How to use matlab to implement the piecewise function "recommended collection"

Hello everyone, meet again, I'm your friend Quanstack Jun.

implement the following piecewise function: m = { t 0 ≤ t < 1 − t + 2 1 < t ≤ 2 0.1 else m=\left\{ \begin{array}{rcl} t & & {0 \leq t <1}\\ -t+2 & & {1 < t \leq 2}\\ 0.1 & & {other}\\ \end{array} \right.m=⎩⎨⎧​t−t+20.1​​0≤t<11

Method 1:

# Write a function script first; function m=fenduanhanshu(t)m=t.*(t>=0 & t<1)+(-t+2).*(t>1 & t<=2)+0.1.*(t<0 | t>2) # Note thisDot multiplication, otherwise an error will be reported that the dimensions of the internal matrix are inconsistent; end 

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Explanation of the statement here: When (t>=0 & t<1) in the expression is established, the value of the Boolean expression at this time is True, and the value is 1, t*(t>=0 & t<1) = t1; the Boolean expressions (t>1 & t<=2) and (t<0 | t>2) in the expression do not hold at this time,Take 0 to participate in the operation, so at this time m=t1+(-t+2)0+0.10 = t;

# Call this function in the command window and draw a picture; >> x=0:0.01:2; >> m=fenduanhanshu(t); >> plot(m,t) 

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The drawing is as follows:

Method 2:

# Write a script and run it directly; t=-1:0.01:3; ​​# Set according to your needs; m=zeros(size(t)); # Generate an all-zero matrix of the same size as matrix t; for i=1:length(t) # The length of the array (that is, in the number of rows or columns)larger value of ); if (t(i)>=0)&(t(i)<=1) m(i)=t(i); elseif (t(i)>1)&(t(i)<=2) m(i)=-t(i)+2; else m(i)=0.1; end end plot(t,m,'r') # 'r' means the line is red; grid on #Grid

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>> t=-1:0.01:3; >> size(t) # When there is only one output parameter, return a row vector, the first element of the row vector is the number of rows of the matrix, and the second element is the number of columns of the matrix; ans = 1 401 

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B=zeros(n) # Generate n×n all-zero matrix; B=zeros(m,n) # Generate m×n all-zero matrix; B=zeros([m n]) # Generate m×n all-zero matrix; B=zeros(d1,d2,d3…) #Generate d1×d2×d3×...all zeros matrix or array; B=zeros([d1 d2 d3...]) # Generate d1×d2×d3×...all zeros matrix or array; B=zeros(size(A))# Generate an all-zero matrix of the same size as matrix A; 

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n=length(A) # If A is a non-empty array,Returns the larger value between the number of rows and the number of columns, which is equivalent to executing max(size(A)); # If A is an empty array, return 0; # If A is a vector, returnThe length of A; n=numel(A) # This statement returns the total number of elements in array A; 

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