how can i write attached equation in MATLAB code

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NAVEED ULLAH 2021-11-17

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https://ww2.mathworks.cn/matlabcentral/answers/1588774-how-can-i-write-attached-equation-in-matlab-code

编辑： Walter Roberson 2021-11-21

采纳的回答： Walter Roberson

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Answer 1

Walter Roberson 2021-11-17

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https://ww2.mathworks.cn/matlabcentral/answers/1588774-how-can-i-write-attached-equation-in-matlab-code#answer_833624

在 MATLAB Online 中打开

syms Delta_P_lo Delta_x phi_lo Delta_P_f x LB UB

Delta_P_f = Delta_P_lo * (1/Delta_x .* int(phi_lo.^2, x, LB, UB, 'hold', true))

Delta_P_f =

The 'hold', true is there to prevent int() from immediately doing the integral.

is independent of x so int() would treat it as being constant in x and would immediate do the integration, leaving you with something that did not include the integration sign.

If

is dependent on x then the code would need to be changed a little to reflect that.

I had to introduce LB and UB as the bounds of integration because it happens that the 'hold' feature would be misinterpreted as being bounds if you were to try to do indefinite integration while 'hold' is on.

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Walter Roberson 2021-11-21

编辑：Walter Roberson 2021-11-21

在 MATLAB Online 中打开

syms d g mu_1 mu_v rho_1 rho_v sigma chi

GAMMA = (rho_1/rho_v)^sym(1/2) / (mu_v / mu_1)^sym(1/8)

GAMMA =

N_conf = 1/d * (sigma/ (g*(rho_1 - rho_v)))^sym(1/2)

N_conf =

phi_lo__2 = 1 + (sym(4.3) * GAMMA^2 - 1) * (N_conf * chi^sym(7/8) * (1-chi)^sym(7/8) + chi^sym(1/8))

phi_lo__2 =

syms Delta_chi Delta_P_f e_lo G L R

f_lo = (sym(0.79) * R * e_lo - sym(1.64))^(-2)

f_lo =

Delta_P_lo = 2*f_lo * G^2 * L / (rho_1 * d)

Delta_P_lo =

syms LB UB

Delta_P_f = Delta_P_lo * (1/Delta_chi .* int(phi_lo__2, chi, LB, UB, 'hold', true))

Delta_P_f =

dPf = simplify(release(Delta_P_f))

dPf =

Note that the Γ that shows up in the

result is not the same as the Γ that you define at the bottom left of the equations. The one in the results is the Gamma function -- the extension of factorials.

NAVEED ULLAH 2021-11-21