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the O'Oven Square. || Big O of N squared.
Big O of n squared.
S sub o direct sum S sub a belongs to the set of real numbers raised to the power of n plus n. || s sub o direct summed a sub a belongs to the set of real numbers raised to the power of n plus m.
s sub o, direct sum s sub a, belongs to the set of real numbers raised to the power of n plus m.
Z belongs to the set of real numbers raised to the power of M times D subtoken. || Z belongs to the set of real numbers raised to the power of them times to be sub-token.
Z belongs to the set of real numbers raised to the power of m times d sub token.
Peace out, sorry of this. || You subscibes.
E sub psi of s
equals f to the power of ivy subcivus sub o direct subprode subcivz. || equals F to the power of I of E sub psi of S sub O direct some probe sub psi of Z.
Equals F to the power of i of E sub psi of s sub o direct sum Proj sub psi of Z.
cos v v sub t superscript image plus lambda cos v v sub t superscript 1. || Cos of V V sub T superscript image plus lambda cos of V V sub T superscript 1.
cos of v, v sub t superscript image, plus lambda cos of v, v sub t superscript 1.
Posing of psi sub i, psi sub j. || Cos in the size of eye, size of jet.
cosine of psi sub i, psi sub j.
The sub t equals f superscript t open parenthesis, a sub-site open parenthesis s prime close parenthesis close parenthesis. || V sub T equals F super script T open parenthesis, e sub psi open parenthesis as prime close parenthesis, close parenthesis.
v sub t equals F superscript t open parenthesis E sub psi open parenthesis s prime close parenthesis close parenthesis.
Art Max on Z. || Ardmex Sobzee.
argmax sub Z
L of X T S sub O || LVXTSO.
A of x, t, s sub o.
e pools f to the power of i, open parenthesis, e said psi, open parenthesis, s sub o plus s sum a, close parenthesis, close parenthesis. || equals F to the power of I open parenthesis. You subside open parenthesis as sub O plus S sub A close parenthesis, close parenthesis.
Equals F to the power of i, open parenthesis, E sub psi, open parenthesis, s sub o, plus, s sub a, close parenthesis, close parenthesis.
Proci of z sub i equals z sub i plus z sub i sub j minus z sub i. || Proud size of the sub i equals the sub i plus sd of size sub j minus z sub i.
Proj psi of Z sub i equals Z sub i plus s g of psi sub j minus Z sub i.
5 times 20 equals 10,000. || 5 times 20 equals 10,000.
Five times twenty equals ten thousand.
w sub i w sub j || W sub y W sub j
w sub i, w sub j
V sub t superscript image if superscript, I open parenthesis X sub t close parenthesis. || v sub t superscript image f superscript. I'd open parenthesis x to sub t close parenthesis.
v sub t superscript image F superscript i open parenthesis x sub t close parenthesis
as sub equals e sub side inverse of prod sub side of z. || S sub-equals is sub-sign in verse of Prut sub-sign Z.
s sub a equals E sub psi inverse of Proj sub psi of Z.
superscript1 asterisk || SuperScript 1 Astros.
Superscript one, asterisk.
Probe, subsire, busy. || Prope subscibe Z
Proj sub psi of Z
Art Max, Sud, and Sobe. || Art Max, so a subnet.
argmax sub s sub a
is Prime Left Arrow. || S prime left arrow.
s prime left arrow
the subty superscript image. || the Sumtie superscript image.
v sub t superscript image
5 times 4 times 100 equals 200. || 5 times 4 times 100 equals 200.
Five times four times one hundred equals two hundred.
superscript 1, 2. || SuperScript 1.2
Superscript one comma two.
psi belongs to the set of wheel numbers raised to the power of the carnality of the set of V multiplied by D subtoken. || Cybalones, to this set of real numbers, raised to the power of the cardinality of the set of V multiplied by D sub-token.
Psi belongs to the set of real numbers raised to the power of the cardinality of the set of V multiplied by d sub token.
top left arrow L, top C left arrow Z. || Top left arrow L, top Z left arrow Z.
Top left arrow L, top Z left arrow Z.
Lambda equals zero. || lambda bit equals zero.
Lambda equals zero.
Prosh psi are to the power of M times detoken, right arrow are to the power of M times detoken. || Broats say, R2 power of m times d token, right arrow, R2 power of m times d token.
Proj psi: R to the power of m times d token, right arrow, R to the power of m times d token.
I left her row one. || I left a row one.
i left arrow 1
as belongs to the set of v star. || as belongs to the set of V-SPAR.
s belongs to the set of V star
arc max sub s sub a e sub x is this morphic to g of f to the power of t e sub psi s sub o direct sum s sub a of x t s sub o || Art max sub s sub a e sub x is isn't more thick to g of f to the power of t e sub psi s sub o direct sum s sub a of x t s sub o.
argmax sub s sub a, E sub x is isomorphic to G of F to the power of t, E sub psi, s sub o direct sum s sub a, A of x, t, s sub o.
cos of v v sub t superscript image plus lambda cos of v v sub t superscript 3. || of V sub T superscript image plus lambda cos of V V sub T superscript 3.
cos of v, v sub t superscript image, plus lambda cos of v, v sub t superscript 3.
The cosine of the sum of A and B equals a transpose times B divided by the norm of A times the norm of B. || It closes in of the sum of A and B equals a transpose times B divided by the norm of a times the norm of B.
The cosine of the sum of a and b equals a transpose times b divided by the norm of a times the norm of b.
512 times 51 || 512 times 51.
Five hundred twelve times fifty-one.
E sub psi of S sub o direct sum S sub e equals E sub psi of S sub o direct sum E sub psi of S sub e. || I sub sāyavis sub odretsa mis sub a'ikulz, I sub sāyavis sub odretsa mis sub sāyavis sub a.
E sub psi of s sub o direct sum s sub a equals E sub psi of s sub o direct sum E sub psi of s sub a.
The line asks greater than L. || Lane is greater than L.
- ln s greater than L.
The sub-t superscript image equals s superscript, I open parenthesis x sub t closed parenthesis. || v sub t superscript image equals f superscript. i open parenthesis x sub t close parenthesis.
v sub t superscript image equals F superscript i open parenthesis x sub t close parenthesis
Peace out, Ben. || D sub M.
dee sub emb
ard max sabah sabah kuzin of f to the power of a isab sahib s sabah direk samah sabah. Kamabhi samti. || Ardmax sub S subacusin of F to the power of IV sub psi of S sub O direct sum S sub E comma V sub T.
argmax sub s sub a cosine of F to the power of i of E sub psi of s sub o direct sum s sub a, comma v sub t.
s prime equals. || S crime equals.
s prime equals.
superscript3astrasp. || SuperScript 3 Astros
Superscript 3, asterisk.
See left arrow Z minus it's on made with some ZL. || Z left arrow Z minus it's a navel sub ZL.
Z left arrow Z minus eta nabla sub Z L
S-Savo Direct Sun, S-Some. || a subwoo direct sum is subwoo
s sub o direct sum s sub a
S-TV equals f to the i of the sub psi of s sub o direct sum is sub a. || is tv equals f to the i of the subscibe sub o direct sum or sub a.
s t v equals F to the i of E sub psi of s sub o direct sum s sub a.
Double-struct v equals the set containing w sub 1, w sub 2, dot, dot, dot, w sub absolute value of v. || Double-struck the equals the set containing W, some one, W, some two, dot, byte, dot, W sub absolute value of V.
Double-struck V equals the set containing w sub 1, w sub 2, dot dot dot, w sub absolute value of V.
s dark t || S dot T.
s dot t
E sub psi of s sub i equals psi sub j. || He subsides of S sub i equals sin sub j.
E sub psi of s sub i equals psi sub j.
5 times pretty equals trendy. || 5 times for equals 20.
Five times four equals twenty.
3 times 1 on drew. || Three times more and hundred.
three times one hundred.
v left arrow f to the power of t of e sub psi of s sub o direct sub pro sub psi of z || The left arrow F to the power of T-R-E sub-sy of S-sun, O direct sum pro on sub-sy of Z.
v left arrow F to the power of t of E sub psi of s sub o direct sum Proj sub psi of Z
The script L equals negative cousin of V, V sub T superscript image minus lambda cousin of V, V sub T superscript 1. || script L equals negative cousin V, V subti superscript image, minus lambda collosant of V, V subti superscript 1.
The script L equals negative cosine of v, v sub t superscript image, minus lambda cosine of v, v sub t superscript 1.
s sub o belongs to the set of n dimensional v to the power of n. || as sub-oble loans to this set of end-dimensional v to the power of n.
s sub o belongs to the set of n-dimensional V to the power of n.
A sublifte arrow d sub psi inverse of prod sub psi of minus c. || A sub left arrow, a subscibe inverse of pro, subscibe of minus z.
s sub a left arrow E sub psi inverse of proj sub psi of minus Z
Best left arrow in 30, second arrow Z, left arrow Z. || Best left arrow infinity, second arrow Z, left arrow Z.
Best left arrow infinity, second arrow Z, left arrow Z.
Equals if to the power of i open parenthesis e sub psi open parenthesis as sub o direct sum e sub psi to the power of negative 1 open parenthesis pro sub psi of z close parenthesis close parenthesis || equals f to the power of i, open parenthesis, e sub psi, open parenthesis. s sub o, direct sum, e sub psi to the power of negative one open parenthesis. Pro sub psi of z, e close parenthesis, close parenthesis.
Equals F to the power of i, open parenthesis, E sub psi, open parenthesis, s sub o, direct sum, E sub psi to the power of negative 1, open parenthesis, Proj sub psi of Z, close parenthesis, close parenthesis.
t belongs to the set of capital V. || T belongs to the set of capital V.
t belongs to the set of capital V
X similar to G of V. || X similar to G of V.
ex similar to gee of vee
De-subtoken. || Deep sub token.
d sub token
as suba belongs to the set of v to the power of m. || as sub-abolones to the set of v to the power of m.
s sub a belongs to the set of V to the power of m
w sub j equals s sub i. || w sub j equals sub i.
W sub j equals s sub i.
T belongs to the set B. || Tiva longs to this set V.
t belongs to the set V.
X is distributed as g of the function f to the power of t of the function e sub psi of s. || x is distributed as g of the function f to the power of t of the function e sub psi of s.
x is distributed as G of the function F to the power of t of the function E sub psi of s.
and subsite. || He's so upset.
E sub psi
J equals the argument minimum over J prime of the norm of psi sub J prime minus Z sub i squared. || j equals the argument minimum over j prime of the norm of size sum j prime minus z sub i squared.
j equals the argument minimum over j prime of the norm of psi sub j prime minus Z sub i squared.
Absolute value of s times d sub token. || Absolute value of S times D sub token.
Absolute value of s times d sub token.
Ardmikovv sub t, e sub x isomorphic to g of v sub t, a of x, t, s sub o. || Ardmat over v sub t, the sum x is a more fit to g of v sub t of x, ks sub o.
argmax over v sub t, E sub x is isomorphic to G of v sub t, A of x, t, s sub o.
E sub L union E sub R || The Sub-El Union Isabar.
E sub L union E sub R
The sub-billed equals a set of all ordered pairs u, w such that u, w is an e, w not equal to v. || A sub L equals the set of all ordered pairs u, w such that u, w is in e, w not equal to v.
E sub L equals the set of all ordered pairs (u, w) such that u, w is in E, w not equal to v.
v sub 1, v sub 2 belongs to the closure of v sub m. || V sub 1, V sub 2 belongs to the closure of V sub M.
v sub 1, v sub 2 belongs to the closure of V sub m.
absolute value of delta e' equals w star. || absolute value of delta e prime equals w star.
Absolute value of Delta E prime equals w star.
one less than or equal to j which is less than or equal to k. || One less ban or equal to j, which is less than or equal to pay.
One less than or equal to j, which is less than or equal to k.
are calligraphic. || our Cal destruction.
R caligraphic
i of d prime is less than or equal to pi of g minus d. || pi of g prime is less than or equal to pi of g minus d.
Pi of G prime is less than or equal to pi of G minus d.
n sub r times the absolute value of y minus c times k prime underbrush n sub r times the absolute value of y minus b minus c times the absolute value of k between the sub-th of w sub 2 and the absolute value of v || and sub are times the absolute value of y minus c times k prime underbrace. And sub are times the absolute value of y minus b minus c times the absolute value of k between the sub half of w sub 2 and the absolute value of v.
n sub R times the absolute value of y minus C times k prime, underbrace, n sub R times the absolute value of y minus B minus C times the absolute value of k, between the subpath of w sub 2 and the absolute value of v.
operator named min of E of M sub L star, comma, E of M sub R star. || Operator named Minnevi Evem Sado Star, comma, Evem Sado Star.
Operator name min of E of M sub L star, comma, E of M sub R star.
He subscript and equals Oaken curly brace, he carried asterisk close curly brace. || He subscribed and equals open curly brace, a carrot asterisk close curly brace.
E subscript m equals open curly brace e caret asterisk close curly brace.
n sub L times n sub R times the absolute value of x plus y minus minus b minus c arrow n sub R equals zero. || and sub L times and sub are times the absolute value of x plus y minus a minus b minus c arrow and sub R equals zero.
n sub L times n sub R times the absolute value of x plus y minus A minus B minus C, arrow, n sub R equals 0.
V sub i and V sub l. || V sub i and V sub L.
vee sub i in Vee sub L
M sub R star is in equilibrium with MP set. || M sub our star is in equilibrium with empty set.
M sub R star is in equilibrium with empty set.
alpha sub 1 equals a minus x plus x minus a minus b less than the tricharouserou less than b. || Alpha sum 1 equals a minus x plus x minus a minus b, less than b, right? Tarot 0, or less than 2b.
Alpha sub 1 equals A minus x plus x minus A minus B, less than B xrightarrow 0 less than 2B.
U, V belongs to V. || you V belongs to V.
u, v belongs to V.
and subel open parenthesis, absolute value of x minus n plus absolute value of x minus of minus b, close parenthesis. || and subl, open parentheses, absolute value of x minus a, plus absolute value of x minus a minus b, close parentheses.
n sub L, open parenthesis, absolute value of x minus A, plus absolute value of x minus A minus B, close parenthesis.
E sub l superscript i plus 1 minus E sub l superscript i equals and sum l times open parenthesis. i plus 1 plus parenthesis w sub i plus 1 minus open parenthesis k minus i plus parenthesis w sub i plus 1 close parenthesis. || E sub L superscript at plus 1 minus E sub L superscript I equals and sub L times open parenthesis I plus 1 closed parenthesis W sub I plus 1 minus open parenthesis K minus I close parenthesis W sub I plus 1 closed parenthesis
E sub L superscript i plus 1 minus E sub L superscript i equals n sub L times open parenthesis i plus 1 close parenthesis w sub i plus 1 minus open parenthesis k minus i close parenthesis w sub i plus 1 close parenthesis.
w' of e sum i equals w of e sum i plus w of e star. || W prime of e sub i equals w of e sub i plus w of e sub
W prime of e sub i equals W of e sub i plus W of e star.
sub or lift arrow arrow some some for all these sub I need sub RR sub I || S sub or left arrow or some sub four or the sub I any sub or sub I
S sub R left arrow arrow sum sub forall e sub i in E sub R R sub i
u v belongs to g sub 1. || Do V belongs to G sub 1.
u, v belongs to G sub 1
Delta Open Parantices. Mark. Subscribe. Write Close Parantices. || Bell to open parentheses. Mark, subscribe to write close parentheses.
Delta open parenthesis, MARK, subscript right close parenthesis.
operator named in the expectation of m sub r star comma e of m sub l star is less than or equal to e of m. || Operator name Min of the expectation of M sub R star, comma E of M sub L star, is less than or equal to E of M.
Operator name min of the expectation of M sub R star, comma, E of M sub L star, is less than or equal to E of M.
Mathcal l minus open parenthesis fraction, mathcal l over n sub l plus n sub r times 1 minus. Mathcal r close parenthesis divided by 2 times n sub l equals fraction. Mathcal l over n sub l minus n sub r times 1 minus. Mathcal r divided by 2 times n sub l. || Machl L minus open parenthesis fraction, Machl L over n sub L plus n sub, are times 1 minus Machl, are close parenthesis divided by two times n sub L equals fraction, Machl L over n sub L minus n sub, are times 1 minus Machl, are divided by two times n sub L.
Mathcal L minus open parenthesis fraction mathcal L over n sub L plus n sub R times 1 minus mathcal R close parenthesis divided by 2 times n sub L equals fraction mathcal L over n sub L minus n sub R times 1 minus mathcal R divided by 2 times n sub L.
T sub j superscript R. || Tees of J. SuperScript are.
T sub j superscript R
phi of x equals x divided by alpha minus beta. || phi of x equals x divided by alpha minus beta.
Phi of x equals x divided by alpha minus beta.
E equals E sub r. || P equals E sub bar.
E equals E sub R.
s sub r minus s sub l is less than or equal to or sub i. || S sub R minus S sub L is less than or equal to or sub I.
S sub R minus S sub L is less than or equal to R sub i.
and sub l greater than or equal to zero. || and sub L greater than or equal to zero.
n sub L greater than or equal to zero
C sub to greater than or equal to epsilon. || C sub 2 greater than or equal to epsilon.
c sub 2 greater than or equal to epsilon
erased to the power of asterisk sub k equals open parenthesis u sub j, common u sub j plus one close parenthesis. || E raised to the power of asterisk sub k equals open parenthesis u sub j, comma u sub j plus one close parenthesis.
e raised to the power of asterisk sub k equals open parenthesis u sub j, comma u sub j plus 1 close parenthesis.
Absolute value of delta equals absolute value of v sub m times the quantity w star sub 1 plus dot dot dot plus w star sub k equals and minus to k times the quantity w star sub 1 plus dot dot dot plus w star sub k. || Absolute value of delta 8 equals absolute value of v sub m times the quantity w star. sub 1 plus dot dot dot plus w star sub k equals in minus 2k times the quantity w star. sub 1 plus dot dot dot plus w star sub k.
Absolute value of Delta E equals absolute value of V sub m times the quantity w star sub 1 plus dot dot dot plus w star sub k equals n minus 2k times the quantity w star sub 1 plus dot dot dot plus w star sub k.
E sub 1, E sub 2, dot, dot, dot, E sub k. || Is someone? Is someone? Dot, dot, dot. Is somebody?
e sub 1, e sub 2, dot dot dot, e sub k.
left absolute value of the sum from k equals n sub one plus one to j minus two of epsilon sub k right absolute value. || Left absolute value of the sum from key equals and sub 1 plus 1 to j minus, to the epsilon sub p right absolute value.
Left absolute value of the sum from k equals n sub 1 plus 1 to j minus 2 of epsilon sub k right absolute value.
He's subbing bar. || He served him bar.
E sub m bar
He raised to the power of asterisk belongs to E. || E raised to the power of asterisk belongs to E.
e raised to the power of asterisk belongs to E.