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ToolBook Instructor is a comprehensive desktop authoring software [10] designed for use by a broad spectrum of course developers and instructional designers to create standards-based content. The purpose of this paper is to describe the development...
Abstract: The purpose of this Poster/Demonstration is to demonstrate several technology based components developed to enhance regular mathematics instruction and to provide learning support for core courses in College Algebra, Precalculus and...
The support of a U. S. Department of Education initiative, Preparing Tomorrow's Teachers to use Technology (PT3), has enabled a multidisciplinary faculty teaching strategy reform process using a mini grant proposal/award model. With this support,...
A curriculum based on handheld and mobile technology called PalmTech is under development to prepare preservice teachers as well as inservice teachers to use handheld technology in the classroom. Currently all preservice teachers at Albany State...
The panel presentation herein shares strategies and outcomes of the implementation of the SOWEGA PT3 (Preparing Tomorrow's Teacher to use Technology) Project at Albany State University (ASU). The strategies are: (1) Infusing technology into core...Grab your own Rusk University gear from the official Rusk University store!
Never miss important book news! Join my newsletter.well Russian had to jack its interest rate upto 19% earlier in the year to stop it imploding (how else would they sell their bonds?) 

all these production based countries that are basically just feeding american consumerism peg their currencies to the $ to keep some consistency with export prices, but with this and many commodities (oil, gold etc) being prices in $ allows the USA to export allot of their inflation, infact the USA would have imploded already if all their $ was domestic only.

it is literally only central bank manipulation preventing a true global financial crisis. Most countries already have massive amounts of true inflation. Inflation really should relate to the expansion of the money supply but countries have their CPI figure (which doesnt even include housing, the single most expensive outgoing for almost everyone) which they rely on to justify low or even hilariously negative interest rates.

The federal reserve isnt raising interest rates because they are concerned the CPI (ie cost of living) isnt high enough. Tell that the millions who cant afford food and rely on food banks. 

global growth has slowed right down, all the people will collateral are already over leveraged upto their eyeballs, last time this happened they started lending to idiots (sub-prime mortgages) but now legislation prevents that to some extent. there is such a small amount of growth now central banks are devaluing their currencies boost exports and chase the dwindling growth thats left.USA Hockey today announced the 29 players that have been invited to its pre- tournament camp, beginning December 17th, thus naming its preliminary roster for the 2011 World Junior Championships. USA Hockey will trim the roster down to 22 players prior to its final exhibition game against Norway on December 23rd. Those 22 players named to the final roster will then pack their bags and head to western New York having earned the distinguished honor to represent the United States in their quest to repeat as World Junior Champions. The World Junior Championship this year will be played in Buffalo and Niagara, New York from December 26, 2010 to January 5, 2011.
The 2011 United States preliminary roster has a strong college hockey flavor with 23 of the 29 invitees having ties to the NCAA. For a list of the college players and the school they represent please see below.
The Six remaining players hail from one of the three Canadian Major Junior Leagues or the American Hockey League.
The 2011 United States World Junior Team will begin their title defense against Finland on December 26th at 8pm.I’ve been hunting. Not with a shotgun or bow and arrow. I’ve been hunting with my mouse. Looking for inspiration. But sometimes an inspiration steals the show. Becomes the star instead of supporting actor.
I experienced this a few years ago as I was considering what to make my beloved for Christmas. I wanted to create art to support his new interest in gardening. So, of course, I went Pinteresting and found this wonderful work of art by Freeland Tanner.
I was amazed and inspired. But then I couldn’t get it out of my head. All of my sketches were poor imitations bordering on forgery. I didn’t want to copy. I wanted to do original work, but originality was elusive. What followed was weeks of drawings and no satisfaction whatsoever. I was stuck.
I often turn outward for inspiration. I have Pinterest boards full of other artists’ work, a complete screensaver file of other artists’ work and shelves of books that other artists have written. And at a certain point, all of that information can become clutter. Inspiration becomes infiltration. Then, turning inward to reach originality requires a long journey.
You can see that it has been gathering its own quirky additions that give it a unique personality…one that has arisen from its functionality and continues to unfold.
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Q: Suppose $[a], [b] \in \mathbb{Z}_n$ and $[a]\cdot[b] = [0]$. Is it necessarily true that either $[a] = [0]$ or $[b] = [0]$? Let $n \in \mathbb{N}$. Let $R$ be the equivalence relation $\equiv \pmod{n}$. Suppose $[a], [b] \in \mathbb{Z}_n$ and $[a]\cdot[b] = [0]$. Is it necessarily true that either $[a] = [0]$ or $[b] = [0]$?
Proof:
Premises:
$
1.\, [a]\cdot[b] = [0]\\
2. \forall x\forall y\forall k(x \equiv y \pmod{n} \to x \equiv ky \pmod{n})
$
Assume $[a] \neq [0]$:
$
\begin{align*}
  &\langle\text{Assumption} \rangle\\
  &c \in [b]\\
  \iff&\langle\text{Def. of $[b]$} \rangle\\
  & cRb\\
  \iff&\langle\text{Def. of $R$} \rangle\\
  & c \equiv b \pmod{n}\\
  \iff&\langle\text{By Premise 2} \rangle\\
  & c \equiv ab \pmod{n}\\
  \iff&\langle\text{Def. of $R$} \rangle\\
  & cRab\\
  \iff&\langle\text{Def. of $[ab]$} \rangle\\
  & c \in [ab]\\
  \iff&\langle\text{$[a][b]=[0]$} \rangle\\
  &c \in [0]\\
\end{align*}
$
$[b] \subseteq [0]$


*

*Is my proof heading in the right direction?

*Is the addition of Premise 2 correct? How can I prove it to use it in my proof?


A: As pointed out in the comments, the statement is false as well as the "Premise 2".
But you can try to show this: if $p$ is prime, then $[a]_p[b]_p=[0]_p$ implies $[a]_p=[0]_p$ or $[b]_p=[0]_p$. There is more or less nothing to prove apart from correctly using the definition of congruence. 
In particular in $\mathbb{Z}/p\mathbb{Z}$ there are no zero-divisors. On the contrary, you can also show that if $n$ is composite then there exist zero-divisors in $\mathbb{Z}/n\mathbb{Z}$.
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The three-part ABC television series Making Australia Happy was screened in November 2010. The series took the science of positive psychology to the streets in Marrickville, a suburb in inner-city Sydney, and followed eight individuals as they completed an intensive eight week positive psychology program using scientifically-validated positive psychology interventions. I was fortunate enough to be asked to be the coaching psychologist of the show and in this article I reflect on my experiences, and present results from a follow-up study indicating that the positive effects of participation