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{R}_{ikern0.5em,kern0.5em t}=100times left( ln {P}_{ikern0.5em,kern0.5em t}- ln {P}_{ikern0.5em,kern0.5em t-1}right),kern0.5emathrm{S}mathrm{H}m{R}kern0.62em,kern0.62em mathrm{S}mathrm{H} (3)where R i, t denotes the returns of market i on the date of t, P i, t depicts the price of market i on the date of t, and i represents ER (foreign exchange market) or SH (Shanghai stock market).
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The kurtosis and skewness are defined as follows k u r t o s i s = ¿ t = 1 n ( r t - r ¿ ) 4 ( n - 1 ) ¿ 4, s k e w n e s s = ¿ t = 1 n ( r t - r ¿ ) 3 ( n - 1 ) ¿ 3. where r t denotes the return of t th trading day, r ¿ is the mean of r, n is the total number of the data, and ¿ is the corresponding standard variance.
The name "Coca-Cola Classic" is used only in the United States and Canada, denoting the return to the original formula in 1985 after the "New Coke" debacle.
Denote the return map f : Σ 1 → Σ ; it is also C 1.
Also, α r,a,d for r = 1, ⋯, N R, a = 1, ⋯, N A, and d = 1, ⋯, N D denote the return complex reflection coefficients of targets corresponding to the radar cross-section.
Parameters {s r,a,d } (r = 1, …, N r , a = 1, …, N a and d = 1, …, N d ) denote the return coefficients from targets in the radar interest area, where s r,a,d = β k if the kth target is located at the (r, a, d th bin and s r,a,d = 0 otherwise.
Let e denote the returned edge.
The left hand side denotes the private return to human capital accumulation; i.e. the additional log wage obtained due to an additional year of schooling or experience.
where x and y signify the state and decision vectors, respectively, T represents the transformation of the process, and f(x) denotes the optimal return function with the initial state x.
end{aligned}For both equations the left-hand side denotes the social return to human capital accumulation; i.e. the additional log human capital obtained from an additional year of schooling or experience respectively.
Let us denote the expected returns of investment by Q, and the possibility of bankruptcy by σ.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com