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sum_(k=1)^n k = 1+2+ cdots +n=(n(n+1))/2 | `sum_(k=1)^n k = 1+2+ cdots +n=(n(n+1))/2` |
f(x) = sum_(n=0)^oo (f^((n))(a))/(n!)(x-a)^n | `f(x) = sum_(n=0)^oo (f^((n))(a))/(n!)(x-a)^n` |
f(x) = sum_(i=1)^ni^3x | `f(x) = sum_(i=1)^ni^3x` |
f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n | `f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n` |
f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n | `f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n` |
f(t)=(a_0)/2 + sum_(n=1)^ooa_ncos((npit)/L)+sum_(n=1)^oo b_n\ sin((npit)/L) | `f(t)=(a_0)/2 + sum_(n=1)^ooa_ncos((npit)/L)+sum_(n=1)^oo b_n\ sin((npit)/L)` |
x^2+y_1+z_12^34 | `x^2+y_1+z_12^34` |
sin^-1(x) | `sin^-1(x)` |
d/dxf(x) = lim_(h->0)(f(x+h)-f(x))/h | `d/dxf(x) = lim_(h->0)(f(x+h)-f(x))/h` |
frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h} | `frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}` |
f(x) = {(1,if x=0), (0,if x>=0):} | `f(x) = {(1,if x=0), (0,if x>=0):}` |
a//b | `a//b` |
(a/b)/(c/d) | `(a/b)/(c/d)` |
a/b/c/d | `a/b/c/d` |
((a*b))/c | `((a*b))/c` |
sqrt root3x | `sqrt root3x` |
sqrt sqrt root3x | `sqrt sqrt root3x` |
<< a,b >> and {:(x,y),(u,v):} | `<< a,b >> and {:(x,y),(u,v):}` |
(a,b]={x in RR | a < x <= b} | `(a,b]={x in RR | a < x <= b}` |
abc-123.45^-1.1 | `abc-123.45^-1.1` |
hat(ab) bar(xy) ulA vec v dotx ddot y | `hat(ab) bar(xy) ulA vec v dotx ddot y` |
stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=) | `stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=)` |
{::}_(\ 92)^238U | `{::}_(\ 92)^238U` |
[(1,2,3),(4,8,3),(-5,4,9)] | `[(1,2,3),(4,8,3),(-5,4,9)]` |
[[a,b],[c,d]]((n),(k)) | `[[a,b],[c,d]]((n),(k))` |
[[a,b,|,c],[d,e,|,f]] | `[[a,b,|,c],[d,e,|,f]]` |
[[a,b],[c,d]]((n),(k)) | `[[a,b],[c,d]]((n),(k))` |
((a,b),(c,d))^-1 = 1/(ad-bc)((d,-b),(-c,a)) | `((a,b),(c,d))^-1 = 1/(ad-bc)((d,-b),(-c,a))` |
((a_(11), cdots , a_(1n)),(vdots, ddots, vdots),(a_(m1), cdots , a_(mn))) | `((a_(11), cdots , a_(1n)),(vdots, ddots, vdots),(a_(m1), cdots , a_(mn)))` |
{(2x,+,17y,=,23),(x,-,y,=,5):} | `{(2x,+,17y,=,23),(x,-,y,=,5):}` |
A = pi r^2 | `A = pi r^2` |
a^2 + b^2 = c^2 | `a^2 + b^2 = c^2` |
int_0^1 x^2 dx | `int_0^1 x^2 dx` |
int_0^1f(x)dx | `int_0^1f(x)dx` |
int_-1^1 sqrt(1-x^2)dx = pi/2 | `int_-1^1 sqrt(1-x^2)dx = pi/2` |
int_(0)^(2 pi) sin\ x\ dx = 0 | `int_(0)^(2 pi) sin\ x\ dx = 0` |
x^2+y_1+z_12^34 | `x^2+y_1+z_12^34` |
x/x={(1,if x!=0),(text{undefined},if x=0):} | `x/x={(1,if x!=0),(text{undefined},if x=0):}` |
(CH_3H_4O_2)_n | `(CH_3H_4O_2)_n` |
P_4O_10 + H_2O rarr H_3PO_4 | `P_4O_10 + H_2O rarr H_3PO_4 ` |
2Na + 2H_2O -> 2NaOH + H_2O | `2Na + 2H_2O -> 2NaOH + H_2O` |
NH_4^+(aq) + NO_2^- " "rarr N_2(g) + 2H_2O(l) | `NH_4^+(aq) + NO_2^- " "rarr N_2(g) + 2H_2O(l)` |
P=E/T=1/2muomega^2A^2lambdaf=1/2muomega^2A^2upsilon | `P=E/T=1/2muomega^2A^2lambdaf=1/2muomega^2A^2upsilon` |
DeltaF_y=Ttan(theta_2) - Ttan(theta_1)=T(tan(theta_2) - tan(theta_1))=muDeltax_y | `DeltaF_y=Ttan(theta_2) - Ttan(theta_1)=T(tan(theta_2) - tan(theta_1))=muDeltax_y` |
upsilon_b=sqrt{(2g(H-h))/(1-(a/lambda)^2} | `upsilon_b=sqrt{(2g(H-h))/(1-(a/lambda)^2}` |
intdv_x=int(m_2 - m_1)/(m_1 + m_2) g t + C | `intdv_x=int(m_2 - m_1)/(m_1 + m_2) g t + C` |
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