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Are You the King of Scotland?
Michael Stewart thinks he is, and hes got evidence to back it up. In his book
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he outlines his case, arguing:
"I may not be able to unify the entire nation, but as the rightful Prince and High Steward of the Scots, and as the direct senior descendant of our Patriot King, Robert the Bruce, I can certainly help to encourage Scotlands traditional spirit of self-determination and independence."
Basically, Prince Michael James Alexander Stewart, 7th Count of Albany, claims to be the real successor to the Stuarts, Kings of Scotland and then England until the House of Hanover ascended in 1714.
Who is Michael Stewart? He was born in Belgium on April 21, 1958 and was raised at the Château du Moulin in the Ardennes. He had succeeded to the de jure Stewart throne in 1963, upon the death of his great-uncle, Prince Anthony James Stewart. Prince Michael thus became 7th Count of Albany, Count Stuarton, Duke of Kendal and Kintyre, 26th Lord High Steward of Scotland, and Head of the Royal House of Stewart. Prince Michael was son of Princess Renée Stewart, also Lady Dernley and Princess Royal of Strathearn. His father was Baron Gustave Joseph Clement Fernand Lafosse de Chatry, Comte de Blois.
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Hi All,
I'm using the Physics package, which enables GR calculations, ie defining metrics and tensor algebra.
Was just curious if it were possible to add a perturbation to the metric when calculating Ricci and Christoffels.
I would like something like
g_[] = g1_[mu,nu] + h[mu,nu]
And then do a calculation like,
I know this would be possible if I define everything and re-write the calculations for calculating Ricci, i.e
Define(g1[mu,nu], h[mu,nu]);
and the proceed with GR calculations to find Ricci, however was hoping there was an easier way to do this.
Any help is appreciated.
Thanks guys.
I'm new to the physics package - wondering if i can tweak it a bit to look like things i'm used to:
is there a way to make Christoffel symbols print as upper case gamma, instead of 'G'?
KroneckerDelta print as lower case delta, instead of 'd'?
can i make the Schwarzschild metric look like it does in Hartle, Carroll, and others:
-(1 - 2M/r)dt^2 + (1-2M/r)^-1 + r^2(dtheta^2 + sin(theta)^2 dphi^2)
i know about setting the signature in Setup.
i have tried the 'Coordinates' command, but when i give it X=[t,r,theta,phi] i always seem to get back
i am running maple 2016
many thanks,
I want to write the functional Z of J with in terms of the fourier transform of J: .
Actually I'm in Minkowski space and all the integrals should be over 4 dimensions, x,y,k,p should all be four-vectors, but I wanted to keep things short. (The only way I have found to express a 4D integral is using Physics-Intc with the singleparameters of the four vector. Is there a more convenient way to get ?) But still in 1D I cannot solve it.
To find the solution, an exponential of only one integral, is actually pretty easy, since there are integrals over e. g. deliver a delta distribution, but I cannot reproduce this in Maple since he doesn't perform the integral over x.
I have found that I can/have to use the command inttrans-fourier to gain the delta distribution, but when I try to use it for the problem mentioned above I run into all kinds of problems. Not to mention that I cannot manage to perform a fourier transformation in 4D.
Does anybody know how to solve this problem? Thanks!
Hi all,
Using the Physics package, I have defined a density operator, shown in the image below:
(I did assume(s ≠i), assume(v≠h).
I then operate on it with the Bracket as shown in the next image:
I think this should evaluate to (|Y,s,h><Y,s,h|)/2; or at least that's the result I want. However, Maple evaluates this to zero.
Is there a where to convince Maple to evaluate this to what I want/expect?
Thanks in advance,
When the Physics package is loaded, Maple returns the following error in connection with the simple statement 2*D[1]:
Error, (in TypeTools/ac_var_local) unable to determine the anticommutative character of D[1]
Why that? Although to no avail, for D[1] there is no problem. Note that the above error results even without having set up any anticommutative prefixes or the likes in Physics Setup.
PS: I am using Maple 17.
I thought I'd try the latest version of the physics package. I am trying to look at a "simple" function with quantum operators, Taylor expand it, and write terms in normal order (i.e. Dagger(a) terms before a, and Dagger(b) before b), but am having no luck at all. Not sure if this is possible with the current version.
I am also having a couple of weird "interface issues" after loading the package:1) See the printout from Setup() command - here Dagger(a) and Dagger(b) is sometimes displayed with a bar above the names, but other times (i.e. during other runs) with daggers. 2) Maple gets "stuck" on one of the lines - meaning I press enter, but it does not jump to the next execution block.
Both of these issues are outlined with "NOTE" in the worksheet.
Ultimately, the interface issues are of no concern to me, but I am pretty curious if the current version of the physics package can do what I need?
Worksheet: commutator_stuff.mw
greatings all,
I want to calculate energy momentum tensor for a given metric. is it possible to calculate it in the physics package?thanks.
Below is the worksheet with the whole material presented yesterday in the webinar, "Applying the power of computer algebra to theoretical physics", broadcasted by the "Institute of Physics" (IOP, England). The material was very well received, rated 4.5 out of 5 (around 30 voters among the more than 300 attendants), and generated a lot of feedback. The webinar was recorded so that it is possible to watch it (for free, of course, click the link above, it will ask you for registration, though, that's how IOP works).
Anyway, you can reproduce the presentation with the worksheet below (mw file linked at the end, or the corresponding pdf also linked with all the input lines executed). As usual, to reproduce the input/output you need to have installed the latest version of Physics, available in the Maplesoft R&D Physics webpage.
Why computer algebra?
... and why computer algebra?
We can concentrate more on the ideas instead of on the algebraic manipulations
We can extend results with ease
We can explore the mathematics surrounding a problem
We can share results in a reproducible way
Representation issues that were preventing the use of computer algebra in Physics
Notation and related mathematical methods that were missing:
coordinate free representations for vectors and vectorial differential operators,
covariant tensors distinguished from contravariant tensors,
functional differentiation, relativity differential operators and sum rule for tensor contracted (repeated) indices
Bras, Kets, projectors and all related to Dirac's notation in Quantum Mechanics
Inert representations of operations, mathematical functions, and related typesetting were missing:
inert versus active representations for mathematical operations
ability to move from inert to active representations of computations and viceversa as necessary
hand-like style for entering computations and textbook-like notation for displaying results
Key elements of the computational domain of theoretical physics were missing:
ability to handle products and derivatives involving commutative, anticommutative and noncommutative variables and functions
ability to perform computations taking into account custom-defined algebra rules of different kinds
(commutator, anticommutator and bracket rules, etc.)
The Maple computer algebra environment
Classical Mechanics
Inertia tensor for a triatomic molecule
Classical Field Theory
*The field equations for the model
*Maxwell equations departing from the 4-dimensional Action for Electrodynamics
*The Gross-Pitaevskii field equations for a quantum system of identical particles
Quantum mechanics
*The quantum operator components of satisfy
Quantization of the energy of a particle in a magnetic field
Unitary Operators in Quantum Mechanics
*Eigenvalues of an unitary operator and exponential of Hermitian operators
Properties of unitary operators
Consider two set of kets and , each of them constituting a complete orthonormal basis of the same space.
One can always build an unitary operator that maps one basis to the other, i.e.:
*Verify that implies on
*Show that is unitary
*Show that the matrix elements of in the and basis are equal
Show that and have the same spectrum
Schrödinger equation and unitary transform
Consider a ket that solves the time-dependant Schrödinger equation:
and consider
where is a unitary operator.
Does evolves according a Schrödinger equation
and if yes, which is the expression of ?
Translation operators using Dirac notation
In this section, we focus on the operator
The Action (translation) of the operator on a ket
Action of on an operator
General Relativity
*Exact Solutions to Einstein's Equations
*"Physical Review D" 87, 044053 (2013)
Given the spacetime metric,
a) Compute the Ricci and Weyl scalars
b) Compute the trace of
where is some function of the radial coordinate, is the Ricci tensor, is the covariant derivative operator and is the stress-energy tensor
c) Compute the components of the traceless part of of item b)
d) Compute an exact solution to the nonlinear system of differential equations conformed by the components of obtained in c)
Background: paper from February/2013, "Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories", by P. Fiziev.
a) The Ricci and Weyl scalars
b) The trace of
b) The components of the traceless part of
c) An exact solution for the nonlinear system of differential equations conformed by the components of
*The Equivalence problem between two metrics
From the "What is new in Physics in Maple 2016" page:
In the Maple PDEtools package, you have the mathematical tools - including a complete symmetry approach - to work with the underlying [Einstein's] partial differential equations. [By combining that functionality with the one in the Physics and Physics:-Tetrads package] you can also formulate and, depending on the metrics also resolve, the equivalence problem; that is: to answer whether or not, given two metrics, they can be obtained from each other by a transformation of coordinates, as well as compute the transformation.
Example from: A. Karlhede, "A Review of the Geometrical Equivalence of Metrics in General Relativity", General Relativity and Gravitation, Vol. 12, No. 9, 1980
*Equivalence for Schwarzschild metric (spherical and Krustal coordinates)
Tetrads and Weyl scalars in canonical form
Generally speaking a canonical form is obtained using transformations that leave invariant the tetrad metric in a tetrad system of references, so that theWeyl scalars are fixed as much as possible (conventionally, either equal to 0 or to 1).
Bringing a tetrad in canonical form is a relevant step in the tackling of the equivalence problem between two spacetime metrics. The implementation is as in "General Relativity, an Einstein century survey", edited by S.W. Hawking (Cambridge) and W. Israel (U. Alberta, Canada), specifically Chapter 7 written by S. Chandrasekhar, page 388:
Residual invariance
Petrov type I
Petrov type II
Petrov type III
Petrov type D
remains invariant under rotations of Class III
Petrov type N
remains invariant under rotations of Class II
The transformations (rotations of the tetrad system of references) used are of Class I, II and III as defined in Chandrasekar's chapter - equations (7.79) in page 384, (7.83) and (7.84) in page 385. Transformations of Class I can be performed with the command Physics:-Tetrads:-TransformTetrad using the optional argument nullrotationwithfixedl_, of Class II using nullrotationwithfixedn_ and of Class III by calling TransformTetrad(spatialrotationsm_mb_plan, boostsn_l_plane), so with the two optional arguments simultaneously.
The determination of appropriate transformation parameters to be used in these rotations, as well as the sequence of transformations happens all automatically by using the optional argument, canonicalform of TransformTetrad .
Physics_2016_IOP_webinar.mw Physics_2016_IOP_webinar.pdf
Edgardo S. Cheb-Terrab Physics, Differential Equations and Mathematical Functions, Maplesoft
I am a college student that is aspiring to become a theoretical theorist. I have postulates that are not in mathematical form yet, and I would like to use a program that can help with this process. I am new to the usage of Maple products, and I have questions. Is it possible to use Maple in this way, before getting to the difficult calculus steps? Can MapleSim or Maple Physics, perform simulations, or models of physics calculations?
Thank you,
Formulating and solving the equivalence problem for Schwarzschild metric in a simple case
In connection with the digitizing in Maple 2016 of the database of solutions to Einstein's equations of the book Exact Solutions to Einstein Field Equations. I was recently asked about a statement found in the "What is new in Physics in Maple 2016" page:
This question posed is a reasonable one: "could you please provide one example?" This post provides that example.
First of all the existing science behind: in my opinion, the main reference regarding the equivalence problem is at the paper "A Review of the Geometrical Equivalence of Metrics in General Relativity", General Relativity and Gravitation, Vol. 12, No. 9, 1980, by A. Karlhede (University of Stockholm). This approach got refined later by others and, generally speaking, it is currently know as the Cartan-Karlhede method, summarized in chapter 9.2 of the book Exact Solutions to Einstein Field Equations. whose solutions were all digitized within the Physics and DifferentialGeometry packages for Maple 2016. This method of Chapter 9.2 (see also Tetrads and Weyl scalars in canonical form, Mapleprimes post), however, is not the only approach to the problem, and sometimes simpler methods can handle the problem faster, or just in simpler forms.
The example worked out below is actually the example from Karlhede's paper just mentioned, on pages 704 - 706: "Show that the Schwarzschild metric and its form written in terms of isotropic spherical coordinates are equivalent, and derive the transformation that relates them". Because this problem happens to be simple for nowadays computer algebra, below I also tackle it modified, slightly more difficult variants of it. The approach shown works for more complicated cases as well.
Below we tackle Karlhede's paper-problem using: one PDEtools command, the Physics:-TransformCoordinates, the Physics:-Weyl command to compute the Weyl scalars and the Physics:-Tetrads:-PetrovType to see the Petrov type of the metrics involved. The transformation resolving the equivalence is explicitly derived.
Start loading the Physics and Tetrads package. To reproduce the computations below, as usual, update your Physics library with the one available for download at the Maplesoft R&D Physics webpage
To formulate the problem, set first some symbols to represent the changed metric, changed mass and changed coordinates - no mathematics at this point
Set now a new coordinates system, call it Y, involving the new coordinates (in the paper they are represented with a tilde on top of the letters)
According to eq.(7.6) of the paper, the line element of Schwarzschild solution in isotropic spherical coordinates is given by
Set this to be the metric
Check it out
In connection with the transformation used further below, compute now the Petrov type and the Weyl scalars for this metric, just to have an idea of what is behind this metric.
We see that the Weyl scalars are already in canonical form (see post in Mapleprimes about canonical forms): only and the important thing: it depends on only one coordinate, .
Now: we want to see if this metric (5) is equivalent to Schwarzschild metric in standard spherical coordinates
The equivalence we want to resolve is regarding an arbitrary relationship between the masses used in (5) and (8) and a generic change of variables from X to Y
Using a differential equation mindset, the formulation of the equivalence between (8) and (5) under the transformation (9) is actually simple: change variables in (8), using (9) and the Physics:-TransformCoordinates command (this is the command that changes variables in tensorial expressions), then equate the result to (5), then try to solve the problem for the unknowns , and .
We note at this point, however, that the Weyl scalars for Schwarzschild metric in this standard form (8) are also in canonical form of Petrov type D and also depend on only one variable, r
The fact that the Weyl scalars in both cases ((7) and (11)) are in canonical form (only ) and in both cases this scalar depends on only one coordinate is already an indicator that the transformation involved changes only one variable in terms of the other one. So one could just search for a transformation of the form and resolve the problem instantly. Still, to make the problem slightly more general, consider instead a generic transformation for r in terms of all of
Transform the coordinates in the metric (because of having used PDEtools:-declare, derivatives of the unknowns R are displayed indexed, for compact notation)
Proceed equating (14) to (5) to obtain a set of equations that entirely formulates the problem
This problem, shown in Karlhede's paper as the example of the approach he summarized, is solvable using the differential equation commands of PDEtools (in this case casesplit) in one go and no time, obtaining the same solution shown in the paper with equation number (7.10), the problem actually admits two solutions
By all means this does not mean this differential equation approach is better than the general approach mentioned in the paper (also in section 9.2 of the Exact Solutions book). This presentation above only makes the point of the paragraph mentioned at the beginning of this worksheet "... [in Maple 2016] you can also formulate and, depending on the the metrics also resolve, the equivalence problem; that is: to answer whether or not, given two metrics, they can be obtained from each other by a transformation of coordinates, as well as compute the transformation."
In any case this problem above is rather easy for the computer. Consider a slightly more difficult problem, where . For example:
Tackle now the same problem
The solutions to the equivalence between (17) and (5) are then given by
Moreover, despite that the Weyl scalars suggest that a transformation of only one variable is sufficient to solve the problem, one could also consider a more general transformation, of more variables. Provided we exclude (because there is around and that would take us to solve differential equations for , that involve things like ), and also to speed up matters let's remove the change in , consider an arbitrary change in r and t
So our transformation now involve two arbitrary variables, each one depending on all the four coordinates, and a more complicated function . Change variables (because of having used PDEtools:-declare, derivatives of the unknowns R and are displayed indexed, for compact notation)
Construct the set of Partial Differential Equations to be tackled
Solve the problem running a differential elimination (actually without solving any differential equations): there are more than two solutions
Consider for instance the first one
Compute the actual solution behind this case :
The fact that the time t appears defined in terms of the transformed time involving an arbitrary constant is expected: the time does not enter the metric, it only enters through derivatives of entering the Jacobian of the transformation used to change variables in tensorial expressions (the metric) in (22).
Summary: the approach shown above, based on formulating the problem for the transformation functions of the equivalence and solving for them the differential equations using the commands in PDEtools, after restricting the generality of the transformation functions by looking at the form of the Weyl scalars, works well for other cases too, specially now that, in Maple 2016, the Weyl scalars can be expressed also in canonical form in one go (see previous Mapleprimes post on "Tetrads and Weyl scalars in canonical form"). Also important: in Maple 2016 it is present the functionality necessary to implement the approach of section 9.2 of the Exact solutions book as well.
Download Equivalence_-_Schwarzschild.mw
The material below is about a new development that didn't arrive in time for the launch of Maple 2016 (March) and that complements in a relevant way the ones introduced in Physics in Maple 2016. It is at topic in general relativity, the computation of a canonical form of a tetrad, so that, generally speaking (skipping a technical description) the Weyl scalars are fixed as much as possible (either equal to 0 or to 1) regarding transformations that leave invariant the tetrad metric in a tetrad system of references. Bringing a tetrad in canonical form is a relevant step in the tackling of the equivalence problem between two spacetime metrics (Mapleprimes post), and it is relevant in connection with the digitizing in Maple 2016 of the database of solutions to Einstein's equations of the book Exact Solutions to Einstein Field Equations.
The reference for this development is the book "General Relativity, an Einstein century survey", edited by S.W. Hawking (Cambridge) and W. Israel (U. Alberta, Canada), specifically Chapter 7 written by S. Chandrasekhar, and more specifically exploring what is said in page 388 about the Petrov classification.
A canonical form for the tetrad and Weyl scalars admits alternate forms; the implementation is as implicit in page 388:
The transformations (rotations of the tetrad system of references) used are of Class I, II and III as defined in Chandrasekar's chapter - equations (7.79) in page 384, (7.83) and (7.84) in page 385. Transformations of Class I can be performed with the command Physics:-Tetrads:-TransformTetrad using the optional argument nullrotationwithfixedl_, of Class II using nullrotationwithfixedn_ and of Class III by calling TransformTetrad(spatialrotationsm_mb_plan, boostsn_l_plane), so with the two optional arguments simultaneously.
In this development, a new optional argument, canonicalform got implemented to TransformTetrad so that the whole sequence of three transformations of Classes I, II and III is performed automatically, in one go. Regarding the canonical form of the tetrad, the main idea is that from the change in the Weyl scalars one can derive the parameters entering tetrad transformations that result in a canonical form of the tetrad.
(Note the Tetrads:-PetrovType command, unfinished in the first release of Maple 2016.) To run the following computations you need to update your Physics library to the latest version from the Maplesoft R&D Physics webpage, so with this datestamp or newer:
An Example of Petrov type I
There are six Petrov types: I, II, III, D, N and O. Start with a spacetime metric of Petrov type "I" (the numbers always refer to the equation number in the "Exact solutions to Einstein's field equations" textbook)
The Weyl scalars
... there is abs around. Let's assume everything is positive to simplify formulas, use Capital Physics:-Assume (the lower case assume command redefines the assumed variables, so it is not compatible with Physics, DifferentialGeometry and VectorCalculus among others).
The scalars are now simpler, although still not in "canonical form" because and .
The Petrov type
The call to Tetrads:-TransformTetrad two lines below transforms the current tetrad ,
into another tetrad such that the Weyl scalars are in canonical form, which for Petrov "I" type happens when and .
Despite the fact that the result is a much more complicated tetrad, this is an amazing result in that the resulting Weyl scalars are all fixed (see below). Let's first verify that this is indeed a tetrad, and that now the Weyl scalars are in canonical form
Set (9) to be the tetrad in use and recompute the Weyl scalars
Inded we now have and
So Weyl scalars computed after setting the canonical tetrad (9) to be the tetrad in use are in canonical form. Great! NOTE: computing the canonicalWeyl scalars is not really the difficult part, and within the code, these scalars (11) are computed before arriving at the tetrad (9). What is really difficult (from the point of view of computational complexity and simplifications) is to compute the actual canonical form of the tetrad (9).
An Example of Petrov type II
Consider this other solution to Einstein's equation (again, the numbers in g_[[24,37,7]] always refer to the equation number in the "Exact solutions to Einstein's field equations" textbook)
Check the Petrov type
The starting tetrad
results in Weyl scalars not in canonical form:
For Petrov type "II", the canonical form is as for type "I" but in addition Again let's assume positive, not necessary, but to get simpler formulas around
Compute now a canonical form for the tetrad, to be used instead of (14)
Set this tetrad and check the Weyl scalars again
This result (18) is fantastic. Compare these Weyl scalars with the ones (15) before transforming the tetrad.
An Example of Petrov type III
The Petrov type and the original tetrad
This tetrad results in the following scalars
that are not in canonical form, which for Petrov type III is as in Petrov type II but in addition we should have .
Compute now a canonical form for the tetrad
Set this one to be the tetrad in use and recompute the Weyl scalars
An Example of Petrov type N
The original tetrad and related Weyl scalars are not in canonical form:
For Petrov type "N", the canonical form has and all the other .
Compute a canonical form, set it to be the tetrad in use and recompute the Weyl scalars
All as expected.
An Example of Petrov type D
The default tetrad and related Weyl scalars are not in canonical form, which for Petrov type "D" is with and all the other
Transform the tetrad, set it and recompute the Weyl scalars
Again the expected canonical form of the Weyl scalars, and remains invariant under transformations of Class III.
An Example of Petrov type O
Finally an example of type "O". This corresponds to a conformally flat spacetime, for which the Weyl tensor (and with it all the Weyl scalars) vanishes. So the code just interrupts with "not implemented for conformally flat spactimes of Petrov type O"
The Weyl tensor and its scalars all vanish:
Error, (in Tetrads:-CanonicalForm) canonical form is not implemented for flat or conformally flat spacetimes of Petrov type "O"
Download TetradsAndWeylScalarsInCanonicalForm.mw
Hey all,
I want to symbolically differentiate a function and recalculate the result later. Here is what I have tried so far:
eval(myexp); #actual result
eval(myexp); #expected result
Download physics_diff.mw
I wonder if this is even possible, or if I missunderstand something. Can you please help me?
hello dear,
I was intersted in finding Weyl scalars for a given metric, would be really helpful if anyone can give me an example of how to find a Weyl Scalar for a given metric or set of null tetrads using Debever formalism in Tensor package(more specifically, how to define h in debever formalism for a given set of null tetrad or for a given metric).
if three particles set into 3 energy states ( each values of energy states 0 , e, 2e)
how to calculate P in each configuration by a particle that follows boson and f-b
thank you
Non dimensionalisation is a vary common task, and I was suprised that I couldn't find a maple tool to automate it . Has anyone developed their own package for it?I want to automatically do it to the system equations for some Dynamical systems to make some of the other processing I do with them easier.I was hoping to start with somehting in the form of
where each f[i] is some kind of quotient of multivariate polynomials in the variables and parameters:and end up with something like
where p<n
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I love to cook, I worked as a Sushi chef at Sushi Train, and Sushi Planet for 3 years while doing my bachelors and masters. So yes i know how to carve a fish and make the rolls.
A sucker for learning something completely useless....
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Working, traveling, and enjoying the simple things in life.
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Learning a language. I can speak 5 languages relatively fluently. (useful when I get lost traveling)
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Current day books I'm a big fan of (Again by Author)
Terry Pratchett, (devastated that he passed, R.I.P)
Suzanne Collins,
Robert Jordan (Wheel of time series)
Robbin Hobb's (Farseer Trilogy: My ultimate favourite)
Also how can i forget the book that brought me to love fantasy J.R.R Tolkien himself, the LoTR trilogy, and the Hobbit.
G.R.R Martin (The song of ice and fire books), J.K Rowling for bringing magic to my childhood.
Christopher Paolini's books. I never loved dragons so much until his works.
Adelaide Born Sean Williams! Any of his Star Wars novels.
I am not much of a law and legal reader but John Grisham is someone slowly appearing on my bookshelf. His Theodore Boone books are one heck of a thriller!!! Speaking of thrillers, Dan Browns "digital fortress" was an interesting read.
Dislikes: Murakami, Jeffrey Archer........ (sue me)
Favourite Shows: The Big Bang theory, Fire Fly, How i met your mother, Elementary, The Arrow, Breaking Bad, The Flash, Sherlock, The walking dead, Gotham.
Favourite food:
You have never tasted good broth until you have had a bowl of Malaysian Bak Kut Teh! Tacos, Falafel, Curry (all types), Rice noodles and Egg noodles, Cha Siew Pao WELL the list goes on if you want to know ASK!!
A game of any sort
A pet animal
Music of any kind
Mountains/hills/treks (semantics)
Errr...Maslow's hierarchy of needs
Egalitarianism (go ahead...ask yourself, are you really fair to everyone and what does it mean to be fair)
Why do people subconsciously choose someone based on the colour of their skin and often associate said person of colour with a negative POV. Yes I am Indian by birth but I certainly do not act like the majority of them. I am sure people of "favoured" colour act in the same balance of bad and good kinds just as everyone else.
Anything random... I don't have anything else that Prominently comes into mind..........on that note what's for dinner?
I am open to suggestions. Just not a club thanks
I am on a dating website, trying to find someone for something long-lasting. Sceptical to say the least.
If you don't mind my skin tone and appreciates intelligent speech.


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joe jack honey bar x two eyed red buck cross, will ride nice and make a great broodmareSOLD
a nice roan colt, his sire is barney bartender an own son of two id bartender, and the dam is by two eyed red buck, he has good bone and hoof, possible…SOLD
Buck sires colts with color,size, muscle, correct legs with alot of cow sense, 5.00 a day mare care. Buck is being offered for saleSOLD
the sire of filly is a son of joe jack honey bar and the dam is by two eyed red buck, should mature to 15 handsSOLD
13 year old gelding, Broke to drive single and double. Previous owner rode him English. I have ridden him Western on trail rides. One of which was on…SOLD
Palomino yearling mule, show quality and has excellant confirmation. He has a weanling full brother to match if interested in a pair. Sire is 1st Choice…SOLD
Gentle, halter broke, email/call for more info, pics, & pedigree, Thanks.SOLD
Roxy is a 5 yr old grade paint mare. Her sire was a sorrel horse that goes back to Sonny Dee Bar and Mr. World on the topside. Her dam was 1/2 paint pony…SOLD


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Copyright 2016 Favianna Rodriguez, Favianna.com
It is our sincere pleasure to invite you to this year's Midwest Regional Conference. Join us,Friday, October 7, 2016 – Sunday, October 9, 2016 for a weekend full of human rights learning, networking and growth in the great city of Detroit, MI. The conference will bring together hundreds of Amnesty members and other human rights activists from around the region. With our Regional Conference Planning Committee and Regional Office as co-hosts, together we will continue our tradition of engaging in networking opportunities, inspiring plenaries, outstanding keynotes, and hands-on skill-building workshops as well as shaping the policies of the organization.
Through interactive programs and workshops, exceptional speakers and engaging exhibits, the Regional Conference will facilitate discussions about human rights issues in the United States and around the world and motivate us to take action. As activists, we will be challenged to initiate change within our own communities. This will only happen with you - we need you there!
Don't forget to follow us on Twitter at @Amnestymwro.
Dates: Friday, October 7, 2016 – Sunday, October 9, 2016
Location: Detroit, MI
DoubleTree by Hilton Hotel Detroit – Dearborn
5801 Southfield Expressway, Detroit, MI 48228(map)
Reserve your room online at the special group rate of $119. You can also call the hotel directly at 1-313-336-3340 and mention "Amnesty International USA." The group rate will expire on September 21st, or sooner if all rooms are filled. Space is limited so book your room today!
AIUSA members and staff are encouraged to create and organize sessions that will grow the movement, inspire, and lead to positive change. Sessions will help create a diverse and inclusive agenda for the 2016 Regional Conferences, while helping to shape the regional dialogue for human rights activists. Our goal is to highlight the human rights work we are doing locally, nationally, and globally while elevating activism in our host city of each regional conference. Sessions will be selected and approved by the Regional Planning Committees made up of member leaders in each region, in consultation with staff. Members and staff are encouraged to collaborate on proposals.
The RFP process is being hosted on the Activist Resource Community (ARC): http://arc.amnestyusa.org/l/li/in/. All submissions must be received by July 15th.
Submit a resolution by September 1, 2016 (student deadline: September 15, 2016)
One of the exciting things about Amnesty International is that, as a grassroots membership organization, members have a voice in what Amnesty does. Resolutions are the means by which members of AIUSA have the power to affect policy decision-making at the regional, national and international levels. This is your chance to exercise your democratic right as a member of AIUSA.
It's easy to submit a resolution! You provide the idea, and we'll help you put it in the proper format. Please contact the National Resolutions Committee at firstname.lastname@example.com if you have questions or would like more information about how to submit a resolution. You can also contact the NRC chair, Tom Benner, at email@example.com, or 317-908-3181, with any questions.
The resolutions submission form will be available for download on this page soon.
If you (or a member of your group) are 17 years of age or younger, AIUSA requires that this waiver agreement be completed by a legal guardian and that a chaperone accompany you for the entire duration of the conference. AIUSA does not assume responsibility for minors.
Registration coming soon, please check back frequently for updates.


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Royden Subdivision - Charlotte, North Carolina
If you're looking for homes for sale in Royden, Charlotte, NC and surrounding North Carolina subdivisions, then we can help.
From January 1, 2014 through the present, 17 homes have sold in the Royden subdivision in Charlotte via the MLS for an average price of $847,450.
Houses in Royden Subdivision (28226)
MLS 3196187 Built: 1994
Sq Ft: 6,300
Bed: 5 Bath: 4/1 Subdivision: Royden
Keller Williams South Park
MLS 3192258 Built: 1986
Sq Ft: 3,963
Bed: 4 Bath: 3/2 Subdivision: Royden
CottinghamChalkHayes, REALTORS
MLS 3166153 Built: 1987
Sq Ft: 8,254
Bed: 5 Bath: 4/3 Subdivision: Royden
Premier Sothebys International
|Price drop on 07-12-16
MLS 3185586 Built: 1988
Sq Ft: 4,796
Bed: 4 Bath: 3/2 Subdivision: Royden
Keller Williams Ballantyne Area
MLS 3140486 Built: 1994
Sq Ft: 4,305
Bed: 4 Bath: 3/1 Subdivision: Royden
The Lars Group
|Price drop on 05-04-16
MLS 3189380 Built: 1986
Sq Ft: 4,590
Bed: 5 Bath: 4/1 Subdivision: Royden
RE/MAX Metro Realty
|Displaying 6 of 6 Listings in Royden subdivision
Get automated emails for new single-family home listings and price changes in Royden - as soon as they're updated!
We can provide you with rebates of up to 1.5% on homes for sale in this and other neighborhoods in Charlotte, NC, and Mecklenburg county. With our assistance, you can save thousands on the next home or other real estate you purchase. And we can provide the professional buyer's agency representation that you expect.
Other subdivisions nearby include:
- Bailewick
- Ballantyne Meadows
- Belingrath
- Carmel Park
- Carmel Station
- Cheshunt
- Courance
- Dovewood
- Five Knolls Estates
- Hamilton Green
- Miranda
- Oakdale
- Park South Station
- Planters Walk
- Providence Court
- Radbourne
- Shady Knoll
- The Crossings
- The Settlements at Withrow Downs
- Town and Country
- Tuckaway Park
- Tufton Brae
- Valleybrook
- Waverly Hall
- Wilton Wood
- Yorkshire
If you're looking for information on Royden foreclosures or short sales in Charlotte, NC MLS listings, then we suggest you give us a call. We can save you thousands of dollars on your purchase in Mecklenburg County or the 28226 area code. Also, we can provide assistance to buyers or sellers of for-sale-by owner homes in Royden (a.k.a. FSBO houses).
Currently there are 6 homes for sale in Royden subdivision in Charlotte, NC on this site - with an average asking price of $1,004,400. Builders whose homes you're likely to come across when considering Royden real estate include: Jas-Am Group, Joel Carriker Construction
The historical information on this page is based on information on single family homes sold in Royden subdivisions of Charlotte, NC via the Carolina Multiple Listing Services, Inc. for the period January 1, 2014 through the present.
With the service we got from Terra Vista it is hard to imagine how anyone else would provide a better service. We worked with Lyn and were happy every step of the way.
-Jeevaka D.
The data relating to real estate on this website derive in part from the CMLS/Internet Data Exchange program. Brokers make an effort to deliver accurate information, but buyers should independently verify any information on which they will rely in a transaction. All properties are subject to prior sale, change or withdrawal. Neither View Carolina Homes nor any listing broker shall be responsible for any typographical errors, misinformation, or misprints, and they shall be held totally harmless from any damages arising from reliance upon this data. This data is provided exclusively for consumers' personal, non-commercial use and may not be used for any purpose other than to identify prospective properties they may be interested in purchasing. © 2016 CMLS and its constituent multiple listing services.
Data last updated on 07/25/2016


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Women's and Gender Studies
Rowan hosts Attracting Women into Engineering for middle school girls | More
"My Little Hundred Million": Best-selling author's podcast celebrates Henry Rowan, explores higher ed philanthropy | More
Rowan student journalists to cover Democratic National Convention | More
Rowan's Online Construction Management degree cited as a "best value" | More
Rowan Engineering welcomes BEST young men | More
Who we are.
The Women's and Gender Studies program at Rowan University is an interdisciplinary, global educational movement that is transforming what we know and think about women and gender in the complex contexts of culture and society. Founded in 1974, the Women's and Gender Studies program at Rowan is one of the oldest in the nation, consisting of dozens of courses and offering an 18 credit interdisciplinary concentration. The program examines the status, perspectives, and contributions of women and the interaction between gender and other social identities. Both classroom-based and public educational activities are designed to broaden understanding of gender and diversity issues in education, in institutional culture, and in society at large.
Office hours: Tuesdays 12 to 3, or by appointment.
The Women's and Gender Studies Office is located in Robinson Hall, first floor, in the Liberal Arts & Sciences Suite - across from room 100.
DID YOU KNOW? October Highlights and Birthdays in Women's History (.docx)
Like and follow us on our Facebook page -


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Lynn Haven Tom P Haney
Colorado State University - Global Campus
Serving the Lynn Haven area.
1.Tom P Haney Technical School
3016 Highway 77, Panama City, FL4.99 mi Industrial, Technical & Trade Schools, Colleges & Universities, Beauty Schools, Schools, Business & Vocational Schools, Adult Education
2.Tom P Haney Technical Center
Panama City, FL5.23 mi Industrial, Technical & Trade Schools
3.McConnaughhay, Duffy, Coonrod, Pope, Weaver, Stern & Thomas P.A.
1022 W 23rd St, Panama City, FL4.15 mi Attorneys, Labor & Employment Law Attorneys, Employee Benefits & Worker Compensation Attorneys
4.Hermann, Thomas R, MD
625 W Baldwin Rd Ste B, Panama City, FL3.14 mi Physicians & Surgeons, Physicians & Surgeons, Surgery-General, Physicians & Surgeons, Pediatrics
5.Brooks III, G Thomas, CPA
2583 Huntcliff Ln, Panama City, FL3.62 mi Accountants-Certified Public, Accounting Services
6.Derbes, Thomas J, MD
2609 Briarcliff Rd, Panama City, FL3.59 mi Physicians & Surgeons, Physicians & Surgeons, Surgery-General
7.Thomas Attorney Hutton At Law
213 Harrison Ave, Panama City, FL6.32 mi Attorneys, Credit & Debt Counseling, Foreclosure Services, Bankruptcy Services, Bankruptcy Law Attorneys
Seems like we hit a network glitch.


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Synonyms of stock in English:
1 the store carries little stock
merchandise, goods, wares, items/articles for sale, inventory
2 a stock of fuel
store, supply, stockpile, reserve, hoard, cache, bank, accumulation, quantity, collection
4 (stocks) blue-chip stocks
shares, securities, equities, bonds
5 her stock is low with most voters
popularity, favor, regard, estimation, standing, status, reputation, name, prestige
adjectiveBack to top
2 the stock response
usual, routine, predictable, set, standard, staple, customary, familiar, conventional, traditional, stereotyped, clichéd, hackneyed, unoriginal, formulaic
[Antonyms] original, unusual
verbBack to top
in stock
- what brands of dog food do you have in stock?for/on sale, (immediately) available, on the shelf
stock up on/with
- people are stocking up on batteries and wateramass supplies of, stockpile, hoard, cache, lay in, buy up/in, put away/by, put/set aside, collect, accumulate, saveinformal squirrel away, salt away, stash away
Definition of stock in:
What do you find interesting about this word or phrase?
Comments that don't adhere to our Community Guidelines may be moderated or removed.
= trending


text:
Time after time, the government has made a federal case about encryption, saying security concerns require access to everyone's electronics. We expose their tries and lies.
Clinton's State Dept. Disabled Server Security, Risked National SecurityWritten by C. Mitchell Shaw
Recently released e-mails show that Hillary Clinton's decision to use her own e-mail server directly threatened national security. During a period of multiple weeks in 2010, technical problems with Clinton's server — and her unwillingness to stop using it — led to State Department IT staff disabling security features on government computer systems.
It is now nearly certain that Hillary Clinton will be announced as the Democratic nominee at the convention in July. But how has she managed to gain the nomination with a campaign and a career steeped in scandal? The short answer appears to be that Hillary has friends in high-tech places.
Over the past few months, Microsoft has maintained a course that continues to anger and alienate users. Having converted the Windows operating system into a suite of spyware tools designed to harvest users' data through recommended updates that it has forced on users, the Redmond giant has given many of those users reason to abandon Windows for another operating system. As Windows continues to lose users, Microsoft — rather than adjust course —has instead ramped up the very tactics that angered users in the first place.


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Tracks missing when browsing via "Artist"
Ask iLounge offers readers the opportunity to get answers to their iPod-, iPhone-, iPad-, iTunes-, or Apple TV-related questions from a member of the iLounge editorial team. We'll answer several questions here each week, and of course, you can always get help with more immediate concerns from the iLounge Discussion Forums. Submit your questions for consideration using our Ask iLounge Submit Form. We reserve the right to edit questions for grammar, spelling, and length.
Q: Some artist names are not showing up on my iPod even though associated songs are there. This has happened for music imported from CD as well as music purchased on iTunes. The problem this creates is that I can't sort music for these artists on the iPod. What can I do to fix the problem?
- Scott
A: If the songs have actually been successfully transferred to the iPod (if they are visible in the iPod's "Songs" menu), then the only explanation we're aware of for them being absent from the "Artists" menu has two parts:
1) The songs are tagged as being "Part of a Compilation"
2) The iPod's "Compilations" setting, found in "Settings → Compilations," is set to "On."
One quick way to verify this is to browse on the iPod to "Music → Compilations." If this is the problem, you'll find your missing songs, grouped by album, in this menu.
There are two ways to fix this problem. If you don't plan on using the feature, you can turn off the iPod's "Compilations" display entirely using the appropriate "Settings" option. Or, if you do, you can tag the affected tracks using iTunes' "Get Info" window to remove the "Part of compilation" flag from each of them.
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Home computer crashed and I did not backup my itunes how can i transfer my 5000 songs from my ipod onto my new computer?? Please help!!!
Posted by skeve in TX on June 22, 2006 at 9:26 PM (CDT)
Is there a device such as the italk (where you could record voice) for the video ipod?
Posted by cherokee in TX on June 23, 2006 at 4:21 PM (CDT)
To get a bunch of music off my itunes, I opted to put it all in a playlist so I could burn CDs, thus allowing me to transfer it back at a later date. When I burned a total of 5 CDs, the first four did not identify any track information (other than a number) whereas the fifth CD had the proper information. What happened and what do I need to do?
Posted by Denise in TX on June 25, 2006 at 1:34 AM (CDT)
I have a 2GB iPod. I played it through my car speakers with a Maxell Cassette Adapter, it was playing fine and then it stopped. I looked at the iPod and it said that it was in disk mode and the battery image in the upper right hand corner was black. There is a check mark in the middle of the screen, and ok to disconnect under the check mark. It will not turn off, or respond when I jog the hold switch off and on, and hold down the menu and on buttons at the same time for six seconds.
What can I do to get it back to the play mode.
Tim P
Posted by Tim P in TX on September 22, 2006 at 8:43 PM (CDT)
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- Opinion: Why Apple needs a dedicated HomeKit app


text:
logo design
This project was awarded to faizigenius for $30 USD.Get free quotes for a project like this
Awarded to:
Skills Required
Project Budget$30 - $250 USD
Total Bids17
Project Description
opening a cell phone store would like a high quality logo made must include global and cell phones need asap and need in high quality also looking for flyer design but need my logo done 1st
Looking to make some money?
- Set your budget and the timeframe
- Outline your proposal
- Get paid for your work
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text:
Think my $10G suddenly became $3G or $4G , so bang was suddenly down huge, so what price would we need to break even? 20? 30?
I gather i"m not the only one that got burned by what I had thought was a safe dividend paying REIT five or so years ago.
the break even iwould be around $22-23 but I am not sure if you re-invested divends it could be a bit lower
I had $20,000 and I am under water about $3,800 as of 6/27/13
I bought INLW (RPAI) in 2004 @$10.00. After all the name changing and other tom foolery, I now have to sell for $25.00, my break even.
yes that makes sense, so 25 it is, ok, headed in the right direction anyway. I actually bought some more at 12 to average down


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Maritime Today
The Maritime Industry's original and most viewed E-News Service
The bodies of 21 women and one man were brought ashore to Sicily on Friday as fellow migrants described scenes of panic and violence when water poured into their dinghy.
Keppel Offshore & Marine Ltd (Keppel O&M)'s wholly owned subsidiary Keppel Singmarine Pte Ltd (Keppel Singmarine) has secured contracts from Jan De Nul Group to
Seacat Freedom, the latest addition to Seacat Services' 12-strong fleet, has been dispatched to DONG Energy's Race Bank offshore wind project following the boat's
The global orderbook has continued to decline in the year to date, indicating that there are diminishing levels of activity at many of the world's shipyards, says Clarksons Research.
The situation of the shipyards in the world and in particular the struggles of the Korean shipbuilding industry has received a fair amount of attention in the shipping press,
Down the years, shipbuilders have always entered and exited the business as cycles have progressed, but over the past decade developments have been dramatic, says Clarksons Research.


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Search Results For "Einsturzende Neubauten"
Einsturzende Neubauten - Blume English Version
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JC Academy's 2016 Summer Activity CampToday
Offering a varied programme of exciting activities, JC Academy is the perfect place for kids to go over the summer!
Pick your own Strawberries at Manor Farm FruitsToday
Wimbledon begins later in the month so it must be time for strawberries!
Illusion StreetCheer ClassesToday
For just £1 a go, join in Illusion Streetcheer classes!
Finding Dory Family Swim SessionsToday
This summer, prepare for an ocean of fun at the Friary Grange Leisure Centre!
TGI Thursday at 3 Horseshoes BartonToday
TGI Thursday meal Offer at the 3 Horseshoes Barton
The Hired ManToday
The Lichfield Garrick presents its first Community Musical!
Free Boxing SessionsToday
Free boxing sessions are available in Lichfield for teens.
29 July Rock'n'Roll NightToday
If you want a great Rock'n'Roll Night Out on 29 July then come along!
Saturdays at Burntwood Spark - Boney Hay30/07/2016
Teach your toddlers the wonders of music whilst developing their skills
Calm Birth Class30/07/2016
Expecting a baby or know someone who is? Would you like a calm birth?