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The '''Lahun Mathematical Papyri''' (also known as the '''Kahun Mathematical Papyri''') are part of a collection of [[Kahun Papyri]] discovered at [[El-Lahun]] (also known as Lahun, Kahun or Il-Lahun) by [[Flinders Petrie]]  during excavations of a worker's town near the pyramid of [[Sesostris II]]. The [[Kahun Papyrus]] are a collection of texts including administrative texts, medical texts, veterinarian texts and six fragments devoted to mathematics.<ref>[http://www.digitalegypt.ucl.ac.uk/lahun/papyri.html The Lahun Papyri] at University College London</ref>
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You too can use ReaLemon as a daily cleanser. Apply it before going to bed and within the morning wash off the juice with cool water. Do this for several nights and you will definitely discover the zits clearing up.<br><br>Ayurveda too presents assist to those suffering from this irritating downside. There are a number of dwelling remedies for gasoline pain that you are able to do at home like consuming tea with a sprinkle of cinnamon or consuming caraway seeds. Consumption of peppermint tea too has a soothing effect. Another of Ayurveda's highly potent and efficient products is GSCare. This all -natural herbal complement treats circumstances like indigestion, constipation, fuel, diarrhea or irritable bowel syndrome. It depends on completely pure herbs and dietary supplements which cleanse the digestive tract and flushes out toxins. 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Right after we put it on I could feel a cooling sensation throughout my face. Sarah did not really feel the cooling. She stated she began to really feel the tightening after a few minutes. I think I utilized a thicker layer to my face then she did as a result of it took me longer to really feel the tightening effect and to turn grey. Be careful not to get it on the delicate space beneath the attention as a result of I had just a little there and the sensation was slightly unusual (it didn't harm however it felt bizarre).<br><br>There are some herbal remedies which can be used  How To Get Rid Of Deep Blackheads From Nose specifically to alleviate the uncomfortable feeling associated with bloating. Digestive issues are often the reason for most bloating and gas related issues, therefore if you happen to take herbs to improve your body's digestive functions you can assist to get rid of gas. Chamomile and turmeric are nice when used to deal with extra fuel, acid and even inflammation of the digestive tract. Each, Chamomile and turmeric can be found in a capsule kind and can be found in many teas. Ingesting a glass of this hot tea at night can even make it easier to to loosen up and the style is amazingly good.<br><br>The “alien invader” of zits foods This food not solely causes pimples but in addition overworks your immune system [http://prudeinfotech.com/wikipedia/How_To_Remove_Blackheads_From_Nose_With_Toothpaste_And_Salt leaving] you feeling worse and prevents your pores and skin from healing. Page 50. A common well being meals that “sticks around” in your intestines This not solely causes acne but different well being issues too. Page fifty two. A “well being meals” advertising rip-off You must keep away from this food that’s usually touted as wholesome. And how avoiding it's really simple! Web page fifty four. An inventory of 90 completely different meals, beverages and substances you possibly can eat Deliver this to the grocery retailer subsequent time you buy groceries. Keep on with this checklist and you’ll be okay. Web page fifty eight.<br><br>I’m at the moment waiting for an American friend (Nick) to swing by my place so we can head up north(ish) to climb for the following 2 weeks. We’ll cease first in the Guelph/Milton space to climb, the place I’ll also be able to stop by my outdated climbing gym and catch up with my friends. Following that we’ll make our way to Collingwood for a day or two and then spend the rest of our time within the Lionshead area. Can not inform you how joyful I'm with the ability to climb and journey so frequently!
 
The mathematical texts most commented on are usually named:
* '''Lahun IV.2''' (or '''Kahun IV.2''') ([http://www.digitalegypt.ucl.ac.uk/lahun/uc32159.html UC 32159]): This fragment contains a [[mathematical table|table]] of [[Egyptian fraction]] representations of numbers of the form 2/''n''. A more complete version of this table of fractions is given in the [[Rhind Mathematical Papyrus]].<ref name="Clagett">Clagett, Marshall Ancient Egyptian Science, A Source Book. Volume Three: Ancient Egyptian Mathematics (Memoirs of the American Philosophical Society) American Philosophical Society. 1999 ISBN 978-0-87169-232-0; Annette Imhausen, Jim Ritter: ''Mathematical Fragments'', In: Marc Collier, Stephen Quirke: ''The UCL Lahun Papyri: Religious, Literary, Legal, Mathematical and Medical'', Oxford 2004, ISBN 1-84171-572-7, 92-93</ref>
* '''Lahun IV.3''' (or '''Kahun IV.3''') ([http://www.digitalegypt.ucl.ac.uk/lahun/uc32160.html UC 32160]) contains numbers in [[arithmetical progression]] and a problem very much like problem 40 of the Rhind Mathematical Papyrus.<ref name="Clagett"/><ref>Annette Imhausen, Jim Ritter: ''Mathematical Fragments'', In: Marc Collier, Stephen Quirke: ''The UCL Lahun Papyri: Religious, Literary, Legal, Mathematical and Medical'', Oxford 2004, ISBN 1-84171-572-7, 84-85</ref><ref>Legon, J., A Kahun mathematical fragment, retrieved from [http://www.legon.demon.co.uk/kahun.htm], based on Discussions in Egyptology 24 (1992), p.21-24</ref> Another problem on this fragment computes the volume of a cylindrical granary.<ref>Gay Robins and Charles Shute, "The Rhind Mathematical Papyrus", British Museum Press, Dover Reprint, 1987.</ref> In this problem the scribe uses a formula which takes measurements in ''cubits'' and computes the volume and expresses it in terms of the unit ''khar''. Given the diameter (d) and height (h) of the cylindrical granary:
:<math> V = ((1+1/3)d)^2 \ ((2/3) h)</math>.
: In modern mathematical notation this is equal to
:<math> V = \frac{32}{27} d^2\ h = \frac{128}{27} r^2\ h </math> (measured in khar).
: This problem resembles problem 42 of the [[Rhind Mathematical Papyrus]]. The formula is equivalent to <math> V =  \frac{256}{81}  r^2\ h </math> measured in cubic-cubits as used in the other problems.<ref>Katz, Victor J. (editor),Imhausen, Annette et al. The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, Princeton University Press. 2007 ISBN 978-0-691-11485-9</ref>
* '''Lahun XLV.1''' (or '''Kahun XLV.1''')  ([http://www.digitalegypt.ucl.ac.uk/lahun/uc32161.html UC 32161]) contains a group of very large numbers (hundreds of thousands).<ref name="Clagett"/><ref>Annette Imhausen, Jim Ritter: ''Mathematical Fragments'', In: Marc Collier, Stephen Quirke: ''The UCL Lahun Papyri: Religious, Literary, Legal, Mathematical and Medical'', Oxford 2004, ISBN 1-84171-572-7, 94-95</ref>
 
* '''Lahun LV.3''' (or '''Kahun LV.3''') ([http://www.digitalegypt.ucl.ac.uk/lahun/uc32134a.html UC 32134A] and [http://www.digitalegypt.ucl.ac.uk/lahun/uc32134b.html UC 32134B]) contains a so called aha problem which asks one to solve for a certain quantity. The problem resembles ones from the Rhind Mathematical Papyrus (problems 24-29).<ref name="Clagett"/><ref>Annette Imhausen, Jim Ritter: ''Mathematical Fragments'', In: Marc Collier, Stephen Quirke: ''The UCL Lahun Papyri: Religious, Literary, Legal, Mathematical and Medical'', Oxford 2004, ISBN 1-84171-572-7, 74-77</ref>
 
* '''Lahun LV.4''' (or '''Kahun LV.4''') ([http://www.digitalegypt.ucl.ac.uk/lahun/uc32162.html UC 32162]) contains what seems to be an area computation and a problem concerning the value  of ducks, geese and cranes.<ref name="Clagett"/><ref>Annette Imhausen, Jim Ritter: ''Mathematical Fragments'', In: Marc Collier, Stephen Quirke: ''The UCL Lahun Papyri: Religious, Literary, Legal, Mathematical and Medical'', Oxford 2004, ISBN 1-84171-572-7, 78-79</ref> The problem concerning fowl is a [[Moscow Mathematical Papyrus#Baku problems|baku problem]] and most closely resembles problem 69 in the [[Rhind Mathematical Papyrus]] and problems 11 and 21 in the [[Moscow Mathematical Papyrus]].<ref>[http://www.digitalegypt.ucl.ac.uk/lahun/uc32162.html UC 32162 Lahun LV.4]</ref>
 
* Unnamed fragment ([http://www.digitalegypt.ucl.ac.uk/lahun/uc32118b.html UC 32118B]). This is a fragmentary piece.<ref>Annette Imhausen, Jim Ritter: ''Mathematical Fragments'', In: Marc Collier, Stephen Quirke: ''The UCL Lahun Papyri: Religious, Literary, Legal, Mathematical and Medical'', Oxford 2004, ISBN 1-84171-572-7, 90-91</ref>
 
==The 2/''n'' tables==
The Lahun papyrus IV.2 reports a 2/''n'' table for odd ''n'', ''n''&nbsp;=&nbsp;1,&nbsp;,&nbsp;21. The [[Rhind Mathematical Papyrus]] reports an odd ''n'' table up to 101.<ref>Imhausen, Annette, Ancient Egyptian Mathematics: New Perspectives on Old Sources, The Mathematical Intelligencer, Vol 28, Nr 1, 2006, pp.&nbsp;19–27</ref> These fraction tables were related to multiplication problems and the use of [[Egyptian fraction|unit fractions]], namely n/p scaled by LCM m to mn/mp. With the exception of 2/3, all fractions were represented as sums of unit fractions (i.e. of the form 1/n), first in red numbers. Multiplication algorithms and scaling factors involved repeated doubling of numbers, and other operations. Doubling a unit fraction with an even denominator was simple, divided the denominator by 2. Doubling a fraction with an odd denominator however results in a fraction of the form 2/n. The [[RMP 2/n table]] and RMP 36 rules allowed scribes to find decompositions of 2/n into unit fractions for specific needs, most often to solve otherwise un-scalable rational numbers (i.e. 28/97 in RMP 31,and 30/53 n RMP 36 by substituting 26/97 + 2/97 and 28/53 + 2/53) and generally n/p by (n - 2) /p + 2/p. Decompositions were unique. [[Red auxiliary numbers]] selected divisors of denominators mp that best summed to numerator mn.
 
==References==
{{reflist|30em}}
 
==External links==
*[http://www.legon.demon.co.uk/kahun.htm John Legon: A Kahun Mathematical Fragment]
*http://ahmespapyrus.blogspot.com/2009/01/ahmes-papyrus-new-and-old.html
*[http://mathforum.org/kb/thread.jspa?threadID=1543145&tstart=0 Math-History-List]
*[http://www.mathorigins.com/image%20grid/BRUCE%20OLD_010.htm MathOrigins.com]
*[http://webdigg.net/History/History-of-Egyptian-fractions/ History of Egyptian fractions]
*[http://www.digitalegypt.ucl.ac.uk/med/birthpapyrus.html Medical Papyrus, UCL website]
*[http://www.reshafim.org.il/ad/egypt/timelines/topics/kahunpapyrus.htm The Kahun Gynaecological Papyrus]
*{{planetmath reference|id=11008|title=Kahun papyrus}}
*{{planetmath reference|id=10080|title=Egyptian fraction}}
 
{{use dmy dates|date=February 2012}}
[[Category:Egyptian mathematics]]
[[Category:Egyptian fractions]]
[[Category:Egyptian papyri]]
[[Category:Ancient Egyptian literature]]
[[Category:Papyrus]]
[[Category:Mathematics manuscripts]]
[[Category:Medical literature]]
 
[[de:Medizinische Papyri aus Lahun]]
[[es:Papiro Kahun]]
[[fr:Papyrus Kahun]]
[[sv:Kahun-papyrusen]]

Latest revision as of 12:50, 10 October 2014

I am a robust believer that each person has that something amazing in them. Being positive like a sunflower makes our entire-self really feel great and this actually does assist in healing. Let your wonderful character shine. Even behind an acne face, there might be a tremendous persona. So let 'You' shine. Keep constructive. Smile and snigger. Apart from, laughter is the very best medicine, as many individuals say. And if I recall this correctly - it's a undeniable fact that we use a lot more facial muscle tissues once we frown than once we smile.



I lastly discovered a equipment that works on my sensitive pimple susceptible pores and skin! After two weeks my skin seemed superb and has stayed that approach for the final month since iv been utilizing it! My favorite product within the kit is the Green Apple Peel! If i feel How To Remove Blackheads From Nose Video my pores and skin is looking dull i pop the peel on for 10 mintues and my skin is radiant! I'll by no means use anything else! Are you completely fed up with the acne/eczema/psoriasis you’ve been living with for years, and want to How To Remove Blackheads From Nose With Glue clear your skin for good?

Mix white vinegar and water together, dip it with a cotton ball and clear your face, this helps get your skin again to its proper oil steadiness. Mix one teaspoon of corn starch (Kingsford's) with one teaspoon of ReaLemon juice to make a paste. Apply the past to the pimples and let it dry. This treatment helps clear the redness and clears the zits much sooner. You too can use ReaLemon as a daily cleanser. Apply it before going to bed and within the morning wash off the juice with cool water. Do this for several nights and you will definitely discover the zits clearing up.

Ayurveda too presents assist to those suffering from this irritating downside. There are a number of dwelling remedies for gasoline pain that you are able to do at home like consuming tea with a sprinkle of cinnamon or consuming caraway seeds. Consumption of peppermint tea too has a soothing effect. Another of Ayurveda's highly potent and efficient products is GSCare. This all -natural herbal complement treats circumstances like indigestion, constipation, fuel, diarrhea or irritable bowel syndrome. It depends on completely pure herbs and dietary supplements which cleanse the digestive tract and flushes out toxins. Together with aiding indigestion, it also helps control gas.

Zits Vanisher Max – customers can utilize the Pimples Vanisher Mask subsequent which tackles the deeper components of the pore. Like an everyday mask, this product is left on the face for significant quantities of time earlier than it's slowly removed. On the similar time, the mask gives important nutrients that would enable the skin http://kidshealth.org/kid/grow/body_stuff/acne.html to heal and regenerate. This particular product is typically used around a few times per week depending on the extent of publicity an individual has to dust and grime. But these reasons are actually not the true causes of zits. why isn’t anybody asking what’s causing the overproduction of oil by enlarged oil glands?

I'm glad to say this mask does not have a harsh odor. Right after we put it on I could feel a cooling sensation throughout my face. Sarah did not really feel the cooling. She stated she began to really feel the tightening after a few minutes. I think I utilized a thicker layer to my face then she did as a result of it took me longer to really feel the tightening effect and to turn grey. Be careful not to get it on the delicate space beneath the attention as a result of I had just a little there and the sensation was slightly unusual (it didn't harm however it felt bizarre).

There are some herbal remedies which can be used How To Get Rid Of Deep Blackheads From Nose specifically to alleviate the uncomfortable feeling associated with bloating. Digestive issues are often the reason for most bloating and gas related issues, therefore if you happen to take herbs to improve your body's digestive functions you can assist to get rid of gas. Chamomile and turmeric are nice when used to deal with extra fuel, acid and even inflammation of the digestive tract. Each, Chamomile and turmeric can be found in a capsule kind and can be found in many teas. Ingesting a glass of this hot tea at night can even make it easier to to loosen up and the style is amazingly good.

The “alien invader” of zits foods This food not solely causes pimples but in addition overworks your immune system leaving you feeling worse and prevents your pores and skin from healing. Page 50. A common well being meals that “sticks around” in your intestines This not solely causes acne but different well being issues too. Page fifty two. A “well being meals” advertising rip-off You must keep away from this food that’s usually touted as wholesome. And how avoiding it's really simple! Web page fifty four. An inventory of 90 completely different meals, beverages and substances you possibly can eat Deliver this to the grocery retailer subsequent time you buy groceries. Keep on with this checklist and you’ll be okay. Web page fifty eight.

I’m at the moment waiting for an American friend (Nick) to swing by my place so we can head up north(ish) to climb for the following 2 weeks. We’ll cease first in the Guelph/Milton space to climb, the place I’ll also be able to stop by my outdated climbing gym and catch up with my friends. Following that we’ll make our way to Collingwood for a day or two and then spend the rest of our time within the Lionshead area. Can not inform you how joyful I'm with the ability to climb and journey so frequently!