text:
What do you call yours?
July 24th, 2005
Dr Petra
I get a lot out of reading other people's advice columns – and usually they teach me a lot personally and professionally.
And then again sometimes they don't.
Like today.
The Observer magazine was devoted to answering reader problems. I can't speak for the quality of the advice on fashion, gardening, nutrition and interiors, but the relationship advice was let down by the usual problem that the person giving the advice wasn't as knowledgeable as they might be.
Which is why they got into a bit of a pickle over a question from a reader about naming female genitalia. The reader asked 'boys have willies. What do girls have?…I have two-year-old-twin girls…and they know the name for all the body parts, bar one. Vagina is too technical, and fanny – though I don't mind the word – some people think is rude. As a child I used willy, but others tell me this is only for boys and will cause confusion. We need an answer and to stop this confusion about the naming of our girls' fannies, willies, vaginas. Help!'.
The reply wasn't a great deal of help. The reader was pointed in the direction of Eve Ensler's Vagina Monologues for some ideas on names for the female genitalia and that was about it.
The trouble is many people struggle with this issue – and it's the place of those set up as sex or relationship experts to help with the naming and celebrating of our genitals.
Sadly there's a long history of shame and embarrassment linked particularly with female genitalia, meaning parents, teachers, health professionals, friends and lovers get tongue tied when it's time to describe or discuss female anatomy.
The most commonly used approach is to describe the female body in contrast to the male – usually incorrectly and in terms of disadvantage – with parents and teachers saying things like "boys have a penis and girls don't", or "girls have a mini penis", or "boys have a penis and girls have a vagina which is like a penis turned inside out".
Anyone who paid attention in biology would know that in fact the penis is simply an overgrown clitoris, rather than a clitoris being an inadequate and stumpy dick. Furthermore direct comparisons of clits and dicks aren't helpful since the clitoris is so much more sensitive than the penis – and unlike the penis is the only organ purely devoted to giving pleasure.
How odd then that it rarely gets a mention in sex education materials for young people, or in the case of the Observer magazine's advice, is not mentioned at all.
Alternatively descriptors are used where the male penis and balls are given distinct descriptions, whilst female genitalia are all incorrectly called "vagina". So the clitoris and labia (which most young girls are aware of) are replaced by the term "vagina" that may not be so important to them just yet.
Those are the clinical terms of course. When it comes to slang terms it's just as difficult since most terms you use to insult another relate to the female sex organs.
Hardly surprising then that if you grow up with either no words to describe your pleasure organs, or are led to believe they are bad or dirty, or the only words you have to describe them are bad or dirty ones, then how can you find yourself desirable, or communicate any sexual needs to a partner.
Frequently women feel embarrassment, shame or disgust when having to think or talk about their sex organs. Whilst those like Eve Ensler have done a lot to bring the vagina out of the closet, the clit remains firmly shut away. If as a child your parents can't even work out what to call your vulva and vagina, or they use boys genitalia as a descriptor, or more likely say nothing at all or use coy descriptors like 'tinkle', then how can you feel a sense of pride or celebration about your body?
Until parents and teachers feel enabled to unselfconsciously describe female genitals positively, accurately and without comparison to the male, and until the clitoris can get the status it truly deserves, then women will continue to struggle in naming and experiencing desire.
How sad then, that when asked, certain agony aunts remain struck silent.Tweet
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PinstripesPlus.com: Let me ask you your early impressions about one of the newest pitchers in the organization - Chris Cabrera. Word is he throws pretty hard.
Nardi Contreras: I saw an average fastball. He had been working out for about a month with us at the complex before Instructional League started. By the time I left Instructional League he was pitching in the strike zone, which is very good. The changeup of course needs work and his breaking ball needs work, but it looks like he can spin the ball. It's not a complete curveball right now, it's a breaking ball. He's pitched well. He's a youngster but he looks like he's going to be somebody very interesting for us. He has some upside.
PinstripesPlus.com: I had heard that he had hit as high as 96 MPH. Is that not true?
Contreras: I never saw that but our guns were a little low. It's an average fastball at this time from what I saw. If he's done more than that before I saw him, great. If he's done more than that after I saw him, great.
PinstripesPlus.com: Erick Tapia throws very hard, especially for a lefty. Are his secondary pitches the reason why he's taking a little longer to get here to the United States?
Contreras: No, he has a good changeup. He pitched just one time when I was there at Dominican Instructs. I've seen him throw a plus fastball before. I didn't see it this time but I know he has it. He is still working on improving his breaking pitch.
PinstripesPlus.com: The numbers Juan Marcano put up this year were ridiculous. What can you tell me about where he is in his development?
Contreras: Juan Marcano is very interesting. I saw him when we first signed him and he was in the low-80's with his fastball. Now he shows an average fastball. He spins the ball and he has a changeup. I think he's 18 now and I believe he has a real good chance to come see us next Spring. He's a lefty who has added 8-10 MPH on his fastball, throws strikes, and his delivery is pretty solid.
PinstripesPlus.com: Juan Heredia also put up insane numbers this year. I saw a real good breaking ball from him but the fastball velocity was lacking in my opinion. Do you think he needs to throw harder to have anywhere near the same kind of success over here?
Contreras: Yeah I think he has to gain some more arm strength. I've never seen him throw hard. I do know he can spin the ball. As he fills out he should be able to throw harder.
PinstripesPlus.com: Jose Quintana, another lefty, another set of crazy stats. Did you get to see him?
Contreras: Yes and it was just a fair outing. His stuff was not crisp that day. Besides his fastball he throws a curveball and a changeup. The reports have him better than what I saw of him that day.
PinstripesPlus.com: There seems to be a little something with Victor Beriguete. What are your impressions?
Contreras: He has arm strength. He needs to continue to learn the game of baseball and all of the fundamentals. As his delivery and knowledge improve, his value with improve.
PinstripesPlus.com: Harold Garce on the other hand has some serious arm strength. Last year he walked a gazillion guys but he seems to have made strides, no?
Contreras: Boy does he have arm strength. He's better controlling the baseball so he now has the chance to pitch in the States. He's getting his breaking ball and changeup over the plate, and he throws real hard. His delivery is cleaned up. Are there still inconsistencies? Yeah, but now he has a better chance of throwing the ball over the plate, not in command but he's throwing more strikes. He does some other things well. I saw him do some pickoff moves to first base, short and quick, with good tosses. He's made great improvements and I would think that would help him be considered for coming to the United States.
PinstripesPlus.com: Yobanny Reyes is a little older but he seems to be pretty intriguing. You agree?
Contreras: He has a plus fastball and he shows a quality slider at times. He also showed a quality changeup at times. He has a plus arm, but he has not been able to stay healthy. He's healthy now though and he's one of the top guys I saw during my time in the DR.
PinstripesPlus.com: Of the guys I didn't bring up, was there anybody else who stood out somewhat?
Contreras: Israel Tolentino throws pretty hard too. He needs to continue working with his delivery. Another kid, Charlyn Garcia, has a plus arm. All three pitches are plus, but like Tolentino, comprehension of delivery and release point is not there yet. If you package his three pitches next to any of those other guys, I'm not sure anybody can compete with him.
Bonus Section: Q&A with Nardi Contreras
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text: What Happens on the Internet in One Minute? On December 4, 2015 4 Consider this: Every minute of every day, staggering amounts of data are being generated as consumers connect to, search for, watch, create, download, and shop for content. Making sense of what all this data means is critical for the success of your company or brand. So what are the 3.2 billion people who make up today's global internet population doing online? Business intelligence startup Domo recently released the third installment of their infographic, with 15 mind-blowing statistics for 2015. Read More Larry Kim


text:
|Home > Hamdan
♀ Hamdan
What does Hamdan mean?
Hamdan [ham-dan] as a girls' name is of Arabic origin, and the meaning of Hamdan is "much praise". Feminine of Hamdani. Hamdan is also the name of a tribe in Arabia.
VariationsCREATIVE FORMS
(female) Hadan, Hamsan, ..
(male) Hamgan, Hamton, .. MIDDLE NAME PAIRINGS
Hamdan Miah (H.M.), ..
How popular is Hamdan?
Hamdan is a rare first name for females but a very popular last name for both adults and children (#16489 out of 150436, Top 11%). (2000 U.S. DEMOGRAPHICS)
Hamdan has yet to be recorded in the Top 2000 so far. (2015 U.S. SSA RECORDS)
Similar NamesRecommended names are Adan, Audan, Caelan, Callan, Camaran, Damian, Damyan, Darian▼, Eadan, Eavan, Eman, Haameda, Hadara, Hadasa, Hadee, Hadia, Hadil, Hadjar, Hadly, Hafsah, Haidee, Haifa, Hajna, Hajra, Hajrah, Hala, Halah, Haldana, Haldane, Haldanna (see Haldana), Halea, Halia, Halma, Hamania, Hamida, Hamidah, Hamideh, Hamna, Hamnah, Hanaan, Hanah, Hanan, Hania, Haniah, Hanja, Hanka, Hassana, Hava, Haya, Haydee, Hayfa, Hazal, Heda, Heida, Hema, Holda, Huda, Hulda▼, Huldah, Hyday, Hylda, Hynda, Iman, Janean, Jaylan, Jazan, Kailan, Karan, Kaylan, Maegan▼, Marian▼, Marjan, Maygan, Pagan and Taran. These names tend to be more frequently used than Hamdan.See names in meaning and etymology.


text:
from Hang The Bankers:
There are a stream of videos online of Joe Biden creeping on women, but this time the Vice President has gone too far by sleazing onto a young girl asking her "Do you know how horny I am to have a 13 year old girl stand next to me?"
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Whether it be Jimmy Savile or Jeffrey Epstein, the western establishment is synonymous with mass pedophilia.
Read More @ HangTheBankers.comHelp us spread the ANTIDOTE to corporate propaganda.
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Superdry opens world flagship London store_
Posted on 16th April, by 19 Limited in Point of Purchase, Retail Design, Superdry, Windows.
Regent St
19 have designed and installed in-store unitry for Superdry at their flagship store on Regent St London. VM kits and window displays can be found throughout the store.
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- Misalliance
- Misalliance Mis`al*li"ance, n. [F. m['e]salliance.]
A marriage with a person of inferior rank or social station;
an improper alliance; a mesalliance.
[1913 Webster]
A Leigh had made a misalliance, and blushed A Howard should know it. --Mrs. Browning. [1913 Webster]
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Just 35% of UK consumers believe e-cigarettes safer than normal cigarettes, while 44% unsure and 21% disagree, according to Canadean survey
March 5, 2014
(press release)
– UK consumers are unsure about the safety of e-cigarettes and would like to see more restrictions on advertising and selling. According to a new survey from Canadean Consumer, many believe e-cigarettes contain toxins and harmful ingredients leading to nicotine addiction.
Although e-cigarettes are labelled as "safer" alternative to traditional tobacco products, and as an easy way to quit smoking, a survey by Canadean Consumer finds that Brits are unconvinced about these safety claims. Only 35% believe e-cigarettes are safer than the normal ones, with the rest either unsure (44%) or disagree (21%). While those who smoke e-cigarettes perceive them to be safer (90%), the majority of smokers of normal cigarettes, don't (54%).
Many still think that e-cigarettes contain toxins and harmful ingredients (56%) and believe these can lead to nicotine addiction (42%).
Currently, 4% of the population and 14% of all UK smokers use an e-cigarette. The survey indicate that the market is likely to grow as 10% of smokers are are considering using one in the near future as a means to give up smoking.
The survey also detects a general concern about the way these products are marketed and distributed.
A total of 40% of all adults believe that e-cigarettes glamorise smoking, while 44% believe they could encourage younger people to take up smoking. Some believe that the flavours (38%) and the marketing (35%) of e-cigarettes deliberately appeal to younger people, and 28% want e-cigarettes banned from supermarkets and newsagents.
According to Michael Hughes, Research Manager at Canadean Consumer, "given the infancy of the e-cigarette market, and the fact that there is little research establishing whether such products are safer than normal tobacco products, it would appear that the majority of UK adults are not convinced by their current positioning. While those who use the products deem them safe, it would appear that others are not convinced and are worried about any potentially harmful health benefits and the possible appeal to younger people."
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text:
Mean Value Coordinates
- Angela Dennis
- 2 years ago
- Views:
1 Mean Value Coordinates Michael S. Floater Abstract: We derive a generalization of barycentric coordinates which allows a vertex in a planar triangulation to be expressed as a convex combination of its neighbouring vertices. The coordinates are motivated by the Mean Value Theorem for harmonic functions and can be used to simplify and improve methods for parameterization and morphing. Keywords: barycentric coordinates, harmonic function, mean value theorem, parameterization, morphing. 1. Introduction Let v 0, v 1,..., v k be points in the plane with v 1,..., v k arranged in an anticlockwise ordering around v 0, as in Figure 1. The points v 1,..., v k form a star-shaped polygon with v 0 in its kernel. Our aim is to study sets of weights λ 1,..., λ k 0 such that λ i v i = v 0, (1.1) λ i = 1. (1.2) Equation (1.1) expresses v 0 as a convex combination of the neighbouring points v 1,..., v k. In the simplest case k = 3, the weights λ 1, λ 2, λ 3 are uniquely determined by (1.1) and (1.2) alone; they are the barycentric coordinates of v 0 with respect to the triangle [v 1, v 2, v 3 ], and they are positive. This motivates calling any set of non-negative weights satisfying ( ) for general k, a set of coordinates for v 0 with respect to v 1,..., v k. There has long been an interest in generalizing barycentric coordinates to k-sided polygons with a view to possible multisided extensions of Bézier surfaces; see for example [ 8 ]. In this setting, one would normally be free to choose v 1,..., v k to form a convex polygon but would need to allow v 0 to be any point inside the polygon or on the polygon, i.e. on an edge or equal to a vertex. More recently, the need for such coordinates arose in methods for parameterization [ 2 ] and morphing [ 5 ], [ 6 ] of triangulations. Here the points v 0, v 1,..., v k will be vertices of a (planar) triangulation and so the point v 0 will never lie on an edge of the polygon formed by v 1,..., v k. If we require no particular properties of the coordinates, the problem is easily solved. Because v 0 lies in the convex hull of v 1,..., v k, there must exist at least one triangle T = [v i1, v i2, v i3 ] which contains v 0, and so we can take λ i1, λ i2, λ i3 to be the three barycentric coordinates of v 0 with respect to T, and make the remaining coordinates zero. However, these coordinates depend randomly on the choice of triangle. An improvement is to take an average of such coordinates over certain covering triangles, as proposed in [ 2 ]. The resulting coordinates depend continuously on v 0, v 1,..., v k, yet still not smoothly. The 1
2 Figure 1. Star-shaped polygon. main purpose of this paper is to address this latter problem. We derive coordinates which depend (infinitely) smoothly on the data points v 0, v 1,..., v k through a simple algebraic formula. Several researchers have studied closely related problems [ 9,11,14,15 ]. In the special case that the polygon v 1,..., v k is convex, Wachspress [ 14 ] found a solution in which the coordinates can be expressed in terms of rational polynomials, λ i = w i k j=1 w, w i = j A(v i 1, v i, v i+1 ) A(v i 1, v i, v 0 )A(v i, v i+1, v 0 ) = cot γ i 1 + cot β i v i v 0 2, (1.3) where A(a, b, c) is the signed area of triangle [a, b, c] and γ i 1 and β i are the angles shown in Figure 1. The latter formulation in terms of angles is due to Meyer, Lee, Barr, and Desbrun [ 9 ]. Of course these coordinates depend smoothly on the data points v 0, v 1,..., v k and are therefore suitable when the polygon is convex. However, for star-shaped polygons the coordinate λ i in (1.3) can be negative, and, in fact, will be so precisely when γ i 1 +β i > π. Another set of previously found weights can be expressed as λ i = w i k j=1 w, w i = cot β i 1 + cot γ i. (1.4) j These weights arise from the standard piecewise linear finite element approximation to the Laplace equation and appear in several books on numerical analysis, e.g. [ 7 ], and probably go back to the work of Courant. They have since been used in the computer graphics literature [ 10 ], [ 1 ]. However, for our purposes these weights suffer from the same problem as the last ones, namely that they might be negative. The weight λ i is negative if and only if β i 1 + γ i > π. Another possible set of coordinates might be Sibson s natural neighbour coordinates [ 11 ], if we treated the points v 1,..., v k as a set of scattered data points. However, despite various other good properties, Sibson s coordinates, like those of [ 2 ], suffer from being defined piecewise, and have in general only C 1 dependence on the point v 0. Moreover, several of Sibson s coordinates might be zero, since the only non-zero ones would correspond to Voronoi neighbours of v 0. 2
3 2. Mean Value Coordinates We now describe a set of coordinates which satisfy all the properties we would like. Let α i, 0 < α i < π, be the angle at v 0 in the triangle [v 0, v i, v i+1 ], defined cyclically; see Figure 1. Proposition 1. The weights λ i = w i k j=1 w j are coordinates for v 0 with respect to v 1,..., v k., w i = tan(α i 1/2) + tan(α i /2), (2.1) v i v 0 As will be explained in Section 3, these weights can be derived from an application of the mean value theorem for harmonic functions, which suggests calling them mean value coordinates. They obviously depend smoothly on the points v 0, v 1,..., v k. Proof: Since 0 < α i < π, we see that tan(α i /2) is defined and positive, and therefore λ i is well-defined and positive for i = 1,..., k, and by definition the λ i sum to one. It remains to prove (1.1). From (2.1), equation (1.1) is equivalent to w i (v i v 0 ) = 0. (2.2) We next use polar coordinates, centred at v 0, so that Then we have and equation (2.2) becomes or equivalently v i = v 0 + r i (cos, sin ). v i v 0 v i v 0 = (cos, sin ), and α i = +1, (tan(α i 1 /2) + tan(α i /2))(cos, sin ) = 0, tan(α i /2)((cos, sin ) + (cos +1, sin +1 )) = 0. (2.3) To establish this latter identity, observe that 0 = = = 2π 0 (cos θ, sin θ) dθ (cos θ, sin θ) dθ sin(+1 θ) (cos, sin ) + sin(θ ) (cos +1, sin +1 ) dθ, sin α i sin α i 3 (2.4)
4 the last line following from the addition formula for sines. Since also and sin(+1 θ) dθ = equation (2.4) reduces to equation (2.3). sin(θ ) dθ = 1 cos α i, (2.5) tan(α i /2) = 1 cos α i sin α i, (2.6) Not only are these coordinates positive, but we can bound them away from zero. This might be useful when considering the conditioning of the linear systems used in [ 2,5,6 ]. If L = max i v i v 0, L = min i v i v 0 and α = max i α i, α = min i α i, then from (2.1) we have 2 tan(α /2) L w i 2 tan(α /2), L and where 1 Ck λ i C k, (2.7) C = L tan(α /2) L tan(α /2) 1. The inequality (2.7) becomes an equality when C = 1 which occurs when v 1,..., v k is a regular polygon and v 0 is its centre. 3. Motivation The motivation behind the coordinates was an attempt to approximate harmonic maps by piecewise linear maps over triangulations, in such a way that injectivity is preserved. Recall that a C 2 function u defined over a planar region Ω is harmonic if it satisfies the Laplace equation u xx + u yy = 0. Suppose we want to approximate the solution u with respect to Dirichlet boundary conditions, u Ω = u 0, by a piecewise linear function u T over some triangulation T of Ω. Thus u T will be an element of the spline space S1(T 0 ). The finite element approach to this problem is to take u T to be the unique element of S1(T 0 ) which minimizes Ω u T 2 dx subject to the boundary conditions. As is well known, this leads to a sparse linear system in the values of u T at the interior vertices of the triangulation T. To be precise, suppose 4
5 v 0 in Figure 1 is an interior vertex of the triangulation. As described in several books on numerical analysis, the equation associated with v 0 can be expressed as u T (v 0 ) = λ i u T (v i ), (3.1) where λ i is given by equation (1.4). Suppose now that we use this method component-wise to approximate a harmonic map φ : Ω lr 2, that is a map φ = (φ 1, φ 2 ) for which both φ 1 and φ 2 are harmonic functions, by a piecewise linear map φ T : Ω lr 2. We would like the map φ T to be injective and a sufficient condition has been derived in [ 13 ] and [ 4 ]: if φ T is a convex combination map, i.e. at every interior vertex v 0 of T, we have φ T (v 0 ) = λ i φ T (v i ), (3.2) for some positive weights λ 1,..., λ k which sum to one, and if φ T maps the boundary T homeomorphically to the boundary of a convex region, then φ T is one-to-one. From this point of view, the standard finite element approximation φ T has a drawback: the theory of [ 13 ] and [ 4 ] cannot be applied. The map φ T will not in general be a convex combination map because the weights λ i in (1.4) can be negative which can lead to foldover in the map (an example is given in [ 3 ]). This motivates, if possible, approximating a harmonic map φ by a convex combination map φ T, i.e., one with positive weights in (3.2). Consider the following alternative discretization of a harmonic function u. Recall that harmonic functions satisfy the mean value theorem. The mean value theorem comes in two forms. Circumferential Mean Value Theorem. For a disc B = B(v 0, r) Ω with boundary Γ, u(v 0 ) = 1 u(v) ds. 2πr Γ Solid Mean Value Theorem. u(v 0 ) = 1 πr 2 u(v) dx dy. This suggests finding the element u T of S1(T 0 ) which satisfies one of the two mean value theorems locally at every interior vertex v 0 of T. We will concentrate on the first version and demand that u T (v 0 ) = 1 u T (v) ds, (3.3) 2πr for r sufficiently small that the disc B(v 0, r) is entirely contained in the union of the triangles containing v 0 ; see Figure 2. It turns out that this equation can be expressed in the form of (3.1) where the weights λ i are those of (2.1), independent of the choice of r. To see this, consider the triangle T i = [v 0, v i, v i+1 ] in Figure 2 and let Γ i be the part of Γ contained in T i. 5 B Γ
6 Γ v 0 v v i+1 v i Figure 2. Circle for the Mean Value Theorem. Lemma 1. If f : T i lr is any linear function then ( f(v) ds = rα i f(v 0 ) + r 2 f(vi ) f(v 0 ) tan(α i /2) + f(v ) i+1) f(v 0 ). (3.4) Γ i v i v 0 v i+1 v 0 Proof: We represent any point v Γ i in polar coordinates with respect to v 0, i.e., and we let Then v = v 0 + r(cos θ, sin θ), v j = v 0 + r j (cos θ j, sin θ j ), j = i, i + 1. Γ i f(v) ds = r Since f is linear, and using barycentric coordinates, we have f(v) dθ. (3.5) f(v) = f(v 0 ) + λ 1 (f(v i ) f(v 0 )) + λ 2 (f(v i+1 ) f(v 0 )), (3.6) where λ 1 = A 1 /A and λ 2 = A 2 /A and A 1 and A 2 are the areas of the two triangles [v 0, v, v i+1 ], [v 0, v i, v] and A the area of the the whole triangle T i. Using trigonometry we have and A = 1 2 r ir i+1 sin α i, A 1 = 1 2 rr i+1 sin(+1 θ), A 2 = 1 2 rr i sin(θ ), λ 1 = r sin(+1 θ) r i sin α i, λ 2 = r sin(θ ) r i+1 sin α i. (3.7) It follows that the substitution of the expression for f(v) in (3.6) into equation (3.5) and applying the identities ( ) leads to equation (3.4). It is now a simple matter to show that equation (3.3) reduces to the linear combination (3.1) with the coordinates λ i of (2.1). 6
7 Proposition 2. Suppose the piecewise linear function u T : Ω lr satisfies the local mean value theorem, i.e., for each interior vertex v 0, it satisfies equation (3.3) for some r > 0 suitably small. Then u T (v 0 ) is given by the convex combination in (3.1) with the weights λ i of (2.1). Proof: Equation (3.3) can be written as u T (v 0 ) = 1 2πr which, after applying Lemma 1 to u T, reduces to 0 = Γ i u T (v) ds, ( ut (v i ) u T (v 0 ) tan(α i /2) + u ) T (v i+1 ) u T (v 0 ), v i v 0 v i+1 v 0 which is equivalent to equation (3.1) with the weights of (2.1). We now notice that Proposition 1 follows from Proposition 2 due to the simple observation that linear bivariate functions are trivially harmonic. It is not difficult to show that Proposition 2 remains true when the solid mean value theorem is used instead of the circumferential one, the main point being that λ 1 and λ 2 in equation (3.7) are linear in r. We remark finally that it is well known that the standard finite element approximation u T converges to u in various norms as the mesh size of the triangulation T tends to zero, under certain conditions on the angles of the triangles. Initial numerical tests suggest that the mean value approximation does not converge to u in general. An interesting question for future research is whether it is in fact possible to approximate a harmonic map by a convex combination map over an arbitrary triangulation with sufficiently small mesh size. 4. Applications In the parameterization method of [ 2 ], the triangulation is a spatial one, so that the vertices v 0,..., v k are points in lr 3. However, the mean value coordinates can be applied directly to the triangulation; we simply compute the coordinates λ i of equation (2.1) directly from the vertices v 0,..., v k lr 3. The numerical example of Figure 3 shows the result of parameterizing a triangle mesh (3a) and mapping a rectangular grid in the parameter plane back onto the mesh. The three parameterizations used are uniform (3b) (i.e. Tutte s embedding), shape-preserving (3c), and mean value (3d). In this example the mean value parameterization looks at least as good as the shape-preserving one of [ 2 ]. In addition, the mean value coordinates are faster to compute than the shape-preserving coordinates, and have the theoretical advantage that the resulting parameterization will depend smoothly on the vertices of the triangulation. Mean value coordinates can also be used to morph pairs of compatible planar triangulations, adapting the method of [ 5 ]. Such a morph will depend smoothly on the vertices of the two triangulations. Surazhsky and Gotsman found recently that mean value morphs are visually smoother than previous morphs; see [ 12 ] for details. 7
8 Figure 3. Comparisons from left to right: (3a) Triangulation, (3b) Tutte, (3c) shape-preserving, (3d) mean value 5. Final remarks When k = 3 the mean value coordinates, like Wachspress s coordinates, are equal to the three barycentric coordinates, due to uniqueness. When k = 4 the mean value coordinates and Wachspress coordinates are different in general. For example, when the points v 1, v 2, v 3, v 4 form a rectangle, the Wachspress coordinates are bilinear, while the mean value coordinates are not. If the points v 1,..., v k form a convex polygon, the mean value coordinates are defined for all points v 0 inside the polygon, but due to the use of the angles α i in formula (2.1), it is not obvious whether the coordinates can be extended to the polygon itself. Though this paper was not intended to deal with this issue, it would be important if these coordinates were to be used for generalizing Bezier surfaces, as in [ 8 ]. For Wachspress s coordinates (1.3), this is not a problem because by multiplying by the product of all areas A(v j, v j+1, v 0 ), they have the well-known equivalent expression λ i = w i k j=1 w j, w i = A(v i 1, v i, v i+1 ) j i 1,i A(v j, v j+1, v 0 ). It turns out that the mean value coordinates can also be continuously extended to the polygon itself. Moreover, like Wachspress s coordinates, they are linear along each edge of the polygon and have the Lagrange property at the vertices: if v 0 = v i then λ i = 1 and λ j = 0 for j i. A proof of this as well as other properties of these coordinates will appear in a forthcoming paper. Acknowledgement. I wish to thank Mathieu Desbrun for supplying the data set for the numerical example and the referees for their comments. This work was partly supported by the European Union project MINGLE, contract num. HPRN-CT
9 References 1. M. Eck, T. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, and W. Stuetzle, Multiresolution analysis of arbitrary meshes, Computer Graphics Proceedings, SIGGRAPH 95 (1995), M. S. Floater, Parametrization and smooth approximation of surface triangulations, Comp. Aided Geom. Design 14 (1997), M. S. Floater, Parametric tilings and scattered data approximation, Intern. J. Shape Modeling 4 (1998), M. S. Floater, One-to-one piecewise linear mappings over triangulations, to appear in Math. Comp. 5. M. S. Floater and C. Gotsman, How to morph tilings injectively, J. Comp. Appl. Math. 101 (1999), C. Gotsman and V. Surazhsky, Guaranteed intersection-free polygon morphing, Computers and Graphics 25-1 (2001), A. Iserles, A first course in numerical analysis of differential equations, Cambridge University Press, C. Loop and T. DeRose, A multisided generalization of Bézier surfaces, ACM Trans. Graph. 8 (1989), M. Meyer, H. Lee, A. Barr, and M. Desbrun, Generalizing barycentric coordinates to irregular n-gons, preprint, Caltech, U. Pinkall and K. Polthier, Computing Discrete Minimal Surfaces and Their Conjugates. Exp. Math. 2 (1993), R. Sibson, A brief description of natural neighbour interpolation, in Interpreting Multivariate data, Vic Barnett (ed.), John Wiley, Chichester, 1981, V. Surazhsky and C. Gotsman, Intrinsic morphing of compatible triangulations, preprint. 13. W. T. Tutte, How to draw a graph, Proc. London Math. Soc. 13 (1963), E. Wachspress, A rational finite element basis, Academic Press, J. Warren, Barycentric coordinates for convex polytopes, Adv. Comp. Math. 6 (1996), Michael S. Floater SINTEF Postbox 124, Blindern 0314 Oslo, NORWAY 9
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Quinta do Noval Vintage Port 2004
Winemaker Notes
The wine was made entirely from grapes of QUINTA do NOVAL –Vale de Mendiz – Pinhão - in the heart of the Douro valley.
This wine is produced exclusively from selected plots on the Quinta and trodden by foot in our lagares and is only declared when various factors combine to make an exceptional year. Intensely powerful and concentrated, this wine is adapted to age in bottle, developing over years, releasing a complex variety of flavors.
Critical Acclaim
The 2004 Vintage Port "Nacional" is a declared Vintage Port aged for 18 months in wooden casks. An old vines field blend, it comes in at just 79 grams per liter of residual sugar, rather dry on paper and in perception. Typically graceful and leaning on elegance in the mid-palate, it is laced with some herbs and rhubarb up front. It is very aromatic and it opens with a distinctive flavor profile compared to others in the Vintage Port lineup that I had open. In the mid-palate, it seems like a very fine table wine in some ways, showing remarkable finesse and focus, and a rather dry finish. It is completely closed and gives little. The structure and the underlying concentration are all obvious, though. They are classic and they make this a cellar candidate from the get-go. Despite being over a decade old, this is tight, firm, powerful and too young. After playing around with it for several days, I saw it finally begin to blossom, to show fresh fruit and something besides austerity. By the end of the week, it was far more evolved, showing its wonderful concentration, increasingly interesting intensity of flavor and a long finish. It is never obvious, but it is always quite gorgeous. This is an old school Port on an old school schedule. It needs cellaring. If extended aeration makes it at least a bit approachable, it is not exactly showing all it has and all it can be. Be patient--even if it is more approachable in a decade or so, that won't be even close to its peak. If you're patient and young, give it a try around 2040.
With its inky dark color, this is darkly dense, a huge mouthful of black fruits and dark, initially medicinal flavors and firm, concentrated tannins. It will age 20 years at least, but its sweet, ripe fruit suggest it could be drunk much earlier than that.
Has lots of grapey, stemmy, rich aromas. Full-bodied, lightly sweet and chewy, with plenty of grip. Layered and rich. Serious and structured. All there for the vintage. Best after 2017.
This blend is extreme in its structural tension, a vast amount of blackberry and datelike fruit pulled in the direction of searingly dry, mineral tannin. The alcohol increases that impression of austerity. Bottle age should relieve some of the tension; for best enjoyment beyond 15 years from the vintage.
Quinta do NovalView all wine
The Napa Valley and Cabernet Sauvignon are so intrinsically linked...
The [Napa Valley] and [Cabernet Sauvignon] are so intrinsically linked that it is difficult to discuss one without thinking of the other. Although Cabernet has many important outposts throughout the wine world, nowhere else has it achieved such success (and, at the highest end, commanded such lofty prices) than in Napa. Here, it is responsible for bold, opulent, and dark-fruited wines with grippy tannins and a healthy dose of alcohol. The best examples can age for decades. Each of Napa's smaller sub-AVAs imparts a different character to Cabernet, such as [Rutherford's] famous dust or [Stags Leap District's] tart cherry flavors.


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At Miami's Trayvon Protests, Confusion Over Verdict and A Plea For Justice (Photos)
Dozens of news vans surrounded Arthur Jackson III's church on Sunday, but the TV crews didn't stick around long when the pastor announced that Trayvon Martin's mother wasn't coming. Sybrina Fulton didn't show up at the Antioch Missionary Baptist Church's services because she was still processing George Zimmerman's acquittal.
The church was filled to capacity and its main stage undulated under a filter of waving, cardboard fans. Jackson III lectured in his Kobe Bryant tee, comparing himself to Job, Christianity's patron saint of unanswered questions. "To be honest, Church, I don't have an answer," he said. "We can't trust lawyers, but we can still trust the Lord."
See also: DOJ's Trayvon Probe Still "Open" As Thousands Urge Civil Rights Charges For Zimmerman
A short video segment played during the service called "Antioch News Network" did not mention George Zimmerman's acquittal, which would lead to large protests in New York and Los Angeles later that day.
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And outside the building's front doors, Steven Roundtree was just trying to reassure the young kids he mentors. He was recently released from prison after serving a year for cocaine-related charges and now assists with the church's altar boy program.
As six youths in white polo shirts horsed around outside, arm wrestling or giggling, Roundtree didn't know what to tell them. Some said they had no opinion on the trial. "He'll get what he has coming," he told the wide-eyed kids who were waiting for some Honey Buns, their morning snack, to make it through the policemen with walk-talkies and the lingering reporters dictating notes over cell phones.
After the treats made it to the the kids, Roundtree relaxed. He admitted he worried about violence after the Martin ruling: "You let pressure build up in the bottle, and it's going to explode."
Terrel Gay, an eight-year-old, unwrapped his snack while telling the Riptide that he remembers hearing the verdict on the radio with his mom, and that all she said was, "He shouldn't have shot that boy."
Later on Sunday, a few hundred people gathered around 6 p.m. to protest the verdict at Bayfront Park, including several children around Terrel's age holding signs. Zeevah Verond inspired a feeding frenzy of reporters as she barely held onto a sign that was bigger than her. Later, a nine-year-old named Clarissa stole the show, giving an impassioned speech in a fedora.
"A trained doctor said he only needed bandaids," she said of Zimmerman. "How did he get away with it because he's white? It's just not fair."
A woman behind her screamed: "That's coming from the youth, and adults can't see that." Later, parents picked up their sign-holding children and marched them north on Biscayne toward the Freedom Tower. Just before 7:30 it started to rain and the protest scattered.
Click through for photos from the church service and the Bayfront protest.
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ORLANDO (AP) PGA Tour pro Arjun Atwal estimated he was going 80 mph in a 45 mph zone just before a car speeding next to him flipped and killed its driver, documents from the Florida Highway Patrol show.
Witnesses have said Atwal, 34, and John N. Park, the 48-year-old who died, were street racing on March 10. No criminal charges have been filed, and troopers said Thursday it would be another month before the investigation is complete.
The highway patrol still hasn't determined independently how fast Atwal and Park were going, but a preliminary report showed the golf pro estimated he was 35 mph over the limit. Witnesses said the two were going 100 mph.
Robert Kreusler, CEO of Blue Giraffe, the sports management company representing Atwal, would not comment on the estimated speed. However, Kreusler said: "Arjun categorically denies that he was involved in any kind of racing or street racing."
Both drivers were in expensive, high-performance cars capable of incredible speeds: Atwal in a 2006 BMW M6 with a 500-horsepower engine, and Park in a 2006 Mercedes CLS 55 AMG with a 469-horsepower engine, FHP documents and vehicle registration information show.
Trooper Kim Miller said there were no signs the cars ever touched each other. Somehow, Park's car lost control, veering off the road into a fence and small tree and flipping up to eight times, she said.
"You could actually see the spots that were dug in into the grass," Miller said. "As he's going end-over-end the car is just coming apart. It was a very violent crash."
After Park lost control, Atwal veered the other way off the divided four-lane highway, across the median and into the opposite lane of traffic, according to the FHP accident diagram. He did not hit any vehicles there, either, Miller said.
Miller said Atwal wasn't tested for drugs or alcohol because it was obvious to crime scene investigators he wasn't impaired. She said Park also was not believed to have been drinking.
Atwal's representatives have said he did not previously know Park and was not at fault. The two were driving on a suburban road connecting the Walt Disney World resorts and upscale communities west of Orlando.
Atwal joined the U.S. PGA tour in 2003 as its first Indian-born player. He finished 140th last year on the money list, failing to keep full-exempt status.
Copyright 2007 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.
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Alexandros Chrysidis is a Greek Music Producer.
His record accomplishments include 9 multiplatinum and 4 gold albums.
He works at the biggest studio complex in Greece, the Sierra Studios.
In his 16 years of expertise, Alexandros has worked on more than 130 albums, producing 34 of them. His collaborations include Vangelis Papathanasiou, Young Buck (Akon's song), Ron Saint Germain, Eurovision, many major Greek artists (Mario Frangoulis, Sakis Rouvas, Despina Vandi, Tamta), plus recordings for Disney, Dreamworks and Warner Bros.
He is considered to bring luck to productions since several debut albums went gold and multiplatinum. Kissa Zoe is one of 20 people in the world that won the Julliard scholarship after working with Alexandros.
Devoting himself to the industry, he has produced albums for all major labels, such as EMI, Sony, Universal and many more.
Send me a note through the contact button above.
My credits include
- Vangelis
- Young Buck
- Akon
- Mario Frangoulis
- Sakis Rouvas
- Koza Mostra
- Beggars
- Eurovision
- Despina Vandi
- Phoebus
- Thorn
- Rot
- Vasilis Papakonstantinou
- Sokratis Malamas
- Monika
- Mazoo and the Zoo
- Giorgos Margaritis
- Giorgos Ntalaras
- Kaiti Garbi
- Maplerun
- Cyanide4
- Thanos Petrelis
- Dionysis Savvopoulos
- Tamta
- Xana Zoo
- My Excuse
- Ron Saint Germain
Gear highlights
- Neve 1073
- Neve 2254
- Bricasti M7
- Urei 1176
- Avalon 2044
- Lexicon 224X
- Teletronix LA3A
- Teletronix LA2A
- Tubetech EQ1A
- Eventide H3500
- TC Electronics 2290
- Pultec EQ
- Pro Tools HD
Terms of Service
Revisions until you are happy.
Reviews of Alexandros Chrysidis, Sierra Studios
As usual,Alexandros knows his stuff and never disappoints. Love his work
Alexandros advice was very honest and on point. He worked on the track very quickly and he really improved the vocals. Recommended!
people like Alexandros are a rarity in this business. his devotion and professionality are simply stunning. if you are looking for a sound engineer who makes literally miracles, Alexandros is THE MAN you need!
Working with Mr. Chrysidis was an absolute pleasure, and I could not have chosen someone better to master my debut album! He is a true professional, and his work shows the passion he has for what he does. He really brought my music to life, and I am incredibly grateful for his attentiveness and willingness to work with me throughout the process.
Excellent! Excellent! Excellent! As always my go to guy. Im one of those people if you find something that works than work it. Thanks for excellent service. Highly recommended by me.
Working with Alexandros was such the amazing experience! He empowers your work! So fully talented and skilled in his craft, yet so approachable. He develops keen understanding of the project and the work it needs to bloom to its full potential. Alexandros's communication skills are beautifully on par and he is prompt!
Very great engineer. Made my $80 meteor mic sound like a Sony c800g!! Absolutely fascinated with his work. Definietly recommended for mixing/mastering tracks
It was really really great working with Alexandros. He knows his stuff and was overly satisfied with the results I got. I have to work with him again. I keep rewinding the track because its so great.
Alexandros did mastering for my new remix of famous russian singer. Again everything was perfect. We quickly found the top sound for that song. And the result was outstanding! Great job!
Another great work with Alexandros. True quality and great professionalism in the mastering service. Recommend him for everybody! :)
Alexandros is a very good and professional engineer. after just one review , my track was ready for radio play. Will work with him again.
Excellent work , as always! Thank you Alexandros :)
Alexandros did a great job! He did some kind of new way of mastering, but, i gotta say, that i was impressed by the quality of sound. He's total professional, and i'm so happy with the result :) big respect to Greece!))
Alexandros, thank you for our long time cooperation with the successful projects "Mazoo and the Zoo" and "XanaZoo" that were beloved by millions Greek children.
Vital and joyful was also our cooperation with the TV ads of "Ifantis" that increased the sales of the products and also gained millions of YouTube views.
Looking forward to create more!
Excellent work excellent communication recieve work in timely manner everthing you would want and definitely put the final touches on my work
Excellent work excellent communication recieve work in timely manner everthing you would want and definitely put the final touches on my work
Excellent work excellent communication recieve work in timely manner everthing you would want and definitely put the final touches on my work
Alexandros is an expert in his craft and he will work with your price. It's not everyday you meet someone who is born to do a job like this but you can sense his passion for his work. He works fast and will communicate with you keeping you in the loop. I am very satisfied with his product! Do yourself a favor and hire this guy!
Alex is GREATEST mixing and masterinig genius!!! Tnx for amazing advices and collaboration. Cheers / BENI & NON STOP
Very efficient and professional, Alex understood what I was trying to do and used some interesting tricks to strike a good balance between my ideas and how they would translate to the real world.
Alex is a fantastic record producer and recording engineer. It is always a pleasure to work with him.


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News from Mathnasium of Westchase
Mathnasium and the Summertime - Perfect Pairing
Apr 4, 2017
We've had several parents ask us "do we still come to Mathnasium in the summer?" The answer is most emphatically "YES!". The Mathnasium method is most powerful when executed in an environment focused purely on it, without the pressures of homewo...
Mathnasium of Westchase Gets Mention in Tampa Bay Times as New Business
Sep 4, 2015
Tampa Bay Times North Tampa section has a nice little article about our new Mathnasium in Westchase. Check out the direct link on their site at http://www.tampabay.com/news/mathnasium-ready-for-mental-workouts/2244219
Showing 2 records out of 2 total.
Check here for Weather Closures.
July 6, 2017
I have seen a lot of improvement in my daughter in my daughter division and multiplication also subtraction
July 4, 2017
I liked that a plan was made up of the areas my daughter needed help in and that they gave her new ways to figure out problems that made it easier for her.Individual attention is great.
July 1, 2017
Priya Krishan
Great team, wonderful teaching, have full confidence on this team that my daughter has improved a lot.
Mathnasium of Westchase Reviews
July 6, 2017
I have seen a lot of improvement in my daughter in my daughter division and multiplication also subtraction
July 4, 2017
I liked that a plan was made up of the areas my daughter needed help in and that they gave her new ways to figure out problems that made it easier for her.Individual attention is great.
July 1, 2017
Priya Krishan
Great team, wonderful teaching, have full confidence on this team that my daughter has improved a lot.
May 10, 2017
I like the changes. Robin is a big improvement.
April 15, 2017
Michelle Blalock
No more stress!!
April 1, 2017
We loved the teachers and Michelle!!! He could not wait to come!
March 20, 2017
Geisa Perez
My son loves math tutoring very much. He has learn a lot of things in his short time.
March 17, 2017
My daughter Loved Mathnasium! During my daughters time at Mathnasium her confidence boosted 100% as well as her grades. We are truly grateful! Thank you
March 4, 2017
Marco Lean
My daughter was struggling with advanced Algebra, she was stressed out and ask for help. The guys at mathnasium sat down with her and took the stress right out of her mind. She is improving every week and I have no doubt her grades will go up
February 23, 2017
Good. The boys miss doing the math games prior to starting the lesson. They liked these to help them get focused.
Response From Mathnasium of Westchase
February 27, 2017Hi Coree, We still do warm-ups but we're trying to tie them closer to truly warming up their minds for the lesson. The games were starting to get away from that goal. That said we're still trying to make them interesting so they are truly warmed up. ~Andrew
February 2, 2017
As always, we are extremely pleased with the staff and all of their hard work! Would highly recommend to anyone.
January 26, 2017
Adding the floor coordinator role to Mathnasium is a brilliant idea! Michelle has succeeded in creating a cheerful and friendly environment for both kids and parents. She keeps the place organized and ensures that kids get in and out in a timely manner.
January 11, 2017
Sarika Dorairaj
I have been very pleased with the education and attention Tulasi is getting there. Math is gradually becoming her favorite subject.
January 10, 2017
My daughter loves going to Mathnasium!! She said the instructors are great and they teach math in a way that she understands!! She is constantly encouraging all of her friends to attend Mathnasium.
November 9, 2016
Our son Justin's grades have improved significantly in a short period of time. We are currently pleased with the results.
November 9, 2016
You teach very well ,Thank you
November 2, 2016
It has only been a month since my daughter is attending.She tells me she likes it there.I would need some more time to really see her progress.
October 11, 2016
Michelle Blalock
Even though they didn't have school today, they asked me if they COULD go to Mathnasium!! Happy kids and no homework tears...what more could you ask for???
September 20, 2016
Subha Thirugnanam
It has been a great experience with MAthnasium. My son is a 10th grader and he has been with MAthnasium over a year. This year we also started For my daughter . She loves it. We love the fact that the kids are assessed And the program is customized for each kid and focuses more on the gaps .
September 1, 2016
Our children have really enjoyed the individualized attention that Mathnasium gives. They make Math fun!
August 27, 2016
My son is learning a lot even if he doesn't think so. But, he sees that it is showing in his homework and classwork.
August 22, 2016
We couldn't be happier!!
August 9, 2016
Children have enjoyed the program. Instructors are very nice.
July 25, 2016
Krish does not resist coming to Mathnasium! He enjoys coming to Mathnasium every day. The staff is amazing and diligent. I enjoy hearing about the progress Krish is making and look forward to many more advancements for Krish.
July 21, 2016
Susan Park
My son had 8 days to get prepared to retake his math test that he failed getting only 10 questions out of 50 correct. After going there for 8 sessions he retook the test and got 31 correct. That is a huge accomplishment as he has always struggled with math. I can't wait to see how much better he does as he continues to go there next school year! Thank you for helping my son!!
May 23, 2016
Melissa Zeller
My daughter did not want to go to the initial consultation and now she wants to go everyday. The instructors are great and she has really gained confidence in Math. I would highly recommend Mathnasium of Westchase to anyone that has a child that is struggling in this subject.
May 15, 2016
We like the program very much!
April 22, 2016
My daughter. Leaves with confidence and feels the challenges ahead will be simple as long as she's got Mathnasium on her side.
April 8, 2016
Kim Shaffer
My son was failing in Algebra 1. He thought he had a good understanding of what he was learning in school, but his test scores did not reflect that. When he was evaluated by the Mathnasium staff, we found he didn't have a grasp on some of the math concepts he had learned in previous years. Over the last 6 weeks, the tutors have been working with him on those concepts and reinforcing what he is currently learning in Alegebra 1. He is feeling more confident and his grades have improved. He finished his 3rd Qtr semester with a B!
February 9, 2016
Excellent program!
February 7, 2016
December 15, 2015
Great experience this far and would be happy to refer friends.
December 10, 2015
Jennifer Bartlett
My son improved his math grade from a D to a B in one quarter and the best part is that he likes it. He says Marhnesium is fun!
December 10, 2015
I was worried that my HS student daughter would not benefit from your program. The open atmosphere and the amount of elementary school children did concern me. We have found that the later hours are best. Fewer younger children and quieter setting. The tutors are knowledgeable and truly excited about helping her. In just a few weeks she has a better handle on her classroom material.
December 3, 2015
Very helpful staff, professional and flexible .. Love the concept .
December 3, 2015
Jack's grades are improving and he really likes the tutors.
November 23, 2015
My son really feels comfortable and open to learn math either by the tutors explaining the concept again or in a different way. His homework is getting completed much more effectively and he understands it better and is happier for it.
November 14, 2015
My son didn't enjoyed math that much before joining the Mathnasium Westchase, after just one session he really loved it there and he is looking forward to the next day.
November 13, 2015
My kid looks forward to going to Mathanasium. The instructors are very nice, friendly and make math fun.
Mathnasium and the Summertime - Perfect Pairing
Apr 4 2017
We've had several parents ask us "do we still come to Mathnasium in the summer?" &n...
Mathnasium of Westchase Gets Mention in Tampa Bay Times as New Business
Sep 4 2015
Tampa Bay Times North Tampa section has a nice little article about our new Mathnasium in Westcha...


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Kolkata | New Zealand were 128 for seven in their first innings in reply to India's 316 all out on the second day the second cricket Test at Eden Gardens, here today.
Brief Scores:
India 1st innings: 316
New Zealand: 128 for seven in 34 overs (Luke Ronchi 35, Ross Taylor 36; Bhuvneshwar Kumar 5/33).
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Description: 'Instantly the spirit of hell awoke in me and raged...I was suddenly struck through the heart by a cold thrill of terror.' Stevenson's short novel, published in 1886, became an instant classic. It was a Gothic horror that originated in a feverish nightmare, whose hallucinatory setting in the murky back streets of London gripped a nation mesmerized by crime and violence. The respectable doctor's mysterious relationship with his disreputable associate is finally revealed in one of the most original and thrilling endings in English literature. In addition to Jekyll and Hyde, this edition also includes a number of short stories and essays written by Stevenson in the 1880s, minor masterpieces of fiction and comment: 'The Body Snatcher', 'Markheim', and 'Olalla' feature grave-robbing, a sinister double, and degeneracy, while 'A Chapter on Dreams' and 'A Gossip on Romance' discuss artistic creation and the 'romance' form. Appendixes provide extracts from contemporary writings on personality disorder, which set Stevenson's tale in its full historical context.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $7.95Edition: 2ndCopyright year: 2006Publisher: Oxford University Press, IncorporatedPublication date: 6/15/2006Binding: PaperbackPages: 256Size: 5.00" wide x 7.50" long x 0.75" tall Weight: 0.770Language: English
Roger Luckhurst is Professor of Modern and Contemporary Literature at Birkbeck College, University of London, UK.
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Pipe Mrkr, Non-Potable Water, 8 In or Grtr
BRADY| Zoro #: G0108656| Mfr #: 7203-1HV
Zoro #: G0108656Mfr. Part #: 7203-1HV
$4.32 /ea
Orders over $50.00 ship free. DetailsStandard ground shipping
Technical Specifications
|Zoro #: G0108656 Mfr #: 7203-1HV
|Language: English
|Indoor/Outdoor Usage: Indoor/Outdoor
|Legend Alpha Range: L to O
|Item: Pipe Marker
|Legend: Non-potable Water
|Standards: ANSI A13.1-2007
|Markers per Card: 1
|Width: 24"
|Material: vinyl
|Height: 4"
|Self-Adhesive: Yes
|Marker Attachment Style: Self-Adhesive
|Fits Pipe O.D.: 8" and Larger
|Character Height: 3-1/2"
|Legend Color: black
|Background Color: Yellow
|Operating Temp. Range: 0 Degrees F
|Country of Origin (subject to change): United States
Product Description
Pipe Marker, Legend Non-Potable Water, Legend Color Black, Background Color Yellow, Fits Pipe O.D. 8 In. and Larger, Height 4 In., Width 24 In., Markers per Card 1, Material Pressure Sensitive Vinyl, Marker Attachment Style Self-Adhesive, Standards ANSI A13.1-2007