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January 2nd, 2019, 01:01 PM   #21
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 Originally Posted by Integrator Hello, Why can not be defined for $\displaystyle n>2$? However, some claim that according to Newton's binomial $\displaystyle \overrightarrow{z}^n=\overrightarrow{x}^n+C_n^1 \cdot \overrightarrow{x}^{n-1}\cdot \overrightarrow{y}+\cdots +C_n^{n-1}\cdot \overrightarrow{x}\cdot \overrightarrow{y}^{n-1}+\overrightarrow{y}^n$. All the best, Integrator
Meanwhile you haven't defined the higher powers of $\overrightarrow{x}$ or $\overrightarrow{y}$ January 6th, 2019, 09:27 PM   #22
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Quote:
 Originally Posted by mathman Meanwhile you haven't defined the higher powers of $\overrightarrow{x}$ or $\overrightarrow{y}$
Hello,

For example , it is correct that some say that
$\displaystyle \overrightarrow{x}^n=x^{2m}$ for $\displaystyle n=2m$ and $\displaystyle \overrightarrow{x}^n=x^{2m}\cdot \overrightarrow{x}$ for $\displaystyle n=2m+1$ , where $\displaystyle m\in \mathbb N$?Thank you very much!

All the best,

Integrator

Last edited by Integrator; January 6th, 2019 at 09:30 PM. January 6th, 2019, 11:59 PM   #23
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Quote:
 Originally Posted by Integrator Hello, For example , it is correct that some say that $\displaystyle \overrightarrow{x}^n=x^{2m}$ for $\displaystyle n=2m$ and $\displaystyle \overrightarrow{x}^n=x^{2m}\cdot \overrightarrow{x}$ for $\displaystyle n=2m+1$ , where $\displaystyle m\in \mathbb N$?Thank you very much! All the best, Integrator
Don't you read the posts? It is not correct and we have explained multiple times why. January 11th, 2019, 06:52 AM #24 Banned Camp   Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 126 Let $\displaystyle \vec{z}=(x_{1},x_{2},...,x_{m})$ Definition: $\displaystyle \vec{z}^{n}=(x_{1}^{n}+x_{2}^{n}+,...,+x_{m}^{n})$ Tags calculation, vectorial Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post EBTERTTBT Physics 5 August 14th, 2018 05:29 AM markovski Math 0 May 22nd, 2017 09:17 AM juanpe966 Calculus 4 February 27th, 2016 02:24 PM joskevermeulen Calculus 1 December 29th, 2015 05:02 AM FunWarrior Linear Algebra 0 February 11th, 2014 01:22 AM

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