How to use two different equations for different ranges of values within an array?

Question

Bixius 2018-8-1

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/413112-how-to-use-two-different-equations-for-different-ranges-of-values-within-an-array

回答： Will Fritz 2018-8-1

采纳的回答： Will Fritz

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I have a range of values, x = 0:0.1:5 as my inputs.

I want to use

Eq.1 when 0 < x <= 1,

and

Eq.2 for 1 < x < 5.

and then plot(x,y)

if (x >= 0) && (x <= 1)
        y = x^(0.5)
    elseif (x > 1)
        y = x^(-0.5)
    end

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Will Fritz 2018-8-1

Is your Eq1: y = x^(0.5) and Eq2: y = x^(-0.5)? Also, what are the specific bounds? The code snippet at the end has different bounds than the two initial bounds you stated

Bixius 2018-8-1

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yes, Eq1 is y = x^(0.5) and Eq.2 is y = x^(-0.5). and I apologise

I meant to write

if (x >= 0) && (x <= 1)
        y = x^(0.5)
    elseif (x > 1)
        y = x^(-0.5)
    end

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Answer 1

Will Fritz 2018-8-1

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/413112-how-to-use-two-different-equations-for-different-ranges-of-values-within-an-array#answer_331217

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The following should work for your intended restrictions.

 % initialize x
 x = 0:0.1:5;
 % initialize y with all zeros
 y = zeros(1,numel(x));
 for i = 1:numel(x)
    if (x(i) >= 0) && (x(i) <= 1)
        y(i) = x(i)^0.5;
    else
        y(i) = x(i)^(-0.5);
    end
 end
 plot(x,y)