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ALCHEMIST CLUB
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How the cloud has changed education and training

"The omnipresence of the cloud has streamlined and transformed quite a number of domains, including education. Today, thanks to cloud computing, education and training has become more affordable, flexible and accessible to millions of people and thousands of businesses.

Here’s a look at how cloud-based education has changed things for the better..."

#future = #REALnews #tech #innovation #design #sustainability #science #engineering #singularity #progress
https://thenextweb.com/contributors/2017/06/26/cloud-changed-education-training/

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An Extension of the Multiverses:

Max Tegmark is a physicist who describes in his book "Our Mathematical Universe" and elsewhere his theory that the universe consists of nested "multiverses" (a term coined by British Astronomer Royal Sir Martin Reese), which contain copies of regions like our observable universe. He defines Multiple Universe Hypothesis I, II, III, and IV to be levels of reality based on our physical laws, general physical laws, quantum mechanical rules (which supposes some variant of the many worlds interpretation of quantum mechanics), and abstract math, respectively.

The spatially extended and the many-worlds interpretation universes are logical and fulfill the need to explain the behavior of the universe elegantly. But there is a big gap between MUHIII and MUHIV I find evident from the fact that we have little theory of why math works, even though the universe is made of mathematically elegant structures. So here is my proposal for the intermediate levels, which, if worked out, might explain the whole show from first mathematical principles:

(note that I am giving names and numbers to avoid confusion)

I. The Microcosms

Level 1: Coexistence
Level 2: Information
Level 3: Energy
Level 4: Space
Level 5: Matter
Level 6: Particle Identities-the realm of interactions of direct particle properties

II. Manifesting Multiverses

Level 7: Is
The local example of an Existance. Entire "slices" of entropic systems; the decohered state apparent of the universe.

Level 8:
MUHIII. The quantum mechanical Many Worlds Interpretation
The description of the universe (from what I believe I understand) with the particular set of laws summarizable by a function which gives the chance in each case of a possible state of the universe arising out of each particular previous state of the universe.

Level 9: Temporal Multiverses
Every possible set of those previously mentioned functions, thus the multiverse of all possible laws. Most of these will not be very elegant, for instance the universe with rules like ours except that when I snap my fingers, an orange drops from midair in front of me.
Bearing in mind that physical laws can sort of be seen as a collection of the characteristic times with which one event follows another, this can be subdivided thus:
i. Forever
The superspace of universes (existences) between whom history has sharing.
ii. Eternity
The further superspace the points of which are each a set of the probabilities function, without following an ordered history.

Level 10: Multiverses of Physical Meaning
i. Ergoverse
Local region containing all origins and their effects which have concatinated with the other effects in the region. On the local scale this means energy obeying the rules of space-time. Outside the region there have been no Feynman diagrams connected to the inside of Ergo.
ii. Physicality
But physical effects could still exist by, for instance, avoidance. So we consider regions which are so isolated that they are physically meaningless to compare, for instance in scale.The region outside which no physical principle can apply (suggested name for a system the outside of which cannot produce a statistical deviation on the inside) is the Physicality.

III. The Causal Multiverses
The steps of putting together the arrow of time. 11 isolates, 12 connects, 13 puts the arrowhead of entropy on the connection, and 14 makes entropy compelling.

Level 11: Precedence
The region outside which physical principles within CANnot apply. Regions that are meaningless to compare procedures between. Each isolated universe sets up the universe's own franchise of defining what is a physical procedure.

Level 12: Causality
Everything physically meaningful to learn. Region outside which no synchronicity of PROPOSED physical principles can apply, so that there is no sense to there being physical procedures outside, to those within.

Level 13: Entropy
Everything physically knowable. The region outside which our generic definition of a physical principle cannot apply.

Level 14: World
The region outside of which our kind of examination of properties cannot occur. That is, everything our means of physically knowlege applies to, even if we can't know ourselves.

IV. Multiverses of Mathematical Rules

Level 15: Experience
The region outside which our kind of happening doesn't occur.

Level 16: Reality
Anything to which our world can be subjected; the region outside which our definition of a physical effect is not in occurance. A "reality" is a region outside which PHENOMENA in the reality cannot be defined. There is more difficulty in coming up with an example of something that can't be real, but unreal might be something like a determination there is a phenominon of waterfalls running up hill because of our laws of gravity. There may still be waterfalls running uphill in reality due to other principles like gravity, but they can't be OUR laws of gravity.

Level 17: Metareality
Region outside which our definition of persistance does not make sense.

Level 18: Tableau
Region outside which all activity appears to be random.

Level 19: Frames
Region outside which our kind of physical form is not meaningfully defined. The definitions may be mathematical definitions.

Level 20:
MUH IV, Mathematics
The local "notional space", which contains everything well-defined.

V. Beyond MUH:

Level 21: Demiurge
The local "definitional space", containing everything in every system with our Maths' definitions. Everything that an understanding of our kind of notion can be about, even seemingly nonsensical things.
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This one is for you Jayden.

Dr. R
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Just ask Cleo

My real name is Cleo, I'm female. I have a medical condition that makes it very difficult for me to engage in conversations, or post long answers, sorry for that. I like math and do my best to be useful at this site, although I realize my answers might be not useful for everyone.

There's a website called Math StackExchange where people ask and answer questions. When hard integrals come up, Cleo often does them - with no explanation! She has a lot of fans now.

The integral here is a good example. When you replace ln³(1+x) by ln²(1+x) or just ln(1+x), the answers were already known. The answers involve the third Riemann zeta value:

ζ(3) = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ...

They also involve the fourth polylogarithm function:

Li₄(x) = x + x²/2⁴ + x³/3⁴ + ...

Cleo found that the integral including ln³(1+x) can be done in a similar way - but it's much more complicated. She didn't explain her answer... but someone checked it with a computer and showed it was right to 1000 decimal places. Then someone gave a proof.

The number

ζ(3) = 1.202056903159594285399738161511449990764986292...

is famous because it was proved to be irrational only after a lot of struggle. Apéry found a proof in 1979. Even now, nobody is sure that the similar numbers ζ(5), ζ(7), ζ(9)... are irrational, though most of us believe it. The numbers ζ(2), ζ(4), ζ(6)... are much easier to handle. Euler figured out formulas for them involving powers of pi, and they're all irrational.

But here's a wonderful bit of progress: in 2001, Wadim Zudilin proved that at least one of the numbers ζ(5), ζ(7), ζ(9), and ζ(11) must be irrational. Sometimes we can only snatch tiny crumbs of knowledge from the math gods, but they're still precious.

For Cleo's posts, go here:

https://math.stackexchange.com/users/97378/cleo

For more on ζ(3), go here:

https://en.wikipedia.org/wiki/Apery's_constant

This number shows up in some physics problems, like computing the magnetic field produced by an electron! And that's just the tip of an iceberg: there are deep connections between Feynman diagrams, the numbers ζ(n), and mysterious mathematical entities glimpsed by Grothendieck, called 'motives'. Very roughly, a motive is what's left of a space if all you care about are the results of integrals over surfaces in this space.

The world record for computing digits of ζ(3) is currently held by Dipanjan Nag: in 2015 he computed 400,000,000,000 digits. But here's something cooler: David Broadhurst, who works on Feynman diagrams and numbers like ζ(n), has shown that there's a linear-time algorithm to compute the nth binary digit of ζ(3):

• David Broadhurst, Polylogarithmic ladders, hypergeometric series and the ten millionth digits of ζ(3) and ζ(5), available at https://arxiv.org/abs/math/9803067

He exploits how Riemann zeta values ζ(n) are connected to polylogarithms... it's easy to see that

Liₙ(x) = ζ(n)

but at a deeper level this connection involves motives. For more on polylogarithms, go here:

https://en.wikipedia.org/wiki/Polylogarithm

Thanks to +David Roberts for pointing out Cleo's posts on Math StackExchange!

#bigness
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Augmented reality (AR) is set to be the next step in the evolution of computing, and will arguably be the most intuitive and collaborative computing experience. Both application developers and business decision-makers see AR as a tool for enhancing productivity.

#AR #Business #Productivity #digitalcrm 

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Hello Moussa,

This is Dr. R. I will send you a link to join the community.

Dr. Ronelus

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Essential Cheat Sheets for Machine Learning and Deep Learning Engineers

Learning machine learning and deep learning is difficult for newbies. As well as deep learning libraries are difficult to understand. I am creating a repository on Github(cheatsheets-ai) with cheat sheets which I collected from different sources. Do visit it and contribute cheat sheets if you have any. Thanks.

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