formulasearchengine - User contributions [en]

Simplex algorithm

2014-12-09T10:36:10Z

131.211.63.92: /* Leaving variable selection */

It is very common to have a dental emergency -- a fractured tooth, an abscess, or severe pain when chewing. Over-the-counter pain medication is just masking the problem. Seeing an emergency dentist is critical to getting the source of the problem diagnosed and corrected as soon as possible. Here are some common dental emergencies: Toothache: The most common dental emergency. This generally means a badly decayed tooth. As the pain affects the tooth's nerve, treatment involves gently removing any debris lodged in the cavity being careful not to poke deep as this will cause severe pain if the nerve is touched. Next rinse vigorously with warm water. Then soak a small piece of cotton in oil of cloves and insert it in the cavity. This will give temporary relief until a dentist can be reached. At times the pain may have a more obscure location such as decay under an old filling. As this can be only corrected by a dentist there are two things you can do to help the pain. Administer a pain pill (aspirin or some other analgesic) internally or dissolve a tablet in a half glass (4 oz) of warm water holding it in the mouth for several minutes before spitting it out. DO NOT PLACE A WHOLE TABLET OR ANY PART OF IT IN THE TOOTH OR AGAINST THE SOFT GUM TISSUE AS IT WILL RESULT IN A NASTY BURN. Swollen Jaw: This may be caused by several conditions the most probable being an abscessed tooth. In any case the treatment should be to reduce pain and swelling. An ice pack held on the outside of the jaw, (ten minutes on and ten minutes off) will take care of both. If this does not control the pain, an analgesic tablet can be given every four hours. Other Oral Injuries: Broken teeth, cut lips, bitten tongue or lips if severe means a trip to a dentist as soon as possible. In the mean time rinse the mouth with warm water and place cold compression the face opposite the injury. If there is a lot of bleeding, apply direct pressure to the bleeding area. If bleeding does not stop get patient to the emergency room of a hospital as stitches may be necessary. Prolonged Bleeding Following Extraction: Place a gauze pad or better still a moistened tea bag over the socket and have the patient bite down gently on it for 30 to 45 minutes. The tannic acid in the tea seeps into the tissues and often helps stop the bleeding. If bleeding continues after two hours, call the dentist or take patient to the emergency room of the nearest hospital. Broken Jaw: If you suspect the patient's jaw is broken, bring the upper and lower teeth together. Put a necktie, handkerchief or towel under the chin, tying it over the head to immobilize the jaw until you can get the patient to a dentist or the emergency room of a hospital. Painful Erupting Tooth: In young children teething pain can come from a loose baby tooth or from an erupting permanent tooth. Some relief can be given by crushing a little ice and wrapping it in gauze or a clean piece of cloth and putting it directly on the tooth or gum tissue where it hurts. The numbing effect of the cold, along with an appropriate dose of aspirin, usually provides temporary relief. In young adults, an erupting 3rd molar (Wisdom tooth), especially if it is impacted, can cause the jaw to swell and be quite painful. Often the gum around the tooth will show signs of infection. Temporary relief can be had by giving aspirin or some other painkiller and by dissolving an aspirin in half a glass of warm water and holding this solution in the mouth over the sore gum. AGAIN DO NOT PLACE A TABLET DIRECTLY OVER THE GUM OR CHEEK OR USE THE ASPIRIN SOLUTION ANY STRONGER THAN RECOMMENDED TO PREVENT BURNING THE TISSUE. The swelling of the jaw can be reduced by using an ice pack on the outside of the face at intervals of ten minutes on and ten minutes off. If you have any questions relating to where and ways to utilize [http://www.youtube.com/watch?v=90z1mmiwNS8 Dentists in DC], you can call us at our own site.

Classical XY model

2014-02-17T13:42:50Z

131.211.43.208:

Over time, the data on the hard drive gets scattered. Defragmenting your difficult drive puts your data into sequential purchase, making it easier for Windows to access it. As a outcome, the performance of the computer will boost. An excellent registry cleaner allows do this task. However if you would like to defrag a PC with Windows software. Here a link to show you how. Registry is not furthermore significant to quick computer boot up, but also crucial to the performance of the computer. If you have a registry error, we might face blue screen, freezing or crash. It's necessary to frequently clean up the invalid, missing, junk registry keys to keep the computer healthy and running quick. System tray icon makes it easy to launch the system and displays "clean" status or the amount of errors inside the last scan. The ability to locate and remove the Invalid class keys plus shell extensions is regarded as the leading blessings of the system. That is not usual function for the different Registry Cleaners. Class keys plus shell extensions which are not working will seriously slow down a computer. RegCure scans to obtain invalid entries plus delete them. There are tips to create a slow computer work efficient plus swiftly. In this particular article, I may tell we only 3 best strategies or techniques to avoid a computer of being slow and instead of that create it quicker plus function even much better than before. To fix the issue which is caused by registry error, you have to utilize a [http://bestregistrycleanerfix.com/tune-up-utilities tuneup utilities 2014]. That is the safest plus easiest technique for average PC users. However there are thousands of registry cleaners accessible out there. You have to discover a good one that really can resolve a problem. If you use a terrible one, we can anticipate more problems. The initially thing you need to do is to reinstall any program that shows the error. It's typical for countless computers to have particular programs which require this DLL to show the error when we try and load it up. If you see a particular program show the error, you need to initially uninstall that program, restart the PC plus then resinstall the system again. This must substitute the damaged ac1st16.dll file plus remedy the error. The initial reason the computer might be slow is considering it requirements more RAM. You'll notice this matter right away, incredibly when you have less than a gig of RAM. Most unique computers come with a least that much. While Microsoft claims Windows XP could run on 128 MB, it plus Vista want at least a gig to run smoothly plus let you to run several programs at when. Fortunately, the cost of RAM has dropped significantly, plus you can get a gig installed for $100 or less. Before we buy a entire new system; it happens to be time to receive the aged 1 cleaned up to start getting more completed online today! Visit our website under plus access the many reputable registry cleaner software available.

Coherent effects in semiconductor optics

2014-01-17T12:42:38Z

131.211.151.41: Minor grammatical error: double preposition where one was needed

{{Infobox enzyme
| Name = Malonyl-S-ACP decarboxylase
| EC_number = 4.1.1.87
| CAS_number =
| IUBMB_EC_number = 4/1/1/87
| GO_code =
| image =
| width =
| caption =
}}
'''Malonyl-S-ACP decarboxylase''' ({{EC number|4.1.1.87}}, ''malonyl-S-acyl-carrier protein decarboxylase'', ''MdcD/MdcE'', ''MdcD,E'') is an [[enzyme]] with system name ''malonyl-(acyl-carrier-protein) carboxy-lyase''.<ref>{{cite journal | title = Malonate decarboxylase of Klebsiella pneumoniae catalyses the turnover of acetyl and malonyl thioester residues on a coenzyme-A-like prosthetic group |author = Schmid, M., Berg, M., Hilbi, H. and Dimroth, P. |journal = Eur. J. Biochem. |date = 1996 |volume = 237 |pages = 221-228 |pmid = 8620876}}</ref><ref>{{cite journal | title = Functional evaluation of the genes involved in malonate decarboxylation by Acinetobacter calcoaceticus |author = Koo, J.H. and Kim, Y.S. |journal = Eur. J. Biochem. |date = 1999 |volume = 266 |pages = 683-690 |pmid = 10561613}}</ref><ref>{{cite journal | title = Stereochemical course of biotin-independent malonate decarboxylase catalysis |author = Handa, S., Koo, J.H., Kim, Y.S. and Floss, H.G. |journal = Arch. Biochem. Biophys. |date = 1999 |volume = 370 |pages = 93-96 |pmid = 10496981}}</ref><ref>{{cite journal | title = Functions of malonate decarboxylase subunits from Pseudomonas putida |author = Chohnan, S., Akagi, K. and Takamura, Y. |journal = Biosci. Biotechnol. Biochem. |date = 2003 |volume = 67 |pages = 214-217 |pmid = 12619701}}</ref><ref>{{cite journal | title = Enzymic and genetic basis for bacterial growth on malonate |author = Dimroth, P. and Hilbi, H. |journal = Mol. Microbiol. |date = 1997 |volume = 25 |pages = 3-10 |pmid = 11902724}}</ref> This enzyme [[catalysis|catalyses]] the following [[chemical reaction]]

: a malonyl-[acyl-carrier protein] + H+ <math>\rightleftharpoons</math> an acetyl-[acyl-carrier protein] + CO2

This enzyme comprises the beta and gamma subunits of the enzyme [[EC 4.1.1.88]].

== References ==
{{reflist}}

== External links ==
* {{MeshName|Malonyl-S-ACP+decarboxylase}}

[[Category:EC 4.1.1]]

Connected sum

2013-11-13T14:40:44Z

131.211.22.109: /* Connected sum along a submanifold */ duplicate entry in diffeomorphism diagram.

{{see also|millennium|2000|Y2K|2000 (disambiguation)}}
{{Infobox number
| number = 2000
| unicode = MM, mm
}}
{{wiktionary|two thousand}}

'''2000''' ('''two thousand''') is the [[natural number]] following 1999 and preceding 2001.

Two thousand is the highest number expressible using only two unmodified characters in [[roman numerals]] (MM).

Two thousand is also:
* In the name of the products [[Lever 2000]] and Grecian 2000, [[Windows 2000]]
* In ''[[Star Trek]]'', the registry number of the USS Excelsior, NX-2000 in ''[[Star Trek III: The Search for Spock]]'', and NCC-2000 commanded by [[Hikaru Sulu]] in ''[[Star Trek VI: The Undiscovered Country]]''.
* The postal code for [[Antwerp]] ([[Belgium]]) and [[Sydney]] (Australia)

== Selected numbers in the range 2001–2999 ==

* '''2001''' – [[sphenic number]]
* '''2003''' – [[Sophie Germain prime]] and the smallest prime number in 2000's
* '''2005''' – A vertically symmetric number
* '''2009''' – <math>7^4 - 7^3 - 7^2</math>
* '''2011''' – [[Sexy prime]] number. Also, sum of eleven consecutive primes: 2011=157+163+167+173+179+181+191+193+197+199+211.
* '''2015''' – [[Lucas–Carmichael number]]
* '''2016''' – [[triangular number]]
* '''2017''' – [[Mertens function]] zero. (2011, 2017) is a [[sexy prime]] pair.
* '''2020''' – sum of the [[totient]] function for the first 81 integers
* '''2024''' – [[tetrahedral number]]
* '''2025''' – <math>45^2</math>, sum of the cubes of the first nine integers, [[centered octagonal number]]
* '''2027''' – [[safe prime]]
* '''2029''' – member of the [[Mian–Chowla sequence]]
* '''2030''' – <math>21^2 + 22^2 + 23^2 + 24^2</math>, <math>25^2 + 26^2 + 27^2</math>
* '''2031''' – [[centered pentagonal number]]
* '''2039''' – Sophie Germain prime, safe prime
* '''2047''' – [[super-Poulet number]], [[Woodall number]], [[decagonal number]]. Also, 2047 = 211 − 1 = 23 × 89 and is the first [[Mersenne number]] that is composite for a prime exponent.
* '''2048''' – [[power of two]]
* '''2056''' – [[magic constant]] of ''n''×''n'' normal [[magic square]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 16.
* '''2060''' – sum of the totient function for the first 82 integers
* '''2063''' – Sophie Germain prime, safe prime
* '''2069''' – Sophie Germain prime
* '''2070''' – [[pronic number]]
* '''2080''' – triangular number
* '''2093''' – Mertens function zero
* '''2095''' – Mertens function zero
* '''2096''' – Mertens function zero
* '''2097''' – Mertens function zero
* '''2099''' – Mertens function zero, safe prime, [[highly cototient number]]
* '''2100''' – Mertens function zero
* '''2101''' – [[centered heptagonal number]]
* '''2107''' – member of a [[Ruth–Aaron pair]] with 2108 (first definition)
* '''2108''' – member of a Ruth–Aaron pair with 2107 (first definition)
* '''2109''' – [[square pyramidal number]]
* '''2112''' – The break-through album of the band [[2112 (album)|Rush]]
* '''2113''' – Mertens function zero, [[Proth prime]], [[centered square number]]
* '''2116''' – <math>46^2</math>
* '''2117''' – Mertens function zero
* '''2119''' – Mertens function zero
* '''2120''' – Mertens function zero
* '''2122''' – Mertens function zero
* '''2125''' – [[nonagonal number]]
* '''2127''' – sum of the first 34 primes
* '''2129''' – Sophie Germain prime
* '''2135''' – Mertens function zero
* '''2136''' – Mertens function zero
* '''2138''' – Mertens function zero
* '''2141''' – Sophie Germain prime
* '''2142''' – sum of the totient function for the first 83 integers
* '''2143''' – almost exactly 22π4
* '''2145''' – triangular number
* '''2162''' – pronic number
* '''2166''' – sum of the totient function for the first 84 integers
* '''2169''' – [[Leyland number]]
* '''2171''' – Mertens function zero
* '''2172''' – Mertens function zero
* '''2178''' – reverses when multiplied by 4
* '''2175''' – smallest number requiring 143 seventh powers for Waring representation
* '''2176''' – [[pentagonal pyramidal number]], centered pentagonal number
* '''2179''' – [[Wedderburn–Etherington number]]
* '''2187''' – <math>3^7</math>, [[vampire number]], [[perfect totient number]]
* '''2188''' – [[Motzkin number]]
* '''2197''' – <math>13^3</math>
* '''2199''' – perfect totient number
* '''2201''' – only known non-palindromic number whose [[cube]] is [[palindromic number|palindromic]]; also no known fourth or higher powers are palindromic for non-palindromic numbers
* '''2205''' – odd [[abundant number]]
* '''2207''' – safe prime, [[Lucas prime]]
* '''2208''' – [[Keith number]]
* '''2209''' – <math>47^2</math>, centered octagonal number
* '''2211''' – triangular number
* '''2222''' – [[repdigit]]
* '''2223''' – [[Kaprekar number]]
* '''2230''' – sum of the totient function for the first 85 integers
* '''2232''' – decagonal number
* '''2245''' – centered square number
* '''2254''' – member of the Mian–Chowla sequence
* '''2255''' – [[octahedral number]]
* '''2256''' – pronic number
* '''2269''' – [[cuban prime]]
* '''2272''' – sum of the totient function for the first 86 integers
* '''2273''' – Sophie Germain prime
* '''2276''' – sum of the first 35 primes, centered heptagonal number
* '''2278''' – triangular number
* '''2287''' – [[balanced prime]]
* '''2294''' – Mertens function zero
* '''2295''' – Mertens function zero
* '''2296''' – Mertens function zero
* '''2299''' – member of a Ruth–Aaron pair with 2300 (first definition)
* '''2300''' – tetrahedral number, member of a Ruth–Aaron pair with 2299 (first definition)
* '''2301''' – nonagonal number
* '''2304''' – <math>48^2</math>
* '''2306''' – Mertens function zero
* '''2309''' – [[primorial prime]], Mertens function zero, highly cototient number
* '''2310''' – fifth [[primorial]]
* '''2311''' – primorial prime
* '''2321''' – Mertens function zero
* '''2322''' – Mertens function zero
* '''2326''' – centered pentagonal number
* '''2328''' – sum of the totient function for the first 87 integers, the number of groups of order 128, see [http://www-public.tu-bs.de:8080/~beick/soft/small/small.html].
* '''2331''' – [[centered cube number]]
* '''2338''' – Mertens function zero
* '''2339''' – Sophie Germain prime
* '''2346''' – triangular number
* '''2351''' – Sophie Germain prime
* '''2352''' – pronic number
* '''2357''' – [[Smarandache–Wellin prime]]
* '''2368''' – sum of the totient function for the first 88 integers
* '''2378''' – [[Pell number]]
* '''2379''' – member of the Mian–Chowla sequence
* '''2381''' – centered square number
* '''2393''' – Sophie Germain prime
* '''2397''' – sum of the squares of the first ten primes
* '''2399''' – Sophie Germain prime
* '''2400''' – perfect score on [[SAT]] tests administered after 2005
* '''2401''' – <math>7^4</math>, <math>49^2</math>, centered octagonal number
* '''2415''' – triangular number
* '''2417''' – balanced prime
* '''2425''' – decagonal number
* '''2427''' – sum of the first 36 primes
* '''2431''' – product of three consecutive primes
* '''2437''' – cuban prime
* '''2447''' – safe prime
* '''2450''' – pronic number
* '''2456''' – sum of the totient function for the first 89 integers
* '''2458''' – centered heptagonal number
* '''2459''' – Sophie Germain prime, safe prime
* '''2465''' – [[magic constant]] of ''n''×''n'' normal [[magic square]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 17, [[Carmichael number]]
* '''2470''' – square pyramidal number
* '''2480''' – sum of the totient function for the first 90 integers
* '''2481''' – centered pentagonal number
* '''2484''' – nonagonal number
* '''2485''' – triangular number
* '''2491''' – member of [[Ruth–Aaron pair]] with 2492 under second definition
* '''2492''' – member of Ruth–Aaron pair with 2491 under second definition
* '''2500''' – <math>50^2</math>
* '''2501''' – Mertens function zero
* '''2502''' – Mertens function zero
* '''2510''' – member of the Mian–Chowla sequence
* '''2513''' – member of the [[Padovan sequence]]
* '''2517''' – Mertens function zero
* '''2519''' – the smallest number congruent to 1 (mod 2), 2 (mod 3), 3 (mod 4), ..., 9 (mod 10)
* '''2520''' – [[superior highly composite number]]; smallest number divisible by numbers [[1 (number)|1]], 2, 3, 4, 5, 6, 7, 8, 9, 10, and 12 ; [[colossally abundant number]]; [[Harshad number]] in several bases. It is also the highest number with more divisors than any number less than double itself.{{OEIS|id=A072938}} Not only is it the 7th (and last) number with more divisors than any number double itself but it also the 7th number that is highly composite and the lowest common multiple of a consecutive set of integers from 1 {{OEIS|id=A095921}} which is a property the previous number with this pattern of divisors does not have ([[360 (number)|360]]). That is, although 360 and 2520 both have more divisors than any number twice themselves, 2520 is the lowest number divisible by both 1 to 9 and 1 to 10, whereas 360 is not the lowest number divisible by 1 to 6 (which [[60 (number)|60]] is) and is not divisible by 1 to 7 (which [[420 (number)|420]] is). It is also the 6th and largest highly composite number that is a divisor of every higher highly composite number.{{OEIS|id=A106037}}
* '''2521''' – centered square number
* '''2522''' – Mertens function zero
* '''2523''' – Mertens function zero
* '''2524''' – Mertens function zero
* '''2525''' – Mertens function zero
* '''2530''' – Mertens function zero, Leyland number
* '''2533''' – Mertens function zero
* '''2537''' – Mertens function zero
* '''2538''' – Mertens function zero
* '''2543''' – Sophie Germain prime
* '''2549''' – Sophie Germain prime
* '''2550''' – pronic number
* '''2552''' – sum of the totient function for the first 91 integers
* '''2556''' – triangular number
* '''2567''' – Mertens function zero
* '''2568''' – Mertens function zero. Also number of digits in the [[decimal]] expansion of 1000[[factorial|!]], or the [[product (mathematics)|product]] of all [[natural number]]s from 1 to 1000.
* '''2570''' – Mertens function zero
* '''2579''' – safe prime
* '''2580''' – Keith number
* '''2584''' – [[Fibonacci number]], sum of the first 37 primes
* '''2596''' – sum of the totient function for the first 92 integers
* '''2600''' – tetrahedral number, member of a [[Ruth–Aaron pair]] with 2601 (first definition)
** 2600 [[Hertz|Hz]] is the tone used by a [[blue box]] to defeat toll charges on [[long distance telephone call]]s.
** [[2600: The Hacker Quarterly]] is a magazine named after the above.
** The [[Atari 2600]] was a popular [[video game console]].
** Current year (Zoroastrian calendar)
* '''2601''' – <math>51^2</math>, member of a [[Ruth–Aaron pair]] with 2600 (first definition)
* '''2620''' – [[amicable number]] with 2924
* '''2626''' – decagonal number
* '''2628''' – triangular number
* '''2632''' – number of consecutive baseball games played by [[Cal Ripken, Jr.]]
* '''2641''' – centered pentagonal number
* '''2647''' – centered heptagonal number
* '''2652''' – pronic number
* '''2656''' – sum of the totient function for the first 93 integers
* '''2665''' – centered square number
* '''2674''' – nonagonal number
* '''2677''' – balanced prime
* '''2680''' – number of [[Eight queens puzzle|11-queens problem]] solutions
* '''2689''' – Mertens function zero, Proth prime
* '''2693''' – Sophie Germain prime
* '''2699''' – Sophie Germain prime
* '''2701''' – triangular number, super-Poulet number
* '''2702''' – sum of the totient function for the first 94 integers
* '''2704''' – <math>52^2</math>
* '''2728''' – Kaprekar number
* '''2729''' – highly cototient number
* '''2731''' – [[Wagstaff prime]]
* '''2736''' – octahedral number
* '''2741''' – Sophie Germain prime
* '''2744''' – <math>14^3</math>
* '''2747''' – sum of the first 38 primes
* '''2753''' – Sophie Germain prime, Proth prime
* '''2756''' – pronic number
* '''2774''' – sum of the totient function for the first 95 integers
* '''2775''' – triangular number
* '''2780''' – member of the Mian–Chowla sequence
* '''2783''' – member of a Ruth–Aaron pair with 2784 (first definition)
* '''2784''' – member of a Ruth–Aaron pair with 2783 (first definition)
* '''2791''' – cuban prime
* '''2801''' - first base 7 [[repunit]] prime
* '''2806''' – centered pentagonal number, sum of the totient function for the first 96 integers
* '''2809''' – <math>53^2</math>, centered octagonal number
* '''2813''' – centered square number
* '''2819''' – Sophie Germain prime, safe prime
* '''2821''' – Carmichael number
* '''2835''' – odd abundant number, decagonal number
* '''2843''' – centered heptagonal prime
* '''2850''' – triangular number
* '''2862''' – pronic number
* '''2870''' – square pyramidal number
* '''2871''' – nonagonal number
* '''2872''' – [[tetranacci number]]
* '''2879''' – safe prime
* '''2897''' – [[Markov number]]
* '''2902''' – sum of the totient function for the first 97 integers
* '''2903''' – Sophie Germain prime, safe prime, balanced prime
* '''2914''' – sum of the first 39 primes
* '''2915''' – Lucas–Carmichael number
* '''2916''' – <math>54^2</math>
* '''2924''' – amicable number with 2620
* '''2925''' – [[magic constant]] of ''n''×''n'' normal [[magic square]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 18, tetrahedral number, member of the Mian-Chowla sequence
* '''2926''' – triangular number
* '''2939''' – Sophie Germain prime
* '''2944''' – sum of the totient function for the first 98 integers
* '''2963''' – Sophie Germain prime, safe prime, balanced prime
* '''2965''' – greater of second pair of [[Smith number|Smith brothers]], centered square number
* '''2969''' – Sophie Germain prime
* '''2970''' – [[harmonic divisor number]], pronic number
* '''2976''' – centered pentagonal number
* '''2997''' – chiliagonal number
* '''2999''' – safe prime

[[Category:Integers|299E03 2000]]