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Contents
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(Top)
1
Foreword & Introduction
2
Arithmetic
3
Algebra
4
Analysis
5
Geometry
6
Apsara Tahimata
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User
:
GX, May 1971/Math
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From Wikipedia, the free encyclopedia
<
User:GX, May 1971
Foreword & Introduction
[
edit
]
Joshua King
came to
Cambridge
from
Hawkshead Grammar School
. It was soon evident that the
school had produced someone of importance. He became
Senior Wrangler
, and his reputation in
Cambridge
was immense. It was believed that nothing less than a Second
Newton
had appeared.
They expected his work as a mathematician to make an epoch in the science. At an early age he
became
President of Queens’
; later, he was
Lucasian Professor
. He published nothing; in fact,
he did no mathematical work. But as long as he kept his health, he was an active and prominent
figure in
Cambridge
, and he maintained his enormous reputation. When he died, it was felt that
the memory of such an extraordinary man should not be permitted to die out, and that his papers
should be published. So his papers were examined, and nothing whatever worth publishing was
found.
——————————————————————————————————————————————————
Arithmetic
[
edit
]
N
⊂
Z
⊂
Q
⊂
R
⊂
C
π
>
e
>
φ
>
2
{\displaystyle \mathbb {N} \ \subset \ \mathbb {Z} \ \subset \ \mathbb {Q} \ \subset \ \mathbb {R} \ \subset \ \mathbb {C} \qquad \qquad \qquad \pi \ >\ e\ >\ \varphi \ >\ {\sqrt {2}}}
——————————————————————————————————————————————————
Algebra
[
edit
]
x
=
−
b
a
x
=
−
b
±
b
2
−
4
a
c
2
a
{\displaystyle x\ =\ -\,{\frac {b}{a}}\qquad \qquad \qquad \qquad \qquad \qquad \quad \ x\ =\ {\frac {-\,b\ \pm \ {\sqrt {b^{2}\ -\ 4ac}}}{2a}}}
x
=
−
q
2
+
(
q
2
)
2
+
(
p
3
)
3
3
+
−
q
2
−
(
q
2
)
2
+
(
p
3
)
3
3
{\displaystyle x\ =\ {\sqrt[{3\,}]{-\ {\frac {q}{2}}\ +\ {\sqrt {\left({\frac {q}{2}}\right)^{2}\ +\ \left({\frac {p}{3}}\right)^{3}}}}}\ +\ {\sqrt[{3\,}]{-\ {\frac {q}{2}}\ -\ {\sqrt {\left({\frac {q}{2}}\right)^{2}\ +\ \left({\frac {p}{3}}\right)^{3}}}}}}
——————————————————————————————————————————————————
Analysis
[
edit
]
——————————————————————————————————————————————————
Geometry
[
edit
]
——————————————————————————————————————————————————
Apsara Tahimata
[
edit
]
×
1
{\displaystyle \mathbf {{_{^{\times }}}1} }
+
12
{\displaystyle \mathbf {{_{^{+}}}12} }
×
12
{\displaystyle \mathbf {{_{^{\times }}}12} }
×
12
2
{\displaystyle \mathbf {{_{^{\times }}}12^{2}} }
——————————————————————————————————————————————————
1.
{\displaystyle \scriptstyle \mathbf {1.} }
m
l
e
n
{\displaystyle \scriptstyle \mathbf {mlen} }
u
p
a
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {upa{\underset {^{,}}{t}}ven} }
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}ven} }
t
,
v
e
n
d
i
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}vendi} }
2.
{\displaystyle \scriptstyle \mathbf {2.} }
d
r
e
n
{\displaystyle \scriptstyle \mathbf {dren} }
d
r
e
n
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {dren{\underset {^{,}}{t}}ven} }
v
d
e
z
d
a
{\displaystyle \scriptstyle \mathbf {vdezda} }
d
r
e
n
d
o
v
o
{\displaystyle \scriptstyle \mathbf {drendovo} }
3.
{\displaystyle \scriptstyle \mathbf {3.} }
g
a
f
e
n
{\displaystyle \scriptstyle \mathbf {gafen} }
g
f
e
n
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {gfen{\underset {^{,}}{t}}ven} }
g
f
e
n
d
i
{\displaystyle \scriptstyle \mathbf {gfendi} }
g
f
e
n
d
o
v
o
{\displaystyle \scriptstyle \mathbf {gfendovo} }
4.
{\displaystyle \scriptstyle \mathbf {4.} }
c
ˇ
f
e
u
{\displaystyle \scriptstyle \mathbf {{\check {c}}feu} }
c
ˇ
f
e
u
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {{\check {c}}feu{\underset {^{,}}{t}}ven} }
c
ˇ
f
e
n
d
i
{\displaystyle \scriptstyle \mathbf {{\check {c}}fendi} }
g
ˇ
v
e
n
d
o
v
o
{\displaystyle \scriptstyle \mathbf {{\check {g}}vendovo} }
5.
{\displaystyle \scriptstyle \mathbf {5.} }
h
a
t
o
r
{\displaystyle \scriptstyle \mathbf {hator} }
h
a
t
o
r
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {hator{\underset {^{,}}{t}}ven} }
h
a
t
o
r
d
i
{\displaystyle \scriptstyle \mathbf {hatordi} }
h
a
t
o
r
d
v
o
{\displaystyle \scriptstyle \mathbf {hatordvo} }
6.
{\displaystyle \scriptstyle \mathbf {6.} }
c
ˇ
a
l
s
ˇ
{\displaystyle \scriptstyle \mathbf {{\check {c}}al{\check {s}}} }
c
ˇ
l
a
s
ˇ
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}{\underset {^{,}}{t}}ven} }
c
ˇ
l
a
s
ˇ
d
i
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}di} }
c
ˇ
l
a
s
ˇ
d
o
v
o
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}dovo} }
7.
{\displaystyle \scriptstyle \mathbf {7.} }
m
e
g
l
a
n
{\displaystyle \scriptstyle \mathbf {meglan} }
m
e
g
l
a
n
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {meglan{\underset {^{,}}{t}}ven} }
m
e
g
l
a
n
d
i
{\displaystyle \scriptstyle \mathbf {meglandi} }
m
e
g
l
a
n
d
v
o
{\displaystyle \scriptstyle \mathbf {meglandvo} }
8.
{\displaystyle \scriptstyle \mathbf {8.} }
ð
r
a
t
{\displaystyle \eth \scriptstyle \mathbf {rat} }
ð
r
a
t
t
,
v
e
n
{\displaystyle \eth \scriptstyle \mathbf {rat{\underset {^{,}}{t}}ven} }
ð
r
a
t
t
v
i
{\displaystyle \eth \scriptstyle \mathbf {rattvi} }
ð
r
a
t
t
o
v
o
{\displaystyle \eth \scriptstyle \mathbf {rattovo} }
9.
{\displaystyle \scriptstyle \mathbf {9.} }
m
r
a
v
e
n
{\displaystyle \scriptstyle \mathbf {mraven} }
m
r
a
v
e
n
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {mraven{\underset {^{,}}{t}}ven} }
m
r
a
v
d
i
{\displaystyle \scriptstyle \mathbf {mravdi} }
m
r
a
v
d
o
v
o
{\displaystyle \scriptstyle \mathbf {mravdovo} }
10.
{\displaystyle \scriptstyle \mathbf {10.} }
b
e
z
d
{\displaystyle \scriptstyle \mathbf {bezd} }
b
e
z
d
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {bezd{\underset {^{,}}{t}}ven} }
b
e
z
d
v
i
{\displaystyle \scriptstyle \mathbf {bezdvi} }
b
e
z
d
o
v
o
{\displaystyle \scriptstyle \mathbf {bezdovo} }
11.
{\displaystyle \scriptstyle \mathbf {11.} }
b
−
a
t
e
r
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,ater} }
b
−
a
t
e
r
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,ater{\underset {^{,}}{t}}ven} }
b
−
a
t
e
r
d
i
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,aterdi} }
b
−
a
t
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,aterdvo} }
12.
{\displaystyle \scriptstyle \mathbf {12.} }
t
,
v
e
n
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}ven} }
v
d
e
z
d
a
{\displaystyle \scriptstyle \mathbf {vdezda} }
t
,
v
e
n
d
i
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}vendi} }
t
,
v
e
n
d
o
v
o
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}vendovo} }
——————————————————————————————————————————————————
×
12
3
{\displaystyle \mathbf {{_{^{\times }}}12^{3}} }
×
12
4
{\displaystyle \mathbf {{_{^{\times }}}12^{4}} }
×
12
5
{\displaystyle \mathbf {{_{^{\times }}}12^{5}} }
×
12
6
{\displaystyle \mathbf {{_{^{\times }}}12^{6}} }
——————————————————————————————————————————————————
1.
{\displaystyle \scriptstyle \mathbf {1.} }
t
,
v
e
n
d
o
v
o
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}vendovo} }
t
,
v
e
n
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}vendver} }
t
,
v
e
n
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}venderdi} }
t
,
v
e
n
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}venderdvo} }
2.
{\displaystyle \scriptstyle \mathbf {2.} }
d
r
e
n
d
v
e
r
{\displaystyle \scriptstyle \mathbf {drendver} }
d
r
e
n
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {drenderdi} }
d
r
e
n
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {drenderdvo} }
d
r
e
n
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {drenderdver} }
3.
{\displaystyle \scriptstyle \mathbf {3.} }
g
f
e
n
d
v
e
r
{\displaystyle \scriptstyle \mathbf {gfendver} }
g
f
e
n
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {gfenderdi} }
g
f
e
n
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {gfenderdvo} }
g
f
e
n
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {gfenderdver} }
4.
{\displaystyle \scriptstyle \mathbf {4.} }
g
ˇ
v
e
n
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\check {g}}vendver} }
g
ˇ
v
e
n
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {{\check {g}}venderdi} }
g
ˇ
v
e
n
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {{\check {g}}venderdvo} }
g
ˇ
v
e
n
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\check {g}}venderdver} }
5.
{\displaystyle \scriptstyle \mathbf {5.} }
h
a
t
o
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {hatordver} }
h
t
o
r
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {htorderdi} }
h
t
o
r
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {htorderdvo} }
h
t
o
r
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {htorderdver} }
6.
{\displaystyle \scriptstyle \mathbf {6.} }
c
ˇ
l
a
s
ˇ
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}dver} }
c
ˇ
l
a
s
ˇ
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}derdi} }
c
ˇ
l
a
s
ˇ
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}derdvo} }
c
ˇ
l
a
s
ˇ
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\check {c}}la{\check {s}}derdver} }
7.
{\displaystyle \scriptstyle \mathbf {7.} }
m
e
g
l
a
n
d
v
e
r
{\displaystyle \scriptstyle \mathbf {meglandver} }
m
l
e
g
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {mlegderdi} }
m
l
e
g
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {mlegderdvo} }
m
l
e
g
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {mlegderdver} }
8.
{\displaystyle \scriptstyle \mathbf {8.} }
ð
r
a
t
t
v
e
r
{\displaystyle \eth \scriptstyle \mathbf {rattver} }
ð
r
a
t
t
e
r
d
i
{\displaystyle \eth \scriptstyle \mathbf {ratterdi} }
ð
r
a
t
t
e
r
d
v
o
{\displaystyle \eth \scriptstyle \mathbf {ratterdvo} }
ð
r
a
t
t
e
r
d
v
e
r
{\displaystyle \eth \scriptstyle \mathbf {ratterdver} }
9.
{\displaystyle \scriptstyle \mathbf {9.} }
m
r
a
v
d
v
e
r
{\displaystyle \scriptstyle \mathbf {mravdver} }
m
r
a
v
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {mravderdi} }
m
r
a
v
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {mravderdvo} }
m
r
a
v
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {mravderdver} }
10.
{\displaystyle \scriptstyle \mathbf {10.} }
b
e
z
d
v
e
r
{\displaystyle \scriptstyle \mathbf {bezdver} }
b
e
z
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {bezderdi} }
b
e
z
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {bezderdvo} }
b
e
z
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {bezderdver} }
11.
{\displaystyle \scriptstyle \mathbf {11.} }
b
−
a
t
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,aterdver} }
b
−
t
e
r
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,terderdi} }
b
−
t
e
r
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,terderdvo} }
b
−
t
e
r
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {b\!\!\!^{-}\,terderdver} }
12.
{\displaystyle \scriptstyle \mathbf {12.} }
t
,
v
e
n
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}vendver} }
t
,
v
e
n
d
e
r
d
i
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}venderdi} }
t
,
v
e
n
d
e
r
d
v
o
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}venderdvo} }
t
,
v
e
n
d
e
r
d
v
e
r
{\displaystyle \scriptstyle \mathbf {{\underset {^{,}}{t}}venderdver} }
——————————————————————————————————————————————————
Toggle limited content width
![{\displaystyle x\ =\ {\sqrt[{3\,}]{-\ {\frac {q}{2}}\ +\ {\sqrt {\left({\frac {q}{2}}\right)^{2}\ +\ \left({\frac {p}{3}}\right)^{3}}}}}\ +\ {\sqrt[{3\,}]{-\ {\frac {q}{2}}\ -\ {\sqrt {\left({\frac {q}{2}}\right)^{2}\ +\ \left({\frac {p}{3}}\right)^{3}}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/54c4e02a6ebd1074ef5ab6b08bd227c2b52a188f)
