texmath-0.9.4: tests/writers/complex3.eqn
matrix{
ccol{ {2 {sum {a b}}} above {x sup {prime 3}} above {{{f sup prime {( x )}} + {sin cos theta}} = 1} above {{{f {( z )}} = {sum from {n = 0} to inf {a sub n z sup n}}} roman ", " {{left | z right | < R} \[u200b] {( {R != 0} )}}} above {left ∫ {} sub C {left ( {sum from {n = 0} to inf {a sub n z sup n}} right ) {\[u2146] z}} right "" = {sum from {n = 0} to inf {a sub n left ∫ {} sub C {z sup n {\[u2146] z}} right ""}}} above {{lim from {n -> inf} left | left ∫ {} sub C {left [ {{f {( z )}} \[u2212] {sum from {k = 0} to n {a sub k z sup k}}} right ] {\[u2146] z}} right "" right |} = 0} above {left "" {n >= {N {( \[u03b5] )}}} "⇒" {left | {{f {( z )}} \[u2212] {sum from {k = 0} to n {a sub k z sup k}}} right | < \[u03b5]} right ""} above {{10 roman " Bq"} + {10 roman " Ci"}} above {{10 roman " amol"} + {10 roman " Emol"} \[u2212] {10 roman " fmol"} + {10 roman " Gmol"} \[u2212] {10 roman " kmol"} + {10 roman " Mmol"}} above {{10 roman " μmol"} + {10 roman " mmol"} \[u2212] {10 roman " mol"} + {10 roman " nmol"} \[u2212] {10 roman " Pmol"} + {10 roman " pmol"} \[u2212] {10 roman " Tmol"}} above {{10 roman " acre"} + {10 roman " hectare"} \[u2212] {10 {roman " ft"} sup 2} + {10 {roman " in"} sup 2} \[u2212] {10 {roman " m"} sup 2}} above {{10 roman " A"} + {10 roman " kA"} \[u2212] {10 roman " μA"} + {10 roman " mA"} \[u2212] {10 roman " nA"}} above {{10 roman " F"} + {10 roman " μF"} \[u2212] {10 roman " mF"} + {10 roman " nF"} \[u2212] {10 roman " pF"}} above {{10 roman " C"} + {1.0 roman " m/s/s"} \[u2212] {0.1 {roman " m" / {roman "s"} sup 2}}} above {{10 roman " kS"} + {10 roman " μS"} \[u2212] {10 roman " mS"} + {10 roman " S"}} above {{10 roman " kV"} + {10 roman " MV"} \[u2212] {10 roman " μV"} + {10 roman " mV"} \[u2212] {10 roman " nV"} + {10 roman " pV"} \[u2212] {10 roman " V"}} above {{10 roman " GΩ"} + {10 roman " kΩ"} \[u2212] {10 roman " MΩ"} + {10 roman " mΩ"} \[u2212] {10 roman " Ω"}} above {{10 roman " Btu"} + {10 roman " cal"} \[u2212] {10 roman " eV"} + {10 roman " erg"} \[u2212] {10 roman " GeV"} + {10 roman " GJ"}} above {{10 roman " J"} + {10 roman " kcal"} \[u2212] {10 roman " kJ"} + {10 roman " MeV"} \[u2212] {10 roman " MJ"} + {10 roman " μJ"} \[u2212] {10 roman " mJ"} + {10 roman " nJ"}} above {{10 roman " dyn"} + {10 roman " kN"} \[u2212] {10 roman " MN"} + {10 roman " μN"} \[u2212] {10 roman " mN"} + {10 roman " N"} \[u2212] {10 roman " ozf"} + {10 roman " lbf"}} above {{10 roman " EHz"} + {10 roman " GHz"} \[u2212] {10 roman " Hz"} + {10 roman " kHz"} \[u2212] {10 roman " MHz"} + {10 roman " PHz"} \[u2212] {10 roman " THz"}} above {{10 roman " fc"} + {10 roman " lx"} \[u2212] {10 roman " phot"}} above {{10 roman " Å"} + {10 roman " am"} \[u2212] {10 roman " cm"} + {10 roman " dm"} \[u2212] {10 roman " fm"} + {10 roman " ft"} \[u2212] {10 roman " in"}} above {{10 roman " km"} + {10 roman " m"} \[u2212] {10 roman " μm"} + {10 roman " mi"} \[u2212] {10 roman " mm"} + {10 roman " nm"} \[u2212] {10 roman " pm"}} above {10 roman " sb"} above {10 roman " lm"} above {10 roman " cd"} above {{10 roman " Mx"} + {10 roman " μWb"} \[u2212] {10 roman " mWb"} + {10 roman " nWb"} \[u2212] {10 roman " Wb"}} above {{10 roman " G"} + {10 roman " μT"} \[u2212] {10 roman " mT"} + {10 roman " nT"} \[u2212] {10 roman " pT"} + {10 roman " T"}} above {{10 roman " H"} + {10 roman " μH"} \[u2212] {10 roman " mH"}} above {{10 roman " u"} + {10 roman " cg"} \[u2212] {10 roman " dg"} + {10 roman " g"} \[u2212] {10 roman " kg"} + {10 roman " μg"} \[u2212] {10 roman " mg"} + {10 roman " lb"} \[u2212] {10 roman " slug"}} above {{10 roman " °"} + {10 roman " μrad"} \[u2212] {10 roman " mrad"} + {10 {fwd 0} sup {roman "′"}} \[u2212] {10 roman " rad"} + {10 {fwd 0} sup {roman "′′"}}} above {{10 roman " GW"} + {10 roman " hp"} \[u2212] {10 roman " kW"} + {10 roman " MW"} \[u2212] {10 roman " μW"} + {10 roman " mW"} \[u2212] {10 roman " nW"} + {10 roman " W"}} above {{10 roman " atm"} + {10 roman " bar"} \[u2212] {10 roman " kbar"} + {10 roman " kPa"} \[u2212] {10 roman " MPa"} + {10 roman " μPa"} \[u2212] {10 roman " mbar"} + {10 roman " mmHg"} \[u2212] {10 roman " Pa"} + {10 roman " torr"}} above {10 roman " sr"} above {{10 roman " °C"} + {10 roman " °F"} \[u2212] {10 roman " K"}} above {{10 roman " as"} + {10 roman " d"} \[u2212] {10 roman " fs"} + {10 roman " h"} \[u2212] {10 roman " μs"} + {10 roman " ms"} \[u2212] {10 roman " min"} + {10 roman " ns"} \[u2212] {10 roman " ps"} + {10 roman " s"} \[u2212] {10 roman " y"}} above {{10 {roman " ft"} sup 3} + {10 {roman " in"} sup 3} \[u2212] {10 {roman " m"} sup 3} + {10 roman " gal"} \[u2212] {10 roman " l"}} above {{10 roman " ml"} + {10 roman " pint"} \[u2212] {10 roman " qt"}} above {1 over {x left ( y right )} = {left ( {{\[u2212] {int {e sup {{\[u2212] 1 over 2} y sup 2} {sin y} {\[u2146] y}}}} + C sub 1} right ) e sup {1 over 2 y sup 2}}} above {{{\[u2145] sub x y} \[u2212] y} = {sin x}} above {left ( 1 over 2 right ) left ( 1 over 2 right ) left ( 1 over 2 right )} above {left [ 1 over 2 right ] left ( 1 over 2 right ) left { 1 over 2 right }} above {left 〈 1 over 2 right 〉 left ⌊ 1 over 2 right ⌋ left ⌈ 1 over 2 right ⌉} above {left "" "↑" 1 over 2 "↑" right "" left "" "↓" 1 over 2 "↓" right "" left "" "↕" 1 over 2 "↕" right ""} above {1 over 2 1 over 2 1 over 2} above {1 over 2 1 over 2 1 over 2} above {1 over 2 1 over 2 1 over 2} above {{\[u2212] {( {a \[u2212] b} )}} = {b \[u2212] a}} above {{2 over 5 + 3 over 7} = {{2 \[u22c5] 7} + {3 \[u22c5] 5}} over 35 = 29 over 35} above {left | a right | = left { matrix{
ccol{ a above {\[u2212] a} }
ccol{ {roman "if"} above {roman "if"} }
ccol{ {a >= 0} above {a < 0} }
} right ""} above {a sup n = {{a \[u22c5] a \[u22c5] \[u22ef] \[u22c5] a} from \[ufe38]} from {n roman " factors"}} above {{left ( a over b right )} sup {\[u2212] n} = {left ( b over a right )} sup n} above {{"" sup n sqrt a = b} roman " means " {b sup n = a} roman "."} above {"" sup 4 sqrt {16 over 81} = {"" sup 4 sqrt 16} over {"" sup 4 sqrt 81} = 2 over 3} above {left { {x \[u2223] {{x != 0} , {x != 1}}} right }} above {{a sub n x sup n} + {a sub {n \[u2212] 1} x sup {n \[u2212] 1}} + \[u22ef] + {a sub 1 x} + a sub 0} above {{a sup 3 \[u2212] b sup 3} = {left ( {a \[u2212] b} right ) left ( {a sup 2 + {a b} + b sup 2} right )}} above {{( {x + y} )} sup 2} above {H = left { {{left ( matrix{
ccol{ a above c }
ccol{ b above d }
} right ) \[u2208] G} \[u2223] {{{a d} \[u2212] {b c}} = 1}} right }} above {{{| x |} + {|| y ||} + {{ z }} \[u2212] {[ {a c} ]} + {( b )}} = {[ {a , b} ]}} above {x = 1} above {x = 1} above {x = 1} above {x = 1} above {left [ {{\[u2212] 10 over 3} , {\[u2212] 7 over 3}} right ) \[u222a] left ( {{\[u2212] 7 over 3} , {\[u2212] 4 over 3}} right ]} above {{{A {partial u} over {partial x}} + {B {partial u} over {partial y}} + {C u}} = E} above {sum from {fwd 0} to {fwd 0} x} above {sum from {matrix{
ccol{ {1 < i < 10} above {1 < j < 10} }
}} to {fwd 0} 2 sup {i + j}} above {GAMMA sub {1 sub {^ sup {matrix{
ccol{ {2 sub {^ sup {matrix{
ccol{ 3 above 4 }
}}} sup {fwd 0}} above {5 sub {^ sup {matrix{
ccol{ 6 above 7 }
}}} sup {fwd 0}} }
}}} sup {fwd 0}} sup {1 sup {matrix{
ccol{ {5 sup {matrix{
ccol{ 7 above 6 }
}}} above {2 sup {matrix{
ccol{ 4 above 3 }
}}} }
}}}} above {{y left ( x right )} = {{x e sup x} \[u2212] e sup x + 2} over {e sup x} = {x \[u2212] 1 + 2 over {e sup x}}} above {matrix{
rcol{ {{{\[u2145] sub {x \[u200b] x} y} \[u2212] y} = 0} above {{y {( 0 )}} = 1} above {{y sup prime left ( 0 right )} = 0} }
}} above {{y left ( x right )} = {{1 over 3 e sup {{\[u2212] "" sup 3 sqrt {( {\[u2212] 1} )}} x}} + {2 over 3 e sup {1 over 2 "" sup 3 sqrt {( {\[u2212] 1} )} x} {cos {1 over 2 sqrt 3 "" sup 3 sqrt {left ( {\[u2212] 1} right )} x}}}}} above {{y left ( t right )} = {2 {tan left ( {{2 t} \[u2212] {1 over 4 pi}} right )}}} above {{\[u2131] left ( {matrix{
ccol{ {e sup {2 pi i x}} above {2 pi {Dirac left ( {x \[u2212] {2 pi}} right )}} }
} , x , s} right )} = left ( matrix{
ccol{ {2 pi {Dirac left ( {s \[u2212] {2 pi}} right )}} above {2 pi e sup {{\[u2212] 2} i pi s}} }
} right )} above {matrix{
ccol{ {x = 1} above {{x + 3} = 123} }
}} above {matrix{
ccol{ t above 0 above .1 above .2 above .3 above .4 above .5 above .6 above .7 above .8 above .9 above 1.0 }
ccol{ x above 1.0000 above 1.1158 above 1.2668 above 1.4582 above 1.6953 above 1.9830 above 2.3256 above 2.7265 above 3.1873 above 3.7077 above 4.2842 }
ccol{ y above 1.0000 above 1.0938 above 1.1695 above 1.2173 above 1.2253 above 1.1791 above 1.0619 above .8542 above .5344 above .0777 above {\[u2212] .5424} }
ccol{ z above 1.0000 above .8842 above .7332 above .5418 above .3047 above .0170 above {\[u2212] .3256} above {\[u2212] .7265} above {\[u2212] 1.1873} above {\[u2212] 1.7077} above {\[u2212] 2.2842} }
}} above {{K sub v {( z )}} = {BesselK sub v left ( z right )}} above {{{z sup 2 {\[u2146] sup 2 w} over {\[u2146] z sup 2}} + {z {\[u2146] w} over {\[u2146] z}} \[u2212] {left ( {z sup 2 + v sup 2} right ) w}} = 0} above {{{partial sup 2 {u {( {x , y} )}}} over {partial x sup 2} \[u2212] {partial sup 2 {u {( {x , y} )}}} over {partial y sup 2}} = 0} above {{y left ( {t , x} right )} = {{F sub 1 left ( {{\[u2212] x} \[u2212] {a t}} right )} + {F sub 2 left ( {x \[u2212] {a t}} right )}}} above {matrix{
ccol{ 1 above 4 }
ccol{ 2 above 5 }
ccol{ 3 above 6 }
}} above {{{2 x} + 1} = 5} above {matrix{
ccol{ {1 = 3} above {9 = 7} }
}} above {matrix{
ccol{ {a b} above {c d} above {e f} }
}} above {matrix{
ccol{ {{x + {2 y} \[u2212] 3} = 5} above {{{4 x} \[u2212] y \[u2212] 5} = 98} }
}} above {matrix{
ccol{ {x = z} above {1 = 3} }
}} above {matrix{
ccol{ {{A sub 1 = {{N sub 0 {( {lambda ; OMEGA sup prime} )}} \[u2212] {varphi {( {lambda ; OMEGA sup prime} )}}}} roman ","} above {{A sub 2 = {{varphi {( {lambda ; OMEGA sup prime} )}} \[u2212] {varphi {( {lambda ; OMEGA} )}}}} roman ","} above {{A sub 3 = {{N} {( {lambda ; omega} )}}} roman "."} }
}} above {matrix{
ccol{ {sin theta} above {cos gamma} }
}} above {x = left { matrix{
lcol{ x above {\[u2212] x} }
lcol{ {roman "if " {x < 0}} above {roman "if " {x >= 0}} }
} right ""} above {matrix{
ccol{ {L M R M} above {L M R M} }
}} above {matrix{
ccol{ {M A T H} above {M A T H} }
}} above {roman "⋮"} above {{"∇×" F} = 0} above {"∇·" F} above {{"∇·∇" F} = {{grad sup 2 F} + 7} = A} above {{"∇×" {( {{x y} , {y z} , {z x}} )}} = left [ matrix{
ccol{ {\[u2212] y} above {\[u2212] z} above {\[u2212] x} }
} right ]} above {{"∇×" {( {y , z , x} )}} = left ( {{\[u2212] 1} , {\[u2212] 1} , {\[u2212] 1}} right ) != 0} above {{x + y + alpha} = 102} above {{bold {a} + bold {b}} = bold {c}} above {x + 1} above {{x + {f {( bold {x} )}} \[u2212] 1} = 123} above {{italic {T} italic {h} italic {e} italic {q} italic {u} italic {i} italic {c} italic {k} b r o w n f o x j u m p s bold {o} bold {v} bold {e} bold {r} t h e {l} {a} {z} {y} {d} {o} {g}} roman "." {T h e e n d} roman "."} above {left ( {{{partial f} over {partial x sub 1} left ( {c sub 1 , c sub 2 , ... , c sub n} right )} , {{partial f} over {partial x sub 2} left ( {c sub 1 , c sub 2 , ... , c sub n} right )} , ... , {{partial f} over {partial x sub {n \[u200b] 1}} left ( {c sub 1 , c sub 2 , ... , c sub n} right )}} right )} above {{grad left ( {{c u v} + {v sup 2 w}} right )} = left ( {{u v} , {c v} , {{c u} + {2 v w}} , v sup 2} right )} above {matrix{
ccol{ {{D sub u {f left ( {a , b , c} right )}} = {{grad {f left ( {a , b , c} right )}} \[u22c5] bold {u}}} above {= {{{{partial f} over {partial x} left ( {a , b , c} right )} u sub 1} + {{{partial f} over {partial y} left ( {a , b , c} right )} u sub 2} + {{{partial f} over {partial z} left ( {a , b , c} right )} u sub 3}}} }
}} above {{theta \[u2208] left { {pi + {2 X sub 3 pi} \[u2212] left ( {"arccos" {1 over 7 sqrt 14}} right )} "|" {X sub 3 \[u2208] \[u2124]} right }} , {theta \[u2208] left { {{2 X sub 4 pi} \[u2212] pi + left ( {"arccos" {1 over 7 sqrt 14}} right )} "|" {X sub 4 \[u2208] \[u2124]} right }}} above {P = {A {left ( {A sup T A} right )} sup {\[u2212] 1} A sup T}} above {{"det" left ( matrix{
ccol{ x above a above a }
ccol{ y above b above d }
ccol{ 1 above 1 above 1 }
} right )} = {{x b} \[u2212] {x d} + {a d} \[u2212] {a b}} = 0} above {{{A left ( theta right )} {A left ( {\[u2212] theta} right )}} = {left [ matrix{
ccol{ {cos theta} above {sin theta} }
ccol{ {\[u2212] {sin theta}} above {cos theta} }
} right ] left [ matrix{
ccol{ {cos theta} above {\[u2212] {sin theta}} }
ccol{ {sin theta} above {cos theta} }
} right ]}} above {{J {( A )}} = left [ matrix{
ccol{ {J sub {n sub 1} left ( lambda sub 1 right )} above 0 above {roman "⋮"} above 0 }
ccol{ 0 above {J sub {n sub 2} left ( lambda sub 2 right )} above {roman "⋮"} above 0 }
ccol{ \[u22ef] above \[u22ef] above {roman "⋱"} above \[u22ef] }
ccol{ 0 above 0 above {roman "⋮"} above {J sub {n sub k} left ( lambda sub k right )} }
} right ]} above {{"det" left ( matrix{
ccol{ {{\[u2212] 4} + X} above 0 above 0 }
ccol{ {\[u2212] 1} above {{\[u2212] 4} + X} above 0 }
ccol{ 0 above 0 above {{\[u2212] 4} + X} }
} right )} = {left ( {X \[u2212] 4} right )} sup 3} above {left "" left { left ( matrix{
ccol{ {{\[u2212] 1 over 2} \[u2212] {1 over 6 sqrt 33}} above 1 }
} right ) right } "↔" {5 over 2 \[u2212] {1 over 2 sqrt 33}} right ""} above {left "" "∥" A "∥" right "" = {max from {x != 0} {left "" "∥" {A x} "∥" right ""} over {left "" "∥" x "∥" right ""}}} above {{left ( matrix{
ccol{ {a sub {1 \[u200b] 1}} above {a sub {2 \[u200b] 1}} }
ccol{ {a sub {1 \[u200b] 2}} above {a sub {2 \[u200b] 2}} }
} right ) + left ( matrix{
ccol{ {b sub {1 \[u200b] 1}} above {b sub {2 \[u200b] 1}} }
ccol{ {b sub {1 \[u200b] 2}} above {b sub {2 \[u200b] 2}} }
} right )} = left ( matrix{
ccol{ {a sub {1 \[u200b] 1} + b sub {1 \[u200b] 1}} above {a sub {2 \[u200b] 1} + b sub {2 \[u200b] 1}} }
ccol{ {a sub {1 \[u200b] 2} + b sub {1 \[u200b] 2}} above {a sub {2 \[u200b] 2} + b sub {2 \[u200b] 2}} }
} right )} above {{f left ( left [ matrix{
ccol{ 1 above 4 }
ccol{ 2 above 3 }
} right ] right )} = {{left [ matrix{
ccol{ 1 above 4 }
ccol{ 2 above 3 }
} right ]} sup 2 \[u2212] {5 left [ matrix{
ccol{ 1 above 4 }
ccol{ 2 above 3 }
} right ]} \[u2212] 2} = left [ matrix{
ccol{ 2 above {\[u2212] 4} }
ccol{ {\[u2212] 2} above 0 }
} right ]} above {x = {lim from {x = 1} {sum from 1 to 2 a}}} above {{int sub a sup b {{f {( x )}} {\[u2146] x}}} = {lim from {{\[u2225] P \[u2225]} -> 0} {sum from {i = 1} to n {{f left ( {x to \[u00af]} sub i right )} {DELTA x sub i}}}}} above {{int sub a sup b {{f {( x )}} {\[u2146] x}}} = {lim from {n -> inf} {{b \[u2212] a} over n {sum from {i = 1} to n {f left ( {a + {i {b \[u2212] a} over n}} right )}}}}} above {{int sub 0 sup 2 {x sup 5 sqrt {x sup 3 + 1} {\[u2146] x}}} = {int sub 1 sup 3 {2 over 3 u {sqrt {left ( u sup 2 right )}} over {{left ( {u sup 2 \[u2212] 1} right )} sup {2 over 3}} left ( {{u sup 2 {left ( {u sup 2 \[u2212] 1} right )} sup {2 over 3}} \[u2212] {left ( {u sup 2 \[u2212] 1} right )} sup {2 over 3}} right ) {\[u2146] u}}}} above {left ∫ {{f {( {g {( x )}} )}} {g sup prime {( x )}} {\[u2146] x}} right "" = left ∫ {{f {( u )}} {\[u2146] u}} right ""} above {x = {2 {sum from {n = 1} to 100 {n {( {n \[u2212] 1} )}}}}} above {{lim from {x -> 0} {sin left ( 1 over x right )}} = {{\[u2212] 1} .. 1}} above {{h {( {i , j} )}} = {{{( {2 \[u2212] j} )} {g {( i )}}} + {{( {j \[u2212] 1} )} {f {( {g {( i )}} )}}}}} above {\[u25b3] : left "" left [ {0 , 1} right ] "→" left [ {0 , 1} right ] right ""} above {{0 \[u25bd] x} = x} above {{x \[u25b3] y} = {h sup {\[u2212] 1} left ( {{h left ( x right )} {h left ( y right )}} right )}} above {{x \[u25b3] y} = {f sup {\[u2212] 1} left ( {max left { {{{f left ( x right )} + {f left ( y right )} \[u2212] 1} , 0} right }} right )}} above {{x \[u25bd] y} = {eta left ( {{eta left ( x right )} \[u25b3] {eta left ( y right )}} right )}} above {{x {\[u25b3] sub 0 y}} = left { matrix{
ccol{ {x \[u2227] y} above 0 }
ccol{ {roman "if"} above {roman "if"} }
ccol{ {x \[u2228] {y = 1}} above {x \[u2228] {y < 1}} }
} right ""} above {{lim from {a -> 1 sup +} {log sub a left [ {1 + {left ( {a sup x \[u2212] 1} right ) left ( {a sup y \[u2212] 1} right )} over {a \[u2212] 1}} right ]}} = {lim from {a -> 1 sup \[u2212]} {log sub a left [ {1 + {left ( {a sup x \[u2212] 1} right ) left ( {a sup y \[u2212] 1} right )} over {a \[u2212] 1}} right ]}} = {x y}} above {{g {( x )}} = {exp left ( {\[u2212] {1 \[u2212] {left ( {1 \[u2212] x} right )} sup a} over {left ( {2 sup a \[u2212] 1} right ) {left ( {1 \[u2212] x} right )} sup a}} right )}} above {{"Aut" {( bold {I} )}} = left { {f : left "" left [ {0 , 1} right ] "→" left [ {0 , 1} right ] right ""} ~ left | matrix{
lcol{ {f roman " is one-to-one and onto, and"} above {{x <= y} roman " implies " {{f left ( x right )} <= {f left ( y right )}}} }
} right "" right }} above {{{x sup 2 + y sup 2} = r sup 2} , roman " " {{tan theta} = y over x}} above {sqrt 2 sqrt {1 \[u2212] t sup 2}} above {left [ {{{( {2 + {sin t}} )} 10 {cos t}} , {{( {2 + {cos t}} )} 10 {sin t}} , {3 {sin {3 t}}}} right ]} above {left { {{t = 0} , {s = 0}} right } , left { {{t = pi} , {s = pi}} right }} above {matrix{
ccol{ {matrix{
ccol{ 1 above 2 above 3 above 4 above 5 above 6 above 7 above 8 above 9 above 10 }
ccol{ 2 above 4 above 6 above 8 above 10 above 1 above 3 above 5 above 7 above 9 }
ccol{ 3 above 6 above 9 above 1 above 4 above 7 above 10 above 2 above 5 above 8 }
ccol{ 4 above 8 above 1 above 5 above 9 above 2 above 6 above 10 above 3 above 7 }
ccol{ 5 above 10 above 4 above 9 above 3 above 8 above 2 above 7 above 1 above 6 }
ccol{ 6 above 1 above 7 above 2 above 8 above 3 above 9 above 4 above 10 above 5 }
ccol{ 7 above 3 above 10 above 6 above 2 above 9 above 5 above 1 above 8 above 4 }
ccol{ 8 above 5 above 2 above 10 above 7 above 4 above 1 above 9 above 6 above 3 }
ccol{ 9 above 7 above 5 above 3 above 1 above 10 above 8 above 6 above 4 above 2 }
ccol{ 10 above 9 above 8 above 7 above 6 above 5 above 4 above 3 above 2 above 1 }
}} }
}} above {matrix{
ccol{ {roman "testing " x sup 2 roman " end."} }
}} above {matrix{
ccol{ {roman "x"} }
}} above {matrix{
ccol{ x }
}} above {matrix{
ccol{ {roman "x"} }
}} above {matrix{
ccol{ x }
}} above {{{\[u2146] f} over {\[u2146] x} {( x sub 1 )}} = 5} above {{int {x {\[u2146] x}}} = {\[u222c] {x y {\[u2146] x} {\[u2146] y}}} = {\[u222d] {x y z {\[u2146] x} {\[u2146] y} {\[u2146] z}}} = {\[u2a0c] {x y z t {\[u2146] x} {\[u2146] y} {\[u2146] z} {\[u2146] t}}}} above {"mod" a} above {{5 "mod" 3} = 2} above {{{f {( 0 )}} "mod" 3} = 1} above {{{{5 x} + 4} == 8} \[u200b] left ( {"mod" 13} right )} above {a = {{{( {5 \[u2212] 3} )} / 5} "mod" 7} = 6} above {{{left ( {{2 x sup 2} + x + 2} right ) + left ( {{2 x} + 1} right )} "mod" 3} = {2 x sup 2}} above {matrix{
ccol{ + above 000 above 1 }
ccol{ 0 above 000 above 1 }
ccol{ 1 above 111 above 0 }
}} above 4. 974 9 above {\[u2146] over {\[u2146] x} {F {( x )}}} above {left [ {86.333 , 146.33 , 129.33} right ]} above {{BinomialDist {( {x ; {n , p}} )}} = {sum from {k = 0} to x {left ( n over k right ) p sup k q sup {n \[u2212] k}}}} above {{"Pr" {( {X <= 54} )}} = {BinomialDist {( {54 ; {100 , .55}} )}} = .45846} above {{k = {max left { {left | {{partial f} over {partial y} {( {x , y} )}} right | : {{( {x , y} )} \[u2208] D}} right }}} roman "."} above {m = {lim from {x -> to {} a} {{f {( x )}} \[u2212] {f {( a )}}} over {x \[u2212] a}}} above {left | A right | = left | matrix{
ccol{ {a sub {1 \[u200b] 1}} above {a sub {2 \[u200b] 1}} above \[u22c5] above \[u22c5] above \[u22c5] above {a sub {n \[u200b] 1}} }
ccol{ {a sub {1 \[u200b] 2}} above {a sub {2 \[u200b] 2}} above \[u22c5] above \[u22c5] above \[u22c5] above {a sub {n \[u200b] 2}} }
ccol{ \[u22c5] above \[u22c5] above \[u22c5] above ^ above ^ above \[u22c5] }
ccol{ \[u22c5] above \[u22c5] above ^ above \[u22c5] above ^ above \[u22c5] }
ccol{ \[u22c5] above \[u22c5] above ^ above ^ above \[u22c5] above \[u22c5] }
ccol{ {a sub {1 \[u200b] n}} above {a sub {2 \[u200b] n}} above \[u22c5] above \[u22c5] above \[u22c5] above {a sub {n \[u200b] n}} }
} right | = {{a sub {1 \[u200b] 1} A sub {1 \[u200b] 1}} + {a sub {1 \[u200b] 2} A sub {1 \[u200b] 2}} + \[u22ef] + {a sub {1 \[u200b] n} A sub {1 \[u200b] n}}}} above {{x = 1} {( roman "hl text " x roman " end." )}} above {{x = 1} {( roman "hl to URI " x roman " end" )}} above {{x = 1} {( roman "sex" )}} above {{x = 1} {( roman "jbm" )}} above {} above {{{f {( x )}} g {[ y ]} h {{ z }}} + {{\[u230a] a \[u230b]} {\[u2308] b \[u2309]} {\[u2329] c \[u232a]}}} above {left "" 123 over {456 over A} right | left "" "∥" A over {B over A} right "" {left "" "/" 1 over {2 over A} "/" right "" left ( 3 over {4 over A} right )} left "" "↕" 5 over {6 over A} "↕" right "" 7 over {8 over A} left "" "⇕" {9 over 20} over {10 over A} "⇕" right "" {left "" "↑" 11 over {12 over A} "↑" right "" left "" "⇑" 13 over {14 over A} "⇑" right ""} left "" "↓" 15 over {16 over A} "↓" right "" left "" "⇓" 17 over {18 over A} "⇓" right ""} above {x matrix{
ccol{ x above x }
ccol{ x above x }
} x} above {{left ( {a sub 1 , a sub 2 , ... , a sub n} right ) \[u22c5] left ( {b sub 1 , b sub 2 , ... , b sub n} right )} = {{a sub 1 b sub 1 sup *} + {a sub 2 b sub 2 sup *} + \[u22ef] + {a sub n b sub n sup *}}} above {left ⌊ n over 5 right ⌋ + left ⌊ n over {5 sup 2} right ⌋ + left ⌊ n over {5 sup 3} right ⌋ + left ⌊ n over {5 sup 4} right ⌋ + \[u22ef]} above {x sub 1 + \[u22ef] + x sub n} above {{{x + \[u22ef] + x} from \[ufe38]} from {k roman " times"}} above {"" sup n sqrt {x sub 1 x sub 2 \[u22ef] x sub n}} above {{n !} = {1 times 2 times 3 times 4 times \[u22ef] times n}} above {P : {a = x sub 0 < x sub 1 < x sub 2 < \[u22ef] < x sub n = b}} above {{f {( x )}} = {30 over {13 {cos x}} + {10 over 3 sqrt {left ( {100 + 9 over {cos sup 2 x} \[u2212] {60 over {cos x} {sin left ( {x + {29 over 90 pi}} right )}}} right )}}}} above {{left ∫ {{cos {( {A x} )}} {sin {( {B x} )}} {\[u2146] x}} right "" = {{\[u2212] {cos {{( {B \[u2212] A} )} x}}} over {2 {( {B \[u2212] A} )}} + {\[u2212] {cos {{( {B + A} )} x}}} over {2 {( {B + A} )}} + C}} roman " ."} above {{235.3 + 813} = 1048. 3} above {{max from {{\[u2212] 2} <= x <= 2} left ( {x sup 3 \[u2212] {6 x} + 3} right )} = 8.0} above {{x decade} = {2 century}} above {{\[u2146] sup 5 left ( {x sup 7 \[u2212] {3 x sup 6}} right )} over {\[u2146] x sup 5} roman " " {\[u2146] sup n {sin x}} over {\[u2146] x sup n} roman " " {{\[u2146] sup 3} over {\[u2146] x sup 3} {f {( x )}}} roman " " {{\[u2146] sup 2} over {\[u2146] t sup 2} left ( {{4 t sup 5} \[u2212] {3 t}} right )}} above {{f {( x )}} = {30 over {13 {cos x}} + {10 over 3 sqrt {left ( {100 + 9 over {cos sup 2 x} \[u2212] {60 over {cos x} {sin left ( {x + {29 over 90 pi}} right )}}} right )}}}} above {left ∫ {} sub {{bold {R}} sup 3} {left ( {{{left | u sub 1 right |} sup 2 + {left | {grad u sub 0} right |} sup 2} over 2 + {{left | u sub 0 right |} sup 6} over 6} right ) {\[u2146] x}} right "" < inf} above {{left ( {"∇×" bold {F}} right ) \[u22c5] bold {k}} = {z + 1}} above {M {M sup {M over M}} over M} above {{\[u2145] sub x x sup 2} roman " " {\[u2145] sub x left ( x sup 2 right )} roman " " {\[u2145] sub {x \[u200b] x} left ( x sup 2 right )} roman " " {\[u2145] sub {x sup 2} left ( x sup 2 right )} roman " " {\[u2145] sub {x \[u200b] y} left ( {x sup 2 y sup 3} right )} roman " " {\[u2145] sub {x sup s \[u200b] y sup t} left ( {x sup 2 y sup 3} right )}} above {5 ^ {24 !} ^ x sup 6} above {matrix{
ccol{ {matrix{
ccol{ {x + "" sup 2 sqrt {{a sup {y \[u2212] 1}} over 12.34}} above ^ }
ccol{ {sin theta} above 1 }
}} }
}} above {matrix{
ccol{ 0 above 1 }
ccol{ 1 above 0 }
}} above {left ( matrix{
ccol{ 0 above i }
ccol{ {\[u2212] i} above 0 }
} right )} above {left [ matrix{
ccol{ 1 above 0 }
ccol{ 0 above {\[u2212] 1} }
} right ]} above {left | matrix{
ccol{ a above c }
ccol{ b above d }
} right |} above {left "" "∥" matrix{
ccol{ 1 above 0 }
ccol{ 0 above 11 }
ccol{ 1 above ^ }
} "∥" right ""} above {matrix{
ccol{ 1 above 4 }
ccol{ 2 above 5 }
ccol{ 3 above ^ }
}} above {roman "testing " matrix{
ccol{ {sin theta} }
}} above {a to \[u0302] + b to \[u02c7] + c to \[u02dc] + d to \[u00b4] + e to ` + f to \[u02d8] + g to \[u00af] + h + i to \[u02da] + j to \[u02d9] + k to \[u00a8] + l to \[u20db] + m to \[u20dc] + n to ->} above {{f {( {g {( x )}} )}} = {{sin sup 3 x sup 2} + {{sin x sup 2} {sin left ( {sin x sup 2} right )}}}} above {left ( {x sup 2 + 12} right ) + 1234} above {matrix{
ccol{ {x = 1} above {x sup 2} above {roman "jbm"} }
ccol{ {roman "not"} above {roman "merged"} above {roman "lowlife"} }
ccol{ {roman "here"} above {y sub 1} above {roman "The end."} }
}} above {{x sup 2 + y sup 2} = {z sup 2 \[u2212] 1}} above {matrix{
ccol{ {{x sup 2 + y sup 2} = {z sup 2 \[u2212] 1}} above {{x + y sup 3} = z sup 3} }
}} above {matrix{
ccol{ {{x sup 2 + y sup 2} = {z sup 2 \[u2212] 1}} above {{x + y sup 3} = z sup 3} }
}} above {matrix{
ccol{ {{x sup 2 + y sup 2} = 1} above {x = sqrt {1 \[u2212] y sup 2}} }
}} above {matrix{
ccol{ {{( {a + b} )} sup 2 = {a sup 2 + {2 a b} + b sup 2}} above {{{( {a + b} )} \[u22c5] {( {a \[u2212] b} )}} = {a sup 2 \[u2212] b sup 2}} }
}} above {matrix{
ccol{ {roman "First line of equation"} above {roman "Middle line of equation"} above {roman "Other middle line of equation"} above {roman "Last line of equation"} }
}} above {matrix{
ccol{ {{L sub 1 = R sub 1} roman " " {L sub 2 = R sub 2}} above {{L sub 3 = R sub 3} roman " " {L sub 4 = R sub 4}} }
}} above {matrix{
ccol{ {{( {a + b} )} sup 4 = {{( {a + b} )} sup 2 {( {a + b} )} sup 2}} above {= {{( {a sup 2 + {2 a b} + b sup 2} )} {( {a sup 2 + {2 a b} + b sup 2} )}}} above {= {a sup 4 + {4 a sup 3 b} + {6 a sup 2 b sup 2} + {4 a b sup 3} + b sup 4}} }
}} above {matrix{
ccol{ {{x sup 2 + y sup 2} = 1} above {x = sqrt {1 \[u2212] y sup 2}} }
} roman " " matrix{
ccol{ {{( {a + b} )} sup 2 = {a sup 2 + {2 a b} + b sup 2}} above {{{( {a + b} )} \[u22c5] {( {a \[u2212] b} )}} = {a sup 2 \[u2212] b sup 2}} }
}} above {matrix{
ccol{ {roman "Vertex"} above {roman "Focus"} above {roman "Directrix"} }
ccol{ {V {( {0 , 0} )}} above {F {( {0 , p} )}} above {y = {\[u2212] p}} }
}} above {{\[u2146] over {\[u2146] x} roman " " {( {"csc" sup {\[u2212] 1} x} )}} = {\[u2212] 1 over {left | x right | sqrt {x sup 2 \[u2212] 1}}}} above {{{tanh sup {\[u2212] 1} x} = {1 over 2 {ln left ( {1 + x} over {1 \[u2212] x} right )}}} roman " " {{\[u2212] 1} < x < 1}} above {{{\[u2220] alpha} + {\[u2220] A B C} + {\[u2220] 1}} = {\[u25b5] a b c}} above {y = {e sup {\[u2212] {int {P {\[u2146] x}}}} left [ {{int {e sup {int {P {\[u2146] x}}} Q {\[u2146] x}}} + c} right ]}} above {x = {1 + y sup 3}} above {{$ 1.00} + {25 \[u00a2]} \[u2212] {3 \[u00a3]} + {2.45 \[u00a4]} \[u2212] {0.7 \[u00a5]} \[u2212] {a \[u20a0]} + {20 \[u20a3]} + {30 \[u20a4]} \[u2212] {4.56 \[u20a7]}} above {matrix{
ccol{ {{{2 x} + y} = 3} above {{{3 x} \[u2212] {4 y}} = 5} above {{a + b} = {c + 12345}} }
}} above {matrix{
ccol{ {roman "Unrestricted"} }
ccol{ {roman " "} }
ccol{ {roman "Symmetric"} }
ccol{ {fwd 100} }
ccol{ {roman "Antisymmetric"} }
ccol{ {roman " "} }
ccol{ {roman "Triangular"} }
}} above {a != b != x} above {c \[u226e] d \[u226e] y} above {e \[u226f] f \[u226f] 11} above {g \[u2209] h \[u2209] Z} above {k \[u2241] l \[u2241] 3} above {{A \[u2284] B} \[u2282] C} above {A \[u2288] B \[u2288] C} above {10 \[u2262] 11 == 12} above {x "≰⃥" y "≰⃥" z} above {lim to \[u00af] x} above {lim from \[u0332] x} above {lim from -> x} above {lim from <- x} above {matrix{
ccol{ {x = {y + z}} above {= {k + m}} }
}} above {matrix{
lcol{ {roman "College Algebra " roman "Second Edition"} above {roman "James Stewart " roman "McMaster Universitiy"} above {roman "Lothar Redlin" roman " Pennsylvania State University"} above {roman "Saleem Watson" roman " California State University, Long Beach"} above {roman "Copyright 1996, ISBN 0 534-33983-2"} above {roman "Brooks/Cole Publishing Company"} above {roman "An International Thomson Publishing Company"} }
} ~} above {left { {1 over 2} over {1 over 2} "↑" sum from 1 to 2 right }} above {left 〈 {1 over 2} over {1 over 2} "|" sum from 1 to 2 right 〉} above {left ⌈ {1 over 2} over {1 over 2} "|" sum from 1 to 2 right ⌉} above {left "" "⇓" left "" {1 over 2} over {1 over 2} "↕" sum from 1 to 2 right "" "⇓" right ""} above {left [ {1 over 2} over {1 over 2} right ]} above {left ( {1 over 2} over {1 over 2} right )} above {left { {1 over 2} over {1 over 2} right }} above {left 〈 {1 over 2} over {1 over 2} right 〉} above {left ⌊ {1 over 2} over {1 over 2} right ⌋} above {left ⌈ {1 over 2} over {1 over 2} right ⌉} above {left "" "↑" {1 over 2} over {1 over 2} "↑" right ""} above {left "" "↓" {1 over 2} over {1 over 2} "↓" right ""} above {left "" "↕" {1 over 2} over {1 over 2} "↕" right ""} above {left "" "⇑" {1 over 2} over {1 over 2} "⇑" right ""} above {left "" "⇓" {1 over 2} over {1 over 2} "⇓" right ""} above {left "" "⇕" {1 over 2} over {1 over 2} "⇕" right ""} above {{1 over 2} over {1 over 2}} above {left \arrowvert {1 over 2} over {1 over 2} right \arrowvert} above {left \Arrowvert {1 over 2} over {1 over 2} right \Arrowvert} above {left \bracevert {1 over 2} over {1 over 2} right \bracevert} above {left | {1 over 2} over {1 over 2} right |} above {left | {1 over 2} over {1 over 2} right |} above {left | {1 over 2} over {1 over 2} right |} above {left "" "∥" {1 over 2} over {1 over 2} "∥" right ""} above {left "" "∥" {1 over 2} over {1 over 2} "∥" right ""} above {left "" "/" {1 over 2} over {1 over 2} "/" right ""} above {left "" "\" {1 over 2} over {1 over 2} "\" right ""} above {left ⎱ {1 over 2} over {1 over 2} right ⎰} above {left \lgroup {1 over 2} over {1 over 2} right \rgroup} above {left ⌞ {1 over 2} over {1 over 2} right ⌟} above {left ⌜ {1 over 2} over {1 over 2} right ⌝} above {A <- from ^ to {n + mu \[u2212] 1} B -> from T to {n +- i \[u2212] 1} C} above {1 over {sqrt 2 + 1 over {sqrt 3 + 1 over {sqrt 4 + 1 over {sqrt 5 + 1 over {sqrt 6 + ...}}}}}} above {1 over {sqrt 2 + 1 over {sqrt 3 + 1 over {sqrt 4 + 1 over {sqrt 5 + 1 over {sqrt 6 + ...}}}}}} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {left ( {sin theta} over M right ⌋} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} above {{sin theta} over M} }
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}