Given My Druthers

"Okay, we get it. You win."

AlienLovesPredator #143

I'd ruther not go out for coffee.

It was the Spring, or maybe Summer, of '84 when some Random Guy steals up behind me one afternoon as I was walking around in my neighborhood in the vicinity of ASU, and as he pulls up along side me asks if I was going to see the recently completed replica of 'The Dome of the Rock' Mosque. Like any woman dealing with a Random Guy, I try to Ignore him. But he persists and says he is on his way to see it, he is visiting from out of town, having recently arrived from somewhere in Europe doing something for someone using some new computer/software/ I Didn't care what--I didn't know him and had no reason to.





I had heard about the new building and while I was curious to swing by and have a look, it was not on my agenda to go see it that day. He grabs me by the elbow in a non-threatening, but forward manner, and keeps walking and talking about how he just has to see it on this particular day and I am just the person to take him inside since he doesn't want to do anything wrong or offend anybody having never been inside a Mosque before.




I tell him frankly, I am not qualified to be any kind of tourguide to first time visitors to a Mosque--why he accosted me of all people walking around for that particular task is incomprehensible to me since I was pretty sure I had left my 'Pick Me for Your Mosque Tourguide Because I am Muslim' plackard at home.




But in no time, we find ourselves at the entrance to the Mosque and the Random Guy turns to me and says, "Well, since we're already here, let's go in."




Which starts me thinking, 'I'm on the rag; I don't know if people are at prayer and if we can just barge in if the doors are closed; I don't have a scarf, I don't know Random Guy's name.'




My hesitation doesn't seem to faze him and he says, "I think we should take off our shoes before we go in." And before I even have a chance to look down, he's already out of his shoes.




"I think you can just go in. You don't need an escort," I say as a last ditch effort to ditch the Random Guy, but he insists that he wouldn't know what to do once he's inside. I guess the idea of just taking a look around at a new building is not in his lexicon. So, not wanting to deter anyone from going inside a Mosque, I reluctantly take off my shoes, the while thinking, 'This blows if they don't have something I can use to cover my hair once inside.'




It was completely empty of people when we stepped in, and it was remarkably lovely and new; true 'architecture of the veil' since we couldn't have anticipated how beautiful it was inside based on the deceptively understated exterior. We climbed up the winding stairs to see what the second floor was like and spent a few minutes just looking around and enjoying the coolness, due in no small part to the intricately carved jaalis in the outer walls acting like a natural and welcome ventilation system to hedge against the Arizona heat; the arabesques, the round dome, the Persian rugs layered on the floor, and the natural light. We didn't say one word to each other, so busy were we taking in the novelty of the space.




Then I was jarred back to reality when I heard a low and gruff voice from somewhere, 'Sister, what are you doing here?'




A short, young man came up to us from a back office somewhere, his stern look and pursed lips made it all too clear he was not pleased to see us there.




"I thought I'd come in to see the Mosque."




"Why is your hair not covered and who is this stranger you're with?"




I think the look on my face pretty much said it, but I never actually came out with it, "Duh--some Random Guy, didn't look too strange to me and wanted to see the Mosque, and I was not intending to pray!"




At which point, I felt Random Guy's hand reach for my elbow again and say in a hushed voice, "I think we've seen enough. I think we should go."




The unwelcoming host was joined by his side-kick, just as short and surley, as two white birds flew in to perch in the jaalis, and he said, "Who are you two, and where are your shoes?"




Random Guy, who by now figured out that I can be the Sister and He not the Brother for no other reason than that I am the Brunette and He is the Blonde, was bristling at this point; but he kept his pleasant demeanor as he addressed them both, "It's really very beautiful in here, thank you for your hospitality. Sorry, if I caused any trouble. We're going now."




And with one quick tug at my elbow we flew down the stairs and made sure we closed the door on our way out.




I was never so humiliated in all my life (having not lived that long, yet); to actually get thrown out of a Mosque! That's right, for doing nothing wrong but for being in the company of some Random Blonde Guy who wanted to see it.




I quickly slid into my shoes, and was trying to just as quickly part company. The Arizona heat, the mad dash down the stairs, the mortification all rushed to my face and gave new meaning to the word 'redskin'.





!You WILL put back everyword I just typed and You wiped out or I WILL NOT keep my hands off the Equipment! {for those just joining us, I had completed this tale of hijinx in the Arizona desert, when some random glitch wiped it out as I went to post it, never mind that it was saved a couple times while drafting...}{the following day, realizing, it didn't all magically get restored since I thought maybe it was rbacked}PUT-It-BACK! Erasing my words does not erase the Memory, Tom~!





{still not back?}I will now count to 3--1...2 (Michael--Brother--that thar fine piece of equipment (read Lazer) you've been developing for over a decade should be all pumped up and ready to go, what say You tune it up right about now? (nice block getting my kid to hi-jack my computer yesterday just as I was about to count 2, but it's not like there is a shortage of computers in these here United States)...





It's a good thing I count slow-- gives me time to work out what the problem is; in this case it is that anything/anyone coming across this site thinks any of this is about them--well, there is more to this World then Them. Okay?
See, some people don't give a ratsass about others because they are bitter that they have to consume the least inspired cuisine on Earth with the most restrictions, not because anyone is punishing them but because Jacob was a finicky eater and apparently had some food allergies, to boot, so they don't much care about others who consume tastier food since what can be the worst thing God can do to them besides make them eat Gfilte fish?
Then there is them who feel they sin so beyond redemption that God will wipe out everything and everyone on Earth since others can't be doing any better than they are, especially if they finally see the light and repent and are SAVED because then they will get air-lifted off the face of the Earth before God comes down really hard on them thar sinners. Not stopping to consider God has no reason to ever reproach most Buddists living on the Earth because they seem to do pretty well with just applying the Golden Rule, and they are good for the Earth; on average don't run amok against each other, and seem to do really well in school; so, why should they be wiped out if they don't have the same guilt complex as them 'we-gonna-be-air-lifted-out-of-here-everytime-we-miscall-the-end-of-the-world' ?Then there is the regular garden variety them 'holier-than-thou-'cause-i-can't-read-a-word-of-scripture-but-i-follow-the-fella-with-the-rattiest-beard'; who for the most part just wing it, or shout it, shoot it, or blow it up to make a point about something nobody else much cares about because they're all having trouble making ends meet or taking their accounts off-shore.
So, My Dear Michael, on 3 you will pick your target(s) knowing how I feel about above ground power lines and faulty infrastructure. I would just aim for the nodes and not over think this thing; don't worry if you hit me, because it ain't like I ain't been burned before. It's set up so that even a mis-fire will hit an intended target, and activate. That's a Kammand. 3!

Tesla Girls, Tesla Coils, She's My Tesla Goy-Um!

But Siriusly, an idea that is ahead of its Time is about as popular as the one that goes against the accepted Tide, relegating its proponent to Loopy (Round-the-Bend) status--without further introduction, I give You, Tesla!

"I hold that space cannot be curved, for the simple reason that it can have no
properties. It might as well be said that God has properties. He has not, but
only attributes and these are of our own making. Of properties we can only speak
when dealing with matter filling the space. To say that in the presence of large
bodies space becomes curved is equivalent to stating that something can act upon
nothing. I, for one, refuse to subscribe to such a view."
--Nikola Tesla
(1856-1943)

Tesla's adamant refusal to adopt the little understood yet highly regarded (then as now) views of the vanguard of his day, put him instead in league with the 'luna-tics', aka Renaissance Thinkers and Prophets, or just your run-of-the-neighborhood crazy mother.

While there is no denying that both the Theory of General & Special Relativity do a serviceable job in explaining and even predicting certain phenomena, the very fact that the one necessitates the other hints that they each are incomplete which begs for careful vetting.

And while my undistinguished career is a dim bulb compared to either Tesla's or Einstein's resplendent contributions to Science, it hasn't escaped me that Tesla may have had a real concern with Einstien's Relativity and may not have been simply casting aspersions. It may very well be the case that space itself is not 'curved' due to the presence of matter (heavy objects) since what we are observing/experiencing is a 'projection' of the True Nature of the Matter under discussion.

By 'projection' I am not refering to our simplistic view of holograms, which may serve as a good analogy, but something much deeper than that. Some 'other' physical entity that due to its extra-dimensionality (hyper-space, or whatever the common catch-phrase-of-the-day is), we cannot gauge directly but should be able to deduce its presence much the same way similes, metaphors, and music can convey something as indeterminate as what someone else is feeling without our having to sense it ourselves.

The limited 4D space-time only allows us rare glimses into the larger picture. It's a little like looking out of the porthole (A Gardner Like That One above) of an ocean-going vessel and thinking that's all there is to the ocean. Enough wrangling with the words, time for the GeoMetry (gee, i'm a tree!) using a concrete example.

{And to our left, allow me to call Your attention to the Bliss comic panel of Tuesday May 17, 2011, insinuating that a b**tch explains 'it'; an accolade meaning "Congratulations! __ (Insert Name) has now graduated UFO Academy (summa cum laude)"}
The orbit of the Moon around the Sun is a convex curve approximated by:
(400cos t + cos 13t, 400 sin t + sin 13t)

When expanded this yields:
160000 cos^2(t)+cos^2(13 t)+800 cos(13 t) cos(t)
+ 160000 sin^2(t)+sin^2(13 t)+800 sin(13 t) sin(t)

Which can then be simplified to: 160000 + 800 cos (12t)

And since we're not trying to land anyone on the Sun or the Moon, but simply doing this as an excercise to bridge the esoteric to the familiar, we can say the relationship approximates:

160000 + 800 cos (13t)
or about 40 + cos (13 t)

And, thanks to wolframalpha, the (exagerrated) curve for which appears on the right.

A few things worth mentioning about the Moon's orbit around the Sun is that it is essentially elliptical, it is locally convex, and when we consider the sidereal month of 27.32 days instead of the synodic month of 29.54 days, the ellipsoid is more like a tridecagon.

From studying the concept of 'unwrapping' curves from developmental surfaces, we learned a curve that lies on a conic surface and its ceiling projection are the same type, such that an ellipse projects as an ellipse, a parabola projects as a parabola, and a hyperbola projects as a hyperbola; although, their eccentricity may differ. And we know from observation that the radius vector (r) of objects with elliptical orbits 'sweeps equal areas in equal times'.

That last statement about elliptical orbits is how we were taught to think about orbits in school. Thinking in terms of 'uwrapping' and/or 'projecting' curves from developmental surfaces (such as cylinders and cones) simplifies this relationship since the areas are preserved in much the same way arclength is invariant, eliminating the need to consider the Time, and allowing us to focus on the spacial attributes alone.

{Proofs and more illustrations can be found at the source used here, "Unwrapping Curves from Cylinders and Cones," by Apostol & Mnatsakanian (The Mathematical Association of America, Monthly 114).}

The illustration on the left depicts a conic curve C with its 'ceiling projection' curve C0 (A ceiling projection of a conic curve is like having it lie on the surface of the cone and then the cone is 'popped' open like one would an umbrella). Conic curves projected in this manner have the following attributes:

1. a focus at the Vertex of the cone
2. a directrix L at a line of intersection of the cutting plane and the ceiling plane
3. eccentricity denoted by lambda = tan (alpha) tan (beta)
4. is a polar equation:


r (phi) = r(0)/(1+ lambda*sin(phi))


Having one focus at the vertex of the cone is significant in that we know for elliptical orbits the center of mass of "...the orbiting-orbited system is at one focus of both orbits" and the general assumption is that there is "... nothing present at the other focus."


However, in the search for 'missing mass', based on conic projections of orbits and the relationships between the viewing plane and the observed point P0, and what we know of the observable 'detectable mass', it would be safe to posit that the second focus is actually the barycenter of the 'missing mass' related to P0 ( which in Reality is a projection of the Actual point P; while it cannot be observed directly from the viewing plane, however, its 'gravitational' effects probably are what manifest as the presence of the secondary focus, which makes it appear as if 'there is nothing present at the other focus').

Conic C (figure above left) and its ceiling projection Co share the following relationships:

1. the ratio of the projected curve
Co radial vector (r) to the distance (d) is constant and independent of
P or Po and is the same as eccentricity (lambda) s.t. r/d = lambda = tan
(alpha) tan (beta)

2. the polar equations
of the unwrapped curve (C) and its ceiling projection (Co) are related by a
constant k = 1/sin(alpha) s.t. R(theta) = k r(theta)

3. the area A of the projected curve Co after one complete
revolution (phi =2 pi) of unwrapping the curve C is given by:

A = E cos (beta) = S sin(alpha)= pi*rho*s

(where: E= disk area of conic C, beta = its angle of inclination, S= finite lateral surface of the cone subtended by C and its vertex, alpha = the half-angle of the cone with vertex angle=2(alpha), rho = radius of the cone base, s= unwrapped arclength of C on the surface of the cone.

A generalized conic is a planar curve generated when a conic curve is projected onto a ceiling plane with a focus at the vertex (V) of the cone. In the figure above a generalized ellipse with period interval length 2pi/k, k=5.5, lambda = 0.22 is generated after 1 period only. In (b) and (c) the same generalized ellipse after 5 and 11 periods, respectively.
The figure on the right depicts an approximate annual orbit of the Moon around the Sun as a generalized conic; 1-year orbit is about 13 synodic months, or 13 periods.

According to the figure on the right the period interval length is approximately
55.4 deg =2 pi/k,
giving
k=6.5

Similar shapes found in nature may be describe in the same manner.

{having run my one brain cell to the ground getting this far, time to move on to a refresher exercise otherwise known as "physics from lyrics"} And, yes, while the aim of all the above may seem nebulous, that's more owing to lack of time than understanding on my part, and the fuzziness clears right up given a little attention. A little like when expressing the simple sentiment "all roads lead to Rome" as a refomulated old Irish Blessing, "May all roads lead You Home", which could prove to be a Curse as much as a Blessing, depending on who You find waiting there for You.

The main idea is to derive the orbit as a generalized conic and consider that there is symmetry in the integral of a smooth function f over the closed boundary of a geometric curve S that is equal to the integral of the derivative of the function f ' over the figure S itself. {What she said, expressed succinctly in the equation below, and That's why Math!}


The explicit form of this relationship appears in physics time and again. The linear case as the Riemann integral (calculating the function at the endpoints of a line equals the integral of its derivative on the line); the 2-D case of integrating f over the closed curve bounding a surface equals the integral of f’ on the surface (as in Stokes’ Theorem and Ampere’s Law); the 3-D case as given by Gauss’s Law of integrating a function f over a closed surface surrounding a volume equals the integral of f’ throughout the volume. (from THE MAP OF PHYSICS, EXPLORATIONS OF NEORATIONALISM, Essays in the Nature and Uses of Reason, by Dennis Anthony)

Ceiling projections of a hole drilled (bored) through a cone’s axis.
Compare to Cassini Ovals, below.

Bean Curves, Qurartic Curves have Parametric Given By:

Ceiling projections of a hole drilled (bored) through a cone’s axis. Note: Bean Curves appear in the first column bottom row, (from Unwrapping Curves...)

Cassini Ovals, Quartic Curves Given By The Parametric

{I am no apologist, but You know by now that I pretty much forgot much of my key life experiences up to this point, especially the higher-learning part of it, but it seems I can finagle some understanding of it up to 9th grade (which includes Geometry & Trig). (And, don't be misled into thinking or trying to figure out this weird amnesia; that, while it may seem to be selective, at times I think it is a protection mechanism and at other times it may serve as the only polite way to avoid having to confront the outlandish; especially when random strangers 'say' things about me like 'why can't she remember' in the third person while they stare pointedly at me and know I am present. Since I don't know who 'they' are and none of them seem to ever bother with an introduction, I act like I don't 'hear' a thing--so, go right on talking about me to me like I am not in the room!) }

I am constantly reminded that 'it' is not about Me, and my Ego is not so grandiose nor so fragile as not to permit continuing to operate under such an assumption--that it isn't about Me. Can You imagine how paranoid I would be if I ever thought it otherwise, especially when confronted with song lyrics about "Every Breath You Take" (The Police).

So, let's just say, for argument's sake, that it is about Sting (the talent behind the aforementioned lyrics) and what Sting may have been thinking when he wrote the lyrics to "Ghost Story".

Since Sting is an Englishman by birth and speaks English as his first language and was an English teacher, it may be reasonable to assume that he means what he says and says what he means (in English)--making him one of the most literate songsters around--making his lyrics relatively easy to parse for our purposes here.

What is the force that binds the stars
I wore this mask to hide my scars
What is the power that pulls the tide
I never could find a place to hide

What moves the Earth around the Sun
What could I do but run and run and run... -excerpt from " Ghost Story" lyrics by Sting from the album "Brand New Day"

While the lyrics are profound and the experience of hearing Sting's rendition of "Ghost Story" quite moving, the answer to many of his questions is "I don't know." At the end of the song, the listener is satisfied with Sting's jump to conclusion, "I must have loved you."

Really? Is that all? Just an assertion without any proof? Just a series of observations and a lack of post doctorate studies in physics or math?

To demonstrate how well this model runs without Me, I will now show (Computer Command Copy on Write) that Sting unwittingly holds the answers to his own thoughtful questions. (Not by Magic, but by the premise that All Inspiration comes from God--that's why You should just tell me and not have to rouse Mr. Sting up from his sound slumber in the middle of the night to go multi-platinum with it.)


W/hat is= the force F, that binds the stars (Gravitational Binding Energy)...
Ŵ=∫▒〖F dx〗; Ŵ=BE ; F = dŴ/x+c= dBE/x+c



W/hat is= the P(power), that pulls(mechanical work) the tide (tidal)


W/hat moves(equation of motion for) the Earth around (polar/cylindrical/orbit) the Sun

W/hat could I(Current, Impedence, Impulse) do but run + run + run (streaming) (you could take a walk)

W in physics/math can mean a few things directly applicable to the query:

W= watt (unit of Power); W= mechanical Work; W= dimensional (w(width) or ωx (frequency); W=Lambert W function; W = W Boson.


Just a cursory look at the lyrics indicates that they break down the physics in somewhat of a coherent way, in that Work is the amount of energy transferred by a force acting through a distance in the direction (vector) of the force. The units for Work and Energy are the same (joules), scalar quantities, and Watts are units of Power which is the amount of energy expended or work done per unit time (dW/dt)--a differential.

Sting's veiled, yet keen, insight is more evident when W is understood to be the Lambert Function, which provides an exact solution to the quantum-mechanical double-well Dirac delta function model which consists of a time-independent Schrödinger equation for a particle in a potential well defined in one dimension. Applications of the Lambert W function is ubiquitous in physics including, but not limited to, the areas of atomic, molecular, and optical physics.

And while W as width may seem out of place with the other W indicators, it makes perfect sense in this context when considering Feynman's assertion, and it seems only appropriate that Feynman be mentioned along with Tesla and Einstein:

• "These notions of potential and kinetic energy depend on a notion of lengthscale. For example, one can speak of macroscopic potential and kinetic energy,
  which do not include thermal potential and kinetic energy. Also what is called
  chemical potential energy (below) is a macroscopic notion, and closer
  examination shows that it is really the sum of the potential and kinetic energy
  on the atomic and subatomic scale. Similar remarks apply to nuclear "potential"
  energy and most other forms of energy. This dependence on length scale is
  non-problematic if the various length scales are decoupled, as is often the case
  ... but confusion can arise when different length scales are coupled, for
  instance when friction converts macroscopic work into microscopic thermal
  energy."--Feynman

Feynman specifies "length" but the general meaning is a scale of 1-dimension, so, length, width, height, etc. are exchangeable. Of course, what Feynman is really talking about, in physics parlance, is the idea of fractals "As Above, So Below."

The /hat (^ ) operator, usually presented over a value or function means: Fourier transform; the element removed from a set; a unit vector (a dimensionless vector with magnitude 1); or used to denote an estimator or an estimated value x vs theoretical x. Read as x-hat or x-roof, where x represents the character under the hat.

Given the various interpretations of W above, the implications are:

• since Work, Energy, and Power are scalar in our 4D space-time, in order for them to be understood as vectors, they must be moved up a notch (or 2 or more) in order for w/hat to make sense as a unit vector (dimensionally speaking); so, based on the 'lyrics to physics' these relationships hold true in higher order dimensions as non-scalars. {So w/hat if I'm wrong? The Theory Of Everything must include Everything from A Tree Grows in Brooklyn to the Kitchen Sink!}
  
  ..look, a joke can run its course and in this case been taken too far, but I have to say hearing "the wife" reference coming from strangers is offensive to say the least and utterly ignorant & insensitive to put it mildly.{I need to see my Father, stop paying bills & stop getting e-mails at the office from colleagues who verify my e-mail address is not ever in their send log}

The Unfolding

Surah 74 AlMuddathir (الْمُدَّثِّرُ) (The Enveloped/Enfolded/Wrapped Up One)

(74:1) O You Enfolded One (Enveloped/Wrapped Up In Your Mantle)
(74:2) Arise and Warn! (Ascend/Mount Up To Deliver The Message)


You, My Dear, Can give any Message You would like at this point. Since I've been hung out to dry for over 14 years by my reckoning, the only message I feel the need to deliver is in answer to the question, "Why are the planetary orbits elliptical?"

Plane curves (lines, circles, parabolas, sine curves, etc.) that are wrapped onto cylinders of varying radii exhibit a sinusoudal influence, and can be characterised in terms of equations whose solutions are simple 2-Dimensional geometric transformations(rotation, translation, etc.), without resorting to calculus.
A cylinder is a developmental surface it can be 'flattened' or 'unwrapped' onto a plane without distortion--Mathematically expressed as having Zero Guassian Curvature Κ , (intrinsic curvature is Zero). Gaussian curvature is defined as the product of the principal curvatures κ1 and κ2.




Κ = κ1κ2
And since cylinders can be transformed flat without compression or expansion (distortion), unwrapping a curve that lies on the surface of a cylinder preserves the distance between points on that curve. In other words, any arc lengths on their profile unfolds/unwraps/uncurls onto a line segment of the same length. The diagram above shows the simple case where an arc on a right cylinder's circular profile is unwrapped by rolling the cylinder along its side; the end point on the circle projects onto a point t, but unwraps onto a point x. And since the sinusoidal influence is determined by the relationship of the arc length to the linear projection, unwrapping curves that lie along the cylinder surface gives rise to their periodic nature.









By extension, space curves unwrapped from the lateral surface of a right circular cone produce periodic plane curves. (An interesting anolog found in nature of curves unwrapped from conics is the lunar obit).



A line segment (the shortest distance between two points) wrapped onto a right circular cylinder is also a geodesic arc (shortest path) on the cylinder, no matter how tightly it is rolled (decreasing r) and the profile of a geodesic arc on a right circular cylinder is a function of arcsine. * A geodesic on a circular cylinder is always part of a circular Helix.



The profile of such a wrapped line is given by:





p(t)=cr arcsin (t/r) (where; c= constant, r=radius, t= projected point)
In case of a right circular cylinder, eccentricity is 0, where such a line in the xyz plane is given by z=t lies at a 45 degree angle to the generators (a=pi/2), the tightly wrapped line would stack into circular ringlets should the cylinder collapse orthogonally (like a Slinky would when there is no tension). The profile of such a line in this particular case is given by:









p(t)= ct^2





The stacked ringlets (circles) it forms are given by:





z^2 + t^2 = r^2
There are 3 ways to distort these circles into ellipses, by changing the viewing angle either via rotating the cylinder or changing the position of the outside Observer or by deforming the cylinder itself (squeezing it) so that the eccentricity is no longer 0. Changing the viewing angle is simply a matter of shifting perspective (--); physically deforming the right cylinder such that its eccentricity is no longer 0 requires effort (Force).









So, this begs the question, when considering planetary orbits, is it the perspective that makes the orbits appear to be elliptical or something more intrinsic?





From a purely geometric consideration, and realizing that circles are in fact merely ellipses with eccentricity=0, it is strange that the more generic elliptical orbits are the common case and not the perfect circular orbit.





In a 2-body system where a much heavier object is at the center, a circular orbit would be the expected outcome, or the ideal case, in any event. Neptune's largest moon, Triton, comes closest to this ideal case in the Solar system, with eccentricity=0.000016. {That of the Earth's orbit around the Sun is 0.01675 (a far cry from the exaggerated elliptical orbit often depicted in the literature)--based on a cursory look at the limited curricular activity on the web, it's no longer a surprise that the Germans landed first--in my living room--& very good helpers they are, too, even if they do tend to overshop the tomatoes.





The event alluded to happened over a dozen years ago and has nothing to do with my state of mind which was as sound then despite the intractable headache as it is now despite the fact that a casual trip to the local library to pick up a book accompanied by my child has some people conspicuously talking to You about 'stopping her, now!'





Is 'stop her' code for 'shoot her'? (^_~)





And it's a good thing You didn't because it isn't like I don't give You ample opportunities to do just that without the children present; and it would be in exceedingly poor taste if something like that were to happen right in front of their eyes given how much of a predictable, isolated, easy mark I make myself the rest of the time when they are not around.} "<o _<o"





Anyway, back to the present.





That the geodesic is the shortest distance between two points on the surface of a cylinder, regardless how tightly it is rolled up, is interesting from the perspective of an outside observer in that an object or person following this route would appear to be going around in circles (elliptical path), but from that traveller's or object's point of view they think they are travelling in a straight line.





An interesting variation on this theme is if the object or person were to follow a weaving path in a sinusoidal fashion in a plane that is then rolled up into a right cylinder. The sinuous path can represent Time as well as Displacement. One familiar representation of just such a path is the apparent Time Difference due to the Earth's orbit about the Sun (The Time Equation).










A knack for stating the obvious is one of my strong suits. Orbits "unfolded" in such a manner are indistinguishable from displacement due to simple harmonic motion, as found in springs that obey Hooke's Law or the motion of a Pendulum.





In terms of the Geometry, an Orbit is essentially a Straight Line 'Wrapped' around a Developmental Surface (like that of a Cylinder), and its Profile is essentially a Circular (Elliptical) Path.





By extension: Time (t) is a Projection of Orbit onto a Tangential Viewing Plane. Each Point in Time is also a Position (x) in the Orbital path. As that Path (displacement) 'unfolds/unwraps' (theta) onto the Viewing Plane, the Time correlates to a particlular Place (x) on the Orbit's Profile given by:





x= (Time*Theta)/(Sin (Theta))





or x= Time*θ Csc[θ] = ; and





alternatively;











and for the Real Time, and Place and Angular Displacement (Azimuth)











Interstingly has only 1 Real Integer Root at t=0;

Does this mean that In Reality Nothing Really Ever Happens?





(Projecting a Point and/or Unwrapping a Curve from a Developmental Surface is like Stepping Down from a Higher Dimension. When the need to refresh What this is all about arises, we can always go back to How Emily treats Bob, and Where Angels come from--always leaving the residual question, Why?)

"They forgot Y I told U!"
The Argyle Sweater -Confusion at the Alphabet Gang Hideout
Appeared in the March 1, 2014 Los Angeles Times Comics Section

*Unwrapping Curves from Cylinders and Cones, Apostol and Mnatsakanian, 1997, The Mathematical Association of America; pp 392-415

Funny Thing Happened On The Way To Get A Wax

I understand We may have a failure to communicate but not on all levels.

Your search string "ن ا ز ل ل ل ب ح ر"

understood to mean "I am descending to the Sea"

Your timing could be better since I am not there but I happen to be on my way to get a Brazillian bikini wax.

The inquiry came via Sao Paolo.

Sourcing

Justin Tyme is a friend of mine, it may be Risk-y but what the hay....

01111

0111

11011 0 or 1 101

0111 0 or 1 1 1110111

011111

0111 0 or 1 1

inverse

10000

1000

00100 1 or 0 010

1000 1 or 0 00001000

100000

1000 1 or 0 0

You know, Justin, it would be helpful if you could step in and find out at what point this becomes self-propagating; that's what friends are for. This all just looks cryptic, not so if You are a Zero--just visit the ZeroPage (http://en.wikipedia.org/wiki/Zero_page_(CP/M)

Code 1:1 thru 2:25

Sans oo, ah, ee, uh-uh!

ب س م ا ل ل ه ا ل ر ح م ن ا ل ر ح ي م

(1:01) 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 or 1 1

ا ل ح م د ل ل ه ر ب ا ل ع ا ل م ي ن

(1:02) 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 or 1 1

ا ل ر ح م ن ا ل ر ح ي م

(1:03) 0 1 1 1 1 1 0 1 1 1 0 or 1 1

م ا ل ك ي و م ا ل د ي ن

(1:04) 1 0 1 1 0 or 1 1 1 0 1 1 0 or 1 1

إ ي ا ك ن ع ب د و إ ي ا ك ن س ت ع ي ن

(1:05) 0 0 or 1 0 1 1 1 1 1 1 0 0 or 1 0 1 1 1 1 1 0 or 1 1

ا ه د ن ا ا ل ص ر ا ط ا ل م س ت ق ي م

(1:06) 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 or 1 1

ص ر ا ط ا ل ذ ي ن أ ن ع م ت ع ل ي ه م و ل ا ا ل ض ا ل ي ن

(1:07) 1 1 0 1 0 1 1 0 or 1 1 0 1 1 1 1 1 1 0 or 1 1 1 1 1 0 0 1 1 0 1 0 or 1 1

أ م ي ن

0 1 0 or 1 1

ب س م ا ل ل ه ا ل ر ح م ن ا ل ر ح ي م

(1:01) 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 or 1 1

(ا لم (2:1

ا ل م

(2:01) 1 30 40

ذ ل ك ا ل ك ت ا ب ل ا ر ي ب ف ي ه ل ل م ت ق ي ن

(2:02) 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1

ا ل ذ ي ن ي ؤ م ن و ن ب ا ل غ ي ب و ي ق ي م و ن ا ل ص ل ا ة و م م ا ر ز ق ن ا ه م ي ن ف ق و ن

(2:03) 0 1 1 0 or 1 1 0 or 1 ؤ

1 1 1 1 1 0 1 1 0 or 1 1 1 0 or 1 1 0 or 1 1 1 1 0 1 1 1 0

ة

1 1 1 0 1 1 1 1 0 1 1

0 or 1 1 1 1 1 1

و ا ل ذ ي ن ي ؤ م ن و ن ب م ا أ ن ز ل إ ل ي ك و م ا أ ن ز ل م ن ق ب ل ك و ب ا ل آ خ ر ة ه م ي و ق ن و ن

(2:04) 1 0 1 1 0 or 1 1 0 or 1 ؤ 1 1 1 1 1 1 0 0 1 1 1 0 1 0 or 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 ة 1 1 0 or 1 1 1 1 1 1

أ و ل ئ ك ع ل ى ه د ى م ن ر ب ه م و أ و ل ئ ك ه م ا ل م ف ل ح و ن

(2:05) 0 1 1 ئ 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 ئ 1 1 1 0 1 1 1 1 1 1 1 إِ ن ا ل ذ ي ن ك ف ر و اْ س و ا ء ع ل ي ه م أ أ ن ذ ر ت ه م أ م ل م ت ن ذ ر ه م ل ا ي ؤ م ن و ن

(2:06) 0 1 0 1 1 0 or 1 1 1 1 1 1 0 1 1 0 ء 1 1 0 or 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 or 1

ؤ 1 1 1 1 خ ت م ا ل ل ه ع ل ى ق ل و ب ه م و ع ل ى س م ع ه م و ع ل ى أ ب ص ا ر ه م غ ش ا و ة و ل ه م ع ذ ا ب ع ظ ي م

(2:07) 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 ة 1 1 1 1 1 1 0 1 1 1 0 or 1 1

و م ن ا ل ن ا س م ن ي ق و ل آ م ن ا ب ا ل ل ه ب ا ل ل ه و ب ا ل ي و م ا ل آ خ ر و م ا ه م ب م ؤ م ن ي ن

(2:08) 1 1 1 0 1 1 0 1 1 1 0 or 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 or 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 ؤ 1 1 0 or 1 1

ي خ ا د ع و ن ا ل ل ه و ا ل ذ ي ن آ م ن و ا و م ا ي خ د ع و ن إ ل ا أ ن ف س ه م و م ا ي ش ع ر و ن ي ك ذ ب و ن

(2:09) 0 or 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 or 1 1 0 1 1 1 0 1 1 0 0 or 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 or 1 1 1 1 1 1 0 or 1 1 1 1 1 1

ف ي ق ل و ب ه م م ر ض ف ز ا د ه م ا ل ل ه م ر ض ا و ل ه م ع ذ ا ب أ ل ي م ب م ا ك ا ن و ا

(2:10) 1 ي 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 or 1 1 1 1 0 1 0 1 1 0

و إ ذ ا ق ي ل ل ه م ل ا ت ف س د و ا ا ل أ ر ض ق ا ل و ا إ ن م ا ن ح ن م صْ ل ح و ن

(2:11) 1 0 1 0 1 0 or 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1

أ ل ا إ ن ه م ه م ا ل م ف س د و ن و ل ك ن ل ا ي ش ع ر و ن

(2:12) 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 or 1 1 1 1 1 1

و إ ذ ا ق ي ل ل ه م آ م ن و ا ك م ا آ م ن ا ل ن ا س ق ا ل و ا أ ن ؤ م ن ك م ا آ م ن ا ل س ف ه ا ء أ ل ا إ ن ه م ه م ا ل س ف ه ا ء و ل ك ن ل ا ي ع ل م و ن

(2:13) 1 0 1 0 1 0 or 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 ؤ 1 1 1 1 0 0 1 1 0 1 1 1 1 0 ء 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 ء 1 1 1 1 1 0 0 or 1 1 1 1 1 1

و إ ذ ا ل ق و ا ا ل ذ ي ن آ م ن و ا ق ا ل و ا آ م ن ا و إ ذ ا خ ل و ا إ ل ى ش ي ا ط ي ن ه م ق ا ل و ا إ ن ا م ع ك م إ ن م ا ن حْ ن م س ت ه ز ؤ و ن

(2:14) 1 0 1 0 1 1 1 0 0 1 1 0 or 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 or 1 0 1 0 or 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 ؤ 1 1

ا ل ل ه ي س ت ه ز ى ء ب ه م و ي م د ه م ف ي ه ط غ ي ا ن ه م ي ع م ه و ن

(2:15) 0 1 1 1 0 or 1 1 1 1 1 0 ء 1 1 1 1 0 or 1 1 1 1 1 1 0 or 1 1 1 1 0 or 1 0 1 1 1 0 or 1 1 1 1 1 1

أ و ل ئ ك ا ل ذ ي ن ا ش ت ر و ا ا ل ض ل ا ل ة ب ا ل ه د ى ف م ا ر ب ح ت ت ج ا ر ت ه م و م ا ك ا ن و ا م ه ت د ي ن

(2:16) 0 1 1 ئ 1 0 1 1 0 or 1 1 0 1 1 1 1 0 0 1 1 1 0 1 ة 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 or 1 1

م ث ل ه م ك م ث ل ا ل ذ ي ا س ت و ق د ن ا ر ا ف ل م ا أ ض ا ء ت م ا ح و ل ه ذ ه ب ا ل ل ه ب ن و ر ه م و ت ر ك ه م ف ي ظ ل م ا ت ل ا ي ب ص ر و ن

(2:17) 1 1 1 1 1 1 1 1 1 0 1 1 0 or 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 ء 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 or 1 1 1 1 0 1 1 0 0 or 1 1 1 1 1 1

ص م ب ك م ع م ي ف ه م ل ا ي ر ج ع و ن

(2:18) 1 1 1 1 1 1 1 0 or 1 1 1 1 1 0 0 or 1 1 1 1 1 1

أ وْ ك ص ي ب م ن ا ل س م ا ء ف ي ه ظ ل م ا ت و ر ع د و ب ر ق ي ج ع ل و ن أ ص ا ب ع ه م ف ي آ ذ ا ن ه م

م ن ا ل ص و ا ع ق ح ذ ر ا ل م و ت و ا ل ل ه م ح ي ط ب ا ل ك ا ف ر ي ن

(2:19) 0 وْ 1 1 0 or 1 1 1 1 0 1 1 1 0 ء 1 0 or 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 or 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 or 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 or 1 1 1 0 1 1 0 1 1 0 or 1 1

ي ك ا د ا ل ب ر ق ي خ ط ف أ ب ص ا ر ه م ك ل م ا أ ض ا ء ل ه م م ش و اْ ف ي ه و إ ذ ا أ ظ ل م ع ل ي ه م ق ا م و ا و ل و ش ا ء ا ل ل ه ل ذ ه ب ب س م ع ه م و أ ب ص ا ر ه م إ ن ا ل ل ه ع ل ى ك ل ش ي ء ق د ي ر

(2:20) 0 or 1 1 0 1 0 1 1 1 1 0 or 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 ء 1 1 1 1 1 1 0 1 0 or 1 1 1 0 1 0 0 1 1 1 1 1 0 or 1 1 1 1 0 1 1 0 1 1 1 1 0 ء 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 or 1 ء 1 1 0 or 1 1

ي ا أ ي ه ا ا ل ن ا س ا ب و ا ر ب ك م ا ل ذ ي خ ل ق ك م و ا ل ذ ي ن م ن ق ب ل ك م ل ع ل ك م ت ت ق و ن

(2:21) 0 or 1 0 0 0 or 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 or 1 1 1 1 1 1 1 0 1 1 0 or 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

ا ل ذ ي ن ج ع ل ل ك م ا ل أ ر ض ف ر ا ش ا و ا ل س م ا ء ب ن ا ء و أ ن ز ل م ن ا ل س م ا ء م ا ء ف أ خ ر ج ب ه م ن ا ل ث م ر ا ت ر ز ق ا ل ك م ف ل ا ت ج ع ل و ا ل ل ه أ ن د ا د ا و أ ن ت م ت ع ل م و ن

(2:22) 0 1 1 0 or 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 ء 1 1 0 ء 1 0 1 1 1 1 1 0 1 1 1 0 ء 1 0 ء 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1

و إ ن ك ن ت م ف ي ر ي ب م م ا ن ز ل ن ا ع ل ى ع ب د ن ا ف أ ت و ا ب س و ر ة م ن م ث ل هِ و ا د ع و ا ش ه د ا ء ك م م ن د و ن ا ل ل ه إ ن ك ن ت م ص ا د ق ي ن

(2:23) 1 0 1 1 1 1 1 1 0 or 1 1 0 or 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 - 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 ء 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 or 1 1

ف إ ن ل م ت ف ع ل و اْ و ل ن ت ف ع ل و ا ف ا ت ق و ا ا ل ن ا ر ا ل ت ي و ق و د ه ا ا ل ن ا س و ا ل ح ج ا ر ة أ ع د ت ل ل ك ا ف ر ي ن م ن ا ل أ ن ه ا ر

(2:24) 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 0 or 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 ة 0 1 1 1 1 1 1 0 1 1 0 or 1 1 1 1 0 1 0 1 1 0 1

و ب ش ر ا ل ذ ي ن آ م ن و ا و ع م ل و ا ا ل ص ا ل ح ا ت أ ن ل ه م ج ن ا ت ت ج ر ي ت ح ت ه ا ك ل م ا ر ز ق و ا م ن ه ا م ن ث م ر ة ر ز ق ا ق ا ل و ا ه ذ ا ا ل ذ ي ر ز ق ن ا م ن ق ب ل و أ ت و ا ب ه م ت ش ا ب ه ا و ل ه م ف ي ه ا أ ز و ا ج م ط ه ر ة و ه م ف ي ه ا خ ا ل د و ن

( 2:25) 1 1 1 1 0 1 1 0 or 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 or 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 ة 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 or 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 or 1 1 0 0 1 1 0 1 1 1 1 1 ة 1 1 1 1 0 or 1 1 0 1 0 1 1 1 1

{at this point (still buggy) I realize I need the knowing skills of a talented Linguist (Cuniform or Cyrillic) but that just leaves the Field wide open for offcolorbedroomjokes, nyuk!)

Inscrutable Scruples

Checkered Past Includes Having Been Seen In a Bunny Suit

...On More Than One Occasion.

Okay, Okay. If you haven't guessed it by now I'll just have to admit it.

I am the Alien.

I come from a Planet where Men know how to treat a fine Cuban cigar and Women know better than to insert ignitable objects into their body cavities.

Gushing Glory

“C'est singulier! Moi, je pense jamais, mes idées pensent pour moi.”
(It's Strange! Me, I never think my ideas are for me (my sake)."
--Alphonse de Lamartine (1790-1869), French Poet

'Dis Honorable Discharge' sounds bad to everyone but Rocky Balboa.

(bet You can't guess what this is all about...I'll give you a minute to think about it.

For the impolite clue; it boils down to 'coming and going', and the fact that in this day and age, 2011 CE?, the medical community still doesn't know where women come from. Really, I read recently, even while using MRI studies of copulating couples they can't tell. The debate is first, whether women can 'come' at all, and second, if they do 'where exactly does it issue from?'. Some claim women can't/don't cum at all and that it's just urine--as if they can't do a simple sniff test to find out whether or not it is incontinence...



For a more refined take on this post, suitable for discussion in mixed company, members of the audience that can't stomach bodily functions may prefer to think of this survey in terms of PNP(pissingin) and NPN(notpissingin) bipolar junction transistors.

While I may have recently read the article Magnetic Resonance Imaging of Male and Female Genitals During Coitus and Female Sexual Arousal , it is not a recent article (first published in 1999).

The authors acknowledge "It has been extremely difficult to investigate anatomical changes during the act of coitus and the female sexual response".

The essential message being; "Since the medical establishment can't tell how or where a woman 'comes' from, the mainstream position is that her bladder fills during intercourse so it must be that any discharge resulting from sexual arousal is due to involuntary urination!"This way the woman does not ever believe she can have the equivalent of what we know as male ejaculation and if there is such a phenomenon as 'female ejaculation' the woman is misled into thinking that she is a 'Wets-y Betsie' and, consciously or subconsciously, is forced to suppress any such phenomenon from arising in her for fear of a disgraceful, embarrassing leak...

Triangulating Human Sexuality is not easy for someone that half the time can't locate their own vehicle in a mall parking lot, but here goes...
Surah 86 At-Tariq (الطَّارِقِ)
...
فَلْيَنظُرِ الْإِنسَانُ مِمَّ خُلِقَ 86:5
خُلِقَ مِن مَّاء دَافِقٍ 86:6
يَخْرُجُ مِن بَيْنِ الصُّلْبِ وَالتَّرَائِبِ 86:7

86:5 So let (such that) the Human Being See (Understands) Of What (they) Are Created
86:6 Created From/Of Watery Effluent (stream, race, influx, afflux, outpouring, inflow/outflow, pouring, pumping, effluence...)
86:7 Coming out (emerging, exiting, surfacing) from/of between the 'al-ssalbi' (n.; steel, Crux, crucifixion, loin, ramrod, cross-cut, betterment. v.; crucify, harden, consolidate, stiffen, temper, call out, sear, castigate. adj.; solid, firm, rigid, tough, stiff, concrete, robust, metallic, adamant, unyielding, inflexible, unkind, stark, horny, stubborn, tenacious, resistant, solidity, cruel, corneous, persistent, callous, stabile, out-and-out) and 'al-'ttaraa'ibi' (Alterae (Altair); var. رأب ra'b, bridge, garage; al-tara ibi (ForeFathers' + White Flyers).
In broad strokes, a woman's ejaculate? is probably tied in with the lymphatic or intersticial fluid and issues due to involuntary smooth muscle contractions during foreplay and/or orgasm. There may be more than one source of the feminine ejaculation, depending on the level of heightened sexual arousal. For example, from the vagina itself, and/or from the feminine physiology that corresponds (is the complementary dual, homologue) to the male phyiscal structures involved in masculine ejaculation.

According to wikipedia (which may not be the last word on the subject, but it does 'come in handy'--to turn a phrase) "The parts of the clitoris hidden inside the body include erectile tissue, glands, muscles, blood vessels, and nerves. In both the clitoris and the penis, there are two types of erectile tissue: body of caverns (corpus cavernosum) and spongy body (corpus spongiosum), which fill with blood during sexual response, causing an erection. The clitoral shaft...feels like a hard ridge about one-half to one inch long, and it rises toward the pubic mound for a short distance, then bends sharply and divides, forming two slender legs which are also made of spongy tissue. The legs flare out like the wishbone of a chicken. In both women and men, the urethra is surrounded by a ring of sponge."

The markers being the ''two slender legs' (see the description of the Summer Triangle) of the spongy tissue and 'flare out like the wishbone of a chicken" (the 'As Above...So Below' analogy being Sadr (Gamma Cygni) which lies prominently at the Center of the Northern Cross in the Cygnus Constellation (The Swan); its name comes from an Arabic phrase meaning "the hen's breast." (Anybody care to make a wish? Or do more Homework?)