Editing 2861: X Value

{{comic
| number    = 2861
| date      = November 29, 2023
| title     = X Value
| image     = x_value_2x.png
| imagesize = 291x192px
| noexpand  = true
| titletext = The value of n is still unknown, but new results constrain it to fall between 8 and 10^500, ruling out popular 'n=1' and 'n=2' theories.
}}

==Explanation==
In algebra, a {{w|Variable (mathematics)|variable}} is any symbol used to represent a number that has not been determined or chosen. The most familiar algebraic variable is ''x'' (the unknown input), with ''y'' often being the yet-to-be-determined output (its value being dependent on ''x''). According to the comic, the value of ''x'' has finally been found, being 4.1083.  The joke is that a general-purpose variable, which may take different values in different scenarios, turns out to have a specific value, as though it were a constant. Constants in mathematics and other scientific fields are also often represented by a single symbol - some of the most well-known are {{w|Pi|''π''}} (3.14159...), ''e'' ({{w|E (mathematical constant)|Euler's number}}, 2.71828...), ''i'' (an {{w|Imaginary unit}}, where i<sup>2</sup> = -1), and ''c'' (the {{w|speed of light}} in a vacuum, 299,792,458 m/s (670,616,629 mph, 1,079,252,848.8 km/h, 1.8026x10<sup>12</sup> {{w|FFF system|fur/ftn}})).

The specific number 4.1083 does not have any notable significance or special role in the contexts of physics, chemistry, finance, astronomy or cryptography. This number to 3 decimal places, 4.108, was referenced previously in comic [[899: Number Line]]. 

The '''title text''' declares the value of ''n'' is unknown. ''n'' is often used as an unknown/undetermined ''integer'' value. In {{w|Sampling (statistics)|statistics}}, it might be used to specify the size of a sample. For example, a list where ''n = 50'' would mean the list contains 50 data points, for which that number of iterations or a larger number of cross-comparisons might be expected.

According to the title text, however, the value of ''n'' ''has'' been narrowed down to somewhere between 8 and 10<sup>500</sup>, or one hundred quinsexagintacentillion. This narrowing-down isn't particularly narrow, although it is perhaps quite specific compared to the 'pre-narrowing' possibilities of being absolutely any finite value at all.

The title text also says that this narrowing has ruled out the (usually) simplest values of 1 or 2. Saying "n=1" or "n=2" is a popular way to disclaim or discredit a story implying causality. An anecdote followed by the disclaimer "n=1" typically involves a personal experience or observation that someone shares as a point of reference or evidence, but then acknowledges that it's just a single instance and may not be representative of a broader trend or truth. 

For example, someone might say, "I started eating a spoonful of honey every morning, and ever since then, I haven't caught a cold. It must be boosting my immune system." Then, realizing that this is just their personal experience, they add, "But of course, that's just my experience - n=1. It's not scientific evidence that honey prevents colds."

In this example, "n=1" is used to acknowledge that the claim is based on a single instance (n refers to the sample size in a study, with 1 indicating only one subject or data point) and may not be a reliable or generalizable conclusion.

If values of 1 or 2 have been ruled out, that implies that all causality claims based on observations technically have at least 8 observations (whether known or unknown). In the honey-cold example, that means at least 7 other people have had the same experience.

It is generally assumed that n is not one, as otherwise proving p = np would have been trivial.

==Transcript==
:[A math formula is circled.]
:<big><big>x = 4.1083</big></big>

:[Caption below the panel:]
: Big math news: They finally figured out the value of x.

{{comic discussion}}

[[Category:Math]]