Mixture and Alligation Shortcut Methods. Mixture: Mixing of two or more than two type of quantities gives us a mixure. Quantities of these elements can be expressed as percentage or ratio. Percentage (2. 0% of sugar in water)Fraction ( A solution of sugar and water such that sugar : water = 1: 4)Alligation: Alligation is a rule which is used to solve the problems related to mixture and its ingredient. It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price. Free Quant practice questions for MBA entrance tests such as XAT, TANCET. Relatively easy topic. You are here: Home Practice Questions Mixtures & Alligations. This is the aptitude questions and answers section on 'Alligation or Mixture Important Formulas' with explanation. Home » Aptitude » Alligation or Mixture. We provide examples on Mixture and Alligation shortcut tricks. This type of problem are given in Quantitative Aptitude which is a. Alligation Rule. When two elements are mixed to make a mixture and one of the elements is cheaper and other one is costlier then,Here Mean Price is CP of mixture per unit quantity. Above rule can be written as,Then, Cheaper Quantity : Costlier Quantity = (D – M) : (M – C)Example. In what proportion must sugar at Rs 4. Rs 6. 0 per kg so that the mixture be Rs 5. Sol: Here, CP of Cheaper(C) = 4. CP of Costlier(D) = 6. Mean Price(M) = 5. Quantitative Aptitude, Averages, Mixtures and Alligations CAT. Quantitative Aptitude > Averages, Mixtures and Alligations. A special problem on mixtures. ALLIGATIONS PRACTICE PROBLEM ANSWERS Author: May Created Date: 8/11/2010 3:21:50 PM. Mixture problems occur in many different situations. Solving Mixture Problems: The Bucket Method Sandra Peterson, JD Learning Center. Alligations,Mixtures,Alloys. This is the aptitude questions and answers section on 'Alligation or Mixture. Mixture quiz questions with answers as PDF. Alligation or Mixture problems. Allegations And Mixtures Problems Pdf EditorSo from the rule of alligation we can say that. Proportion of Cheaper Sugar and Costlier Sugar is 1 : 3. Mixture of more than two elements. This method is a bit tricky initially but if you practice it then it becomes quite easy. If the mixture is of more than two ingredients, then write the prices of each ingredient below one another in ascending order. Write the mean price to the left of the list. Now make couples of prices in such a way that one price of the couple is below mean price and another price of the couple is above mean price. Now find the difference between each price and mean price and write it opposite to the price linked to it. This difference is required answer. Don’t worry if you don’t understand above paragraph. Try to understand above paragraph with the examples given below. Example. How must a shop owner mix 4 types of rice worth Rs 9. Rs 6. 0, Rs 9. 0 and Rs 5. Rs 8. 0 per kg? Sol: Here the prices of sugars are 9. And the mean price is 8. Now read the above paragraph and the image given below to understand this method. So the proportion of sugar is. Example. In what ratio must a person mix three kind of tea each of which has a price of 7. Sol: Here the prices of tea are 7. And mean price is 1. So the proportion of tea is. Shortcut Formulas for Mixture and Alligation. Rule 1. If n different vessels of equal size are filled with the mixture of P and Q in the ratio p. If the proportion of milk and water in the glasses are 3: 1, 2: 3 and 4: 2 then find the proportion of milk and water in the bigger bucket. Sol: Let’s say P stands for milk and Q stands for water,So, p. So in bigger bucket,Milk : Water = 1. Rule 2. If n different vessels of sizes x. If the proportion of milk and water in the glasses are 3: 1, 2: 3 and 4: 2 then find the proportion of milk and water in the bigger bucket. Sol: Let’s say P stands for milk and Q stands for water,So, p. So in bigger bucket,Milk : Water = 1. Rule 3: Removal and Replacement. If a vessel contains “x” litres of liquid A and if “y” litres be withdrawn and replaced by liquid B, then if “y” litres of the mixture be withdrawn and replaced by liquid B, and the operation is repeated . This process was further repeated two times. How much wine is there in the container now? Sol: Here x = 8. 0, y = 8 and n = 3, so. Quantity of wine after 3rd operation = 5. Rule 4: p gram of ingredient solution has a% ingredient in it. To increase the ingredient content to b% in the solution. Example. 12. 5 liter of mixture of milk and water contains 2. How much water must be added to it to make water 3. Sol: Let’s say p = 1. So from the equation. Quantity of water need to be added = 8.
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STATISTICAL SOFTWAREAlmost all serious statistical analysis is done in one of the following packages: R (S- PLUS), Matlab, SAS, SPSS and Stata. I have expertise in each of those packages but it does not mean that each of those packages is good for a specific type of analysis. In fact, for most advanced areas only 2- 3 packages will be suitable, providing enough functionality or enough tools to implement this functionality easily. For example, a very important area of Markov Chain Monte Carlo is doable in R, Matlab and SAS only, unless you want to rely on convoluted macros written by random users on the web. The table at the end of this page compares the five packages in great detail. R & MATLABR and Matlab are the richest systems by far. They contain an impressive collection of libraries, which is growing every day. 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It is quite useless for ambitious modeling and estimation procedures which are part of kernel smoothing, pattern recognition or signal processing. Nonetheless, SPSS is very popular among the practitioners because it does not require almost any training. All you have to do is hit several buttons and SPSS does all the calculations for you. In those cases when you need something standard, SPSS may have it implemented fully. The SPSS output will be quite detailed and visually pleasing. It will contain all the major tests and diagnostic tools associated with the method and will allow you to write an informative statistics section of your empirical analysis. Statistical Tool Matlab For LoopIn short, when the method is there, it is faster to run than a similar functionality in R or Matlab. So I use SPSS often for standard requests from my clients, like linear regression, ANOVA or principal components analysis. SPSS gives you the ability to program macros but that feature is quite inflexible. SAS & STATASomewhere in- between R, Matlab and SPSS lie SAS and Stata. SAS is more extensive analytics than Stata. Statistical Pattern Recongition Toolbox for Matlab. Version 2.13, 09-jan-2016: Removed XTAL regression package which truned out to contain. Numerical Computation, Statistical analysis and Visualization Using MATLAB and Tools Authors. Spatial Statistics Toolbox for Matlab and Fortran 90 SpaceStatPack are public domain spatial statistics software ideal for estimating large-scale spatial. It is composed of dozens of procedures with massive, massive output, often covering more than ten pages. The idea of SAS is not to listen to you that much. It is like an old grandfather, whom you approach with a simple question but instead he tells you the story of his life. Many procedures contain three times more than what you need to know about that segment. So some time has to be spent on filtering in the relevant output. SAS procedures are invoked using simple scripts. Stata procedures can be invoked by clicking buttons in the menu or by running simple scripts. In the menu part, Stata resembles SPSS. Both SAS and Stata are programming languages, so they allow you to build analytics around standard procedures. Stata is somewhat more flexible than SAS. Still, in terms of programming flexibility, Stata and SAS do not come even close to R or Matlab. Selected strengths of SAS compared to all other packages: large data sets, speed, beautiful graphics, flexibility in formatting the output, time series procedures, counting processes. Selected strengths of Stata compared to all other packages: manipulation of survey data (stratified samples, clustering), robust estimation and tests, longitudinal data methods, multivariate time series. THE TABLEThe following table compares the standard procedures of the five packages in detail. Get. Joomla. Templates. Free Blog » Blog Archive » Black, Red and White Joomla Templates. 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Despre cum apare un spectacol, despre cum bucatele din colturi diferite de tara sau de lume vin si se aseaza impreuna, cuminti, cu ajutorul regizorului si al dirijorului (si al multor altora, desigur, de la portar la pantofar) si ceea ce iese din aceasta punere in matca se numeste ,,spectacol rotund. Dar, pentru acum, pentru acest spectacol cu ,,Norma. Ci la ceva care tine altfel de ritul facerii, de lumirea ei, de bunul final. Am asistat la forfota aceea deosebita de dupa aplauze, nu in culise ci la cabinele artistilor din La Fenice, teatru unde romanca noastra, mezzosoprana Roxana Constantinescu, a fost omul care a dus spectacolul, alaturi de soprana Mariella Devia, diva Italiei. Fiecare spectacol are viata lui, iar azi, greul a fost dus, magistral, de DOAMNELE scenei, Devia si Constantinescu. Sigur, basul a fost bun. Sigur, si tenorul si- a dat drumul, pana la urma. Dar acest fantastic binom, Devia- Constantinescu, a dat, pe langa culoare, gust, forma, sunet, caldura si tot ce mai vreti, din spectrul de aproape de noi, si VRAJA aceea a inefabilului, cum ca spectacolul mare, cel de dincolo de timp si de material, are loc sub ochii nostri si ne face partasi in ghemul ei, al vrajii, si ca respiram in ritmul celor doua soliste, cu sufletul la gura, de parca niciodata nu am fi aflat finalul din ,,Norma. Decor, costume, peruci - o lume a Africii negre. A lumii despre care Kara Walker s- a angajat sa vorbeasca permanent prin operele sale. Colinele mastilor africane, dupa care se desfasoara totul. Lumea romanilor si a druizilor e lumea oricarui cucerit alaturi de care cuceritorul mimeaza bunavointa. Apoi vine dragostea. Care nu tine seama de diferente de rang, de politica, de zei, chiar. Insa dragostea are ca hop nu doar piedicile care despart, social, un ,,el. Amestecul dintre dorinta de apropiere fata de dragostea noua, regretele fata de cea veche, frica fata de consecinte. Cele de acum, conturate pentru noi, in La Fenice, cu artisti cu caractere aparte, cu idei ce coloreaza in maniera proprie ACEASTA ,,Norma. Si ce vrei sa spui cu ea. Kara Walker vine cu Africa ei, cum spuneam, cu imense picturi care iti ard retina, cu opere mai degraba statice - apreciezi fotografia momentului de pe scena - pentru ca pe desfasurarea actiunii, ca gest gandit si coordonat, nu s- a insistat. Avem, mai degraba, o succesiune de stampe - impresionante prin frumusesea lor dar in care gestul corului, al ,,oamenilor multi. Si intr- un moment aparte, fiind ziua de doliu al Italiei dupa sutele de morti ai cutremurului ce a lovit, spre finele lui august, peninsula. Ajung cu 1. 0 minute inainte de inceperea spectacolului in dreptul Intrarii Artistilor - un instrumentist se indreapta agale spre intrarea lor. Intru, incarcata de aceeasi bucurie ca intotdeauna, in La Fenice. De copil, de cand cu primele intalniri cu Verdi, visasem sa ajung aici, si la La Scala. Si la alte cateva opere de pe continent. Am ajuns. Comparand La Fenice cu La Scala, poate prima are ceva din aerul unui loc mai mic, dar, in mod cert, este mult mai plina de suflet, pe care nu l- au alungat incendii, recesiuni, directorate si viziuni diferite. La Scala are ceva din pompa stearpa, mai degraba funebra, de ciocli care- ti gestioneaza cu ochi rai circuitul in cladire, respiratia, sufletul. In Venetia nu este asa - respiri mai larg, te apropii de spectacol mai in pace, si cu mai mare acces la frumusetea exterioara, pentru a o pregati pe cea a sufletului tau. Am vazut aici mai multe spectacole, mereu de pe partea dreapta a salii (asa s- a nimerit sau asa am cerut), de mai sus sau de mai de jos, cum s- a putut, atenta la toate detaliile vizibile. Mereu incantata la a participa la vraja - mereu oferindu- mi- se o vraja, care a meritat aplauze, care mi- a ridicat intrebari, care m- a facut sa plec adaugand substanta la ceea ce deja eram. Ne ridicam pentru un moment de reculegere. Apoi, imaginea ce deja ne introduce in ritmul liniilor Africii negre se duce si incepe totul. Pollione intra in scena cu Flavio, in genul vanatorilor de la un safari si, pentru o vreme, ai senzatia ca tenorul Roberto Aronica se afla intr- o zi tare aiurea, vocal. Mariella Devia incepe ,,Casta Diva. Copacul de margean al vocii ei nu este escavat din trairile celorlalti ci creste liber peste ele, se ridica, umple si traseaza reguli noi, proprii, ale unei voci ce serveste povestea iar spectacolul incepe acum, abia acum, si ai garantia ca te va lua si te va duce acolo, intre colinele fierbinti ale pasiunii si tradarii, in care placile tectonice ale binoamelor ce se intalnesc, dureros, sunt ale dragostei si tradarii, ale sperantei si lipseri de curaj, ale dorintei de libertate si necesitatii de a supune. Cadrul fusese asigurat - de acum era timpul vocilor sa rodeasca. Despre axa omului. Devia scenei e o afro, desigur, prin peruca. Universala in rest – clocotitoare prin voce, cu gestica de care se ajuta, soprana face din scena tinda pentru palatul trairilor ei. Cu ajutorul Adalgisei, caci iat- o si pe mezzosoprana romanca pentru care mi- am dorit sa vad ,,Norma. Bucuresteanca Roxana Constantinescu este ,,partea alba. O alegere excelenta, o tija firava si totusi atata de rezistenta si eficace atunci cand este vorba de voce, care completeaza ,,ca rupta din locul acela. Tot astfel stau si- n fata ta, fecioara, si ma cutremur. Spune- mi, esti zeita sau esti fiinta pamanteana? Ridic mana a salut, asa, aproape nestiut, langa tabloul Mariei Callas, de pe unul dintre coridoare - un must, mereu. A avut si ea, Callas, povestile ei cu ,,Norma. Stabilim ca ne vedem dupa. Actul doi, acelasi ghem de trairi din partea celor doua dive ale serii, unde tenorul puncteaza si el, bine, ca un fel de frunza intre doua flori. Imaginile Karei Walker sunt, iar, batatoare la usa ochiului, si caldura si misterul aduse cu ele, alaturi de firescul jocului, si de participarea deosebita a vocilor, te fac pe tine, spectator, sa fii furat de curgerea intregului si sa speri, impotriva logicii si a memoriei, ca ,,Norma. Nu invinge, decat o mica batalie din lupta majora, si, din aceasta frustrare, sporita de lumina ce rascoleste culori si trairi, pleci cu intrebari, ce- si pun semintele in colturi ale tale ce nici nu banuiai ca exista in tine, pana atunci. Aplauzele finale ne reunesc pe cei ce am fost martorii acestui spectacol de fine de august. Frustrati, oarecum, ca nu am putut sa NE aplaudam solistii la iesiri aparte, spre noi, la arlechin, atunci cand am fi vrut (tinand de felul cortinei, cum discut mai apoi cu Roxana), ii rasplatim acum. Posesiunea pronumelui vine din lucrul bun trait impreuna. Azi, acum, la final, in minutele de aplauze, ei sunt ai nostri si noi ai lor, pentru ca am trecut de asepsia tatonarilor, a asteptarilor, a linistii datorate actului artistic - acum e timpul ovatiilor, al imbratisarilor acustice, al raspunsului pe care noi, publicul, il sadim in marele istoric din Teatro La Fenice, ca pentru fiecare nobila frumusete ce s- a oferit, de mai bine de doua secole, aici, dinspre scena.,,Ambasada. Trec, aproape imperator, de cerbera dinspre zona artistilor, ,,acolo e o fata, fata mea, intelegi?, superba Adalgisa, si vreau la ea. Cea mai mare parte de oameni e la usa Mariellei Devia, multi- multi orientali, apoi cativa barbati de varsta medie, apoi cateva doamne in varsta. Sa spunem aici ca Devia este cea care, dupa o cariera merituoasa, a debutat in Norma la 6. Dupa cabina lui Devia vine cea a lui Aronica, apoi cea a Roxanei Constantinescu, apoi Simon Lim, basul ce a cantat (bine) in rolul Oroveso. Se strecoara printre noi cei care- i ajuta pe artisti. Fac o fotografie cu explicatia de la usa Roxanei - zambesc, avem acelasi ,,- escu. Costumiera are un petic de hartie cu indicatii si nume agatat de propria haina - probabil cu toate detaliile pe care le are de ridicat de la cate un costum. Nimeni nu se uita urat la noi ca incurcam locul cu forfota noastra. De altfel, noi, cei ,,ai Roxanei. In stanga mea, un barbat inalt, de o frumusete aparte, aproape lipit de peretele opus usii Roxanei, din dorinta de a nu incurca. Nu e din lumea asta, a nonsalantilor vanatori de autografe, nu e nici stanjenit de lumea asta - apoi il vad langa Roxana, si e clar din ce lume e: din lumea lor. E Vincent, logodnicul Roxanei, si, din ce mi- a povestit despre ei, lumea lor e asa frumoasa si aparte, ca- i poti invidia. O armonie ce s- a cladit bine, fara sa fie nevoie sa le bata amandurora reflectoarele- n cap. Le- a ajuns sufletul. Vincent intra, raman doar eu cu celalalt barbat inalt al ambasadei noastre mici. Devia inca nu a iesit, grupul ei se agita, freamata, toti ii pandesc in picioare usa, toti au aerul ca asteapta o prada, din care vor sa rupa ceva. Oare oamenii acestia realizeaza ca Mariella Devia nu a cantat singura si ca a fost acompaniata magistral de Roxana noastra? As fi vrut sa vad mai multa lume si aici, la cativa metri, la usa aceasta. Si ma asez pe bancheta de aici, infoindu- ma- n sal, ca o Rosa Parks pe scaunul ei de autobuz. E micul meu semn de exclamare. Stiu sigur ca maine (maine – candva), usa Roxanei va fi din ce in ce mai asaltata. Si barbatul de langa mine stie. Mi- e clar lucrul asta. A coridoarelor artistilor, a luminilor si umbrelor lor, a birourilor unde se iau deciziile. Dinspre mainile frumoase si nervoase ce par sa fi intalnit pianul, dinspre mersul nerabdator si impetuos de pe acel coridor - un mers de cal pur sange ce trece printre. Ceilalti, toti, se strang ciorchine in jurul sopranei, flori, fotografii, replici admirative, retragere cu surle si fanfare. Il vad pe Charles ca rade. Ii spun: ,,Ce vrei, sunt ziarist! Aproba: ,,La Fenice are multe detalii aparte, doar sa le vezi. Find a graduate program in the mathematical sciences. Welcome to the online version of the Find Graduate Programs in the Mathematical Sciences. Currently #### graduate programs are listed (including #### featured listings). The Department of Mathematics offers a program leading to the degree of Doctor of Philosophy. The PhD program is an intensive course of. An exciting opportunity to advance your knowledge of Mathematics and Statistics Mathematics Programs. The mathematics division offers programs leading to MSc and PhD. Prerequisites The Department of Mathematics offers 2 PhD degrees, one in Mathematics and one in Applied Mathematics. Applicants for admission to either PhD program. Rank the top 128 Mathematics graduate programs in the US using the latest National Research Council data. About the rankings » The box plots in the 'Rank' column. 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