Example: <formula> (formula)
These search results reproduce every example of the use of <formula> in the Guidelines, including all localised and translated versions. In some cases, the examples have been drawn from discussion of other elements in the Guidelines and illustrating the use of <formula> is not the main focus of the passage in question. In other cases, examples may be direct translations of each other, and hence identical from the perspective of their encoding.
15 Tables, Formulæ, Graphics, and Notated Music
15.2 Formulæ and Mathematical Expressions
15.2 Formulæ and Mathematical Expressions
15.2 Formulæ and Mathematical Expressions
<p>Achilles runs ten times faster than the tortoise and gives the
animal a headstart of ten meters. Achilles runs those ten meters, the
tortoise one; Achilles runs that meter, the tortoise runs a decimeter;
Achilles runs that decimeter, the tortoise runs a centimeter; Achilles
runs that centimeter, the tortoise, a millimeter; Fleet-footed
Achilles, the millimeter, the tortoise, a tenth of a millimeter, and
so on to infinity, without the tortoise ever being overtaken. . . Such
is the customary version.
<!-- ... --> The problem does not change, as
you can see; but I would like to know the name of the poet who
provided it with a hero and a tortoise. To those magical competitors
and to the series <formula notation="TeX">$$ {1 \over 10} + {1 \over
100} + {1 \over 1000} + {1 \over 10,\!000} + \dots $$</formula> the
argument owes its fame.</p>
animal a headstart of ten meters. Achilles runs those ten meters, the
tortoise one; Achilles runs that meter, the tortoise runs a decimeter;
Achilles runs that decimeter, the tortoise runs a centimeter; Achilles
runs that centimeter, the tortoise, a millimeter; Fleet-footed
Achilles, the millimeter, the tortoise, a tenth of a millimeter, and
so on to infinity, without the tortoise ever being overtaken. . . Such
is the customary version.
<!-- ... --> The problem does not change, as
you can see; but I would like to know the name of the poet who
provided it with a hero and a tortoise. To those magical competitors
and to the series <formula notation="TeX">$$ {1 \over 10} + {1 \over
100} + {1 \over 1000} + {1 \over 10,\!000} + \dots $$</formula> the
argument owes its fame.</p>
15.2 Formulæ and Mathematical Expressions
<p>The volume of a sphere
is given by the formula: <formula xml:id="f12" n="12" rend="inline">
<m:math>
<m:mi>V</m:mi>
<m:mo>=</m:mo>
<m:mfrac>
<m:mrow>
<m:mn>4</m:mn>
</m:mrow>
<m:mrow>
<m:mn>3</m:mn>
</m:mrow>
</m:mfrac>
<m:mi>π</m:mi>
<m:msup>
<m:mrow>
<m:mi>r</m:mi>
</m:mrow>
<m:mrow>
<m:mn>3</m:mn>
</m:mrow>
</m:msup>
</m:math>
</formula> which is readily calculated.</p>
<p>As we have seen in equation <ptr target="#f12"/>, ... </p>
is given by the formula: <formula xml:id="f12" n="12" rend="inline">
<m:math>
<m:mi>V</m:mi>
<m:mo>=</m:mo>
<m:mfrac>
<m:mrow>
<m:mn>4</m:mn>
</m:mrow>
<m:mrow>
<m:mn>3</m:mn>
</m:mrow>
</m:mfrac>
<m:mi>π</m:mi>
<m:msup>
<m:mrow>
<m:mi>r</m:mi>
</m:mrow>
<m:mrow>
<m:mn>3</m:mn>
</m:mrow>
</m:msup>
</m:math>
</formula> which is readily calculated.</p>
<p>As we have seen in equation <ptr target="#f12"/>, ... </p>
<formula notation="mathml">
<m:math>
<m:mi>E</m:mi>
<m:mo>=</m:mo>
<m:mi>m</m:mi>
<m:msup>
<m:mrow>
<m:mi>c</m:mi>
</m:mrow>
<m:mrow>
<m:mn>2</m:mn>
</m:mrow>
</m:msup>
</m:math>
</formula>
<m:math>
<m:mi>E</m:mi>
<m:mo>=</m:mo>
<m:mi>m</m:mi>
<m:msup>
<m:mrow>
<m:mi>c</m:mi>
</m:mrow>
<m:mrow>
<m:mn>2</m:mn>
</m:mrow>
</m:msup>
</m:math>
</formula>
11 Manuscript Description
<collation>
<p>
<formula>1-3:8, 4:6, 5-13:8</formula>
</p>
</collation>
<collation>
<p>There are now four gatherings, the first, second and fourth originally
consisting of eight leaves, the third of seven. A fifth gathering thought to
have followed has left no trace. <list>
<item>Gathering I consists of 7 leaves, a first leaf, originally conjoint with
<locus>fol. 7</locus>, having been cut away leaving only a narrow strip along
the gutter; the others, <locus>fols 1</locus> and <locus>6</locus>,
<locus>2</locus> and <locus>5</locus>, and <locus>3</locus> and
<locus>4</locus>, are bifolia.</item>
<item>Gathering II consists of 8 leaves, 4 bifolia.</item>
<item>Gathering III consists of 7 leaves; <locus>fols 16</locus> and
<locus>22</locus> are conjoint, the others singletons.</item>
<item>Gathering IV consists of 2 leaves, a bifolium.</item>
</list>
</p>
</collation>
<collation>
<p>I (1, 2+9, 3+8, 4+7, 5+6, 10); II (11, 12+17, 13, 14, 15, 16, 18,
19).</p>
</collation>
<collation>
<p>
<formula>1-5.8 6.6 (catchword, f. 46, does not match following text) 7-8.8
9.10, 11.2 (through f. 82) 12-14.8 15.8(-7)</formula>
</p>
</collation>
<p>
<formula>1-3:8, 4:6, 5-13:8</formula>
</p>
</collation>
<collation>
<p>There are now four gatherings, the first, second and fourth originally
consisting of eight leaves, the third of seven. A fifth gathering thought to
have followed has left no trace. <list>
<item>Gathering I consists of 7 leaves, a first leaf, originally conjoint with
<locus>fol. 7</locus>, having been cut away leaving only a narrow strip along
the gutter; the others, <locus>fols 1</locus> and <locus>6</locus>,
<locus>2</locus> and <locus>5</locus>, and <locus>3</locus> and
<locus>4</locus>, are bifolia.</item>
<item>Gathering II consists of 8 leaves, 4 bifolia.</item>
<item>Gathering III consists of 7 leaves; <locus>fols 16</locus> and
<locus>22</locus> are conjoint, the others singletons.</item>
<item>Gathering IV consists of 2 leaves, a bifolium.</item>
</list>
</p>
</collation>
<collation>
<p>I (1, 2+9, 3+8, 4+7, 5+6, 10); II (11, 12+17, 13, 14, 15, 16, 18,
19).</p>
</collation>
<collation>
<p>
<formula>1-5.8 6.6 (catchword, f. 46, does not match following text) 7-8.8
9.10, 11.2 (through f. 82) 12-14.8 15.8(-7)</formula>
</p>
</collation>
<collation> (fr)
<collation>
<p>
<formula>1-5.8 6.6 (catchword, f. 46, does not match following text) 7-8.8 9.10, 11.2
(through f. 82) 12-14.8 15.8(-7)</formula>
<catchwords>Catchwords are written horizontally in center or towards the right lower
margin in various manners: in red ink for quires 1-6 (which are also signed in red ink
with letters of the alphabet and arabic numerals); quires 7-9 in ink of text within
yellow decorated frames; quire 10 in red decorated frame; quire 12 in ink of text;
quire 13 with red decorative slashes; quire 14 added in cursive hand.</catchwords>
</p>
</collation>
<p>
<formula>1-5.8 6.6 (catchword, f. 46, does not match following text) 7-8.8 9.10, 11.2
(through f. 82) 12-14.8 15.8(-7)</formula>
<catchwords>Catchwords are written horizontally in center or towards the right lower
margin in various manners: in red ink for quires 1-6 (which are also signed in red ink
with letters of the alphabet and arabic numerals); quires 7-9 in ink of text within
yellow decorated frames; quire 10 in red decorated frame; quire 12 in ink of text;
quire 13 with red decorative slashes; quire 14 added in cursive hand.</catchwords>
</p>
</collation>
<collation>
<p>
<formula>1-5.8 6.6 (catchword, f. 46, does not match following text)
7-8.8 9.10, 11.2 (through f. 82) 12-14.8 15.8(-7)</formula>
<catchwords>Catchwords are written horizontally in center
or towards the right lower margin in various manners:
in red ink for quires 1-6 (which are also signed in red
ink with letters of the alphabet and arabic numerals);
quires 7-9 in ink of text within yellow decorated frames;
quire 10 in red decorated frame; quire 12 in ink of text;
quire 13 with red decorative slashes; quire 14 added in
cursive hand.</catchwords>
</p>
</collation>
<p>
<formula>1-5.8 6.6 (catchword, f. 46, does not match following text)
7-8.8 9.10, 11.2 (through f. 82) 12-14.8 15.8(-7)</formula>
<catchwords>Catchwords are written horizontally in center
or towards the right lower margin in various manners:
in red ink for quires 1-6 (which are also signed in red
ink with letters of the alphabet and arabic numerals);
quires 7-9 in ink of text within yellow decorated frames;
quire 10 in red decorated frame; quire 12 in ink of text;
quire 13 with red decorative slashes; quire 14 added in
cursive hand.</catchwords>
</p>
</collation>