formula stringlengths 5 635 | image stringlengths 80 86 |
|---|---|
p _ 2 = a \sqrt { \tau ^ 2 + \omega ^ 4 } | 795146b0-3b33-11e7-ad2f-005056827e51__mathematical-expression-and-equation_11.jpg |
a _ 0 = a - \alpha , b _ 0 = b - \beta | 799a3ff0-ee5e-11ea-8ce6-005056825209__mathematical-expression-and-equation_4.jpg |
C _ K = \int _ 0 ^ \infty \cos [ \frac { 2 \pi } { \lambda } \rho _ K + \delta _ K + \xi ^ 2 - u _ K ^ 2 ] d \xi , | 7a50a752-a805-44e3-9fda-7e569b4752d5__mathematical-expression-and-equation_10.jpg |
\frac { p _ 1 } { p } = \frac { P _ 1 + Q _ 1 } { P + Q } = \frac { v _ 1 ^ { \prime 2 } V } { v ^ 2 V _ 1 } | 7a98cafa-32cb-439f-ad32-fba522327aef__mathematical-expression-and-equation_1.jpg |
n = p ( 1 - V s ) | 7b8da8c2-0d86-11e8-8ee8-001b63bd97ba__mathematical-expression-and-equation_1.jpg |
\log { \frac { 4 3 3 8 8 2 3 7 } { 3 1 7 } } = 5 . 1 3 6 3 1 = \log { 1 3 6 8 7 _ 0 } | 7c1f6430-ee5e-11ea-8ce6-005056825209__mathematical-expression-and-equation_6.jpg |
\Omega _ { z } \equiv \Omega = - ( \frac { \partial ^ 2 \Psi } { \partial x ^ 2 } + \frac { \partial ^ 2 \Psi } { \partial y ^ 2 } ) = - \Delta \Psi | 7c61492c-f978-4981-a152-bd3aa8149e16__mathematical-expression-and-equation_3.jpg |
M = \Sigma m | 7dd1da43-bfb1-4b0b-bfa7-ed54862859a7__mathematical-expression-and-equation_13.jpg |
S _ { 2 } = \sum _ { \mu = 0 } ^ { p - 1 } f ^ { ( 2 n ) } ( a + \mu h + w k ) | 7e160d06-9859-49b8-9054-d2a109facbba__mathematical-expression-and-equation_0.jpg |
\frac { d x _ j } { d t } = I _ j - a _ j x _ j - f ( \sum _ { i } c _ { j i } I _ i ) x _ j + b _ j | 7e949218-7754-455b-9699-c13ee205b79e__mathematical-expression-and-equation_2.jpg |
\cos . ( \alpha + \beta ) + \cos . ( \alpha - \beta ) = 2 \cos . \alpha \cos . \beta | 7f1f9cfe-3402-4cdf-a912-a7558cc662d9__mathematical-expression-and-equation_11.jpg |
- \frac { P _ 2 \prime - P _ 2 } { 2 P _ 2 } = \frac { k ^ 2 - 1 } { 2 } ( \frac { P _ 0 } { P _ 2 } - 1 ) | 81f016b5-2606-47d6-b90f-ae9580ea85c1__mathematical-expression-and-equation_3.jpg |
[ l ( 1 + \frac { 1 } { K } ) - \frac { 1 } { K } ] < \frac { 1 } { K ^ 2 } \cdot \frac { 1 } { 2 m ^ 2 } . | 8242bf10-eec1-11e6-8d33-005056825209__mathematical-expression-and-equation_5.jpg |
K _ 1 ( \frac { \partial ^ 2 \xi } { \partial t ^ 2 } + \sum A _ a \ddot { \phi } _ a ) = 4 \xi - \frac { \partial \sigma } { \partial x } | 82595389-5d76-49d0-b1e4-5370cb0894f3__mathematical-expression-and-equation_1.jpg |
b _ y = 2 ( \frac { 1 } { L } ( \sum x _ i \sum z _ i - \sum x _ i z _ i ) , | 82893839-43ab-4520-95aa-199f206771b6__mathematical-expression-and-equation_1.jpg |
\sigma = \frac { 1 } { G } \cdot p | 8377aea0-de9d-11e7-8cdd-5ef3fc9bb22f__mathematical-expression-and-equation_0.jpg |
7 = 4 + 2 + 1 | 845e7fe7-bf5b-11e1-3052-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\tilde { g } ( \boldsymbol { u } ) = ( 1 + u ^ 2 ) ^ { \sigma / 2 } g ( \boldsymbol { u } ) ( \boldsymbol { u } \in \mathbb { R } ^ 3 ) | 85e168ce-f8fd-4c4d-84b4-d6bba9049639__mathematical-expression-and-equation_10.jpg |
b _ 1 ^ 2 = \frac { b ^ 4 \cos ^ 2 \alpha + a ^ 4 . \sin ^ 2 \alpha } { b ^ 2 \cos ^ 2 \alpha - a ^ 2 . \sin ^ 2 \alpha } | 86dd6160-f46c-11e7-ae40-001b63bd97ba__mathematical-expression-and-equation_5.jpg |
S = x X + y Y + z Z | 87273b68-67ca-11e8-bf34-00155d012102__mathematical-expression-and-equation_0.jpg |
N e = \frac { P \cdot x \cdot v } { 7 5 } | 877c41c0-ee60-11ea-9e1b-5ef3fc9bb22f__mathematical-expression-and-equation_0.jpg |
x _ 3 = x _ 1 + \frac { 1 } { 3 } ( \mu h _ 2 + 2 \nu h _ 3 ) = x _ 1 + \frac { 1 } { 3 } ( \nu h _ 3 - \lambda h _ 1 ) | 87992165-316f-11e7-bc1a-00155d012102__mathematical-expression-and-equation_11.jpg |
C _ { \mu - 2 } = \cos . s \theta | 879e2940-e348-11e8-9445-5ef3fc9bb22f__mathematical-expression-and-equation_28.jpg |
\bar { \eta } \prime \prime \prime + 3 Q \bar { \eta } \prime + ( 3 Q \prime - R ) \bar { \eta } = 0 | 889a8a21-118d-47a5-9fed-6727f92fcce2__mathematical-expression-and-equation_3.jpg |
T _ 1 = 0 . 2 7 6 ( p _ 1 - p _ 2 ) [ \frac { 2 7 3 } { T } ] ^ 2 | 88cfe1f0-fe4a-437b-b20d-044bb0e61e03__mathematical-expression-and-equation_0.jpg |
\frac { \Delta } { \rho _ n } = \frac { \cos ^ 2 \theta } { \rho _ 1 } + \frac { \sin ^ 2 \theta } { \rho _ 2 } | 88d6e480-7aa3-11e4-964c-5ef3fc9bb22f__mathematical-expression-and-equation_0.jpg |
t \ge t _ 0 | 89a156dc-7b0b-44e7-b977-0c7222a88c58__mathematical-expression-and-equation_6.jpg |
r a _ y - y a _ n = - \frac { y z g } { r } | 89c817f5-f710-11e9-94c9-001999480be2__mathematical-expression-and-equation_8.jpg |
B _ 1 = - B _ 2 = \frac { c } { \gamma - \omega } | 89c81804-f710-11e9-94c9-001999480be2__mathematical-expression-and-equation_8.jpg |
\frac { A _ 3 } { B _ 3 } = \frac { - \cos \alpha z } { - \cos \beta z } = \frac { \sin A z . \sin t } { \cos A z . \sin t } = \tan A z | 8a21df8e-b9f4-11e1-2544-001143e3f55c__mathematical-expression-and-equation_7.jpg |
\alpha = 9 0 ^ { \circ } - \frac { \alpha + \beta } { 2 } \equiv 8 8 ^ { \circ } 5 1 \prime 1 5 \prime \prime | 8ae2daf0-ef95-11ea-819e-5ef3fc9ae867__mathematical-expression-and-equation_1.jpg |
a _ 2 : a _ 5 = b _ 2 : b _ 5 , | 8b5bd3b0-19ee-11e5-b642-005056827e51__mathematical-expression-and-equation_6.jpg |
u = v + \frac { v } { 3 } = \frac { 4 } { 3 } v . ^ { 2 2 5 } ) | 8b867240-e3eb-11e2-b28b-001018b5eb5c__mathematical-expression-and-equation_1.jpg |
A = \frac { 1 } { 2 } M ( r _ 1 ^ 2 + r _ 2 ^ 2 ) | 8c2f73b0-7a06-11e4-964c-5ef3fc9bb22f__mathematical-expression-and-equation_0.jpg |
e x p [ i ( \rho _ 1 ^ + + \rho _ 2 ^ - + \rho _ 3 ^ - - A _ 1 + A _ 2 - A _ 3 - A _ 4 + A _ 5 + A _ 6 ) | 8cc2343c-8d2c-4a4d-8999-950f9861d3b0__mathematical-expression-and-equation_9.jpg |
a _ 0 + \frac { 1 } { a _ 1 } + \frac { 1 } { a _ 2 } + \dots + \frac { 1 } { a _ { k - 1 } } + \frac { 1 } { a _ k } , | 8d084b30-19ee-11e5-b642-005056827e51__mathematical-expression-and-equation_4.jpg |
c f m + a d f n + b c g m + b d g n = a c f m + a d g m + b c f n + b d g n | 8d64290e-22b1-11ec-af09-001b63bd97ba__mathematical-expression-and-equation_13.jpg |
+ [ p b c . 1 ] \{ y + \frac { [ p b c . 1 ] } { [ p b b . 1 ] } z - \frac { [ p b o . 1 ] } { [ p b b . 1 ] } \} | 8e3eb95a-f46c-11e7-ae40-001b63bd97ba__mathematical-expression-and-equation_1.jpg |
x K = 1 1 \cdot 4 1 K | 8e4b5c30-1012-11e9-91df-005056825209__mathematical-expression-and-equation_10.jpg |
\frac { b } { u ^ 4 } + \frac { b } { u ^ 5 } + \dots + \frac { b } { u ^ n } + | 8e76e4a0-6b5a-11e0-9737-0013d398622b__mathematical-expression-and-equation_3.jpg |
O q r n = \frac { x \prime y } { 2 } + \frac { b ^ 2 } { 2 } \arcsin \frac { y } { b } | 8f3c1934-285c-4c44-b1aa-ab85df79287d__mathematical-expression-and-equation_7.jpg |
\Bmatrix S _ x \\ S _ y \\ S _ z \Bmatrix | 9003dc90-ef3a-11e2-a0b3-5ef3fc9bb22f__mathematical-expression-and-equation_12.jpg |
O C : O C \prime = O D : O D \prime = q | 9050bde0-0ae4-11e5-ae7e-001018b5eb5c__mathematical-expression-and-equation_0.jpg |
2 R = 1 7 2 . 4 c / m = 1 7 . 2 4 d m | 907f431f-099e-4a2f-9d62-2ed3a0f06877__mathematical-expression-and-equation_0.jpg |
u = \frac { a + x } { x } \sqrt { a ^ 2 + x ^ 2 - 2 a x \cos \alpha } ; | 92143609-460d-4acf-a65c-d576f8a8388d__mathematical-expression-and-equation_1.jpg |
N P = \xi + \delta | 92c855e0-76ad-11e4-9605-005056825209__mathematical-expression-and-equation_5.jpg |
u _ z = \frac { 4 U } { \pi } \sum _ { n = 1 , 3 , 5 \dots } ^ { \infty } \frac { 1 } { n } \frac { s h ( n \pi \frac { y } { W } ) } { s h ( n \pi \frac { H } { W } ) } \sin ( n \pi \frac { x } { W } ) | 92efa340-2578-45fd-aa43-dc63fcf5ae05__mathematical-expression-and-equation_0.jpg |
\int _ { \Theta } \exp { ( - \sum _ { i = 1 } ^ { n } \rho ( X _ i , \theta ) + \ln { \pi ( \theta ) ) } } d \theta = | 9348f0cf-3e83-452d-b7ad-4b1bd1aab328__mathematical-expression-and-equation_5.jpg |
\mathcal { M } ( 1 3 6 5 , 3 3 4 5 ) = 3 . 5 = 1 5 | 93a64d05-72c6-4388-a163-ec44cfc0c60e__mathematical-expression-and-equation_11.jpg |
1 , 2 , 3 , \dots ( n - 1 ) , n . | 93fcd780-19ee-11e5-b642-005056827e51__mathematical-expression-and-equation_8.jpg |
\frac { 2 \xi _ \sigma } { \sigma } = \sqrt { \frac { \alpha _ 0 } { \alpha _ 2 } \frac { 1 - \eta } { \eta } } \{ 1 - \frac { 1 } { 2 } ( \frac { 1 - \eta } { \eta } - \frac { \alpha \prime _ 2 } { \alpha \prime _ 0 } + \frac { 1 } { 4 } [ ( \frac { \alpha _ 1 } { \alpha _ 0 } ) ^ 2 - | 941346f5-62d2-4a86-be7e-803471d3c3b9__mathematical-expression-and-equation_2.jpg |
m = \frac { 3 } { 2 } , m ^ 2 = \frac { 3 ^ 2 } { 2 ^ 2 } , m ^ 3 = \frac { 3 ^ 3 } { 2 ^ 3 } | 94407eed-c789-4ea0-b2b7-61f54ff2a80e__mathematical-expression-and-equation_0.jpg |
u = a ^ 2 ( 3 \pm 2 \sqrt { 2 } ) | 951dbcc4-5fc9-41c6-bc91-9b30e467aa87__mathematical-expression-and-equation_14.jpg |
B = \frac { g } { q ^ { 2 ( m + n ) - 1 } } \frac { q ^ { 2 m } - 1 } { q - 1 } | 954f9987-c467-4bda-a9d6-18ea90db1d0f__mathematical-expression-and-equation_3.jpg |
k = \frac { K } { a _ m a _ z } ( \frac { a _ m - a _ { m + 1 } } { q } a _ { z + 1 } + \frac { a _ { m + 1 } - a _ { m + 2 } } { q ^ 2 } a _ { z + 2 } + \frac { a _ { m + 2 } - a _ { m + 3 } } { q ^ 3 } a _ { z + 3 } + \dots ) | 967fb1d0-19ee-11e5-b642-005056827e51__mathematical-expression-and-equation_2.jpg |
\frac { d } { d x } ( E - 2 H I _ s x ) = 0 | 97198d2f-4334-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg |
\frac { d i _ o } { d t } + \frac { i _ o } { T } = K | 97d208e3-4334-11e1-3052-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\theta _ { n j } ^ 2 = ( \frac { s _ { n j } } { a } ) ^ 2 | 97d20994-4334-11e1-3052-001143e3f55c__mathematical-expression-and-equation_0.jpg |
Y _ { s = i \omega } = - \frac { i \omega } { 2 \pi \Omega _ 1 } \int _ { 0 } \int _ { 0 } \frac { 2 \cos \theta } { n ^ 2 \cos \theta + \sqrt { n ^ 2 - 1 + \cos ^ 2 \theta } } | 98a5fa6c-4334-11e1-7963-001143e3f55c__mathematical-expression-and-equation_1.jpg |
S ^ e _ { p \text { m a x } } = 3 7 5 0 0 0 | 98a5fbe6-4334-11e1-7963-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\rcases d X = \frac { \mu i } { r ^ 3 } \{ \eta \cos { \phi } + \zeta \sin { \phi } - \rho \} \rho d \phi \\ d Y = \frac { \mu i } { r ^ 3 } ( x - \xi ) \rho \cos \phi d \phi \\ d Z = \frac { \mu i } { r ^ 3 } ( x - \xi ) \rho \sin \phi d \phi \rcases \text | 99614460-eea2-11e6-a8e7-001018b5eb5c__mathematical-expression-and-equation_6.jpg |
\epsilon = k _ 1 \log A + k _ 2 | 9979c53c-4334-11e1-1589-001143e3f55c__mathematical-expression-and-equation_0.jpg |
y _ x = \mu _ 1 \rho _ 1 ^ x + \mu _ 2 \rho _ 2 ^ x | 99fd1b6d-c1f2-11eb-a5d1-001b63bd97ba__mathematical-expression-and-equation_10.jpg |
J _ A \cdot 8 5 0 - 1 5 . 5 7 5 - 1 5 . 4 2 5 = 0 | 9a3c4f40-f597-11e7-b30f-5ef3fc9ae867__mathematical-expression-and-equation_4.jpg |
\int _ { \bar { M } } [ \psi \Delta \phi + ( \nabla \phi , \nabla \psi ) ] d v = \int _ { \partial M } \psi ( n , \nabla \phi ) d \eta | 9a5bae78-7fd0-4bfa-8a5d-85565d54a6f1__mathematical-expression-and-equation_4.jpg |
\frac { \tan \alpha + \tan \beta } { 1 - \tan \alpha \tan \beta } = 1 | 9ac966a2-9aa1-4a99-b0f2-07df75d18f4a__mathematical-expression-and-equation_0.jpg |
y = m x + \frac { p } { 2 m } | 9b130268-f5f2-48f3-bd79-8c77578d506d__mathematical-expression-and-equation_1.jpg |
\frac { 1 } { \bar { n } } = \frac { N A } { \xi } \bar { t } _ k + \frac { 1 - q } { q ( p - 1 ) } \cdot \frac { N B } { \xi } \cdot \bar { t } _ k ^ 2 | 9b285e84-4334-11e1-1589-001143e3f55c__mathematical-expression-and-equation_0.jpg |
\omega = | \gamma _ e | \mathrm { H } _ 0 | 9b285eed-4334-11e1-1589-001143e3f55c__mathematical-expression-and-equation_3.jpg |
\S 7 | 9bcf05ab-72ff-4aa5-8cb5-0f4c614c5bdf__mathematical-expression-and-equation_9.jpg |
V _ { g z } < V _ { g } < 0 | 9bff5f2f-4334-11e1-7963-001143e3f55c__mathematical-expression-and-equation_7.jpg |
\bar { \psi } \prime = \bar { \psi } \mathrm { e } ^ { i \frac { 1 } { 2 } \alpha \gamma _ 3 } | 9bff5fb0-4334-11e1-7963-001143e3f55c__mathematical-expression-and-equation_14.jpg |
K \prime \prime ( \mu ) = \pi \sum _ { k = 1 } ^ { \infty } ( - 1 ) ^ { k + 1 } E _ k ^ * \sinh k \pi \frac { \cosh k \pi \frac { 1 } { 2 } \mu } { \cosh k \pi \mu } | 9bff5fc4-4334-11e1-7963-001143e3f55c__mathematical-expression-and-equation_3.jpg |
( x _ 2 - \alpha _ 1 ) ^ 2 + ( y _ 2 - \beta _ 1 ) ^ 2 + ( z _ 2 - \gamma _ 1 ) ^ 2 = a ^ 2 | 9c56abd5-b9f4-11e1-2544-001143e3f55c__mathematical-expression-and-equation_1.jpg |
1 8 d m - 1 d m = | 9d386e76-2dbe-11ec-b584-001b63bd97ba__mathematical-expression-and-equation_28.jpg |
- ? = 7 | 1 3 m - ? m = 4 m | 9d38e3ab-2dbe-11ec-b584-001b63bd97ba__mathematical-expression-and-equation_31.jpg |
+ \dots + A _ k ( \frac { 1 } { w _ k - u } + \frac { 1 } { u - \frac { 1 } { 2 } } ) \egroup | 9dad3de5-969a-45f1-bc65-df09fcf376e5__mathematical-expression-and-equation_6.jpg |
\frac { v _ 2 } { v _ 1 } \ge \sqrt { 1 + [ ( \frac { D _ 2 } { D _ 1 } ) ^ 2 - 1 ] ( \frac { u _ 1 } { v _ 1 } ) ^ 2 } | 9e5d29a0-32d4-11e6-a344-5ef3fc9ae867__mathematical-expression-and-equation_0.jpg |
S _ { n + 1 } = S _ n e ^ { \mu \alpha } | 9f114080-7704-11e4-9605-005056825209__mathematical-expression-and-equation_0.jpg |
\frac { d \epsilon } { d t } = \frac { 1 } { E } \frac { d \tau } { d t } + \frac { 1 } { \eta } \tau | 9f213832-4334-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg |
d N _ 2 = ( B N _ 1 \rho _ v - B N _ 2 \rho _ v - \frac { N _ 2 } { \tau } ) d t | 9fdd82dc-4334-11e1-1729-001143e3f55c__mathematical-expression-and-equation_6.jpg |
\mu = \text { c o n s t } > 0 | 9fdd8316-4334-11e1-1729-001143e3f55c__mathematical-expression-and-equation_10.jpg |
D _ f = a K _ a ^ { ( h k 0 ) } | a09e12f0-4334-11e1-1121-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\epsilon _ { i j } = \sqrt { ( \epsilon _ i \epsilon _ j ) } . | a09e1314-4334-11e1-1121-001143e3f55c__mathematical-expression-and-equation_5.jpg |
\sin \delta = \sqrt { \sin ^ 2 \alpha - \sin ^ 2 \delta _ k } . | a0d237b0-c548-11ea-9a89-005056825209__mathematical-expression-and-equation_3.jpg |
( \frac { \partial \xi } { \partial t } ) _ { i , 0 } = 2 ( \frac { \partial \xi } { \partial t } ) _ { i , 1 } - ( \frac { \partial \xi } { \partial t } ) _ { i , 2 } | a10bd4ad-d696-4a45-ad1f-1c7270d9aad9__mathematical-expression-and-equation_3.jpg |
P ( C _ { p y r } ) = P ( n c ) ^ { n ( L - 1 ) + 1 } | a1a1f3da-c1bd-4912-b209-908cda004072__mathematical-expression-and-equation_2.jpg |
\le \mu ^ { 1 - \frac { 2 } { p } } ( \Omega ) \epsilon _ { i k l } \epsilon _ { j m n } | v _ { k } | _ { L _ { \infty } ( \Omega ) } | u _ { l m } - y _ { m } ^ { s } | _ { L _ { p } ( \Omega ) } | y _ { n , l } ^ { s } | _ { L _ { p } ( \Omega ) } | a31341b3-89e6-400f-85d9-9c42397f2881__mathematical-expression-and-equation_8.jpg |
f x = x ( a - x ) | a3df5e00-8373-11e4-889a-5ef3fc9ae867__mathematical-expression-and-equation_5.jpg |
\cos h \cos a = - \sin \delta \cos \phi + \cos \delta \sin \phi \cos | a4814792-effa-49cb-960c-a8bf91bca344__mathematical-expression-and-equation_9.jpg |
y ^ 2 = 3 x ; ( \frac { 1 } { 3 } , 1 ) ; ( \frac { 4 } { 3 } , 2 ) ; ( 3 , 3 ) ; ( \frac { 1 6 } { 3 } , 4 ) ; ( \frac { 2 5 } { 3 } , 5 ) ; ( 1 2 , 6 ) ; ( \frac { 4 9 } { 3 } , 7 ) . | a51465cc-1467-49a7-a89e-6893dab3f8e0__mathematical-expression-and-equation_25.jpg |
q _ 0 + r s = H \frac { \partial Q \prime } { \partial x } + Q \prime \frac { \partial H } { \partial x } + \delta \frac { \partial M \prime } { \partial x } + \delta \prime \frac { \partial N \prime } { \partial x } + M \prime x + N \prime x \prime | a56a687e-1e2d-4b11-a004-158fc3bfdd0c__mathematical-expression-and-equation_13.jpg |
\xi = - \frac { q } { y } | a5c2ccb9-0b67-4488-a9d6-a87ad8f64c71__mathematical-expression-and-equation_17.jpg |
V _ i ^ 1 ( P ) = - ( 4 \pi ) ^ { - 1 } \iint _ S V _ i ( Q ) \frac { \partial G _ 1 } { \partial n } d \sigma | a6393426-3728-46cf-bcff-5d5e8529836d__mathematical-expression-and-equation_2.jpg |
y = - \frac { c ^ 2 } { b ^ 2 } y | a66627b2-f28a-49d4-9365-aab09ecd80e1__mathematical-expression-and-equation_10.jpg |
u ^ 2 = r \prime + r \prime \prime - 2 \sqrt { \Sigma ( \Sigma - s ) } | a6e8dd6d-335b-11e9-8d85-00155d012102__mathematical-expression-and-equation_10.jpg |
g \cos \phi - b R \cos \psi = c | a6e952cd-335b-11e9-8d85-00155d012102__mathematical-expression-and-equation_18.jpg |
\lg K _ x = \frac { 1 } { R } \sum _ { i = 1 } ^ { h } v _ i ( C _ { p i } \lg T - \frac { a _ i } { T } - C _ { p i } + b \prime _ i ) - \lg p \sum _ { i = 1 } ^ { h } v _ i ; | a78a1940-35d1-11e4-8413-5ef3fc9ae867__mathematical-expression-and-equation_3.jpg |
\eta _ i ^ 1 = \frac { \text { p l . } K } { \text { p l . } a b c e f h i a } | a7c31092-8617-11ea-a4a1-001999480be2__mathematical-expression-and-equation_0.jpg |
x = 0 | a7cd93bb-edf6-4a7a-81e5-eeba8c9eddfc__mathematical-expression-and-equation_14.jpg |
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