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Description

English: Triangle sequence

t_{2N+1}\left(n\right)={\begin{cases}1-{\frac {\left|n\right|}{N}},&\left|n\right|\leq N\\0,&\left|n\right|>N\end{cases}},\quad N\in \mathbb {N}

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Italiano: Sequenza triangolo

t_{2N+1}\left(n\right)={\begin{cases}1-{\frac {\left|n\right|}{N}},&\left|n\right|\leq N\\0,&\left|n\right|>N\end{cases}},\quad N\in \mathbb {N}

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Date

30 June 2016

Source

Own work

Author

Luca Ghio

Permission
(Reusing this file)

I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Category:Self-published work#Triangle%20sequence.pdf Category:PD-self#Triangle%20sequence.pdf

gnuplot source

click to expand

N=10;
n=[-N:N];
y=1-abs(n)/N;
figure
set(gca,'FontSize',14)
stem(n,y,'k')
xlabel('n')
title('t_{21}(n)')
axis([-10 10 -0.5 1.5])
grid on

Category:Images with Octave source code Category:Created with GNU Octave Category:Plots of discrete time Category:Piecewise linear functions

Wikimore

File:Triangle sequence.pdf