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Dr. Richard Tapia Receives National Medal of Science
Richard Tapia Rice University University Professor Maxfield-Oshman Professor in Engineering SIAM Annual Meeting Minneapolis, Minnesota July 11, 2012 2 The Isoperimetric Problem Revisited: Extracting a Short Proof of Sufficiency from Euler's 1744 Proof of Necessity
Dedicated to Peter Lax in Recognition of his Numerous Mathematical Contributions 3
This talk and a paper with the same title, written in support of this talk, can be found on my website http://www.caam.rice.edu/~rat/ http://www.caam.rice.edu/~rat/ Just Google Richard Tapia 4
Optimization: The Cradle of Contemporary Mathematics Optimization problems are relatively easy to understand when compared with problems in many other branches of mathematics. Controversy invariably leads to interest. Hence, important optimization problems embedded in some controversy have played major roles in motivating and promoting mathematical activity. Mathematical, indeed scientific, activity can be motivated by many factors, and not all are removed from human emotion, as some might have us believe. 5
Talk Objectives Promote the belief that the isoperimetric problem has been the most impactful mathematics problem in history Give a brief historical development of the isoperimetric problem and its solution. Demonstrate that Euler's 1744 necessity proof is but an observation away from establishing a sufficiency proof that we believe to be the shortest, the most elementary, and the most teachable proof in history of the isoperimetric problem. 6
Talk Objectives Contrast our proof with the currently accepted most elementary proof, that given by Peter Lax in 1995. Argue that the process of solving the isoperimetric problem was greatly compromised by the fact that mathematicians of the golden era 1630 – 1890 did not pursue functional convexity, it was a 20 th century construct. 7
Outline I.The isoperimetric problem, its origins and promotion. II.Proofs: Zenodorus, Euler, Steiner, Weierstrass, Carathéodory, and Hurwitz. III.Lax's short proof. IV.Our short proofs. V.Mysteries from the Golden Era. VI.Meet the players: Fermat, Euler, Lagrange, Steiner, and Weierstrass 8
The Isoperimetric Problem 9
Queen Dido and the Isoperimetric Problem The Aeneid: written by Virgil in period 29-19 BC Dido – Life in danger flees her homeland with wealth and entourage Finds new land and bargains with local king for a piece of land that she can mark out with the hide of a bull The Dido trick: cut hide into as many thin strips as possible to form a long cord, using the seashore as one edge, lay out the cord in the form of a semi- circle. 10
Dido Purchases Land for the Foundation of Carthage. Engraving by Matth¨aus Merian the Elder, in Historiche Chronica, Frankfurt a.M., 1630. Dido's people cut the hide of an ox into thin strips and try to enclose a maximal domain. 11
Application of the Dido Maximum Priciple Medieval map of Cologne 12
Yet Another Application of the Dido Maximum Principle Medieval map of Paris 13
The Early Greeks Zenodorus (Greek mathematician who lived 200-120 BC) Wrote work entitled On Isometric Figures Work lost, but referenced by Pappus and Theon 300 years later Studied figures with equal perimeters and different shapes Proved The circle has a greater area than the regular polygon on the same perimeter Of two regular polygons of the same perimeter, the one with the greater number of angles has the greatest area Stated as scolia In 2-D the circle solves the Isoperimetric Problem In 3- D the sphere solves the Isoperimetric Problem Can not demonstrate that he gave an incorrect or incomplete proof as many historians believe 14 II
Euler (1744) 15 II
Euler (1744) Goldstine states: It is interesting that Euler did not completely understand the fact that his condition[satisfaction of the Euler-Lagrange equation] is a necessary but not a sufficient one. In his discussion it is clear that he felt his condition was sufficient to ensure an extremum, and that by evaluating the integral along an extremal [and one other curve] he could decide whether it was s a maximum or a minimum. 16 II
Euler General Isoperimetric Problem 17 II
Queen Dido form of the Isoperimetric Problem 18
19 Euler's 1744 Proof of Necessity as Sufficiency
Steiner (1838) Jakob Steiner (1796 -1867 AD) was one of the most brilliant and creative geometers in history. His mathematical inquiries were confined to geometry to the total exclusion of analysis. In fact he hated analysis and doubted if anything that could not be proved with geometry could be proved with analysis. In 1838 Steiner gave the first of his five equivalent proofs that the circle solved the isoperimetric problem. His proofs used synthetic geometry and were mathematically quite elegant. Mathematical historians embrace and promote his proofs and call them models of mathematical ingenuity. They became very visible in the mathematical community. Steiner boasted that he had done with geometry what had not been done, 20 II
Steiner (1838) and could not be done, with analysis, i.e., solve the isoperimetric problem. What Steiner proved was that any curve which was not the circle could be modified using a geometric procedure now called Steiner Symmetrization to obtain a curve with the same perimeter but a larger area. He then concluded that as a consequence the circle must be the solution to the isoperimetric problem. As such he fell into the use of necessity as sufficiency trap and made the trap rather infamous. The analysts of the time, led by Peter Dirichlet, pointed out to Steiner that his proof is not valid unless he assumes that the isoperimetric problem has a solution, i.e. existence. Steiner did not accept the criticism well, and rebutted with a very 21 II
Steiner (1838) superficial argument that he claimed demonstrated that the isoperimetric problem must have a solution. Actually, at best he demonstrated that existence of an upper bond for the area functional. Now analysts observed that if the Steiner symmetrization process could be applied repeatedly creating a sequence of curves with the same perimeter but increasing area that converges to the area of the circle, the so-called process of completing Steiner's proof, then the flaw in Steiner's proof would be removed. 22 II
The Steiner 3 Step Proof Step1 The curve must be convex: 23 Step2 Perimeter bisector divides the curve into equal areas and we can therefore symmetrize across the bisector
Preliminary Results from Geometry needed to complete Steiner's Proof Lemma 1 (Thales Theorem 600 BC) If AC is a diameter, than the angle at B is a right angle. 24 Lemma 2 (Converse to Thales Theorem) A right triangle's hypotenuse is a diameter of its circumcircle. Lemma 3 Of all possible triangles with two sides of specified lengths the triangle of maximum area is the right triangle.
The Steiner 3 Step Proof continued "STEINER SYMMETRIZATION" Step 3 All inscribed angles determined by the perimeter bisector must be right angles. 25
Weierstrass (1879) Concerning the solution of the isoperimetric problem, Weierstrass was quite aware of the shortcomings of Steiner's proof and somewhat bothered by Steiner's arrogantly promoted negative view of analysis and analysts. Hence he boldly and proudly placed himself in the noble role of defender of analysis and vowed to solve the isoperimetric problem using analysis. He introduces his work with the following statements concerning the solution of the isoperimetric problem: 26 II
Weierstrass (1879) "A detailed discussion of this problem is desirable, since Steiner was of the opinion that the methods of the calculus of variations were not sufficient to give a complete proof, but the calculus of variations is in a position to prove all this, as we will show later; furthermore it can show what Steiner could not – that such a maximum really exists." 27 II
Weierstrass (1879) Weierstrass first builds an elegant and sophisticated sufficiency theory for the simplest problem from the calculus of variations employing such subtle notions as Jacobi's notion of conjugate points and his own notion of fields of extremals. He then extends this sufficiency theory to the isoperimetric problem by turning to Euler's multiplier rule and applying his sufficiency theory to the Euler's auxiliary problem. Using this theory he demonstrates that Euler's auxiliary problem for the isoperimetric problem has the circle as solution; hence the isoperimetric problem has the circle as solution. So, according to the literature, some 135 years after 28 II
Weierstrass (1879) Euler's proof of necessity we have the first sufficiency proof. While this notable work gave the world its first sufficiency proof for the isoperimetric problem, we expect to convince the audience that Weierstrass really used a sludge hammer to pound a nail. His sophisticated sufficiency theory is not needed to merely demonstrate that the circle solves Euler's auxiliary problem. 29 II
II Interesting Post – Weierstrass Proof Carathéodory's (1910) completion of Steiner's Proof. 30
II Interesting Post – Weierstrass Proof Hurwitz (student of Weierstrass) 1902 proof using Fourier series. 32
"A Competition for the World's Most Elementary Solution of the Isoperimetric Problem" 37
Pedro Lax y Ricardo Tapia "Mano a Mano" 38
The Winner! 43
Now on to more serious things like Mathematical Proofs 44
45 A Short Proof of Sufficiency Given by Peter Lax (1995) III
48 IV Our Short Proof of Sufficiency Motivated by Euler
Question: Could Euler have made our observation at the time of his 1744 writing? The foundation of our observation is Taylor's theorem with remainder. The literature tells us that Taylor published his theorem in 1715. So Euler most likely was aware of Taylor's theorem in 1744. However, the rub is that Taylor's theorem with remainder was not known at that time. It is somewhat ironic that the form of the remainder that we used in our proof is credited to Lagrange in 1797, and is actually referred to today as the Lagrange form of the remainder. So Euler would not have been in good position to make our observation. 50
51 IV Our Short Proof of Sufficiency Motivated by Lagrange
Remark Lagrange could have made this proof because he was familiar with the form of Taylor's theorem that we used, indeed it is due to him. While this hypothesized proof would have been made 50 years after Euler, it would still have been some 80 years before Weierstrass. 53
Mysteries from the Golden Era (1630-1890) Euler thinking that all extremals were either minimizers or maximizers. The use of necessity as sufficiency Lagrange not attempting to solve the isoperimetric problem 54
The Greatest Mystery from the Golden Era The failure to develop functional convexity and consequently the powerful optimization sufficiency theory that follows Historical Development of Convexity Archimedes (287 BC – 212 BC) On the Sphere and the Cylinder A convex arc is a plane curve which lies on side of the line joining its end points and all cords of which lie on the same side. Fenchel's Explanation for the failure to develop functional convexity When in the seventeenth century Archimedes methods were taken up again, convexity played still a role, for instance in the work Fermat. But the development of the calculus let them recede to the background and even be forgotten. 55
Golden Era Uses of Convex Arc (Not Convex Function) Fermat 1630 Steiner 1838 Cauchy 1850 Minkowski (1910) in his book initiates the field of convex geometry and promotes the role of convexity in mathematics. 56
Introduction of Convexity First Definition of A convex function (on interval of reals) – Jensen (1905) A general convex set – Steinitz (1913) Use of convexity in optimization followed linear programing contributions from 1940's Why so late? 57
58 The Use of Convexity in Optimization Theory Today
59 The Use of Convexity in Optimization Theory Today
Convexity Observations The isoperimetric problem is not a convex program But its Euler Multiplier Rule formulation is a convex program. The iso-area program is a convex program. For purposes of illustration lets follow this path. 60
Conclusions Isoperimetric problem is history's most impactful mathematical problem Our short proof is most elementary and most teachable. Effective solution of the isoperimetric problem was seriously delayed because the great minds of the Golden Era (1960- 1890) did not develop functional convexity. 64
Lets meet the players (in order of performance) 65
A Snapshot of Fermat "The Prince of Amatuers" Lived 1601–1665 Born and educated and functioned as a lawyer and legal o ffi cial in Toulouse, France Did mathematics for recreation and considered it a hobby. He dabbled and rarely produced proofs. As such he was sloppy and chose not to include detail or polish his work. Much of his work required "a fill in the blanks" activity as is characterized by his last theorem. He did not publish and communicated his work in the form of letters to important people. Directly and naively engaged in controversy with prominent mathematicians of the times and in particular with the powerful Descartes. 66
Conceived and applied the di ff erential calculus in a 1628 unpublished work entitled Minima and Maxima and the tangent to a curve. Note that this was 15 years before Newton was born and 18 years before Leibniz was born. Ten years later in 1638 he made his work semi-public in a letter to Descartes. The work stepped strongly on the toes of work that Descartes was doing on tangents to curves. When asked for an o ffi cial evaluation of Descartes work he wrote "he is groping around, in the shadows." Descartes responded with the public statement "Fermat is inadequate as a mathematician and as a thinker." This damaged Fermat's reputation. In prominent competition between Descartes and Fermat on the notion of a tangent to a curve, Fermat won and Descartes lost. After the dust settles Descartes writes to Fermat "your work on tangents is very good, if you had explained it well from the onset, I would not have had to criticize it or you." 67
Fermat had little to no interest in physical applications of mathematics, he just loved the math. This is in strong contrast to Newton who did the mathematics for his love of physical applications. Even his notation and terminology showed this. 68
A snapshot of Euler Born in Switzerland in 1707. Died in Russia in 1783 at the age of 76 Clearly the most prolific mathematician the world has ever known. Laplace -"Read Euler, read Euler, he is the master of us all." Very fond of children. He had 13, but 8 died at early ages. He could work anywhere, under any conditions. It is said that he once wrote a math paper in the 30 minutes before dinner with one child on his lap and others running around his chair. Phenomenal memory and mental calculation power. He memorized the entire Aeneid. 69
Had sight problems his entire life. Was blind the last 17 years of his life. These years were very productive. During this time period he developed the lunar theory, something that escaped Newton. All the necessary analysis and calculation was done in his head. Very supportive of other mathematicians, especially the young Lagrange. He dropped his multiplier theory in favor of that of Lagrange and he called it Lagrange Multiplier Theory He was a devout Christian and argued with the prominent atheists of the time. Since Euler knew no philosophy, Voltaire tied him into metaphysical knots and made great fun of him in Fredericks Court. Euler himself laughed when others laughed at him 70
A snapshot of Lagrange Born in Italy to wealthy parents in 1736. Died in France in 1813 at the age of 77. Quite precocious and at the age of 23 he was considered one of the greatest mathematicians of the time including Euler and the Bernoullis. During his early years, his parents lost their wealth, In later years Lagrange said that this was good for him, "If I had inherited a fortune, I would not have cast my lot with mathematics." Generously appreciative of the work of others, and dissatisfied with his own. Considered his early work on the calculus of variations performed at the age of 19 his best. 71
Befriended Napolean Married for social convenience, but grew very fond of his wife. Around the age of 50 he had become quite disillusioned with mathematics. At 51 his wife died. He became depressed and did nothing for 5 years. At age 56 he married the 17 year old daughter of a colleague. His excitement for math returned and very productive years followed. She rescued him from his twilight between life and death. Honors were showered on him by the French. Concerning these awards he said my greatest trophy is having found such a tender and devoted companion as my young wife. Here he probably coined the phrase "trophy wife." 72
A snapshot of Steiner (1796 – 1863) Born and raised on a farm in Bern Switzerland. He was extremely poor, did not go to school and did not learn to read or write until the age of 14. At the age of 22 Steiner took classes in mathematics at the University of Heidelberg. He supported himself by tutoring in mathematics. At the age of 26 he decided to move to the more prestigious University, The University of Berlin. There he befriended Abel, Jacob, and Crelle of Crelle's Journal. Leaving the University two years later, Steiner found a post at a Berlin technical school and spent the next 10 years teaching mathematics there. He taught basic concepts to the young students and the working atmosphere was not good he wrote and published many significant paper, mostly in Crelle's Journal. He became the world leader in projective geometry. 73
At the age of 37 he was awarded an honorary doctorate by the University of Königsberg on the recommendation of Jacobi At age of 38 he was elected to the Prussian Academy of Sciences, again on the recommendation of Jacobi and other leading mathematicians. At the the age of 38 he was appointed to a new extraordinary professorship of geometry at the university of Berlin, again on the recommendation of Jacobi and other. Steiner remained an extraordinary professor at the university until his death 29 years later. He never married, but dedicated much of his adult life to his students. A blunt and somewhat coarse manner combined with surprisingly liberal social attitudes made Steiner a unique individual, particularly to students. He influenced many of his students, including the noted mathematician Georg Friedrich Bernhard Riemann. 74
A Snapshot of Weierstrass Born in Germany in 1815 Died in Germany in 1897 at the age of 82 Excelled in High school despite having to work part time as a bookkeeper At the age of 19 his father sent him to university of Bonn to study commerce and law. He did not attempt either, he devoted his time to fencing, drinking beer, and studying math on his own. After 4 years he returned home without a degree At age 26 started teaching high school 75
At the age of 38, as a high school teacher, he wrote a paper on Abelian functions that created a sensation. At the age of 41 he was awarded an assistant professorship at the University of Berlin where he became an outstanding lecturer, teacher, and mentor 76
Weierstrass Weierstrass, in addition to his numerous mathematical contributions, is known for introducing rigor of proof and cleanliness of definition into the calculus of variations at a time that it was sorely needed. He did not publish his work in this area but developed a complete and polished set of lecture notes that he used in his university courses at the University of Berlin. Today we know about his many contributions in the calculus of variations from his collected works which was constructed primarily from the lecture notes of his numerous students during the time period 1865 – 1890. It is alleged that Weierstrass had 40 or so students during this time period and may of these students became quite distinguished in their own right; for example Cantor, Frobenius, (Sofia) Kowalewski ( as a women she was not officially accepted as a student at the University of Berlin and was given an honorary degree), Mittag-Leffler, Runge, Schur, and Schwarz. 77
Weierstrass Weierstrass' critical sense and need to base his analysis on such a firm foundation led him to continually revise and perfect his writings to the point that publication was precluded. In spite of this his work he became so well known that today he is called the father of analysis. 78
A Story of Mystery and Intrigue "Karl Weierstrass and Sofia Kowalewski" In 1870, at the age of 20, Sofia Kowalewski came to Berlin to study with Weierstrass who was 55 years old at the time. He taught her privately since she was not allowed admission to the University. She was an unusually gifted young woman in so many ways, Weierstrass: Sofia is my favorite pupil and my "weakness". She died at the age of 41, he burnt all of her correspondence. 79
A Story of Mystery and Intrigue I would love to see a book written focusing exclusively on the Weierstrass-Kowalewski Relationship In fact I have a title for this book. 80
The Integral and the Integrand: A Story of Love and Respect 81
Thank you for your attention. 82
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PointCare Donates Diagnostic Tests to Haitian Clinics to Ensure Resumption of Critical HIV/AIDS Patient Care and Bolster Emergency Medical Treatment for Earthquake Victims
"Since 2006, our PointCare NOW systems have been used successfully in Haiti to initiate and monitor anti-retroviral therapy (ART) for thousands of HIV/AIDS patients - we've had systems in 22 individual clinics, most of them in the greater Point-au-Prince area," said Michael Cohen, senior advisor to the PointCare chairman. "We're a very small company with limited resources, but when we heard from the people on the ground in Haiti that they couldn't resume patient care because supply was not getting through, we loaded up two pallets of test kits, and sent them off to our Haitian distributor, Reinbold Import & Export, who has delivered them to clinics free of charge."
Mr. Cohen continued, "We are inspired by the amazing work our partners are doing to assist with medical relief operations in Haiti. For example, every day Reinbold was driving a small convoy to Haiti's border with the Dominican Republic (a city called Jimani) to take the most seriously injured for treatment in the D.R. and to bring back clinical testing reagents, sutures, orthopedic devices, surgical materials, and many other donated products. In another example, the University of Maryland's Institute for Human Virology - which uses the PointCare NOW system in Haiti to deliver important HIV/AIDs services - has been sending emergency surgical teams to operate in a 'tent' hospital since soon after the quake. Reports of their experiences and others like them led to our donation of the hematology tests. Complete blood count (CBC), hemoglobin, and the other hematology tests are critical to identifying infections, anemia, and active TB. But many of the traditional hematology systems in Haiti, designed for use in clean, temperature-controlled conditions, have become unusable in the current environment. In some settings, our rugged PointCare NOW system has become the best option for stand-alone hematology testing."
About the PointCare NOW(TM) system
A daily cocktail of anti-retroviral therapy drugs can slow dramatically the development of HIV/AIDS. However, regular, repeated CD4/CD4% testing in HIV-infected individuals (examining the CD4 cells, also known as T-helper cells, in the blood) is essential - first to determine when ART should be initiated and then to ensure that the treatment remains safe and effective. The PointCare NOW system is the first and only true point-of-care diagnostic instrument for monitoring CD4/CD4% and hematology parameters in HIV/AIDS patients. Rugged, compact, and designed to go anywhere to meet the needs of patients in decentralized and low-resource settings - the PointCare NOW system improves availability, accessibility, and affordability of high-quality HIV/AIDS monitoring. Operated by a nurse or phlebotomist, the transforming power of the PointCare NOW lies in its ability to do three things:
It does this by addressing the key constraints in remote settings:
About PointCare Technologies Inc. (www.pointcare.net)
PointCare Technologies is one of America's leading companies in the worldwide effort to treat patients that are current living with HIV/AIDS. This privately held, FDA-registered, ISO-certified medical diagnostics company invents, develops, manufactures, and markets medical diagnostic products. PointCare brings diagnostic capabilities to resource-limited urban and rural regions, enabling immediate identification and treatment of infectious diseases by healthcare professionals.
1. Move CD4 and hematology testing out of laboratories and into clinics for near-patient services 2. Provide immediate results in eight minutes - for testing and treatment in a single visit 3. Provide comprehensive results - T-cell subset depletion, anemia, and abnormal white cell differentials are all reported on the spot for improved clinical management including an indication for active tuberculosis
SOURCE PointCare Technologies Inc.
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The 14th Elliot Norton AwardsPresented by Boston Theater Critics Association, the awards honored the season's best work in Boston's theaters (from May 1, 1995 to April 30, 1996).Guest of Honor: Uta Hagen, actor and teacherNorton Prize for Sustained Excellence: Alvin Epstein, actorOutstanding Large Production, Visiting CompanyThree Tall Women Outstanding Small Production, Visiting CompanyDiary of Anne Frank (Foxboro)Outstanding Production by a Large Resident CompanyRaisin in the Sun (Huntington Theatre Company)Outstanding Production by a Small Resident CompanyAll in the Timing (Merrimack Repertory Theatre)Outstanding Production by a Local Fringe CompanyJeffrey (SpeakEasy Stage Company)Outstanding Director, Large CompanyKenny Leon, Raisin in the Sun (Huntington Theatre Company)Outstanding Director, Small CompanySpiro Veloudos, Sweeney Todd and Anything Goes (Publick Theatre) Outstanding Designer, Large CompanyIan MacNeil, An Inspector Calls (touring)
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Hi Joe,
Planting out trees is great! Something you may want to explore is raising
the seedlings yourself... If you can collect local seed or aquire it from a
local forest/reserve/farming body, growing trees can be really rewarding.
Not only do you keep the qualities that are available in your local forest
gene pool, you also get to take part in the miracle of creating a forest,
you'll have seen them as seeds!
Our household lives in Melbourne, Australia, with a tiny square of bricks
for a back yard, so as we are far from the forests we grow native trees
which we will plant with a on a degraded farm site in Castlemaine, country
north-west of where we live. There are heaps of families who do this here,
some growing native grasses, others trees and shrubs for sites both in the
city and in the countryside.
I'm sure you are aware of just how quickly the forests of the world are
being depleted, and of how great and important it is to start local, for
every native plant put back is another link in a chain that stretches around
the entire planet.
In case you are interested our organisations are the
Tree Project http://home.vicnet.net.au/~trees/
Greening Australia http://www.greeningaustralia.org.au/
and Landcare http://www.landcareaustralia.com.au/
help with info about 'how to:'and you may find some interesting details on
their sites.
The organisation that seems to be similar in the USA is
the National Tree Trust http://www.nationaltreetrust.org/home.htm
Which community groups and individuals can join and they help you to replant
plant forests.
Good luck with your noble pursuit!
Tamsin Salehian
On 20/8/02 6:00 AM, "Laura Berman" <email@example.com> wrote:
> Can someone please help with this request for help from the Seattle area? As
> always, please reply to the original sender, not to me ;-)
> Laura
> ---------------------------------------------
> Greetings,
> My name is Joe McNulty. I am working on my Eagle Boy Scout project. I hope
> to replant/reforest an area around the Alderwood Boys & Girls Club with
> native NW trees, such as Douglas Fir, Hemlock and Western Red Cedar or other
> native NW trees.
> The property where the Alderwood B&G Club is located is owned by the
> Alderwood Youth Club (AYC) and is in suburban Lynnwood, WA, north of
> Seattle. This area is rapidly becoming de-forested and I would like to see
> more trees here.
> I was wondering if you could direct me to where I might find seedlings for
> this planting project, either purchased at low cost or preferably donated.
> I would like to plant around 300 seedlings because I know that not all of
> them will survive.
> My Troop and I are clearing the area now of junk and blackberry bushes and
> hope to plant in late September or October.
> I appreciate any guidance you can give me.
> Thank you.
> Joe McNulty
> ______________________________________________________
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> We have not had as much southern winds in the
> last few years as many years ago when I was growing up.
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Offering a style of service they call "Eatertainment," this lively spot allows guests to enjoy a delicious meal of Mediterranean meets Caribbean fare while sipping on a mixed drink from the bar and taking in the view of the marina.
Fire & Ice is a bar and grill that offers Caribbean and Cuban cuisines, as well as seafood. When it comes to the level of formaility, the setting here is informal. This eatery is open for both breakfast and dinner, so make time to stop by.
Situated on the eastern part of the island of Providenciales, Fire & Ice is located at Blue Haven Resort. For residents and tourists spending time in and around Grace Bay, the restaurant is found to the northeast.
With at least one attraction just a short distance away from the restaurant, this can be a nice place to explore. The attraction that's most convenient to Fire & Ice is Caicos Conch Farm, which can be found a short distance away.
There are a few convenient outdoor pursuits and other activities to fill your afternoons you want to relax or try something new. Whether they are beginners or veteran golfers, travelers who wouldn't mind showing off on the links can improve their games at the neighborhood golf facility, Provo Golf & Country Club. For those who want a mix of excitement and leisure, trek over to Blue Haven Beach, which you will find to be the most nearby beach and is only three quarters of a mile away. Also, those are only a few options among a group of beaches and golf courses in the vicinity.
For diners in the mood for another place to eat with similar menu items or a similar ambiance, there are quite a few nearby places to choose from, including Fairways Bar & Grill. Diners can find it a mile and a half from Fire & Ice.
On the other hand, if you're in the mood for something a little different, this section of Providenciales has an impressive range of dining establishments, which offer all types of cuisine styles and menu items. For instance, you can try some different food served at a nearby dining destination, like Gilley's Restaurant, which is a few hundred yards away.
Location: Leeward Highway, Providenciales
Phone: (649) 946-9900
Website: http://www.bluehaventci.com/fire-ice-newest-turks-and-caicos-restaurants/
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"Experience paradise rock-star style, in the most exclusive resort in Jamaica"
Rooms are light and airy with driftwood-lined verandas and local wooden furniture, giving a luxurious but relaxed beach-shack feel. There are sunloungers for lazing and some have a hammock.
Our favourite rooms were the cottages on the magically still lagoon, with direct access into the water, and a kayak moored to the private veranda. Beachfront Villas feel slightly less private but you wake up to sunrise over the ocean; unbeatable. Bigger villas have space for 4-5 guests, and a kitchenette for whipping up snacks.
Superstars should book The Fleming Villa. This exclusive rental comes with serious VIP treatment: private chef, butlers, barmen, a private pool and a private beach. It sleeps 10, should you have an entourage.
Since our visit, a variety of Beach Huts have been added. Painted in rainbow shades with private verandas and wet rooms, they are simpler than the other options, but just as charming. Note that they do not have air-conditioning, although the team assures us that their high ceilings and over-sized windows provide ample air circulation.
Super-comfy kingsize beds are wrapped in crisp, white linens, which are offset by brightly patterned bedspreads. Clawfoot bathtubs up the romance factor and you get a host of cool treats: a hipflask of rum, an Apple TV, a stack of reggae CDs.
Food is a mix of local and international influences, much of it grown at their organic farm, Pantrepant. (Just watch out for those Scotch Bonnet peppers!)
Breakfast and lunch are served at the funky Bizot Bar, whose walls are decorated with album covers of Island Record stars. There's a lot of choice on offer, from ackee and saltfish, to fried eggs and bacon, pancakes or waffles. Lunch is similarly expansive; we loved the jerk chicken salad and super-fresh seared snapper.
Dinner is served in Gazebo, which sits like a treehouse above the swimming pool, which has dramatic under-water lighting. As you'd expect, standards are very high, and our coconut-crusted shrimp, Black Angus beef tenderloin and Blackwell Rum banana flambé were all amazing. Meals can also be served on your private deck or in your room on request.
The Beach Huts centre around the Shabeen bar, with rooftop lounge and games room. It's just steps away from Snorkeler's Cove, perfect for post-swim refreshments.
Delicious cocktails are encouraged at all times of the day, with Blackwell Rum (created by GoldenEye's owner Chris Blackwell) heavily featured. If you prefer to go soft, fresh coconut water is a must when in Jamaica.
Although peace is the overriding vibe, well-behaved children are warmly welcomed. The number of young 'uns staying at one time is monitored to ensure there are not too many at once. There are 58 acres of gardens, woods, lagoons, caves and beaches for kids to explore, and in general the resort feels very safe. Babysitting can be arranged and there is baby equipment to borrow. Teenagers will love it here.
All ages
The Beach Villas are the best for families with little kids; older ones may prefer the lagoon, with the novelty factor of the kayaks. Both Beach and Lagoon Villas offer 2-bedroom options (a double and a twin), and each can fit extra beds or baby cots too, as can the 1-bedroom versions. All accommodation has a kitchenette, except the Lagoon Cottages. A larger family party may want to book The Fleming Villa which sleeps 10
On request
Remember baby and child equipment may be limited or need pre-booking
A dedicated kids' menu and kids' mealtimes
For more family-friendly places, see our Kids Collection


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Arts, Design, News & Politics, Society & CultureFollow
A briefing on global affairs, business, culture and design.
December 3rd, 2012
Episode 285 of 626 episodes
As 2012 draws to a close, Monocle has laid a spread of gifts to make Christmas a cracker.
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Welcome to the daily audio workout for your head.


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Burundi Soccer Player Survives Assassination Attempt, SOS Saysby
A player in Burundian President Pierre Nkurunziza's soccer team survived an attempted assassination by unidentified gunmen in the capital, SOS Medias Burundi reported.
The player, identified only as Jamal, was ambushed and shot in the legs as he left his home in Bujumbura's neighborhood of Buyenzi on Wednesday evening, the group of independent journalists said on its Facebook page, citing a local resident.
Jamal, captain of Hallelujah FC, was taken to hospital and his assailants escaped, SOS said. Nkurunziza, an ex-soccer coach, formed the team with fellow veterans after becoming president at the end of Burundi's civil war in 2005. He plays as a striker and "scores regularly," according to his website.
Violence in the East African nation that holds 6 percent of the world's nickel reserves has killed 240 people and forced more than 180,000 to flee their homes since Nkurunziza announced his bid for another term in April. Opponents say his July re-election violates a two-term limit set out in peace accords that ended the 12-year conflict.


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iPhone apps
AutoStore News for Ricoh MFPs
NSi AutoStore (TM) is a server-based application which orchestrates the capture and secure delivery of paper and electronic documents into business applications. This iPhone/iPod application offers the latest information for individuals who sell,….. Read more
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Who are Action on Depression?
Well, good question. We started out as the Scottish Officer of Depression Alliance in 1997. We became an independent charity in 2004 as Depression Alliance Scotland. We changed our name in June 2011 to "Action on Depression" to better reflect the work we do.
We receive funding from the Scottish Government, charitable trusts and from donations from individuals. We do not accept funding from the pharmaceutical industry.
Our staff team consists of 3 full-time and 4 part-time members of staff based in Edinburgh and we are the only national Scottish organisation working with and for people affected by depression.


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Fantech AEV 1000 - 120 CFM, Air Exchanger without Heat Recovery
DetailsThe Fantech AEV 1000 Exchanger is designed for year-round use. When the temperature is hot outside and the room is air conditioned, it cools the incoming air by mixing it with the stale air that is being exhausted. In winters, the incoming cold air is warmed by mixing it with the return air. This air exchanger is versatile in operation as it works continuously or intermittently. When it works continuously at low speed, it discards carbon-di-oxide and other gases. This exchanger can be operated intermittently at high speeds using various remote control options. The AEV 1000 can be installed in any position and comes with a 3-position external switch.
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Dr. Richardson's Surviving Cancer Naturally Boot Camp
An Integrative Oncology approach to naturally turning off the mechanisms and genes that causes cancer and other chronic diseases.
Learn How To Use Food and Natural Therapies To Prevent & Reverse Cancer!
Dr. William E. Richardson MD is a pioneer in the field of holistic integrative medicine, founder of American Clinics for Preventive Medicine ( ACPM.NET ), a vegan/raw foodist for 40 years and at 62 has the vitality of a man 30 years his junior. During this unique opportunity, you will spend a day with Dr. Richardson as he gives his guidance towards creating perfect health for a lifetime and beyond. The application of the tools taught in this one day seminar can prevent the recurrence of cancer and other debilitating diseases.
This class is ideal for individuals with or without chronic illnesses who want to make fundamental changes to improve their health and wellness, without the need for medical intervention or treatments. Also for those who 'support' loved ones who may be going through challenging health crises.
For individuals who have cancer.
For individuals who have had cancer in the past and are now in remission.
For individuals who have a family history of cancer.
For care-givers of cancer patients.
Those who want clarification about complementary alternative therapies and cancer.
Cancer Boot Camp Includes:
A one on one(group) training with Dr. Richardson. He reviews human anatomy, the biochemistry of the body, the major organs and how they work, and what happens when they are not working properly. You will receive the exact procedural information that Dr. Richardson takes his patients through for a regular intake visit, priced at $350.00. But for this one time, your investment for this vital and valuable information will only be $195.00 for one and $290 for two people. The Cancer Boot Camp allows Dr. Richardson to take his time and deliver a more in-depth conversation than he has time for during a regular patient appointment.
The Golden Takeaways you'll Receive :
Learn how to create an environment inside your body that cancer can't live.
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Learn about the healing powers of plant based foods. Embrace the "Let food be your medicine" philosophy
Observe food demos and eat delectable foods prepared by Quinnie's Kitchen
Taste amazing and healing fresh juices and blended drinks that will excite your taste buds.
Take home recipes for all raw foods and healing delicious drinks sampled.
Find out how herbal supplements assist our body's immune system.
Discover which herbs are used to balance the body and aid in detoxification.
Get all of your questions about health in general and cancer in particular answered during our Q & A session.
Dr. Richardson's "New You Nutritional and Lifestyle" Book and Manuel
Schedule during session for your Personal Iridology Reading
Future Benefits To Assist Your Wellness Journey
10% Discount on Supplements, Quinnie's Kitchen Classes and Meals
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Private Iridology Reading ( offer expires November 30th )
Knowledge acquired and applied from your Boot Camps often includes:
Reversal or Prevention of Cancer
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How to make sense of all the optional theraphies avaialbe to cancer patients.
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$250.00 for 2 people; bring your wellness partner (Optional).
Reserve Your Space Now By Registering at Eventbrite
Call 770-419-4471 for more information
Or Email: firstname.lastname@example.com


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Reactions in Aqueous Solutions Ms. Mack Chapter 10, Section 3 Chemistry I- 3/24/09
Introduction Many reactions involve substances dissolved in water. When this happens, solutions form –Solutions (homogeneous substances) Two parts: –SOLUTES- substances dissolved in water –SOLVENTS- the most plentiful substance in a solution
Water, the universal solvent (H 2 O) Examples of Solutes: –Molecular compounds that exist as molecules –Molecular compounds that form ions when they dissolve in water (H+ ions=acids) –Ionic compounds When dissolved in water, the ions can separate
The Products When 2 aqueous solutions that contain ions are combined, the ions may react with one another in a DOUBLE- REPLACEMENT reaction producing: A.Precipitate (s) A. Precipitate (s) B. Water (l) C. Gas (g)
A. Precipitate Use ionic equations to show the details of reactions that involve ions in aqueous solutions Substances are written as ions Complete ionic equations- show all particles involved in a chemical reaction
AgCl (s) NaCl (aq) + AgNO 3 (aq) NaNO 3 (aq) + AgCl (s) Complete: Na + (aq) + Cl - (aq) + Ag + (aq) + NO 3 - (aq) Na + (aq) + NO 3 - (aq) + AgCl (s)
Spectator Ions Notice, that there are ions that appear on both sides of the equation These ions do not participate in the formation of the solid product These ions are called spectator ions. –What were the spectator ions in the previous slide?
Net Ionic Equations Equations that show only the ions involved- omitting the spectator ions are called complete ionic equations! From the previous example: Cl - + Ag + AgCl (s)
Practice! Write the chemical, balanced, complete ionic and net ionic equation for the following: Aqueous solutions of potassium iodide and silver nitrate are mixed, forming the precipitate silver iodide. See white board for solution!
B. Water Some reactions form water No evidence of the chemical reaction can be observed. Why? Example: HCl (aq) + KOH (aq) H 2 O (l) + KCl (aq) H + (aq) + OH - (aq) H 2 O (l)
Practice! Sulfuric acid (H 2 SO 4 ) and aqueous potassium hydroxide react to produce water and potassium sulfate.
C. Gas Common gases produced: carbon dioxide, hydrogen cyanide, and hydrogen sulfide Example: H 2 S (g) Na 2 S (aq) + HCl (aq) NaCl (aq) + H 2 S (g)
Practice! Sulfuric acid and aqueous rubidium sulfide with production of hydrogen sulfide gas
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In continuation of the extensive Stussy XXX anniversary collection, this twinset of hoodies has been produced in conjunctioin with serial collaborators of late, Champion. Available in either grey heather or black, the weave zip-ups are restrained in both color and branding, featuring the Stussy signature on the hood and Champion "C" on the arm. Finished with simple front pockets, the hoodies are set to release on October 9, along with matching sweat pants.


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Meredith Events is available for wedding planning in Little Rock and Memphis.
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[December 17, 2012]
AlphaChooser Launches GPS Eliminator, A One-minute Vehicle GPS Chooser Tool
Montreal, Qc, Canada, Dec 17, 2012 (PRWeb.com via COMTEX) -- Shopping for a car GPS is now easier, as AlphaChooser launches GPS Eliminator, a 1-minute chooser tool for vehicle GPS units. Answer seven easy questions about your needs and GPS Eliminator will tell you just which GPS units you need to buy. Absent-minded drivers can narrow the list to just models with a speed limit indicator while hardcore commuters can further restrict the selection to models that offer traffic updates.
Two features distinguish GPS Eliminator from classic product chooser tools: It is universal and store-independent, because it includes all popular brands, not just those sold by a specific store. And, instead of letting you make blind choices and get no results (or too many!), it guides you question-by-question, telling you each time how many GPS units will remain after each of your choices and what the minimum market price will be.
Based on Celliminator, a cell phone chooser by sister web site Phonerated.com, GPS Eliminator does its trick by eliminating GPS models as you specify your needs. It starts with 49 popular 2012 and 2013 GPS models from the main manufacturers and works its way down to your ideal choices.
GPS Eliminator is not your usual web-based product chooser because you are forewarned of the cost of each decision you make as well as the remaining selection. For instance: Request traffic updates and the list will go down to 23 while prices will go up by $10 ... Add 3D terrain view Only six devices will remain and the minimum price will jump to $119 ... With that much guidance, you can choose while knowing fairly well where you will end up.
The free, handy tool is available starting today at
and covers car, truck and RV GPS units from Garmin, Magellan, TomTom and Rand McNally.
AlphaChooser -- by the creators of Phonerated.com and the Katapulco.com search interface -- is a data-driven product analysis tool made for consumers who care about specifications, but do not like to do their own research. AlphaChooser currently covers the most popular products in categories ranging from Bluetooth headsets to toasters.
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Bent Rye of Temasys talks WebRTC at Real Time Web Solutions NYC 2016
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Pet Sitter in Tracy
I am a veterinary technician by trade and truly have the love for animals of all kinds. I am available for any of your pets needs in your home, walking, feeding, bathing, medicating, basic behavior training and just good ole fashioned love and attention. References available.
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> I am trying to work out if good dranage
> decreases or stops rot.
IMHO stress plays a big part in rot. Here in Lubbock, drainage has not
been a problem in many years. However drought and Round-up certainly
caused some rot for me this year. I may have had small bits of it in
the past but this year was bad. I lost several clumps and set back many
others who are doing their best to recover now.
Dana Brown, Lubbock, Texas Zone 7
Where we are 3,241 ft above sea level, with an average rainfall of
of rain a year. Our average wind speed is 12.5 mph and we have an
of 164 days of clear weather, 96 of which dip below freezing.


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Which Joe gave his name to 'sloppy joes'? We look at five interesting sandwiches and their lexical origins.
Definition of accusator in English:
An accuser; specifically a plaintiff, a prosecutor.
Late Middle English; earliest use found in The Wycliffite Bible (early version). From classical Latin accūsātōr prosecutor of a public trial, accuser, plaintiff, professional prosecutor, informer from accūsāt-, past participial stem of accūsāre + -ōr. Compare Middle French, French accusateur.
Further reading
6 punctuation marks you might be using incorrectlyRead more
We take a look at several popular, though confusing, punctuation marks.
An A-Z of country name originsRead more
From Afghanistan to Zimbabwe, discover surprising and intriguing language facts from around the globe.
How brothers became buddies and brosRead more
The definitions of 'buddy' and 'bro' in the OED have recently been revised. We explore their history and increase in popularity.


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The TLR Race Team has done extensive testing this year with their 22-4's in all conditions. One large improvement we've made to add to the durability of the 22-4 was to remove the notch from the center of the 22-4 front inner hinge pins. Now secured in place with a M2.5 locknut, the front hinge pin has been far more durable without the groove originally included to secure the hinge pin.
To make this awesome upgrade easily accessible, it is now offered independently from the other hinge pins. This will only fit the TLR 22-4 4WD Buggy.22-4 Front Hinge Pin Set Features:
Royal mail at £3.50, or Express at £6.95.
Full details at checkout.
Some items cannot be sent via Royal Mail due to their restrictions.
To see shipping costs simply add the item to your basket and choose your country from the drop down list on the view cart page.
Use this form to ask us a quick one sentence question about this specific product. For more in depth queries, please feel free to email or call us.
Our system will drop you an automated e-mail as soon as this product comes back into stock.


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Rio de Janeiro Dois Irmãos Hiking & Vidigal Favela Tour
Duration: 6 hours
Hike to the top of Dois Irmãos Hill and explore the neighborhood of Vidigal in a 6-hour tour in Rio de Janeiro. Enjoy the mountain air, surrounding…
Rio de JaneiroSee all 251 tickets & tours
Want to discover all there is to do in Leblon Beach? Click here for a full list.


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|Page (1) of 1 - 08/03/12
|email article
|print page
Tom Cruise is not letting all the negative attention from his split and claims of being a Scientology monster get to him. Its just another day in the park. The 50 year old actor and Suri had the time of their lives at Blizzard Beach water park at Disney World, Florida.
|Cheery Tom Cruise Takes Suri To Disney Water Park
Source:GrabNetworks (c). All Rights Reserved


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Joey Oglesby: "The Ballad Of Ted & Tad"
October 18, 2010 Leave a comment Go to comments
Going through my archives, I realized that I have quite a handful of posts about the ever adorable Mr. Joey Oglesby. He has a new web series called "The Ballad Of Ted & Tad." I've seen it, downloaded it, and watched it countless of times. Others might feel offended by the conceit of the joke, but this is exactly what I come to expect from someone who sung a catchy song about a gay-hating God. Check it out folks…
I can't wait to watch further installments of this online series. In the meantime here are screenshots of Joey from the video. If I may add some constructive criticism: thank you for wearing a tanktop. A big thumbs up from me, for sure… 😉
[Related Posts – Joey Oglesby]
Categories: Actors, Entertainers, Humor, Photos, Videos, Web bear, cub, joey oglesby, the ballad of ted & tad, youtube


text: CHALK IT UP TO EXPERIENCE: It's not often that you find chalkboards in modern-day American classrooms. Many have been replaced by SmartBoards, overhead projectors, and other pieces of technology. But Bradley Emerling, Principal Research Scientist at Pearson Research and Innovation Network, can't say the same for Japan. After taking a trip out there last winter and visiting 17 different classrooms, which he then documented, Emerling quickly saw just how much influence the chalkboard still has in Japanese math classrooms--and how effective chalkboards still can be when used purposefully.


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City of London University Accommodation
If you're looking forward to beginning your studies at one of the top universities in central London, it's likely that you'll also be looking for some high quality accommodation.
Pure Student Living offers a choice of three properties across the capital, each giving residents the same high standard of facilities that will provide the ideal environment for studying and enjoying your leisure time in one of the world's most vibrant cities.
Pure Student Living Properties
Students have three choices of Pure university accommodation in central London. Pure Highbury is located in North London, close to Finsbury Park and just a short distance from King's Cross. Elsewhere, Pure Hammersmith can be found in one of the most stylish corners of West London, while Pure Bankside is just over the river from the City of London.
Each of these properties offers a selection of attractive rooms to choose from, including studio accommodation or study rooms where your living room and kitchen is shared.
Everyone is also welcome to use the laundry room, postal service, bike store and gymnasium provided within the accommodation.
Securing your room
When you have decided which property would be most convenient for you to stay in during your university course, you can reserve your room in just a matter of minutes using our online form.
Once you have provided your email address and academic year, you will be taken to the main booking form where you can browse the available options. You then secure your selection with a £400 deposit, which will be returned to you when you vacate the accommodation.
Paying your rent is also made easy with two options. Either you can settle the entire sum in one go before you arrive or pay three instalments over the course of the year.
We can also welcome you and your family for a viewing if you'd like to see what Pure Student Living offers first hand before booking,.


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View other listings in Coburg, Brunswick East, Brunswick, Glenroy, Essendon, Roxburgh Park.
Online 4 months ago
Rent budget
Preferred stay length
Move date
I'm great to live with as I am a very easy going person. I like meeting new people and making friends. I am also like my surrounding clean and organised so I always tidy up whenever I have free time.
Lyra is also interested in Teaming-Up and starting a new share house.


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Notice a categorization error? Let us know by clicking [alert editor] on the recipe page, in the ingredients box.
Snail Butter / Beurre Descargots
Ancho Chili Black Bean Potato Skins with Cilantro Lime...
Lumaconi with Prosciutto and Lemon Breadcrumbs
Escargots à la Bourguignonne recipe | Epicurious.com
Mushrooms Stuffed with Escargot
Roasted loin of New Forest venison with snails, roaste...
Snails in Mushroom Caps
Escargots En Cercueils ( Snails in Puff Pastr
Escargots a la Bourguignonne
Snails with Garlic Butter
Hereford Snails
Escargot with Puffed Pastry
Escargots Au Roquefort
Escargots Bourguignonne
Cappelletti W/ricotta & Snails
Black Bean Ragout with Snails
Snails Menetrel / Escargots a la Menetrel
Escargot and Chanterelle Pizza


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STARKVILLE -- Mississippi State gets another shot to win a championship.
STARKVILLE -- Mike Moynihan, Mississippi State's director of men's basketball operations, tells the story of watching sophomore guard Quinndary Weatherspoon make 34 3-pointers in a row. Stories of this lore are not uncommon in the basketball world, yet most coaches have no definitive answer for how to translate a reasonable amount of that success to games.
Sometimes second impressions are more important than the first.
LEXINGTON, Ky. -- The Mississippi State killer struck again Thursday night.
LEXINGTON, Ky. -- Morgan William knew she had to make a change in the second half.
STARKVILLE -- Andy Cannizaro is staying far away from the panic button.
STARKVILLE -- The countdown continues.
STARKVILLE -- At the ITA National Team Indoor Championships in Charlottesville, Virginia, Nuno Borges was showing his frustration.
STARKVILLE -- Sometimes you never know what you're going to get in recruiting.
JACKSON -- Mississippi's football team will not play in the postseason next year. The Rebels might be facing more penalties, too, now that the NCAA says the program has committed more than 20 rules violations over the past several years.
STARKVILLE -- Brant Blaylock had no doubt: he had just hit his first collegiate home run. Mississippi State's redshirt freshman left fielder couldn't help but give a subtle flip of the bat as he watched it soar out of Dudy Noble Field.
STARKVILLE -- I.J. Ready was the last Bulldog through the post-game handshake line. As Ready turned to his right to return to the locker room, he untucked his cream jersey and shook his head as a teammate wrapped an arm around him.
STARKVILLE -- One day after moving up to No. 2 in the third and final NCAA Reveal, the Mississippi State women's basketball team achieved a new record Tuesday when it climbed to No. 2 in the USA Today Coaches Poll. The ranking eclipses the No. 3 ranking in that poll MSU earned last week and the No. 3 ranking it has achieved in The Associated Press poll.
STARKVILLE -- The Morehead State baseball team used a 10-run ninth inning Tuesday night to rally past Mississippi State 13-8 at Dudy Noble Field.
STARKVILLE -- Turnovers aren't a common Achilles' heel for the Mississippi State men's basketball team. The Bulldogs' average turnover margin per game was just shy of plus-1 prior to Tuesday night, but that number will change after they committed a season-high 22 turnovers in an 87-82 overtime loss to Ole Miss at Humphrey Coliseum.
STARKVILLE -- Andy Cannizaro has a different use for the No. 9 spot in his lineup. Last season, Cole Gordon led the LSU baseball team with a .329 batting average and a .427 on-base percentage. Gordon also was the team's second-best base stealer. Production like that normally is found at the top of the lineup.
STARKVILLE -- Even in losing four of its last five games, the Mississippi State's men's basketball team has remained competitive. The margin of victory or defeat in that stretch has been 5.5 points. You have to go back one more game -- an 88-61 loss to Ole Miss on Jan. 31 -- to see that streak end.
COLLEGE STATION, Texas -- The No. 3 Mississippi State and No. 23 Texas A&M women's basketball teams traded eight leads Sunday, leaving MSU coach Vic Schaefer worn but pleased with the end result. "That was a heck of a ballgame, and you hate somebody had to come out on the short end," Schaefer said. "There were a lot of runs in this game. We just happened to get the last one."
STARKVILLE -- All Mississippi State second baseman Hunter Stovall had left to show was a bit of baserunning. Entering Sunday night's game against No. 25 Texas Tech, Stovall already had shown he was one of the better hitters at Dudy Noble Field. He also had fielded his position without making an error. His chance to make an impact as a runner came in the fourth inning, when he reached third base as the go-ahead run.
OXFORD -- The Ole Miss baseball team used a five-run sixth inning and clutch pitching from a familiar face to claim an 8-6 victory and a series sweep of No. 6 East Carolina on Sunday afternoon at Swayze Field. The five-run inning helped Ole Miss (3-0) erase a four-run deficit. Sophomore Dallas Woolfolk worked out of a bases-loaded jam in the eighth to help keep the undefeated season intact.
1. New Hope boys' basketball falls in Class 5A playoffs HIGH SCHOOL SPORTS
2. Starkville boys denied return trip to Jackson HIGH SCHOOL SPORTS
3. Bulldogs use shot-tracking technology to stay on top of game COLLEGE SPORTS
4. Minichino column: MSU women playing for SEC title today LOCAL COLUMNS
5. West Lowndes boys earn third straight trip to Jackson HIGH SCHOOL SPORTS


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BACKGROUND & OBJECTIVES Information on gastrointestinal manifestations and then response after curative parathyroid surgery is scarce in symptomatic primary hyperparathyroidism (PHPT). This study was carried out to analyse gastrointestinal manifestations in patients with PHPT and their associations with biochemical parameters. METHODS This retrospective… (More)
Aluminum is neurotoxic both in animals and human beings primarily because of its interference with biological enzymes in key mechanisms of metabolic pathways. Mitochondrial dysfunction is one such mechanism that has been implicated in the pathogenesis of neurodegenerative diseases like Alzheimer's disease. Aluminum toxicity is very closely related to… (More)
Involved in the ongoing debate is the speculation that aluminium is somehow toxic for neurons. Glial cells cope up to protect neurons from this toxic insult by maintaining the glutathione homeostasis. Of late newer and newer roles of glial cells have been depicted. The present work looks into the other regulatory mechanisms that show the glial cells… (More)
BACKGROUND & OBJECTIVES Fibrous dysplasia (FD) is a rare metabolic bone disease and information available from India is limited to only anecdotal case reports. We describe the clinical profile and therapeutic outcome of 25 patients with FD observed over a period of 14 yr in a tertiary care centre from north India. METHODS In this retrospective study… (More)
UNLABELLED We describe the clinical presentation, diagnostic and management issues in five cases of non-islet cell tumor hypoglycemia (NICTH), diagnosed at a tertiary care institute over a period of 15 years. The clinical, laboratory, and histopathological findings of these patients along with diagnostic utility of IGF2:IGF1 ratio are discussed. The mean… (More)
- Gayathri Petluri, Manoj Kumar Goyal, Veenu Singla, Bhagwant Rai Mittal, Uma Nahar, Manish Modi +2 others
- 2014
Neurolymphomatosis, defined as invasion of cranial nerves and peripheral nerve roots, plexus or nerves by Non Hodgkin's Lymphoma is a very rare clinical entity. We describe a case of 69 years old gentleman, who presented to us with asymmetric, painful sensorimotor polyneuropathy. He was admitted with 2 months history of dry cough, constitutional symptoms,… (More)
BACKGROUND Although rare, primary calvarial hemangioma is a known entity, surgical excision of which usually results in massive blood loss. Successful total excision of such a lesion remains a challenge, especially when these are in close vicinity of major venous sinuses. CASE DESCRIPTION Authors describe a rare case of intra-osseous occipital cavernoma… (More)
Skeletal neurofibromatosis (NF) commonly manifests as scoliosis and tibial dysplasias. NF affecting the pelvic girdle is extremely rare. Pathological fracture of the acetabulum leading to anterior hip dislocation in a patient with NF-1 has never been reported in the literature. The paper presents the clinical symptomatology, the course of management and the… (More)
Aluminium (Al) is neurotoxic primarily because of its interference with biological enzymes in key mechanisms of metabolic pathways. Mitochondria being a major site of reactive oxygen species (ROS) production, it seems that the oxidative damage to mitochondrial proteins may underlie the pathogenesis of Al induced neurodegeneration. The present study… (More)
Endometriosis is a common benign disease of reproductive age women, and can involve the intestinal tract. Inconsistent clinical presentation, similar features on radiological imaging and colonoscopy with other inflammatory and malignant lesions of the bowel makes the preoperative diagnosis of bowel endometriosis difficult. We present a case of a 42-year-old… (More)


text: Hi i am an ex service man now driving a Black taxi in Belfast with several other ex service men. 0ver the last few weeks it has come to our attention that service men in Belfast have been told not to use Black public hire taxis ,and to use some of the other pre book mini cabs ie F*** a cab and V**** cabs.We the ex service men find this an insult to us. I understand the security issues with this. all i can say is im sure that terroists dont drive round with 9mm in there black taxis . And as for pre booking a taxi ie 4 people leaving palace barricks and going to town is asking for trouble or going to palace barracks as compared to just getting in to a black hack and going Black taxi drivers get the same vetting as any other taxi driver BUT AS ALWAY BE VIGILANT OUT THERE. THERE IS A BAD ELEMENT AND THEY HAVE NOT GONE AWAY BE CAREFULL


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Players torching RSM courses
We're not saying that the two RSM Classic courses are playing easy, but Lucas Glover was mad about a 66 because "we were being lapped."
Fowler, Mickelson three back at Quail Hollow
For the second straight day, Andrew Loupe leads the Wells Fargo Championship, but two household names are lurking just three shots back.
Golf Central Tuesday March 3, 2015
If it happens in golf, it happens on Golf Central. Watch every day before & after tournament coverage and follow @GolfCentral on Twitter for real-time scoring updates and breaking news as it happens.
Puerto Rico Open botches name of defending champ
Reigning PGA Tour Rookie of the Year Chesson Hadley is the defending champion of this week's Puerto Rico Open. Yes, guys, that's H-A-D-L-E-Y.
Defending Doral: Another WGC title for Reed?
Patrick Reed is "getting close" to becoming a top 5 player in the world. This week he's set to defend his WGC title at Doral.
Singapore fling: HSBC Women's preview
Golf Central's Tripp Isenhour and Tim Rosaforte preview this week's LPGA event, The HSBC Women's Champions.
Pros share love on Valentine's Day
Here's how PGA Tour and LPGA professionals are spending their Valentine's Day, and who they're spending it with.
Hadley makes double from rocks, eagle from fairway
After Chesson Hadley finished his round, all there was left to do was give the guy a hug.
Hadley pranks Bubba, laughs in his face
Chesson Hadley snagged an autograph from Bubba Watson on Wednesday. It was pretty excellent.
Grill Room: 'Overrated' Fowler seals win with kiss
Bailey Mosier brings you the latest from online and the social sphere. This week Rickie Fowler kisses critics goodbye, Chesson Hadley pranks Bubba Watson and John Daly tends the bar. Visit us at golfchannel.com/grillroom .


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How loathsome
NBM ComicsLit, 2004 - Biography & Autobiography - 109 pages
Do the town with gender outlaw Catherine Gore and her disreputable friends. It's Friday night and Catherine is dragged to an Sm party to see what passes for sex these days. Catherine is drawn to Chloe, a girl with a secret. This deeply personal, sexually fluid, drug-addled adventure is a gothic exploration of the not-so-obvious nature of gender.
What people are saying - Write a review
LibraryThing ReviewUser Review - rivkat - LibraryThing
Short graphic novel about the adventures of Catherine, a genderqueer person of unspecified means (work does not appear here except that a guy who tries to pick Catherine up says he's a Nissan dealer ... Read full review
LibraryThing ReviewUser Review - deliriumslibrarian - LibraryThing
Read this comic now or be forever doomed to a boring life. Seriously. I go into my local comic store every couple of weeks and ask "Is there anything like _How Loathsome_?" And there never is ... Read full review
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