Latex rendering update

Using equation on this blog asks that you put $ sign at the beginning and $sign at the end to substitute in bracket [ ]-tex and / tex

Here is the site language that will help blog developers with their latex language and give them an alternative from having to shift over to word press.

Test

$\odot$ $\oplus$ $\pi$ $\omega$

$\LARGE U=\frac{-GMm}r=\frac{-GMh}{rc^2}{vo}$


$\large hv=hv_o[{1-}\frac{GM}{rc^2}] \hspace9 v=v_o[{1-}\frac{GM}{rc^2}] \hspace9 \frac{\bigtriangledown v} {v_o}={-}\frac{GM}{rc^2}$

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Click on Image for a larger size


Click on Image for a larger size


Click on Image for a larger size

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See:Help:Latex Symbols-Mathematics

Artifacts of the Geometrical WunderKammern

As one visits the mathematical puzzles and conjectures, what value these insights to the physics or our universe if we did not see things in this way? As artifacts of some other kind of geometrical thinking that we could then apply it to how we see the micro-perspective and macro-perspective working within the Quantum or cosmological realms?

So abstract and foreign to our eyes that we let it escape our attention while we talk about all our theoretical points of view and divergences from what is symmetrical?

In the past, new scientific discoveries, strange finds, and striking pieces of original artwork were greeted with awe and wonder. It became popular during the Renaissance to build a "cabinet of curiosities" to display a private collection of art and natural objects of which the owner was extremely proud. These groups of objects were at first housed in an actual cabinet or ornate piece of furniture, known as Wunderkammern or Wunderkabinetts. They are simultaneously pieces of furniture and the collections of items within them.

In the exhibits of these early Wunderkammern, owners might display strange, beautiful, mysterious, and precious marvels like starfish, monkey teeth, alligator skins, phosphorescent minerals, Indian canoes, Egyptian figurines, and “unicorn tails.” Rich art patrons would display their new art acquisitions in the intimate backdrop of a prized spot in an ornate carved cabinet. At Kensington castle, Sir Walter Cope is said to have displayed, “holy relics from a Spanish ship; earthen pitchers and porcelain from China; a Madonna made of feathers; a back-scratcher; a Javanese costume, Arabian coats; the horn and tail of a rhinoceros; the baubles and bells of Henry VIII's fool; and a Turkish emperor's golden seal.” The collections demonstrated manmade wonders and the diversity of God’s creations as well as a fascination with new scientific approaches to the study of natural phenomena. Each collection’s commitment to miscellany dependended on the idiosyncratic interests of the collector.

So it was again important to bring people back to the ways of geometry working in spaces, that although seemingly detached from our reality is the underlying basis of the physics involved.

Mine is a layman's perspective so I cannot say for certain that all I write here will be of value. It is up to you whether you think it important or not.

Figure 2. Clebsch's Diagonal Surface: Wonderful.

Sylvester's models lay hidden away for a long time, but recently the Mathematical Institute received a donation to rescue some of them. Four of these were carefully restored by Catherine Kimber of the Ashmolean Museum and now sit in an illuminated glass cabinet in the Institute Common Room.

The Museum when thought in context of "Platonic solids" was some what of a contention when I showed it's location in early historical context as a artifact.

Shown here are the models in the mathematical wunderkammer located in the Department of Mathematics at the University of Arizona. Like those in most modern mathematics departments, the collection is a combination of locally-made student and faculty projects together with a variety of commercially produced models. Sadly, a century since their Golden Age, many of the models are in disrepair and much of their documentation has been lost. However, some recent detective work, with the help of the Smithsonian Institution in Washington, has helped the department identify models by the American educators W. W. Ross and R. P. Baker in the collection.

Also see here for further thoughts on this

I thought it important to quickly post this so that people understand that "a glass case" can hold many things for inspection, but in this case ,I was referring to the geometrical forms. If any of these form were to show symmetry in action which of these would do so? Sylvestor surfaces?

An attempt in Latex to map these functions from a layman's perspective. What use if I cannot understand the mathematical language as it is written, yet, I can see "acrobatically" the way geometry works in space?

Latex Rendering

Andrew Roberts:Here are some tutorials I have written for getting up to speed with this excellent document processing system. If you are not sure why Latex is any good, find out the benefits. I wouldn't consider myself an expert, but I'm learning all the time. I recall finding it quite taxing when I start to learn Latex, which is why I have started these tutorials. However, I hope that my experiences plays to your advantage, since I hope I can let you into the sort of questions and problems I had when I first learning Latex.

While preparing myself for the intricacies of PDF or science documents, which is a requirement of science people, I went back of course to what Robert and Clifford had found in the science community.

I am of course least in terms of the science education as I go through these bloggeries, yet the message has not fallen on a deaf ear in my case. So working toward helping others in science, is no less important then being given the skill to express myself/yourself properly.

So this is a beginning for me then, of what I had said I would do for the coming year.

Latex Symbol      Latex language
{times}             \times
{div}               \div
{diamond}           \diamond
{pm}                \mp
{ominus}            \ominus   \Big oplus
{otimes}            \otimes
{oslash}            \oslash
{odot}              \odot
{bigcirc}           \bigcirc
{circ}              \circ
{bullet}            \bullet
{asymp}             \asymp
{}....and so on.... \                  

[tex]{times}[/tex]= Latex symbology examples

In the "above link" to John Forkosh Associates, I used the pre "enclosed html brackets and /pre to finish article link even though it had been redone, as a demonstration to illustrate the symbolizations in latex rendering.

Click on Image for a larger size


Click on Image for a larger size


Click on Image for a larger size

Above, Clifford has laid it out for demonstration within his Sandbox to help others within his bloggery. Hope people use it. I am a little shy when it comes to demonstrating my ignorance, so having my "own sand box" would be nice without polluting someone else.

Imaging in Latex

Clifford:This is a space, easily accessible from the front page, where you can practice your LaTeX/MimeTeX commands for writing equations for adding to discussions, etc. You can see several people’s experiments at the earlier post here.

1st generation plotted according to weak hypercharge and weak isospin. Suggestive that the antiparticles are defined rather arbitrarily, and that the structure of idempotents of Clifford algebras (hypercubes) be used to model internal symmetries.

So having the understanding of what is necessary in the language development of latex, I am still far beneath those who I have linked in terms of that development. But, what ever the case, anything that can help, should not be so far beneath us that we ignore what had been found wanting in those who live the life as a scientist.

Symmetries Can be Chaotically Complex

Imagine in an "action of a kind" you start off from one place. A photon travelling through a slit of Thomas Young's, to get through "a world" to the other side. Sounds like some fairy tale doesn't it? Yet, "the backdrop" is where you started?


Thomas Young (June 14, 1773 – †May 10,1829)

was an English scientist, researcher, physician and polymath. He is sometimes considered to be "the last person to know everything": that is, he was familiar with virtually all the contemporary Western academic knowledge at that point in history. Clearly this can never be verified, and other claimants to this title are Gottfried Leibniz, Leonardo da Vinci, Samuel Taylor Coleridge, Johann Wolfgang Goethe and Francis Bacon, among others. Young also wrote about various subjects to contemporary editions of the Encyclopedia Britannica. His learning was so prodigious in scope and breadth that he was popularly known as "Phenomenon Young."

Simplistically this "massless entity" is affected by the "geometrics of gravity?" Is affected from it's "first light." All the way to some "other point in reality" to some image, called the spectrum.

I am dreaming. I am walking down the street and there is this "N category cafe."

Imagine walking off the street into this very public venue and seeing the philosophy shared is also held to certain constraints. :)Philosophy? Yes, we all have our "points of view."

Travelling the Good Life with Ease

So in this travel how is one to see this "curve of light" or "slide" and we get this sense of what gravity can do.

Imagine indeed, "a hole cosmological related" in the three body problem, it has to travel through, and we get this sense of "lensing and distortion," abstractually gravitationally induced?



So as we look at the cosmos what illusion is perpetrated on our minds as we look into the "great distance of measure" that somehow looking to the journey of "an event local," from our place on and about earth, has not been "chaotically entrained in some way, as we look deep into space?


The Magic Square

Plato:Like Pascal, one finds Albrecht has a unique trick, used by mathematicians to hide information and help, to exemplify greater contextual meaning. Now you have to remember I am a junior here in pre-established halls of learning, so later life does not allow me to venture into, and only allows intuitive trials poining to this solid understanding. I hope I am doing justice to learning.

Moving in abstract spaces

It was necessary to explain why I added "the image" to the right in my index.

Some would think me so "esoteric" that I had somehow lost touch with the realities of science? That to follow any further discussion here "has to be announced" to save one's dignity? What ever?:)I am esoteric in that my views of the world come from a different place, not unlike your expression of where you had come from living your life. How would I come to know all that you are in a "single sentence." A single and very short equation? It's really not that easy is it?:)

So I read you from all the things that you say and get the sense of who you are no different then what is implied in the language of poetic art implied carefully from choosing your words?

Artistically Inclined?

I tried to give some hint of the "ideas floating" around in my head. I understand quite well that my challenge has been to get those "images in my head" transmitted onto paper, in a way that one would not become confused as to what is being implied.

So a good writer I may not be, a "not so good scientist" whose mathematics very ill equipped.

Thus I am faced with these challenges in the new year? A "recognition" of trying to produce that clarity. Whether in "latex" the symbols of mathematics, it is quite a challenge for me, whilst all these things are still engaged in abstract views of reality.

So someone like Clifford, may look at Robert by what he has written and say, "hey, my fellow scientists are indeed in trouble" from what Robert has learnt. So I Clifford will provide "the latex sandbox" for you to play in?

It "appears" I am not alone. My struggle, are to be many a struggle.

Art and the Abstract

But to my amazement this morning in checking up the links associated of Clifford's, I was amazed to see the article of, Hooking Up Manifolds

Now how interesting that what is being displayed there in terms of fun, mathematics, art, could have been so abstractly appealing? "Moving over these surfaces" in ways that one might never appreciated, had you not known about how one can look at the universe in the "two ways mentioned previously," and by simple experiment, transcend such things to art.