Plotting a Semi-Log Plot as a Function of Time

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I am fairly new to Matlab plotting and I can't figure out the semi-log plotting.
I would like to plot the following as a semi-log plot:
Y-axis
  • Y = 50 for t < 0.05
  • Y = 31.38 + 0.931/t for 0.05 ≤ t ≥ 7.758
  • The Y-axis will have intervals of 0, 10, 20, 30, 40, 50, 60.
X-axis (time axis)
  • The X-axis (semi-log) would range from [0.01, 0.1, 1, 10, 100). < -- logspace (-2,2)
  • A marker for 7 to be included on the x-axis.
Any help would be appreciated. Thank you.

采纳的回答

Cris LaPierre
Cris LaPierre 2024-12-15
I'd do something like this. Let me know if you have any questions
t = logspace(-2,2);
% one way to implement a piecewise function in MATLAB
y = (50*(t<0.05) + (31.38 + 0.931./t).*(t>=0.05));
% Creat the plot
semilogx(t,y)
ylim([0,60]) % set range of visible y values. Otherwise, plot collapses to range plotted
yticks(0:10:60) % set desired ytick locations
% by default, log tick lablels are exponenents (e.g 10^-2). This displays
% the equivalent numeric representation
xticklabels(string([0.01, 0.1, 1, 10, 100]))
xline(7,'-','t=7') % add a lins at x=7. Could also use this: plot(7,0,'rx')
xlabel('Time')
  7 个评论
Walter Roberson
Walter Roberson 2024-12-16
y = (50)*(t<0.05) + (31.38 + 0.931./t).*(7.758>=t & t>=0.05) + (31.5)*(t>7.758)
Gus
Gus 2024-12-16
Thank you very much Walter. Very much appreciated.
So the logical 'AND' was needed in this case. Makes sense now.
Regards,
Gus

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