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| − | {{comic
| + | Friends, Romans, countrymen, lend me your ears; |
| − | | number = 2614
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| − | | date = May 2, 2022
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| − | | title = 2
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| − | | image = 2.png
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| − | | titletext = It's like sigma summation notation, except instead of summing the argument over all values of i, you 2 the argument over all values of 2.
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| − | }}
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| − | ==Explanation==
| + | I come to bury Caesar, not to praise him. |
| − | {{incomplete|Created by 2 squared - Please change this comment when editing this page. The titletext needs to be worked in there, but I think I got everything else in some sort of order, pending general improvements. Do NOT delete this tag too soon.}}
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| − | This demonstrates the different ways in which the number 2 can be typeset in various scientific fields.
| + | The evil that men do lives after them; |
| | + | |
| | + | The good is oft interred with their bones; |
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| − | The dotted box represents any character (presumably a letter or bigram of letters). All the other notation consists only of the digit 2, in various fashions with occasional additional punctuation, and labelled as to what the 'purpose' might normally be of any particular element(s) as indicated, with respect to the general term, in the following fashions:
| + | So let it be with Caesar. The noble Brutus |
| − | ;Regular Math
| + | |
| − | :Precedes the term. "2x" indicates two times the value of ''x'' in normal {{w|algebra|algebraic}} use that should be familiar for many people. {{Citation needed}}
| + | Hath told you Caesar was ambitious: |
| − | ;Physics
| + | |
| − | :A preceding superscript. "<sup>2</sup>H" would indicate the particular {{w|isotope}} of Hydrogen with the atomic weight of two, i.e. deuterium, which is most often encountered when working with the atomic level of matter where the total number of neutrons and protons in the atom is important. | + | If it were so, it was a grievous fault, |
| − | ;Chemical Physics
| + | |
| − | :A<sub>2</sub> or B<sub>2</sub> is the second virial coefficient. A preceding subscript, "<sub>2</sub>He" indicates the atomic number of an atom, which is the number of protons it contains, and thus a guide to the number of electrons its unionised form usually has and hence meaningful in its potential chemical interactions with other atoms. This should be invariant for any particular named element, but is usually given simultaneously with the presuperscripted mass number where it can be indicative of the applicable nuclear physics.
| + | And grievously hath Caesar answer’d it. |
| − | ;Regular Math or Footnotes
| + | |
| − | :A trailing superscript is typical of a {{w|Exponentiation|power value}}, in this case "x²" would be ''x'' multiplied by a second copy of itself, and a fairly typical mathematical standard.
| + | Here, under leave of Brutus and the rest– |
| − | :Additionally, superscripted numbers are one common way to mark words in a line of text in a way to refer to a {{w|Note (typography)|footnote}}, typically placed at the bottom of the page, with additional information that would not be appropriate or easily comprehendable to edit into the main text itself. The ambiguity between footnotes and exponents was used in [[1184: Circumference Formula]]
| + | |
| − | ;Chemistry
| + | For Brutus is an honourable man; |
| − | :A trailing subscript is used in chemistry to indicate a multiple of the element (or group of elements, in brackets) in a {{w|chemical formula}}. "H<sub>2</sub>O" indicates two hydrogen atoms bond with a single oxygen atom in a molecule of water.
| + | |
| − | ;Matrices!
| + | So are they all, all honourable men– |
| − | :Extending the trailing subscript with a comma-separated value usually indicates a multidimensional array (e.g. establishing a 2-by-2 square of numbers, or this particular position in such an array), which is in the realms of {{w|Matrix (mathematics)|matrix mathematics}}. This is a little bit beyond 'everyday algebra' for many people, as seemingly indicated by the exclamation of the mere mention of matrices!
| + | |
| − | ;The Physicists Are At It Again
| + | Come I to speak in Caesar’s funeral. |
| − | :This label encompasses a mark that turns the prior comma into a semicolon, as part of the trailing subscript. This is a common notation for the {{w|Covariant derivative}} of a tensor field, which is commonly used in the mathematics of general relativity.
| + | |
| − | ;Either High School Math Function or Incomprehensible Group Theory
| + | He was my friend, faithful and just to me: |
| − | :The number 2 in parentheses that follow a term would normally be the argument to a {{w|Function (mathematics)|function}}, e.g. "f(2)", which means that you should take the value (in this case 2) and find the result if manipulated by the predefined function ''f''. It is generally taught as part of algebraic mathematics already described, i.e. at {{w|Secondary school|High School}}.
| + | |
| − | :In {{w|group theory}}, however, the number 2 in parentheses could indicate a cyclic subgroup or ideal generated by two or a special case of cycle notation for elements of symmetry groups used to mean an element that keeps 2 fixed. This may be somewhat beyond high-school level.{{citation needed}}
| + | But Brutus says he was ambitious; |
| − | ;Oh no. Whatever this is, it's cursed. | + | |
| − | :A symbol centered underneath another symbol is normally reserved for doing summations, where the big symbol is Σ, or some other operation applied to a sequence of numbers.
| + | And Brutus is an honourable man. |
| − | :It does not make sense to have a single number there, as indicated in the alt text. As with [[2529: Unsolved Math Problems|other things]] in Randall's comic universe, the explanation for this particular anomaly is that it is 'Cursed'. The usage mentioned in the alt text is an operation (Σ, summation) over a variable usually indicated by a letter such as i, where the operation is performed over all values of the variable, i.e. you Σ the argument over all values of i. In the "2" case, the alt text says you "you 2 the argument over all values of 2", i.e. the Σ operation has been replaced by the "2" operation and the i variable has been replaced by the "2" variable. 2 is usually neither an operation, nor a variable (and definitely not both at the same time).
| + | |
| | + | He hath brought many captives home to Rome |
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| − | ==Transcript==
| + | Whose ransoms did the general coffers fill: |
| − | {{incomplete transcript|Do NOT delete this tag too soon.}}
| + | Did this in Caesar seem ambitious? |
| | | | |
| − | [An apparently scientific expression:]
| + | When that the poor have cried, Caesar hath wept: |
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| − | [normal text:] 2 [superscript behind the box:] 2 [subscript behind the box:] 2 [an empty box with a dotted outline] [superscript:] 2 [subscript:] 2;2 [normal text:] (2) [smaller and beneath the last 2:] 2
| + | Ambition should be made of sterner stuff: |
| | | | |
| − | ;[Captions above the numbers] | + | Yet Brutus says he was ambitious; |
| − | :[with an arrow pointing to the first 2:] Regular Math
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| − | :[with an arrow pointing to the behind superscript 2:] Physics
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| − | :[with an arrow pointing to the regular superscript 2:] Regular math or footnotes
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| − | :[with an arrow pointing to (2):] Either high school math functions or incomprehensible group theory
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| | | | |
| − | ;[Captions below the numbers]
| + | And Brutus is an honourable man. |
| − | :[with an arrow pointing to the behind subscript 2:] Chemical Physics
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| − | :[with an arrow pointing to the regular subscript 2:] Chemistry
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| − | :[with an arrow pointing to a grey circle around ";2":] The physicists are at it again
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| − | :[with an arrow pointing to a smaller grey circle inside the other circle that leaves out the dot of the semicolon:] Matrices!
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| − | :[with an arrow pointing to the 2 below the 2:] Oh no. Whatever this is, it's cursed.
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| − | {{comic discussion}}
| + | You all did see that on the Lupercal |
| − | [[Category:Math]]
| + | |
| − | [[Category:Physics]]
| + | I thrice presented him a kingly crown, |
| − | [[Category:Chemistry]]
| + | |
| | + | Which he did thrice refuse: was this ambition? |
| | + | |
| | + | Yet Brutus says he was ambitious; |
| | + | |
| | + | And, sure, he is an honourable man. |
| | + | |
| | + | I speak not to disprove what Brutus spoke, |
| | + | |
| | + | But here I am to speak what I do know. |
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| | + | You all did love him once, not without cause: |
| | + | |
| | + | What cause withholds you then, to mourn for him? |
| | + | |
| | + | O judgment! thou art fled to brutish beasts, |
| | + | |
| | + | And men have lost their reason. Bear with me; |
| | + | |
| | + | My heart is in the coffin there with Caesar, |
| | + | |
| | + | And I must pause till it come back to me. |
Friends, Romans, countrymen, lend me your ears;
I come to bury Caesar, not to praise him.
The evil that men do lives after them;
The good is oft interred with their bones;
So let it be with Caesar. The noble Brutus
Hath told you Caesar was ambitious:
If it were so, it was a grievous fault,
And grievously hath Caesar answer’d it.
Here, under leave of Brutus and the rest–
For Brutus is an honourable man;
So are they all, all honourable men–
Come I to speak in Caesar’s funeral.
He was my friend, faithful and just to me:
But Brutus says he was ambitious;
And Brutus is an honourable man.
He hath brought many captives home to Rome
Whose ransoms did the general coffers fill:
Did this in Caesar seem ambitious?
When that the poor have cried, Caesar hath wept:
Ambition should be made of sterner stuff:
Yet Brutus says he was ambitious;
And Brutus is an honourable man.
You all did see that on the Lupercal
I thrice presented him a kingly crown,
Which he did thrice refuse: was this ambition?
Yet Brutus says he was ambitious;
And, sure, he is an honourable man.
I speak not to disprove what Brutus spoke,
But here I am to speak what I do know.
You all did love him once, not without cause:
What cause withholds you then, to mourn for him?
O judgment! thou art fled to brutish beasts,
And men have lost their reason. Bear with me;
My heart is in the coffin there with Caesar,
And I must pause till it come back to me.
