s where we use the formula for shortcut distances. Since ...
if we do this:
V (2 ℓ , α)
Figure 1.1: One of our machines.
The Machine M ( x ) ≡ x 3
Figure 1.5: This is...
Figure 4.4: We need to figure out how to combine information about ...
OR EQUIVALENTLY,
c 2 (♣ − ♠) = ( c 2 − s 2 )
Figure 6.4: Two machines, chosen randomly. On the left, the tiny ...
Author: Oh.
Reader: How high does the sum go?
THAT’S AN UNPLEASANTLY LARGE DESCRIPTION. I’LL REWRITE IT LIKE THIS:
Figure .2: Using the formula for shortcut distances twice lets us build ...
Figure 1.7: The obvious...
when N = 1,000,000,000
BURNS, CALCULATION OF BURNS, CALCULATION OF FLUID REQUIREMENT AND ...
Figure 1.4: This is...
Ironically, this seems to be more common in advanced books than it is ...
, it rules out , it rules out , and anything else that isn’t zero for ...
What’s going on here? Let’s translate it.
This might work for any number of machines, but we don’t know yet:
S ( n ) ≡ “The ‘everyone gets a turn to be primed’ pattern for the ...
Now, it turns out that this machine m can be thought of as arising from ...
Reader: I’m back! And I think it worked. I got that the machine H can ...
These two expressions both agreed that the number e was approximately e ...
Figure 1.9: This is not a caption.
Mathematics: ALRIGHT, WELL OUR NOSTALGIA DEVICE TELLS US THAT
6.2.2Fundamentally Hammering Lines
The first piece
Taking the square root 15 of both sides, and using the fact that t ...
If we think of m this way, then we can pull the following tricky move ...
Figure 4.7: Now that we know what angles are, we can redraw the ...
, as well as largely uninterested in doing so.
The Pieces: # x n
What Happens If a School Burns Down: A Comprehensive Guide - Truth in ...
( The familiar rumbling noise is heard again. The intensity of the ...
A.T.’s partner Sil then helped us compute specific numbers for these ...
The Result of Zooming In Infinitely Far:
are, if the machine M describes a line, then we want it to be true that
This gave us a way of thinking about the “natural logarithm” q as an ...
f ( x ) = c x
Author: Hey! Then there’s an e x on the far left and on the far right ...
By a huge stroke of luck, everything collapses into simplicity when we ...
to be
Reader: And that’s exactly the same as what the Nostalgia Device spat ...
where the symbol
( Mathematics begins a ((fairly) lengthy)(optional(!))(semi-)digression. )
Now, just like before, let’s think in terms of bags. This time we have ...
The first way of looking at this is the usual way: “graphing” M ( x ) ≡ ...
Trying It Out on a Genuinely Curvy Thing
What’s that [ H −1 ]′ piece? It’s easier to see by lying and correcting ...
Following the convention we’ve been using since Chapter 4, the ...
As before, simply perform the familiar operations of single-variable ...
f ( x ) ≡ x 2 − 6 x + 9
