22TCN 251-98 PDF

trong l p k t c u b ng PP ộ ẩ ố ượ ủ ấ ớ ế ấ ằ rót cát 22TCN – Đ b ng ph ng ườ ằ ầ kelman 22TCN – Thí nghi m xuyên tiêu chu n (th nghi m SPT) . 06 Ao duong mem chÕ bÞ ®óng víi tr¹ng th¸i Èm nhiÖt bÊt lîi hoÆc ¸p dông hÖ sè quy ®æi vÒ mïa bÊt lîi theo tiªu chuÈn ngµnh 22 TCN 22 TCN TECHNICAL STANDARD FOR ROAD MAINTENANCE AND REPAIR, Issued under Decision No QDBGTVT dated 28 May of.

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Type of embankment and pavement on moisturizing conditions, state of drainage, status of pavement surface, structure of pavement, type of the top soil, traffic volume and so on These figures will be obtained in reference to the road documents at road management agencies and data collected by site investigation carried out by experienced expert teams refer to Appendix A ; 5.

When measuring the pavement deflection, not measure at positions where the pavement are considerably damaged such as: So as to adjust results of deflection measurement for calculated temperatures later, it is a must to measure the ambient air temperature and pavement temperature for once in hour during deflection measurement along the pavement Measurement of the pavement temperature is only required for pavement structure with the asphalt top layer thickness is 5cm or more This is how to measure the pavement temperature: Traffic safety organization may be arranged by using barrier, traffic signs in combination with person holding traffic control flag Processing deflection measurement results 6.

Li refers to the pavement deflection measured at the i test spot regardless of other effects by the truck loading, unfavorable season and the pavement temperature, unit in mm; Kq means the coefficient of measurement results adjustment by parameters of the rear axle of the test truck to the results of standard truck rear axle Kq is calculated by formulae: Ldt is typical rebound deflection for each test section; Ltb pertains to average deflection of the test section, in mm Value Ltb is calculated by below formulae: K is the probability factor taken upon grade and class of road, to be determined as below: Name and address of the Laboratory: Kilometer 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 Cross section – Left side 1.

This work is implemented in several years Every one, to measure in the same day, in the morning and when the pavement have highest temperature about pm — How to measure: Measurement of deflection in fixed observatory points is similar to that for test spots along the pavement including measuring pavement temperature in testing During test in measurement points, special attention should be paid to placement of test vehicle wheels within the circle marked on the pavement surface — Processing of results after measurement: Using statistical analysis method of deflection measurement data to determine the most unfavorable season in a year, deflection adjustment factor to the most unfavorable season in year Km and deflection adjustment factor at measured temperature to calculated temperature Kt D.

We may take the most unfavorable season in year of the road passing by localities as in Table D. To determine Km as below: Embankment is not frequently submerged, underground water level is 1.

Low embankment, narrow shoulder filled with clayed sand soil to be poorly compacted, with regular underground water, poor surface water drainage and under effect of underground water Pavement structure has water-permeable surface layer, base is 25198 Seasonal conversion factor K m may be taken from Table D.

Deflection adjustment factor at measured temperature ToC to calculated temperature at C by this formulae: Determine deflection adjustment factor at measured temperature T oC by the following formulae: Kt 10 is deflection adjustment factor at measured temperature ToC to 10oC ; K30 10 refers to deflection adjustment factor at 30oC to 10oC Kt 10 and K30 10 is determined by monograph in Figure D.

Calculate comparative value by this manner: Textbook evaluation an investigation into vectory 01 0 0.


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In a 10 volume set, ‘Islamic Jurisprudence and its Proofs’ the extensive work on the difference schools of Islamic jurisprudence adillatuyu their differences and similarities on various legal issues.

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theory and supersedes my Algebraic Numbers, including much more the Brighton Symposium (edited by Cassels-Frohlich), the Artin-Tate notes on class field. Cassels: Global Fields · Cassels-Frohlich: Algebraic Number Theory · Cohen: A Course in Computational Algebraic Number Theory (GTM ) · Lang: Algebraic . The book is a standard text for taught courses in algebraic number theory. This Second Edition Front Cover. John William Scott Cassels, Albrecht Fröhlich.

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By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Edit 25 April I have a physical copy of the new printing of the book.

I can only assume the LMS is now selling it but have no details. Ok, the deadline has past, I’ve spent days going through the results, and I have collated them all here: I will update this file as comments come in. The London Mathematical Society would like to know all the errors I’ve made myself, by 12th of Casseels, so theoy free to let me know of anything, however trivial!

I clearly misjudged thisthe question has a good few upvotes now. Hence the LMS had to go about contacting the authors of the original articles. When they contacted Serre he replied thsory reprint my articles, but please include the erratum that I indicated in my completed works.

I fghlich over the thread from numbdr October about the errata database but the database doesn’t seem to contain this book. On the other hand it is surely a very widely-read book. I think I just found a typo in the definition of a co-induced module on p The notation is also terrible: Does anyone else have any scrawled marginal notes in their copies of Cassels-Froehlich about typos or other things that the LMS can fix?

They are planning on having an erratum page at the beginning of algebrajc book when they reprint it. Discussion on this thread is happening here at the meta. After this point I KB will put all the errata we have caught into one file and the LMS will send it to the authors, asking for their approval.

Anton and Ilya have suggested that really this would be better if algeebraic had one big answer rather than lots of smaller ones. But let me persist with the “lots of smaller ones” for the time being, because I am still getting emails with non-trivial lists in from different sources and, although I want to put everything together into one pdf file, I don’t really want to do it until I am pretty sure no more is coming in.

On algenraic other hand these partial lists have definitely been of help to some people, e. I’ve had emails saying “I have a big list of corrections; here are the ones that haven’t already been mentioned. OK, so all the people whom I was almost sure would have comments have now got back to me. I posted everything in one “burst” so as to only bump this post to the top one last time. What I will do now is to compile everything I have now on the basis that I am not expecting much more into one pdf list, and post a link to algebrai.

Ok so it looks like I misjudged this and the community seem happy to have the question here, at least at present. After “can be taken to be rational integers” add the following parenthesis: And here’s one which I spotted: I think that the last full sentence at the bottom of p98 is wrong.

I think the “action” they define is not an action, and I think the first couple of sentences of section 4 should thepry. I posted this question in several other places as well the nmbrthry mailing list, and sci. Here, completely unedited, is the bulk of an email I just got from Rene Schoof. Schoof’s list will be very useful; its length shows that the new edition thfory need at least one or two pages of corrections. It should be d f. In my copy of the book, the footnote algbraic not refer to Stalin.

The only mention of that name is on p.

Math 6370: Algebraic Number Theory

This is a delicate one. This answer is just to bump this post up to the front page for the final time. I typed up all the errata I heard into one pdf file and put it here. Keith Conrad sent me a nice chunky list here. Here’s one I didn’t see on the list on mathoverflow: The right-hand side should be the reciprocal of what it is in the book.

I recall also having trouble getting the signs in part 14 of that exercise on cubic reciprocity to work out, perhaps because of the mess of algebra, perhaps because some of the computations depend on part Below my 51 errata that I didn’t see on your list or in William Stein’s mail yet.

Most are of a typographical nature, cxssels some have mathematical substance. I did at the present occasion not verify the correctness of those. I did not do any proofreading of my list either!! I trust you will apply your own sound judgment. Page 3, Proposition 1. This Proposition is misstated, and the proof has the wrong reference: The Theorem in the latter section is the correct formulation: More or less coincidentally, the Proposition is correct as stated exercise!

Page 98, the lower “delta” in the diagram should have a “hat” the upper one has one, though it is barely visible in my copy. Pageline 3 of section 2. Pageline Also, the proof is confused. casse,s

Pageline counting the footnote numbrr This is what I scrawled, I did not verify it at the present occasion! Should be indexed by U in the limit process, not UH. Also, the verification that the displayed map is actually inverse to the Artin map seems to merit a thfory bit of explanation using the identification of artin map with cup product against fundamental class in Serre’s treatment of the local case.

Q]and the definitions of f and g should subtracting some stuff. The Brauer argument below makes it all moot.

By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the alvebraic is subject to these policies. Home Questions Tags Users Unanswered. Erratum for Cassels-Froehlich Ask Question.

Thanks to everyone who helped. If this thread does get closed, feel free to email comments to buzzard at imperial.

Thanks to everyone that contributed. Why is this borderline? This actually seems to me an ideal use of the collected attention of Math Overflow to do something that helps the community more generally.

I agree, frhlkch seems aglebraic an excellent question. And I’m glad to hear that Cassels and Froelich may be reprinted! It’s “borderline when it comes to what I want MO to be” ;- which is just loads of fun precisely-worded questions with precise answers.

But judging by the upvotes I have misjudged this. I also emailed some people asking them if they had seen any typos. I’ll post anything I get. In my opinion this is an excellent example of a good community wiki question!

Algebraic Number Theory: Proceedings of an Instructional Conference – Google Books

If you think the typos really are typos, vote up: I think the “action” they define is not an action, and I think the first couple of sentences of section 4 should be: Z should be bold face.

No correction is needed: I do not understand what change Schoof wants. The letter Z in Z[zeta] should be in boldface. Bill Stein independently got in touch with me to tell me about the two typos on p99 he’s giving a talk on that chapter in 30 minutes’ time! I remember Serre explaining long ago that the reference to Stalin was a mischievous joke linked to NATO’s sponsorship of the conference.

Algebraic Number Theory

I think this is a typo? Actually, I think the entire proof of Prop. I may have made an error, but I think page isn’t actually mistaken: Oesterle grhlich out that the “standard” definition of a caasels module is Hom Lambda,X with G-action g. If this definition is used then what the authors write seems to be OK. However it seems to me that implicit in the article is a “non-standard” but isomorphic to the standard definition. I happened to notice these misprints this morning: I’ve started reading chapter 1.

Could someone confirm that the following are typos? Page 45, line 5: Page 52, part 3 of the first definition: Page 54, line Page 73, line 6: Page 75, line 1:


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Understanding Aleister Crowley’s Thoth Tarot – Lon Milo Duquette – Google Books

In his opening chapter he says he is as qualified as anyone to comment on the subject of the Thoth Tarot. The book just over pages in length and is divided into two parts.

The first part consists of an introduction to the background philosophy behind the Thoth Tarot and is by far the best section of the Book. Section two starts on page 80 and consists of the descriptions of the Thoth Cards themselves.

All of these sections are extremely useful in giving the reader an insight into both Mr Crowley and Lady Frieda Harris and their work. An example is shown in the diagram below: Again all of this information is very useful to the reader. Unfortunately this sets the tone for the rest of the book.

He rarely offers any of his own views and insights and here lies my main gripe with the book. Since in the first chapter he states he is as qualified as anyone to discuss the Thoth Tarot having been part of the O. O for years, he then looses confidence and refuses to explore the cards in any depth and this is a great disappointment after all the build up in section one.

The amount of space offered for each card is too little in my opinion and this is made worse by the fact that he chooses to describe the original Golden Dawn card without actually giving us a picture of lno card! Im a big believer in a decent photo and the ones of the tarot cards in the book are small and are of poor quality.

His description of these start on page and its a familiar pattern. On thith left page above the sold line is all introductionwith some information on the Golden Dawn Card which we dont have a picture of.

Understanding Aleister Crowley’s Thoth Tarot : Lon Milo DuQuette :

This pattern repeats to varying degrees throughout the minor arcana cards. This chapter essentially concludes the book and starts on page So this chapter is pretty much an exact copy of The Book of Thoth in terms of the divination and card meanings which again comes across as very weak to me and having a lack of confidence in the subject matter. This had the potential to be the most informative book on the Thoth Deck and it started well but he just seemed to run out of steam when he got to the cards themselves.

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There are many positions we can meditate in: For those unable to sit, you may use the alternate option of lying down. The aim of the sitting posture is to balance being upright and alert, with being relaxed. When exploring a sitting posture, we want to choose a method that is relatively easy. Choosing a method that looks good, but is a significant struggle defeats the purpose of meditation. What is most important is what you do with your mind, not what you do with your feet or legs.

Sitting on the floor is recommended because it is very stable. A very effective postures has been the pyramid structure of the seated Buddha. We can use a zafu a small pillow to raise the buttocks just a little, so that the knees can touch the ground.

With your bottom on the pillow and two knees touching the ground, you form a stable tripod base. If you are on a hard floor, placing your cushion on a zabuton a square padded mat or kalpavriksah is recommended. See Hand Positions below. The left foot is placed up onto the right thigh and the right leg is tucked under. This position is slightly asymmetrical and sometimes the upper body needs to compensate in order to keep itself absolutely straight.

If you sit more than 30 minutes a day, I recommend that you mevitation which leg goes on top. The most stable of all the positions is the full lotus, where each foot is placed up on the opposite kalparviksha. This is symmetrical and very solid, but only if you can be relax in it.

If you sit with your pelvis against the back of the chair, you can use a cushion behind you to help keep your back straight. The hips should be slightly higher than the knees, this keeps you from slouching.

We recommend any position where the arms and hands can be relaxed, often palms up or down on your thighs or folded on your lap. If there is neck, mid-back or shoulder strain, a small cushion can be placed under the folded hands. Another common position a similar one used in zen involves having the dominant hand held palm up holding the other hand, also palm up, so that the knuckles of both hands overlap.

Kalpavriksha – Wikipedia

As we get used to sitting, our circulation can improve so it takes longer for them to fall asleep. For some people different cushions, such as crescent shaped, can take the pressure off, and let us sit comfortably longer.

If sitting cross-legged, you might switch which legs is in front, or on top. Usually made from kapok a kind of cotton or buckwheat. A zafu raises the hips, making the cross-legged sitting positions kalpavrikwha stable. Particularly helpful on hard floors. Sitting Positions Sitting on the floor is recommended because it is very stable. The knees should ideally also rest on the floor.

Depending on your flexibility, it may take a bit of practice for the muscles to stretch and the knees to begin to drop. A cushion under the knee s can help. Sit on the front third of the zafu if roundwhich helps keep your back upright. Imagine the top of your head being pulled upward towards the ceiling, which meditayion your spine, then just let the muscles go soft and relax. There should be a slight curve in the lower region of the back.

In this position, it takes very little effort to keep the body upright. If you sit more than 30 minutes a day, I recommend that you alternate which leg goes in front. Half Lotus The left foot is placed up onto the right thigh and the right leg is tucked under. Full Lotus The most stable of all the positions is the full lotus, where each foot is placed up on kalpavrikshw opposite thigh.

Seiza Position with a bench, zafu, or just kneeling You can sit kneeling using a seiza benchwhich keeps the weight off your feet and helps keep your spine straight.

You can also sit kneeling with a pillow between your legs. Keep your feet flat on the floor. The hands can be kept on the thighs, or folded on the lap, or on top of a cushion on the lap. Lying down if sitting is not an option The tendency to fall asleep is more of an issue, but there are ways of encouraging alertness when lying down. Place your feet comfortably apart on the floor with the knees up, the knees not touching.


If you msditation asleep, the knees will bump each other or fall away and wake you up. Another choice is keeping one of your forearms perpendicular to the floor, with your elbow and upper arm resting on the floor.

Oalpavriksha you meditatipn sleepy, it will drop. This can work as a feedback device: Hand Positions We recommend any position where the arms and hands can be relaxed, often palms kalpavroksha or down on your thighs or folded on your lap. General Guidance Wear loose clothing.

Loosen your belt if necessary. Material should not gather behind the knees when you cross the legs, inhibiting circulation. The mouth is kept closed. Unless you have some kind of a nasal blockage, breathe through your nose.

The tongue can be pressed lightly against the upper palate. This may reduce the need to salivate and swallow. Usually you do so with the eyes kept lowered, with your gaze resting on the ground about two or three feet in front of you. The chin is slightly tucked in.


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Karthik born 7 November is an Indian playback singer. Karthik started his professional career as a backing vocalist and has since been working as a playback singer.

He has sung in multiple languages including TamilTeluguMalayalamKannadaand in other languages like Odia advi, Bengali and Hindi. Karthik is known for his versatility in the industry which gave him opportunity to sing a variety of songs.

He was born into a Tamil family. Karthik developed an interest in music, early in his life. He is a trained Carnatic music vocalist and has been training since his school days. An ardent fan of A. RahmanKarthik’s dream was to meet Rahman and sing for him. Playback singer Srinivaswho collaborated often with Rahman was Karthik’s close friend’s cousin. Srinivas encouraged Karthik to look at singing as a career, which prompted Karthik to resume his singing lessons.

One year later, Srinivas recommended Karthik’s name to Rahman, who needed fresh voices for backing vocalists for a song from Pukar. Karthik eventually got the opportunity and recorded for the song. Having spent over an year being a backing vocalist, Karthik got his break msllelu the re-recording of One 2 Ka 4.

For the background score, A. Rahman wanted a high-pitched alap and he eventually chose Karthik to sing the alap. Soon after, Rahman asked him to sing the song “Nendhukittaen” from the film Star.

Karthik has sung a number of songs for many popular music directors, including A. Inhe sang a track “Behene De”, from Hindi film Raavanwhich is widely considered as the biggest song in his career. He also sang “Adhigora Choodu” in the movie Mirapakaay. He has also released an album called “Music I Like”.

It is based on carnatic ragaas par it is a contemporary take on some well known keerthanas.

He also performed in Oxford engineering college Bengaluru. With the rise of metoo movement in India, Karthik’s name was mentioned by multiple women. Journalist Sandhya Menon shared screenshots of messages sent by an anonymous woman. The woman alleged that at a public event, few years ago, Karthik kept talking about her body.

She added that she has heard other singers complain about him, but he remains an influential singer. This is only a partial list; it is noteworthy that Karthik has sung over songs in TeluguKannadaTamilMalayalam and Hindi.

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Karthik (singer)

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