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  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!!<<*!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!!<<*!|
  |1''|
  |b!@%___|
  |3b"6b!U|
  |M,6r;%14!\!!!!.8Ou6I!!!",!!!!&#Qau+!&_ZCL&_2R%<P$@F@CFnE^akU|
  |De*R"B)q'FR$n!T!$b''5u`*!A,QB,5Jnnb%@@@R!J;DO"qUeh)F+G@BE/VE|
  |!;bdZ#BD:sMZ<_W!(fUS7'8jaJcGcN|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~V?m0 (G)~p0
1 ~V?v0 ('j)~p0
1 ~V?m0 (M)~p0
1 ~V?m0 (B)~p0
1 ~V?m0 (A)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f276 (arccsc)~p0
2 ~V?f278 (arccot)~p0
2 ~V?f256 (sin)~p0
2 ~V?f257 (cos)~p0
2 ~V?f258 (tan)~p0
2 ~V?f261 (sec)~p0
2 ~V?f260 (csc)~p0
2 ~V?f262 (cot)~p0
2 ~V?f272 (arcsin)~p0
2 ~V?f273 (arccos)~p0
2 ~V?f274 (arctan)~p0
2 ~V?f277 (arcsec)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f309 (arcsech)~p0
2 ~V?f304 (arcsinh)~p0
2 ~V?f294 (coth)~p0
2 ~V?f310 (arccoth)~p0
2 ~V?f306 (arctanh)~p0
2 ~V?f293 (sech)~p0
2 ~V?f288 (sinh)~p0
2 ~V?f289 (cosh)~p0
2 ~V?f290 (tanh)~p0
2 ~V?f305 (arccosh)~p0
2 ~V?f308 (arccsch)~p0
2 ~V?f292 (csch)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Logarithms ,F Powers|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f32 (log)~p0
2 ~V?f307 (ln)~p0
2 ~V?f291 (exp)~p0
2 ~V?c2 (e)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Standard Rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Logarithms ,F Powers|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Ht(?x^(-?y)):(1/?x^?y)~p0
3 ~Hs(exp(?z)):(e^?z)~p0
3 ~Hs(e^(ln(?x))):(?x)~p0
3 ~Hs(10^(log(?x))):(?x)~p0
3 ~Hs(?y^(log_?y(?x))):(?x)~p0
3 ~Hs(ln(e^?x)):(?x)~p0
3 ~Hs(log(10^?x)):(?x)~p0
3 ~Hs(log_?y(?y^?x)):(?x)~p0
3 ~He(ln(?u*?v)):(ln(?u)+ln(?v))~p0
3 ~He(log(?u*?v)):(log(?u)+log(?v))~p0
3 ~He(log_?y(?u*?v)):(log_?y(?u)+log_?y(?v))~p0
3 ~He(ln(?u/?v)):(ln(?u)-ln(?v))~p0
3 ~He(log(?u/?v)):(log(?u)-log(?v))~p0
3 ~He(log_?y(?u/?v)):(log_?y(?u)-log_?y(?v))~p0
3 ~He(ln(?u^?v)):(?v*ln(?u))~p0
3 ~He(log(?u^?v)):(?v*log(?u))~p0
3 ~He(log_?y(?u^?v)):(?v*log_?y(?u))~p0
3 ~He(ln(sqrt(?u))):(1/2*ln(?u))~p0
3 ~He(log(sqrt(?u))):(1/2*log(?u))~p0
3 ~He(log_?y(sqrt(?u))):(1/2*log_?y(?u))~p0
3 ~He(?z^(?x+?y)):(?z^?x*?z^?y)~p0
3 ~He(?z^(?x-?y)):(?z^?x*?z^(-?y))~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})+# b$L" *|: ;bP7&c0!*Simplify ,M negation|
  | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(sin(-?x)):(-sin(?x))~p0
4 ~Hs(cos(-?x)):(cos(?x))~p0
4 ~Hs(tan(-?x)):(-tan(?x))~p0
4 ~Hs(sin('p)):(0)~p0
4 ~Hs(sin(?n*'p)):(0)~p0
4 ~Hs(cos(1/2*'p)):(0)~p0
4 ~Hs(cos(?n/2*'p)):(0)~p0
4 ~Hs(-(cos(?x))^2-(sin(?x))^2):(-1)~p0
4 ~Hs(cos('p/2)):(0)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b$L" *|: ;bP7&c0!*Transform to basic|
  | types}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht(tan(?x)):((sin(?x))/(cos(?x)))~p0
4 ~Ht(csc(?x)):(1/(sin(?x)))~p0
4 ~Ht(sin(?x)):(1/(csc(?x)))~p0
4 ~Ht(sec(?x)):(1/(cos(?x)))~p0
4 ~Ht(cos(?x)):(1/(sec(?x)))~p0
4 ~Ht(cot(?x)):((cos(?x))/(sin(?x)))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Trig Addition|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht(cos(?x+?y)):(cos(?x)*cos(?y)-sin(?x)*sin(?y))~p0
4 ~Ht(sin(?x+?y)):(cos(?x)*sin(?y)+sin(?x)*cos(?y))~p0
4 ~Ht(cos(2*?x)):(2*(cos(?x))^2-1)~p0
4 ~Ht(sin(2*?x)):(2*cos(?x)*sin(?x))~p0
4 ~Ht(sin(?n*?x)):(cos((?n-1)*?x)*sin(?x)+cos(?x)*~
 sin((?n-1)*?x))~p0
4 ~Ht(cos(?n*?x)):(cos(?x)*cos((?n-1)*?x)-sin(?x)*~
 sin((?n-1)*?x))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})/# b$L" *|: ;bP7&c0!*Transform ,M into|
  | another flavor of trig function}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((sin(?x))^2):(1-(cos(?x))^2)~p0
4 ~Ht((cos(?x))^2):(1-(sin(?x))^2)~p0
4 ~Ht((tan(?x))^2):((sec(?x))^2-1)~p0
4 ~Ht((sec(?x))^2):((tan(?x))^2+1)~p0
4 ~Ht((csc(?x))^2):((cot(?x))^2+1)~p0
4 ~Ht((cot(?x))^2):((csc(?x))^2-1)~p0
4 ~Hs((sin(?x))^2+(cos(?x))^2):(1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})b @# b%4" *|: ;bP7&c0!*substituting |
  |z,]tan,Hx,O2,I into a rational function in sin,Hx,I and cos,H|
  |x,I}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(cos(2*arctan(?z))):((1-?z^2)/(1+?z^2))~p0
4 ~Hs(sin(2*arctan(?z))):(2*?z/(1+?z^2))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Other rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((cos(?x))^2):(1/2*(cos(2*?x)+1))~p0
4 ~Ht((sin(?x))^2):(1/2*(-cos(2*?x)+1))~p0
4 ~Ht(cos(?x)*sin(?x)):(1/2*sin(2*?x))~p0
4 ~Hs(sin(arccos(?x))):(sqrt(-?x^2+1))~p0
4 ~Hs(cos(arcsin(?x))):(sqrt(-?x^2+1))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b!T" *|: ;bP7&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})+# b$L" *|: ;bP7&c0!*Simplify ,M negation|
  | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(sinh(-?x)):(-sinh(?x))~p0
4 ~Hs(cosh(-?x)):(cosh(?x))~p0
4 ~Hs(tanh(-?x)):(-tanh(?x))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b$L" *|: ;bP7&c0!*Transform into |
  |other types}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((sinh(?x))^2):((cosh(?x))^2-1)~p0
4 ~Ht((cosh(?x))^2):(1+(sinh(?x))^2)~p0
4 ~Ht((tanh(?x))^2):(1-(sech(?x))^2)~p0
4 ~Ht(sinh(?x)):((e^?x-e^(-?x))/2)~p0
4 ~Ht(cosh(?x)):((e^?x+e^(-?x))/2)~p0
4 ~Ht(tanh(?x)):((e^?x-e^(-?x))/(e^?x+e^(-?x)))~p0
4 ~Ht(tanh(?x)):((sinh(?x))/(cosh(?x)))~p0
4 ~Hs((cosh(?x))^2-(sinh(?x))^2):(1)~p0
4 ~Hs(-(cosh(?x))^2+(sinh(?x))^2):(-1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Other hyperbolic|
  | rules}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((cosh(?x))^2):(1/2*(cosh(2*?x)+1))~p0
4 ~Ht((sinh(?x))^2):(1/2*(cosh(2*?x)-1))~p0
4 ~Ht(sinh(2*?x)):(2*cosh(?x)*sinh(?x))~p0
4 ~Ht(cosh(2*?x)):(2*(cosh(?x))^2-1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Constants|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?c6 (C)~p0
2 ~V?c5 ('o)~p0
2 ~V?c1 ('p)~p0
2 ~V?c0 (c)~p0
2 ~V?c0 (b)~p0
2 ~V?c0 (a)~p0
2 ~V?c4 (i)~p0
2 ~V?c3 ('N)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Variables|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?v0 (n)~p0
2 ~V?v0 (h)~p0
2 ~V?v0 (v)~p0
2 ~V?v0 (u)~p0
2 ~V?v0 (w)~p0
2 ~V?v0 ('f)~p0
2 ~V?v0 ('r)~p0
2 ~V?v0 ('q)~p0
2 ~V?v0 (r)~p0
2 ~V?v0 (t)~p0
2 ~V?v0 (z)~p0
2 ~V?v0 (y)~p0
2 ~V?v0 (x)~p0
2 ~V?v0 (k)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Functions|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f162 (max)~p0
2 ~V?f161 (min)~p0
2 ~V?f132 (FromSpherical)~p0
2 ~V?f130 (FromCylindrical)~p0
2 ~V?f128 (FromPolar)~p0
2 ~V?f144 (RowsOf)~p0
2 ~V?f146 (ColsOf)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4" *|: ;bP7&c0!*Names to the back|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~V?f0 (dlim)~p0
3 ~V?f0 (SAEQN)~p0
3 ~V?f0 (SA)~p0
3 ~V?f0 (D)~p0
3 ~V?f0 (N)~p0
3 ~V?v0 (xSV)~p0
3 ~V?d16 (d)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})b ^# b'4" *|: ;bP8&c0!*In this notebook|
  | you can enter parametric equations in two variables and then|
  | scramble them up by multiplying the coordinates by matrix A,N|
  |  Just see how bizarre you can be,A}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(x=u+v)~p0
0 ~d~A(y=u-v)~p0
1 ~d~A(z=u*v)~p0
1 ~d~A(A=(cos(v+v),-sin(v),cos(u*v);sin(u+v),5,-~
 3;2,sin(u),cos(u-v)))~p0
2 ~d~Z1 1 247 247 1
0.90731 0.42048 0.00000
0.04288 -0.09253 -0.99478
-0.41829 0.90257 -0.10198
1 5 5 5 10 0 0 ? ?
(~
 -7.5...13.5):(-14.5...14.5):(-16.5...4.5):(?=0...~
 2*'p):('p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})%# b#@" *|: ;bP8&c0!*Graph Building |
  |Blocks}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p1
0 ~R8405120 ? (x,y,bottom):(y=south...north):(x=~
 west...east):(0)~p0
1 ~R8405120 ? (x,y,bottom):(x=west...east):(y=south...~
 north):(0)~p0
1 ~X1 8405120 (west,south,z):(z=bottom...top):(z)~p0
1 ~X1 8405120 (west,y,bottom):(y=south...north):(~
 y)~p0
1 ~X1 8405120 (x,south,bottom):(x=west...east):(~
 x)~p0
1 ~V?c69 (west)~p0
1 ~V?c68 (east)~p0
1 ~V?c70 (south)~p0
1 ~V?c71 (north)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~D2 5 1 16777215 ? ? ((x,y,z)*A):(u=-3...3):(v=~
 -3...3):(z=bottom...top)~p0
0 ~t~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP8&c0!* |
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(x_2=(10+4*cos(u))*cos(v))~p0
0 ~d~A(y_2=(10+4*cos(u))*sin(v))~p0
1 ~d~A(z_2=4*sin(u))~p0
1 ~d~A(B=(3,5*sin(u),cos(3*u);sin(u),5,sin(u);2*~
 cos(u),-sin(u),-8))~p0
1 ~d~Z1 1 247 247 1
0.90731 0.42048 0.00000
0.04288 -0.09253 -0.99478
-0.41829 0.90257 -0.10198
2 4 4 6 10 0 0 ? ?
(~
 -42...42):(-74...70):(-40...38):(?=0...2*'p):(~
 'p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})%# b#@" *|: ;bP8&c0!*Graph Building |
  |Blocks}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p1
0 ~R8405120 ? (x_2,y_2,bottom):(y_2=south...north):(~
 x_2=west...east):(0)~p0
1 ~R8405120 ? (x_2,y_2,bottom):(x_2=west...east):(~
 y_2=south...north):(0)~p0
1 ~X1 8405120 (west,south,z_2):(z_2=bottom...top):(~
 z_2)~p0
1 ~X1 8405120 (west,y_2,bottom):(y_2=south...north):(~
 y_2)~p0
1 ~X1 8405120 (x_2,south,bottom):(x_2=west...east):(~
 x_2)~p0
1 ~V?c69 (west)~p0
1 ~V?c68 (east)~p0
1 ~V?c70 (south)~p0
1 ~V?c71 (north)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~D2 5 1 16777215 ? ? ((x_2,y_2,z_2)*B):(u=0...~
 2*'p):(v=0...2*'p):(z_2=bottom...top)~p0
0 ~t~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP8&c0!* |
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(r=u+v)~p0
0 ~d~A('q=u-v)~p0
1 ~d~A(z_3=r*'q)~p0
1 ~d~A(M=(3,5*sin(u),cos(3*u);sin(u),5,sin(u);2*~
 cos(u),-sin(u),-8))~p0
1 ~d~Z1 1 247 247 1
0.82514 0.56493 0.00000
0.08949 -0.13070 -0.98737
-0.55780 0.81472 -0.15840
1 4 4 5 10 0 0 ? ?
(~
 -205...80):(-110...75):(-700...700):(?=0...2*'p):(~
 'p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})%# b#@" *|: ;bP8&c0!*Graph Building |
  |Blocks}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p1
0 ~X1 8405120 (FromCylindrical(r,0,bottom)):(r=0...~
 radius):(r)~p0
1 ~X1 8405120 (FromCylindrical(radius,'q,bottom)):(~
 'q=0...2*'p):('q)~p0
1 ~X1 8405120 (FromCylindrical(radius,0,z)):(z=bottom...~
 top):(z)~p0
1 ~V?c69 (west)~p0
1 ~V?c68 (east)~p0
1 ~V?c70 (south)~p0
1 ~V?c71 (north)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~V?c72 (radius)~p0
1 ~D2 5 1 16777215 ? ? (FromCylindrical(r,'q,z_3)*~
 M):(u=0...3*'p):(v=0...3*'p):(abs(r/radius))~p0
0 ~t~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP8&c0!* |
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A('r=cos(u+v))~p0
0 ~d~A('q_2=sin(u*v))~p0
1 ~d~A('j=cos(u-v))~p0
1 ~d~A(G=(3,5*sin(u),cos(3*u);sin(u),5,sin(u);2*~
 cos(u),-sin(u),-8))~p0
1 ~d~Z1 1 247 247 1
0.90731 0.42048 0.00000
0.04288 -0.09253 -0.99478
-0.41829 0.90257 -0.10198
2 4 4 6 10 0 0 ? ?
(~
 -3.1000000000000001...2.5):(-5.2000000000000002...~
 4.2000000000000002):(-8...8):(?=0...2*'p):('p/~
 5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})%# b#@" *|: ;bP8&c0!*Graph Building |
  |Blocks}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p1
0 ~X1 8405120 (FromSpherical('r,0,0)):('r=0...radius):(~
 'r)~p0
1 ~X1 8405120 (FromSpherical(radius,'q,0)):('q=0...~
 'p):('q)~p0
1 ~X1 8405120 (FromSpherical(radius,'p/2,'j)):('j=~
 0...2*'p):('j)~p0
1 ~V?c69 (west)~p0
1 ~V?c68 (east)~p0
1 ~V?c70 (south)~p0
1 ~V?c71 (north)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~V?c72 (radius)~p0
1 ~D2 5 1 16777215 ? ? (FromSpherical('r,'q_2,'j)*~
 G):(u=0...2*'p):(v=0...2*'p):(abs('r/radius))~p0
0 ~t~p0
1 ~e