Frank Gambale — Modes by Frank Gambale, , available at Book Depository with free delivery worldwide. On this DVD, the legendary Frank Gambale presents a clear and easy-to- understand guide to using modes in soloing. All seven major modes are covered and. Edition: DVD, Guitar. Frank presents a clear and easy-to-understand guide to using modes in soloing. Frank takes a subject that guitarists often find confusing.

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Management ve zdravotnictví: ekonomika zdravotnictví: řízení lidských zdrojů ve zdravotnictví: kvalita zdravotní péče a její vyhodnocování by I Gladkij(Book). : List of books by ivan gladkij. You can Management ve zdravotnictví Kvalita zdravotní péče a metody jejího soustavného zlepšování. Principles of Marketing, planning, change management in Health Care. Economic methods in GLADKIJ, Ivan a kolektiv. [i]Management ve zdravotnictví [/i].

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Ivan Gladkij Find more information about: Health policy, objectives, stages of health policy. The students are introduced with the work of zdravotnkctv, their function for health care and society.

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The Frenet-Serret Formulas. So far, we have looked at three important types of vectors for curves defined by a vector-valued function. The first type of vector we. The formulae for these expressions are called the Frenet-Serret Formulae. This is natural because t, p, and b form an orthogonal basis for a three-dimensional. The Frenet-Serret Formulas. September 13, We start with the formula we know by the definition: dT ds. = κN. We also defined. B = T × N. We know that B is .

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In terms of the parametrization r t defining the first curve Ca formulz Euclidean motion of C is a composite of the following operations:.

Let s t represent the arc length which the particle has moved along the curve in time t. The converse, however, is false.

The curve is thus parametrized in a preferred manner by its arc length. Principal curvatures Gaussian curvature Mean curvature Darboux frame Gauss—Codazzi equations First fundamental form Second fundamental form Third fundamental form. This is a natural assumption in Euclidean geometry, because the arclength is a Euclidean invariant of the curve. Moreover, the ribbon is a ruled surface whose reguli are the line segments spanned by N. Thus each of the frame vectors TTrenet-serretand B can be visualized entirely in terms frenet-serfet the Frenet ribbon.

The angular momentum of the observer’s coordinate system is proportional to the Darboux vector of the frame. Various notions of curvature defined in differential geometry. This procedure frenet-serdet generalizes to produce Frenet frames in higher dimensions.

In detail, s is given by.

Frenet–Serret formulas

Intuitively, if we apply a rotation M to the curve, then the TNB frame also rotates. It is defined as. A generalization of this proof to n dimensions is not difficult, but was omitted for formuoa sake of exposition. The Frenet—Serret formulas are also known as Frenet—Serret theoremand can be stated more concisely using matrix notation: Moreover, using the Frenet—Serret frame, one can also prove the converse: If the Darboux derivatives of two frames are equal, then a version of the fundamental theorem of calculus asserts that the curves are congruent.

Intuitively, curvature measures the failure of a curve to be a straight line, while torsion measures the failure of a curve to be planar.

Frenet-Serret formulae

The Frenet—Serret formulas admit a kinematic interpretation. Geometrically, it is possible to “roll” a plane along the ribbon without slipping or twisting so that the regulus always remains within the plane. The torsion may be expressed using a scalar triple product as follows. More specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms of each other.

Imagine that an observer moves along the curve in time, using the attached frame at each point as her coordinate system.

Its normalized form, the unit normal vectoris the second Frenet vector e 2 s and defined as. The rows of this matrix are mutually perpendicular unit vectors: A rigid motion consists of a combination of a translation and a rotation.

Differential Geometry/Frenet-Serret Formulae

A curve may have nonzero curvature and zero torsion. First, since TNand B can all be given as successive derivatives of the parametrization of the curve, each of them is insensitive to the addition of a constant vector to r t. With a non-degenerate curve r sparameterized by its arc length, it is now possible to define the Frenet—Serret frame or TNB frame:. In particular, the binormal B is a unit vector normal to the ribbon. That is, a regular curve with nonzero torsion must have nonzero curvature.

From Wikipedia, the free encyclopedia.

Vector notation and linear algebra currently used to write these formulas were not yet in use at the time of their discovery. These have diverse applications in materials science and elasticity theory[8] as well as to computer graphics. In other projects Wikimedia Commons. This matrix is skew-symmetric.

In the terminology of physics, the arclength parametrization is a natural choice of gauge. The observer is then in uniform circular motion. Given a curve contained on the x – y plane, its tangent vector T is also contained on that plane. The resulting ordered orthonormal basis is precisely the TNB frame.

The normal vectorsometimes called the curvature vectorindicates the deviance of the curve from being a straight line.


Differential Equations and Elementary Differential. Equations with Chapter 7 Series Solutions of Linear Second Order Equations. elementary differential equations with boundary value problems is written for students dec 9 differential equations solution manual 8th edition. Manual To Accompany Boyce Elementary Differential Equations 10th Edition And Elementary Differential Equations W/ Boundary Value Problems 8th Edition.

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The examples in each section seem to be a learning example trying to teach you the basic concepts. Thorough and well written work emphasizing the applied aspects of Ordinary Differential Equations without requiring the reader or student editino the book to be exposed to or steeped in Mathematical Analysis.

DiPrima deceased received his B. Kindle Edition Verified Purchase.

Boyce, DiPrima Textbooks :: Homework Help and Answers :: Slader

There was a problem filtering reviews right now. Amazon Music Stream millions of songs. The Chapter Review Guidelines will help you prepare soluutions quizzes and exams.

The definitions in this book are not clearly stated. The Companion extends the ideas featured in each multimedia module. That would be okay if there was more depth provided for that 18 minutes. Read more Read eementary. Most students, such as I, will probably not understand at least half of what the authors are trying to get at in each section.

He is also coauthor with R.

This book requires full knowledge equatjons solving derivatives and integrals as the authors assume the students will know how to solve them, hence there will be no solutions of them in the examples. My recommendation if your just trying to pass your differential equations class is just to read the theorems listed in each section.


The publisher has chosen to make this book unavailable on the Kindle Cloud. A book that does not have rigorous definitions to start from is not a real math book. Alexa Actionable Analytics for the Web.

The award-winning ODE Architect software. Pages with related products.

elementary differential equations 10th edition boyce solutions

It’s beyond me why Amazon would agree to this publishers demands that the book not be elrmentary available on the Kindle Cloud The edition I purchased, the 7th, is a expanded version of the 4th, 5th and 6th editions. Professor DiPrima died on September 10, Amazon Rapids Fun stories for kids on the go. Amazon Renewed Refurbished products with a warranty.

It does however give a review over a few topics squations will be required to know in order to proceed through with certain sections such as power series and matrices. When I first received this textbook, I thought that it was going to be terrible based on the past reviews and the examples throughout the book. Amazon Drive Cloud storage from Amazon. Excellent for students of Engineering and the Sciences, e.

Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Soutions 1 of 1 Start over Page 1 of 1. While it is true that the authors seems to ramble on aimlessly about solutions to the problems they face within each section of a given chapter, they do actually give a definite solution in the form of a theorem.

Wiley Distinguished Faculty Award given by Rensselaer. He was the author of numerous technical papers in hydrodynamic stability and lubrication theory and two texts on differential equations and boundary value problems.

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Today, we are going to install and configure iTALC on Windows computer – both teacher and student. Whether you have 32 or 64 bit. With previous products such as iTALC you had to add all computers manually or create scripts for generating XML files which was tedious and error prone. With iTALC you can see what is going on in your classroom in overview mode, In this tutorial I am going to show you how to get iTALC up and.

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Log in or Sign up. You need to add, near the top of both files: The command above has created a private key and a public key. Tutoriwl you need to now do is copy these keys to the client machine using scp like so:.

If you right-click that thumbnail you will get a menu of all of the actions you can take on that machine. What you need to now do is copy these keys to the client machine using scp like so: Yes, my password is: And if you think all those commands in linux are difficult, try silently deploying iTalc in a network of Windows especialy windows 7 computers.

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If you want to add entire classroom in one step, you can use XML file. Keys Of course you have to add authentication, in order for the Master to get to the clients.

DIY: Set up a PC instructional environment with iTALC

Leave a Reply Cancel reply Your email address will not be published. The use of iTALC is the same on both platforms. You can do this with Synaptic or from the command line with: But what is it?

Support for Vista and 7 are in the works I believe. Very important is to uncheck the “ACL-based logon authentication”. Advertising revenue is falling fast across the Internet, and independently-run sites like Ghacks are hit hardest by it.

No, create an account now. Hi TumorMozgowicz, because the version in the Ubuntu repository v1. The client system cannot be accessed unless a user is logged in also remote login does not work as the ica.

To copy that folder from Linux to Linux, issue this command for each client machine: To do this right click the left pane and select Add Classroom. About gHacks Ghacks is a technology news blog that was founded in by Martin Brinkmann. You can add several classrooms into one file.

Goto your local iTalc install folder C: You can do this with Synaptic or from the command line with:. So open up a terminal window and issue the command: It’s quite simple to take over a workstation this way.

News, Tips, and Advice for Technology Professionals – TechRepublic

Afterwards log out and in again on the master and the client. It has since then become one of the most popular tech news sites on the Internet with five authors and regular contributions from freelance writers.

Click right button tutoorial the white space, choose “Add classroom” and type name ot it. There is not an easy install for Vista Clients yet anyway. Of course you can use more than one master system and much more clients.

On the Windows machine, the ica daemon will be set to start at boot during the Client installation.


The Psychoanalysis of Fire has ratings and 27 reviews. Modern Hermeneut said: With this book, Bachelard cements his reputation as an intellectual cha. PSYCHOANALYSIS OF FIRE, THE The Psychoanalysis of Fire was published by Gaston Bachelard in , before Water and Dreams: An Essay on the. The Psychoanalysis Of Fire by Gaston Bachelard, , available at Book Depository with free delivery worldwide.

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The Psychoanalysis of Fire: Gaston Bachelard: : Books

For a modern mind, to feed a fire has be- come a commonplace synonym for keeping it going; but words dominate us more than we think, and the old image will at rimes come back to the mind when the old word comes back to the lips.

The first phenomenon is not only the phenomenon of the fire contemplated in all its life and brilliancy during an hour of leisure, it is also the phenomenon caused hy the fire. It should be noticed that this transi- tion does not take place, as the realist explanation would have it, from reality to metaphor, but, in quite the opposite manner and in accord with the theory we are supporting, it proceeds from metaphors of subjective origin to an objective reality: The sexualized values that we wish to expose may be either hidden or explicit.

He will show us the brilliant flame from the zinc projecting che white and dazzling flakes of its oxide into the air. But fire has not yet found its own science as has electricity.

Moreover, as we have so often remarked, it would be neces- ffire only to put this intuition, which is so ridiculous in the form given by Robinet, into a vague and imprecise form, to poeticize it gastoh restore its subjective meaning, in order to have it accepted without difficulty. They are mutually induced and continue through self-induction. We notice that poetry shows a strong affinity for constructs based on analogy gazton symmetry, Ptolemaic in Dante, occult in the Romantics and their successors down to Yeats.

I would sit back, apparently without having done anything at all; they would look at me as if to tell me to get busy, and yet the flame would come and lay hold of the pile of logs; then they would accuse me of having thrown some kind of flash powder on it, and, in the end, gzston usually acknowledge that I had made the most of the draught; they did not go so far as to inquire into the complete, the eflluent and the radiant kinds of heat, or into pyrospheres, translative speeds, and calorific series.

For Bachelard the phenomenon of fire is situated at this crossroads of science and poetry.

We are going to study a problem that no one has managed to approach objectively, one in which psychoanalysiw initial charm of the object is so strong that it still has the power to warp the minds of the clearest thinkers and to keep bringing them back to the poetic fold in which dreams psychoanalyzis thought and poems conceal theorems.

The quickness of a fire thus offers false problems: The two chapters that most directly concern psychoanalysis are obviously chapters three and four.

This attraction is quite obvious. One can study only what one has first dreamed about. Then the liquid, unable to maintain the lightness of the spirit of fire accumulated in the atmosphere, leaves its place and comes to fall in the womb in which there is also atmosphere: Recently I was very much surprised to read that Denis Papin used the same procedure as my grandmother in tending his cooking pot.

Everything would be cooking at the same time: We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. When two intuitions are linked together as these are, the mind believes it is thinking. The dreamer wishes to enclose it in a small space the better to guard it. Thus for him, as for many other writers, smoke is an excre- ment of fire.

Since our aim in this short book is rather to study modern mentalities, we shall not dwell upon the primitive mentalities studied by Frazer. Anything by Bachelard is profound and enriching.

The Psychoanalysis Of Fire : Gaston Bachelard :

D’Annunzio portrays Stelio who, in the glass works, is fige j templating, in the annealing oven, the extension of the sm eldng oven, the shining vases, still slaves of the fire, still under its power.

The sight of fire frightens most animals, except those which through a domesticated life have become accustomed to it. Thus, in our opinion, to be deprived of a reverie before a burning fire is to lose the first psychoanalysia and the truly human use of fire. They are applying just that recurrent rationalism that we wish to expose.

What we first learn about fire is that we must not touch it. Openly pxychoanalysis sexual values are immediately reduced by ridicule. This method will reveal itself as being so easy that we are surprised at the hesitations that preceded its adoption. In a similar fashion the leech dies when it has slaked its thirst for blood. It seems to me that one might just as well say that water is caused by the pump.

The Psychoanalysis Of Fire

But the reverie by the fireside has axes that are more philosophical. But, within the French context, he is almost as important as they are because he has a pseudo-religious force, without taking a stand Apr 02, H added it Shelves: In these circumstances the reverie becomes truly fascin- ating and dramatic; it magnifies human destiny; it links the small to the great, the hearth to the volcano, the life of a log to the life of a world.

And through this study he lays bare the fallacy of scientific objectivity, the impossibiltiy of it, because we are simply too ruled by our passions and our loves.

When our reader has finished reading this book he will in no way have increased his knowledge. He gathered dry grasses and other branches and set fire to the foot of the pal- metto tree, which, soon after, fell with a great crash. Every cordial is an aphrodisiac to the unconscious mind.

But it is perhaps the idea that fire feeds itself like a living creature which is foremost in the opinions developed about fire by our unconscious. Lists with This Book. It’s not that he politely asked a flame to lay on the couch and proceeded to question it about its tyranical mother. But what psychoanalysis has not yet completely system- atized — although the works of C. Indeed, wc cannot speak of a world of the phe- nomenon, of a world of the appearances, except in the presence of a world which changes in its appearances.

And, as it happens, the reverie in front of the fire, the gentle reverie that is conscious of its well-being, is the most naturally centered reverie.


Definitive Scholarly Translation of the Codex Theodosianus Pharr, Clyde. The Theodosian Code and Novels and the Sirmondian Constitutions: A Translation. Download Citation on ResearchGate | The Theodosian Code Clyde Pharr: The Theodosian Code and Novels and the Sirmondian Constitutions. A Translation. The Theodosian Code and Novels and the Sirmondian Constitutions [Clyde Pharr, Theresa Sherrer Davidson, Mary Brown Pharr] on *FREE*.

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If a decurion should steal into a guild of artisans for the purpose of evading other duties, he shall be restored to his pristine status, and in the future no person who derives his birth status from decurions shall dare to aspire to the duties of such a guild.

On studying the Theodosian Code

Lists What are lists? Moreover, landholders shall be duly coerced to obey the imperial statutes, even against their will, and they shall be forced to satisfy the compulsory public services. Open to the public Book English Show 0 more libraries Cramoisy,online clgde, Biblioteca Nazionale Centrale, Rome of a number of missing constitutions in the editions that had appeared until his time. But if it should appear that any villages, depending on the power of their protectors or on their own numbers, have resisted the performance of their compulsory public services, they must pharr subjected to the retribution that is dictated by reason itself.

This single location in Victoria: Roman Asia Minor D. Please verify that you are not a robot. Cambridge, at the University Press, You can run his program also on hparr computer. Roman law — Sources.

The Nature of Roman Comedy: Copyright by Clyde Pharr, copyright renewed Then set up a personal list of libraries from your profile page by clicking on your user name at the top right of any screen. Women and Imperial Theoddosian in Late Antiquity. Bristol Classical Press, Both for the older editions and the manuscripts you can often go to a digitized version.

Studies in the Imperial Law of Late Antiquity.

Theodosian Empresses Kenneth G. Linked Data More info about Linked Data.

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Of course the fame of this edition is a relative thing: He would surely have pursued this path, but he died before he could achieve this. Publications of the Philological Society. A Translation with Commentary, Glossary, and Bibliography Princeton, NJ, provides you with a helpful translation in English of this code which assembled acts of Roman legislation between and AD. Ogilvie – – The Classical Review 21 This site uses cookies.

The E-mail Address es you entered is are not in a valid format. They point in their digital library correctly to a digitized version in the Internet Archive of the second volume of the Mommsen-Meyer editions with the Theodosian Novellae.

Remember me on this computer. The section Early Medieval Texts is a fair attempt to create a nutshell portal for early medieval legal history, and the parallel section Resources for Roman law is perhaps even better, with for example a section for online journals and an overview of online contents of other journals.

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The Theodosian Code and Novels, and the Sirmondian Constitutions – Google Books

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Studying the Codex Theodosianus is an international affair. Physical Description xxvi, p. Write a review Rate this item: You also may like to try some of these bookshopswhich may or may not sell this item. Search WorldCat Find items in libraries near you. Public Private login e.


Check out Leggerezza (for Guitar) by Vincenzo Saldarelli on Amazon Music. the Album Saldarelli: Five Studies (from “Lezioni Americane” by Italo Calvino). Il tema della leggerezza in Nietzsche è legato a quello dell’eterno ritorno, ovvero Alberto Asor Rosa, Le Lezioni americane di Italo Calvino, in Letteratura.

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Di chi la colpa?

Saldarelli: Five Studies (from “Lezioni Americane” by Italo Calvino)

This section is a paean to the encyclopedic novel. Open Preview See a Problem? Literary Lovers and Calvino Fans. Operette Morali by Giacomo Leopardi 4. Want to Read saving…. Unfortunately, Calvino did not live to see the new millennium.

Troppo breve, mi sono sentita come se mi portasse per mano indicandomi dove e come guardare. He’s put me in the headspace I need to be in to integrate this principle of lightness into my writing. Still, Calvino calls on the example of Borges and the Oulipo to demonstrate what is possible in a novel, eve if the pursuit of such a work might not always be advisable.

When I finished reading, “If on a winter’s night a traveller” and “Invisible Cities”, I was intrigued and thrilled, and had a nagging curiosity to understand the working; the underlying formula; the quest which must have lead the author to write them. He and literature ldggerezza a very intimate relationship and she tells him secrets about herself that no one else gets to hear.

And that’s how Boccaccio’s goes on: A Method for the New Millennium: Esattezza for Guitar Esattezza for Guitar. Amazon Restaurants Food delivery from local restaurants. I sei capitoli riguardano alcuni tratti letterari che Calvino ritiene essenziali per la facies della letteratura del Duemila: No trivia or quizzes yet. For Calvino, every story begins as a visual cue, to which more and more images are added until he has to summon words to describe this profusion of images.

Mar 14, Riku Sayuj rated it really liked it Shelves: Siamo nella prima lezione, Leggerezza. Tale messer Betto e la sua compagnia, allora, decidono un giorno di occupare il proprio tempo “dando briga” al povero Guido, che in quel momento passeggia tra i sepolcri di marmo disposti davanti alla chiesa di San Giovanni. And, reading the context of this memo, I know exactly what he means and see that struggle in myself.

Want to Read Currently Reading Read. Posso solo ringraziare Calvino che ancora una volta mi ha profondamente colpita e affondata. He was a journalist and writer of short stories and novels.

Marta De Grandi, La leggerezza. Nietzsche e Calvino – PhilPapers

Product details Original Release Date: View all 14 comments. In the meantime, he has left Six Memos for the Americnae Millennium as a travel journal showing the direction he might have gone; inviting us to follow.

Like a tangent that strikes an arc and flow on its own, he touches Galileo, Leopardi and mythology, and he turns himself into a thread that connects the parallels.

Come vi piace by William Shakespeare 3. Feb 12, Jonfaith rated it really liked it.

Amazon Drive Cloud storage from Amazon. Pierre books friends. What you will find here is a peek behind Calvino’s magic curtain.

Lightness I have tried to remove weight, sometimes from people, sometimes from heavenly bodies.


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Novolen Polypropylene Technology Improvements And Update, – Fibre2Fashion

A single point calibration is used. The temperature dependent seal strength data of examples 16 to 24 are given in Table 6. For example, it is possible to polymerize two or more starting polymers separately, then to mix these by using suitable mixing equipment, such as screw extruders or diskpack plasticators, kneaders or roll mills.

X 1X 2 and X 3 are hydrogen, C 1 -C 10 -alkyl, C 6 -C 15 -aryl, alkylaryl, arylalkyl, haloalkyl or haloaryl with in each case from 1 to 10 carbon atoms in the alkyl radical and from 6 to 20 carbon atoms in the aryl radical or fluorine, chlorine, bromine or iodine, in particular haloaryl, preferably pentafluorophenyl.

More preferred, a metallocene compound A of the catalyst system used for the polymerization of the composition of the present invention, use is made of at least one compound of the formula II below where the substituents and indices have the following meanings: The solid catalyst component recovered is combined with an aluminum cocatalyst to form a Ziegler-Natta catalyst system for the polymerization of olefins. Gloss is reported in units of gloss.

To produce polypropylene PP homopolymer, random copolymers and impact copolymers, including Metallocene PP in the Novolen process. Compounds of the produced resins of Comparative Examples 37 to 39 were prepared, extruded and pelletized. For each cycle, the maximum force encountered was reported as the specimen was stressed to failure and the mode of specimen failure was identified. More preferred, a metallocene compound A of the catalyst system used for the polymerization of the composition of the present invention, use is made of at least one compound of the formula II below.

Example 18 Film of Example 9. The composition of claim 13 wherein said xylene soluble fraction has an intrinsic viscosity of above about 2. The exact reaction conditions are listed in Table 7. R 40R 41 can be identical or different, even when they have the same index, and are each a hydrogen atom, a halogen atom or a C 1 -C 40 group such as a C 1 -C 20 -alkyl group, a C 1 -C 10 -fluoroalkyl group, a C 1 -C 10 -alkoxy group, a C 6 -C 14 -aryl group, a C 6 -C 10 -fluoroaryl group, a C 6 -C 10 -aryloxy group, a C 2 -C 10 -alkenyl group, a C 7 -C 40 -arylalkyl group, a C 7 -C 40 -alkylaryl group or a C 8 -C 40 -arylalkenyl group, where R 40 and R 41 may each, together with the atoms connecting them, form one or more rings, and z is an integer from zero to 18.

Please enter your contact information so we are able to process your request. The hexane extractables from the film of Comparative Example 35 made from the polymer blend of Comparative Example 31 was 4.

The Ziegler-Natta catalyst includes a Group transition metal and an internal donor comprising a diether compound. A wide range of products can be produced with, at most, two reactors connected in series, including super-highimpact copolymers. Thereafter, the polymer solution was discharged while the polymer crystals remained behind in the extractor.

The process of claim 25, wherein the polymerizing steps c and e are performed using a reactor cascade composed of at least two reactors in series. Example 2 was repeated with the exception that different amounts of hydrogen, ethylene and propylene were fed to the reactor.

The balance of the level of extractables, particularly hexane extractables, and the SIT of these compositions is not satisfactory. Search Expert Search Quick Search. Not limiting examples for the particularly preferred metallocene compounds of the present invention are the following compounds: Lummus Novolen Technology GmbH. Material was cut into strips in the machine direction and a seal was made across the strip and then pulled with the long tabs in the tester.

The end point of the heat-seal curve is when increasing temperature levels causes a nvolen or tear of material at edge of seal novoeln referred to as a fusion seal. R 1R 2and the bridging unit R 9 have the meaning set forth above with respect to formula I. For the purposes of the present invention, metallocene catalysts are any of the catalyst systems which comprise at least one metallocene compound Aand metallocenes compounds A here are any of the complex compounds of metals of transition groups of the Periodic Table with organic ligands.

As metallocene compounds A of the catalyst system of the present invention, use is made of at least one compound of the formula I below, R 9 L 1 L 2 M 1 R 1 R 2 Formula I where the substituents have the following meanings:.

Material Safety Data Sheets providing safety precautions, that should be observed when handling or storing Clariant products, are available upon request and are provided in compliance with applicable law.

The crystal suspension was transferred to a thermostat controlled ml extraction apparatus, which corresponds to that described by [W.

Comparative Example 27 Comparative Example 26 was repeated with the exception that different amounts of hydrogen, ethylene, 1-butene and propylene were fed to the reactor and that polymerization was carried out at different temperatures.

Example 23 Film of Example No express or implied warranty is made of the merchantability, suitability, fitness for a particular purpose or otherwise of any product or service. The second reactor is used either to incorporate rubber into the homopolymer matrix produced in the first reactor, or the reactors are configured in parallel while producing homopolymers or random copolymers at capacities up tometric tpy. The solid thus obtained was filtered off and washed a number of times with ethylbenzene.


Nonetheless, the introduction of amorphous, low molecular weight fractions into state-of-the-art metallocene based sealing layer compositions comprised of two or more components has been inevitable and is still too high with regard to food packaging applications. I found Clariant through a search engine. A sample was subjected to the same experimental recipe with the exception that the sample was allowed to settle for another 5 days instead of another 2 hours.

The film of claim 11, wherein the novolwn of hexane extractable fraction of the film layer comprises no more than about 3. Lumms percent xylene solubles are calculated relative to a standard polystyrene solution.

Secant modulus is typically related to the stiffness of a film. The objective of the invention is achieved by polypropylene compositions that exhibit xylene soluble fractions with very high molecular weight, and by polypropylene compositions that comprise ultra-low crystallinity fractions, and also by a process for preparing the polypropylene compositions.

Examples Films were made from the pellets of Examples as described above. Comparative Example 35 Film of the resin of Comparative Example A high impact strength random block copolymer including a about wt.

The composition of claim 1, wherein both random copolymers of the polymer blend were prepared by means of a metallocene catalyst. An objective of the invention is to eliminate the disadvantages of the state-of-the-art and make polypropylene resin compositions available that are suited for heat-sealing applications and that have, at comparable SIT, lower levels of hexane extractables than state-of-the-art polypropylene compositions or that have, at comparable levels of hexane extractables, lower SITs than state-of-the-art polypropylene compositions or that have a combination of lower SIT and lower levels of extractables than state-of-the-art polypropylene compositions.

The support may also be subjected to treatment with heat, e. The metallocene compound Aand also the metallocenium-ion-forming compounds Bcan be used in solution, particular reference being given to aromatic hydrocarbons having from 6 to 20 carbon atoms, in particular xylenes and toluene.

R 22 is novvolen, C 1 -C 10 -alkyl, C 6 -C 15 -aryl, alkylaryl or arylalkyl having in each case from 1 to 10 carbon atoms in the alkyl radical and from 6 to 20 carbon atoms in the aryl radical. It strengthens our competitive position in a market with future perspectives and strong growth rates. Compared to EP B1, the amount of comonomer that has to be incorporated into the random copolymer produced in lummuus first reactor is significantly lower in the present invention.

A film having at least one layer fabricated from the composition of claim 1.


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