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To some of us, it is relatively clear that we could support a better, more effective "network" evolution in support of GSM / GPRS, WCDMA / HSPA. LTE / Advanced LTE if we transformed our architecture.  That is just what we are going to do.  Mobile cloud utopia.

In pursuit of this objective, what should be our goals?  What are our customers requirements?  Which, what and how should our "novel" protocols and algorithms should be designed and supported?

 
 
Sometime things have to change, as I am sure that a lot of people would agree.  For our #starofall we found it necessary to consider a new definition of what what the word "Supergraph" was and what it represented.  It was necessary that we extend the basis of the original understanding to provide a platform for a better understanding?

Now it wasn't that the previous understanding of what a supergraph was was particularly poor, its just that it was generic and we were taking a different approach.  With the algorithmic approach that we took to adopting graph theory to fit in with our network model, it meant that we had a new and better starting point.  A new definition made sense.
 
 
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We have a few additions and editorial adjustments to make, before we publish our latest eBook, which will hopefully be Friday the 25th of May 2012.  We appreciate the previous interest that has been shown in our sister '#starofall jottings' eBook.  Its interesting just how much an eBook can change, in just a few days.
 
We recently changed our latest eBooks title, which  is now:

"#starofall - "Celtic Amphitheatre”, A Celestial Observatory", a new title that captures how megalithic and neolithic stone circles and amphitheatres have influenced modern Internetworking.

An Artistic, Astronomical, Architectural, Mathematical, Electronic and Philosophical eBook.

 By John Kelliher – Author, Engineer, Architect, Scientist and Philosopher

Edition  1.0.0  – May, 2012  
 
“Wisdom begins in wonder” – Socrates.

 
 
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Now, is it possible that it was at a "Celtic Amphitheatre" (A Celestial Observarory), that Socrates first heard the words, "Wisdom begins with wonder" and where Leonardo da Vinci first uttered the words, "Learning never exhausts the mind"? 

Our initial jottings eBook on the #starofall (Art, Architecture, Mathematics, Electronics and Philosophy) Edition 1-0-0 eBook is available on Amazon at $1.00 + VAT (at 3%). 

For two days the eBook was FREE to all Amazon Kindle users (begun: 08:00 EST 22/05/12, ending: 08:00 EST 24/05/12). 

You can purchase it and read it today using the Kindle eReader.

We sold over 50 original eBooks and have produced a 1-0-1 Edition of the eBook, "Jottings on the #starofall - "Celtic Amphitheatre" which also retails at $1.00 +VAT (at 3%).

We have drafted a further eBook "#starofall - "Celtic Amphitheatre", A Celestial Observatory".  Our draft has grown in size to 12 pages and 4,169 words!  We are very pleased with its development and will launch it on Amazon soon.

 
 
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A new eBook is planned: "The geometrical nature of the mathematical construct within and betwixt and outwith Celtic Stone Circles" by John Kelliher.

Image - Maidens Stone Circle - Cornwall, England.

 
 
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KS3 (Key Stage 3) "Algebra" Maths eBook is an excellent introduction to algebra for the 11-14 years of age student.  Vividly embracing the subject matter from introduction, through inverse operations, equations, the order of operations, towards solving simple equations, reviewing algebraic conventions, BODMAS, manipulating algebraic expressions, reviewing algebra in number patterns and sequences towards more expressions and formulae, expanding expressions involving brackets, factorising, rearranging a formula and solving equations of the forms y = mx + c, y = ax2 + bx + c, solving simultaneous equations and understanding equalities when the student reviews, learns and then understands the contents of this maths eBook he will ace any exam that he has to take.

 
 
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In the "Celtic Amphitheatre" our Artistic, Astronomical, Architectural, Mathematical, Graphical and Electronic Superstuctures are manifest.

The arrangement, organisation and orchestration of our Celtic Stone Circles are but piece parts and "stones", "vertices" and "nodes" within a megalithic arrangement that has profound impact on the #starofall and the quantum electronics of the present and the future.

 
 
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Dr Kelliher (John to you and me) was for many years a student of Prof. Joe McGeehan OBE, Fellow of the Royal Academy of Engineering, Prof. Hamid Aghvami, Fellow of the Royal Academy of Engineering and Prof. Keith Lumsden, Fellow of the Royal Society of Economics as well as an avid reader of Irish and English literature.  He has learnt well.

At Dr Kellihers maths eBooks we craft maths eBooks in the 'modern avant-garde' style. And while our prose and presentation is improving, our mathematics are presented with a vivid hue and a deep appeal to developing the students understanding, deeper meaning and wisdom. Learning maths is meant to be an enjoyable passtime, as enjoyable for Mowgli as a walk through the jungle.  As such we do not set arithmetic calculation computation questions, but we immerse the student in the beauty of the abstraction of the subject as we present and articulate through style the learning of mathematical subject modules in a component by component structure.  In this way, the student learns to love the subject, and discipline in arithmetic calculation accuracy naturally emerges, all at the pace and natural speed of the student and their developing love of the subject.

So, whether your child is autistic, aspergers, dyspraxic, has ADSD or is dyslexic, as long as they can read, learn
to concentrate and learn and come to appreciate the subject, as they study (perhaps with the help of a tutor) your child too can excel in the understanding of the subject of maths.  All children can.  Children with autism, dyspraxia, ADSD and dysclexia learn differently, but as parents we all know how we learnt to learn as children, and even, perhaps continue to do, until this day.  

Education is too complex to be explained completely by a purely technical discipline.  One needs a love of the sublime and the ridiculous, an appreciation of art, design, architecture, literatiure and of course great philosophy. Teachers help considerably, but wisdom is key.

RECOMMENDATION

And wow, wow, wow, we recently received our first positive recommendation - 1 of 1 people found the following review helpful.

 5.0 out of 5  stars SECONDERY  SCHOOL kS3 MATHS (GRAPHS), 8 May 2012 By Mehnaam

This  review is from:  Secondary School 'KS3 (Key Stage 3) Maths - Graphs - Ages  11-14':  eBook (Kindle Edition) fantastic help in work!!  I am 11  years old and got this book so that i can do some early revision for secondary!!  from 14th-18th may i have S.A.T.S EXAMS so to be on the safe side my mum let me get this book five out of five.

Good old mum I say!

And this is how Dr John Kelliher (Sean O'Ceilleacair) replied:

@Mehnaam, I hope that you will agree that KS3 (Key Stage 3) -  Graphs is a beautifully written, illustrated and explained book which has  hopefully made your learning experience even more worthwhile. The book is really targeted at the older KS3 student, someone aged 12-13, so you are obviously a  highly motivated student
already. I must thank you for your recommendation, as  you have truly appreciated what I wanted to achieve when I wrote it. Best of  luck in your SATS exams, and remember to have a few days break from studying  maths before you sit them.

Just remember, autistic people have special abilities:  'Has anyone seen my magic hawk' - John Kelliher and that "In the particular is contained the Universe'' - James Joyce.

 
 
At Dr Kellihers maths eBooks we craft maths eBooks in the 'modern avant-garde' style. And while our prose and presentation is improving, our mathematics are presented with a vivid hue and a deep appeal to developing the students understanding, deeper meaning and wisdom.  Learning maths is meant to be an enjoyable passtime, as enjoyable for Mowgli as a walk through the jungle. As such we do not set arithmetic calculation computation questions, but we immerse the student in the beauty of the abstraction of the subject as we present and
articulate through style the learning of mathematical subject modules in a component by component structure. In this way, the student learns to love the subject, and discipline in arithmetic calculation accuracy naturally emerges, all at the pace and natural speed of the student and their developing love of the subject.

At Dr Kellihers Maths eBooks we have embarked on a mission to design, author, produce, maintain, market, promote and sell a range of approximately in excess of 125 maths eBooks in the primary - elementary -
secondary - middle - high school markets of the English speaking world. Across the Globe there are some 375 million people speaking English as a first language, and many more people using English as a second language.  Indeed, the Global language of business is English.  At Dr Kellihers maths eBooks we are
addressing this enormous market.

Our eBooks are as equally relevant and appropriate to regular students as students with special
educational needs (SEN), and we offer special support to students with unique capabilities and different forms of expressionism and learning as exhibited by students with autism, aspergers, dyslexia, dyspraxia and ADHD.  In fact our maths eBooks are all written by autistic people.

Dr Kelliher (John to you and me) was for many years a student of Prof. Joe McGeehan OBE, Fellow of the Royal Academy of Engineering, Prof. Hamid Aghvami, Fellow of the Royal Academy of Engineering and Prof. Keith Lumsden, Fellow of the Royal Society of Economics as well as an avid reader of Irish and English literature.  He has learnt well.

At Dr Kellihers maths eBooks we are building, establishing and promoting a global presence and distribution network for eBooks focussed specifically and initially on maths.  In our first 6 months of operation, our authoring of and publishing of maths eBooks has focussed on the UK (and North American) Primary (and Elementary) Key Stage 1 (Grades 1 & 2), Key Stage 2 (Grades 3, 4 & 5) and Secondary Key Stage 3 (Grades 6, 7 & 8) curriculums.  We will extend them when complete to include the maths appropriate modules of the secondary / middle / high school curriculum up to age 18 in due course.

As of the 17th of May 2012, our maths eBooks are only available on Amazon Kindle.  However, later this month we will extend the availability and choice of platform for the general public to read them, by publishing all of the titles available on Amazon KIndle in the Apple iBookstore, as well as the Barnes and Noble eBookstore.

The universe will never be the same again.  Today its 'All About Angles'.

Just remember, autistic people have special abilities:  'Has anyone seen my magic hawk' - John Kelliher .. and that "In the particular is contained the Universe'' - James
Joyce.

RECOMMENDATION

And wow, wow, wow, we recently received our first positive recommendation - 1 of 1 people found the following review helpful.

5.0 out of 5  stars SECONDERY  SCHOOL kS3 MATHS (GRAPHS), 8 May 2012 By Mehnaam

This  review is from:  Secondary School 'KS3 (Key Stage 3) Maths - Graphs - Ages  11-14':

eBook (Kindle Edition)
fantastic help in work!!  I am 11  years old and got this book so that i can do some early revision for  secondary!!  from 14th-18th may i have S.A.T.S EXAMS so to be on the safe side my mum let me get this book five out of five.

Good old mum I say!

And this is how Dr John Kelliher (Sean O'Ceilleacair) replied:

@Mehnaam, I hope that you will agree that KS3 (Key Stage 3) -  Graphs is a beautifully written illustrated and explained book which has  hopefully made your learning experience even more worthwhile. The book is really targeted at the older KS3 student, someone aged 12-13, so you are obviously a  highly motivated student already. I must thank you for your recommendation, as  you have truly appreciated what I wanted to achieve when I wrote it. Best of  luck in your SATS exams, and remember to have a few days break from studying  maths before you sit  them.
 
 
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A  transformation is a mathematical term that operates on an object that changes the position, orientation or size of the object.  In the case of these maths eBook we consider the object to be a shape and to be the shape of a triangle.

 There are 4 types of transformation:
 •  Translations
  •  Reflections
  •  Rotations
  •  Enlargements

Also, any combination of translation, reflection, rotation or enlargement can constitute a transformation.

This maths eBook is an excellent introduction into the subject of transformations.  It provides a unique exposition into the four elemental transformations, explained using simple 2D (2-dimensional) objects (shape = triangle) and presents maths in