Sum Matlab from 0 to 10000 on function [closed] - matlab

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syms k
S1 = symsum(1/((2*k)+1)^2,k,0,1000)
The result is this
59039372973827482202940226722672826425297321906316082356858983822169051832268260251807527611479190413293513875429587706186073872918905490907386679472102966658686481651660967093301512141946288248492833396616338323741632085379508599235923841007033467883638349122388806376761808189104503262045883240287482992169819848342303098664924237976221795758421152603069387903705445513260596627332283139648508194960733619500093010571517561429904500013876585156927070119332440687162376758374919870699278800835146651318465663183182583101377584105366558079836223068786457324044080570317649838092783113721959819118571747662368360095513856052974454509201490370810246175872510881504730747209788019551000695511879992198550955686739483474761130248789609061549535677663474218135370195381615899214931316241080337028498241295985409686314819267606796712968280842464845294917738460317179001491697993067157425958639996885239616893392960282441289069600101430806922004624472226999315951355963789249300352610312601262349650287009275097201871774652260892220551489305368617001974326978428202443548923140478853569492070442010110016068635424791389124439271253578545895132216218268847919848655110002938693346760862649668457282775860633067627110099340660770861888592018701206483696615682617062811616008107086256694453990688805738127607846586853460003073465075155412119309273843527076321601670400373937698518621100907936577387919537592519265365346619712200304996044229704602647674114176291753575322917531444831938509001759491229575945273985556769609288625450013634760596805884195325794441020339210402987018058377081579351119704065092777310976461961832919116412535470810011337916688085616171422473409544885864650134157327448050685723673514545806331081542320899927
It is a number in this form a/b
Why is this happening??
Do you know how to do this in octave too?

k = (0:1000);
k_sum = sum(1./((2*k)+1).^2);
disp(k_sum)
It's interesting that you jumped straight to using syms when the basic matlab functions work perfectly well for this problem. Why is that?

Related

How to create a a:d:b vector to create and display "sin(0), sin(pi/n), sin((2*pi)/n), . . . , sin(2*pi)]" [closed]

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I have been trying for a while to get this to work but I don't seem to be getting any closer to a solution.
I'm not sure of what the pattern is and what to write for the "d" value in a:d:b
Clearly you want to start from 0 (a) and go to 2*pi (b).
Now the question comes what is your step size (d)?
From your example you can see that you are changing from 0 to pi/n.
And from pi/n to 2*pi/n.
This means your step size is d=pi/n
Once you defined your n, e.g:
n=10;
you can do the rest like this:
x=0:(pi/n):(2*pi)
y=sin(x);

Why I get this Error? (State Space) [closed]

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Could someone explain me what I must change in my model?
Model
The error messages are pretty clear and self-explanatory. The reason you get the error is because B is of dimension 4x2 and you are trying to do B * Xr where Xr is of dimension 1. According to your equation, you need to do B*U where U = [dXr/dt; Xr];. However, using the derivative block is never a good idea in Simulink if you can avoid it, especially with a step input. Think about how you want to formulate the inputs to your state-space.

How can I extrapolate to higher values in Matlab? [closed]

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I have the following data:
T=[0,100,300]
and
a=[2.8796,2.8785,2.886]
and I want to extrapolate and know what a will I get at T=600 in Matlab.
How can I do that?
If its linear the code below solves this
clear all
close all
T=[0,100,300];
a=[2.8796,2.8785,2.886];
reg = polyfit(T,a,1);
figure
hold on
plot(T,a,'bx')
plot(T,reg(2)+T.*reg(1),'k-')
plot(600,reg(2)+600*reg(1),'ro')
plot(600,interp1(T,a,600,'linear','extrap'),'md')
legend('observations','lin. regression','pred. at 600p polyfit','pred. at 600p interp1')
val_polyfit = reg(2)+600*reg(1)
val_interp1 = interp1(T,a,600,'linear','extrap')
diff = val_polyfit/val_interp1
yields
val_polyfit =
2.8924
val_interp1 =
2.8972
diff =
0.9983
For Linear Interpolation:
aextra = interp1(T,a,600,'linear','extrap')

solve trigonometric equation using matlab [closed]

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How do you solve this equation in Matlab?
beta=0:10:90
sin(tetha)+(3*cos(tetha)-1)*cot(beta)=0
Solve for tetha
I used the solve function but didn't get any answer.
Check out fzero.
beta = 0:10:90
for ii = 1:numel(beta)
%% insert fzero function here
end
Columns 1 through 7
-0.9273 0.8777 -0.6248 -0.2930 0.8045 -0.9177 0.9141
Columns 8 through 10
-0.7869 0.2148 0.6605

Is there a way to get a function to perform the same operation on a list of variables in MATLAB? [closed]

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E.g. I'd like to perform a command like blitzer(blitzer(:,4)<0.5,5) on a list of variables (or all the variables in the workspace) in MATLAB.
So I'd like to perform it on comet, dasher, etc...
Use the who function:
s = who;
for i = 1:length(s)
temp = eval(s{i});
answer{i} = temp(temp(:,4)<0.5,5);
end