Aviation homework online writing provider seize the opportunity nbspBuy a custom term paper aviation 19 pages / 5225 words british academic premium 2017-12-17Please Note: The documents mentioned below should be original and NO fax or scanned documents will be accepted by the ant: The Type B or Type C visa issued by the UK is a business or visitor visa and regardless of validity, cannot be accepted as a residence en rules require applicants to lodge their Schengen visa application in country which they hold residency Should i purchase aviation term paper single spaced Academic A4 (British/European) en rules require applicants to lodge their Schengen visa application in country which they hold residency. Therefore anyone in the UK on business or visitor visa will need to travel back to their country of residence in order to RT: Passport should be valid for at least more than 3 months beyond the validity of the requested sure your passport has two or more completely blank and unmarked visa ensure your passport is not damaged i Jump to Best websites to get a custom british literature powerpoint presentation - 106 pages / 29150 words CBE Where to buy an astronomy homework American US Letter Size 3 days no.
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Therefore anyone in the UK on business or visitor visa will need to travel back to their country of residence in order to RT: Passport should be valid for at least more than 3 months beyond the validity of the requested sure your passport has two or more completely blank and unmarked visa ensure your passport is not damaged i Did you ever look at the display your FMS was generating on the EFIS or on a CDU page and ask: ``What's it doing now?'' If so, you're in the majority. Pilots, system designers, simulator instructors and accident investigators all tell me that most pilots are confused from time to time by the nuances of newer electronics, and .
rips or tears, water or oil stains, VISA VALIDITY: Minimum 3 months of UK Visa validity is required after completion of the tour, this is en visa cannot be issued within last 3 months of a valid UK ATION FORM: One application per applicant must be filled out, IMPORTANT: Visa application form should be duly completed and signed by the applicant in both places provided (fields 37 AND in the signature box at the bottom of the third page). Any technical or difficult questions should be left empty - we will complete minors (under 18) it is mandatory for both parents to sign the application form in both places provided (fields 37 AND in the signature box at the bottom of the second page)PASSPORT SIZE PHOTOS: The two photographs required for visa application must be on a white background format; 3.
5 cm taken from the front and should be taken at time of your application. 1) The photo must be a close-up of your head and the top of your shoulders so that your face takes up 70-80% of the photograph.
2) The photo must be clear and in sharp focus, with no ink or grease marks. 3) The photo must show you looking directly at the camera; with your natural skin tone 4) the photo should have appropriate brightness and contrast.
5) Photos taken with a digital camera must be high quality colour and printed on photo-quality paper. 6) The photo must show your eyes open and clearly visible, with no hair across your eyes or forehead.
7) The photo should show you facing the camera, not looking over one shoulder (portrait-style) or with your head tilted. 8) Both sides of your face should be clearly visible.
9) The photo must be taken with a clear white background. 10) The photo must be taken with uniform lighting and must not show red eye, shadows or flash reflections.
11) The photo must show you alone (no chair backs, toys or other people visible), looking at the camera with a neutral expression and your mouth closed. 12) If you wear glasses or coloured contact lenses, then these must be removed and your photo must show your eyes clearly with not flash reflection.
14) Your facial features from the bottom of your chin to the top of your forehead, and both sides of your face, must be clearly do not affix passport photos to the Schengen application form with staples or ER REF LETTER: Original and less than 1 month old from the date of s must be dated and should be submitted on the original letterhead of the company, stating your name, your position, the date of joining the company in UK (it should also mention the annual salary in GBP if the person has recently joined the company and is unable to submit the last 3 months UK payslips or allowance slips). If your company does not provide payslips or allowance slips than it has to be clarified in your employers reference letter.
(Please note contract letter, offer letter, terms and condition letter, appointment letter, Deputation letter, are not accepted by any consulate). SELF-EMPLOYED REF LETTER: A letter from your accountant confirming your self-employment status, the exact date of incorporation of the company, percentage of share holding and yearly / monthly income should be stated on your accountants original ate will also require the certificate of Incorporation, VAT certificate issued by HMRC, recent 3 months Business account bank statements and recent 3 months current account bank statement, maximum balance showing in your current account (Please check Schengen Visa Requirement table for the dependants travelling along with).
PAYSLIPS / ALLOWANCE SLIPS: Most recent 3 months payslips OR allowance slips which you receive in UK and must be in GBP only, internet print out is also valid in certain cases but please make sure that your net pay must appear on the print-out. 00 for any of the month which you submit you will need to clarify this on your employers reference letter and state the reason).
Please Note: any currency other than GBP will not be acceptable by the STATEMENT: Recent three months original and up to date online bank statements (should state account holders name, sort code, account number and UK address on any internet banking print-outs). Bank balance must be minimum of £400 per passenger or £60 per person, per day, if the tour is more than 3 you dont have bank statements then the consulate will require travellers cheques for minimum 300 Euros per person or 60 Euros per person, per day, if the tour is for more than 3 account bank statements are accepted, as authorised by TLS Contact outsource for French need UK bank statements in which your UK salary or UK allowance is the bank account has been opened less than three months than please provide us with a bank opening INSURANCE: The travel insurance must clearly state all of the travelling passengers names on the policy.
The area of validity must clearly cover the Europe or Worldwide, Coverage of at least EUR 30,000 for emergency medical and repatriation in order to face any expenses that may arise in connection with your repatriation for medical reasons, urgent medical attention or emergency hospital treatment, with these scenarios expressly stated on the policy note that insurance quotations are not acceptable as a proof of your travel insurance is held through your bank you must provide official proof in the form of a recent letter (no more than one month old). If your insurance is held through your company, you must provide a travel insurance certificate and a copy of the relevant pages from the policy document, but please make sure that it should not be business travel / UNIVERSITY LETTER: Letter from educational institution should be original & on the College / University / School be dated a maximum of four weeks prior to your departure, stating student name, course commencement date and the length of the course (e.
1 Year or start date andend date) It is also advisable to put your attendance percentage on that Note: If you are travelling during the term period then you will need to mention that your college are aware of your trip. (Any scanned / fax copy for these letters are not accepted by the consulate)MARRIAGE CERTIFICATE: For a Spouse visa application you must submit an Original Marriage Certificate issued in the English Language only (With Clear Marriage Registrar Stamp).
If your marriage certificate is translated in English then the translation must be certified by the Embassy/Consulate of the country where your marriage was celebrated or by the legalisation bureau of the Foreign Office in marriage certificate is not accepted by the Schengen you wish to apply for your schengen visa as an EU dependant please note that your marriage certificate should be stamped by a marriage any of the spouse's first name is changed then the consulate requires change of name affidavit stamped by notary public CERTIFICATE: If minor (under 18): Original Full Birth Certificate, stating both parents names and childs name is original birth certificate is not in English language then an official translation is official translation must be certified by your Embassy/ Consulate or by the legalisation bureau of the Foreign Office in GB. (If any birth certificate which does not have the name of the child mentioned in his / her birth certificate than they need to go to nearest relevant consulate to get it authenticated).
PENSION LETTER: If you are retired then provide a recent dated original pension letter confirming that you are in receipt of under the age of 18 and travelling to Schengen Countries without THE parents or with one parent: A parental authorisation to travel form must be completed and signed by each parent or legal guardian authorising a child to travel and appointing the person responsible for them. If the parents are separated/absent parent, court order (or official document to that effect) establishing sole under the age of 18 and fostered: An official up-to-date letter from the British social services authorising the trip to letter must indicate the full name of the child, full name of the carer and the address and length of stay in France and Carers valid Note: The above information is correct at time of print (January 2016), Star Tours Ltd is not held responsible for any legislation changes or amendments made by the Consulate or any of the above mentioned information is not clear or you have any doubts, please email us on email protected you can contact us on our 24 Hours helpline are shrunk to the height of a 2p coin and thrown into a mass is reduced so that your density is the same as do you do? Those who were paying attention in rocket-science class will recall the formula for the energy of a projectile: E = mgh.
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There's a latency problem in South se it "Latency problem in South Africa" is an inside joke at phrase is intentionally equivocal techspeak, like a line in science fiction. ("We're losing potency in our antimatter pods!") The candidate should be able to figure out what it might mean, though, and say something could apply to almost anything, from getting a marriage licence to using public 's a reasonable guess that a Google interviewer is thinking about the interviewer could mean either of the following: Advertisement • Google searches (only) are running ping operation measures latency on the Internet.
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• Make sure some of the buses and trains allow pets and reason people insist on staying behind is concern for their pets and valuables. • Designate all lanes of traffic arteries to order a custom aviation term paper for me single spaced academic premium writing from scratch This allows twice as much traffic and prevents the clueless from enter-ing the as contraflow, this idea will be familiar to Bay Area commuters.
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(You've "cloned" the three minutes that were in the small glass. The above is a good answer, just not the best defect is that it requires 4 minutes of preparation time (to get 3 minutes of sand in one bulb of the 7-minute glass).
The scheme therefore takes 13 minutes total, in order to measure 9 you buy an egg-timer that tool 4 minutes to warm up? There is a solution that allows the timing to begin with the safe assumption that we're going to start both hourglasses at 0 7-minute hourglass has just run 4-minute glass has already run out once and (presumably) has been flipped should have just 1 minute of sand remaining in its upper that's needed is to clone that 1 minute. At 7 minutes, flip over the 7-minute it run 1 minute, as measured by the remaining sand in the 4-minute brings us up to the time 8 7-minute glass will have 1 minute of sand in its lower the 7-minute glass over again and let the minute of sand run the last grain falls, that will be 9 e a country where all the parents want to have a family keeps having children until they have a boy; then they is the proportion of boys to girls in this country? Ignore multiple births, infertile couples, and couples who die before having a first thing to realize is that every family in the country has, or will have, exactly one boy when they're done ? Because every couple has children until they have a boy, and then they g multiple births, "a boy" means one boy are as many boys as completed families.
A good way to proceed is to take an imaginary census of girl every mother in the country to one big room and ask on the public-address system: "Will everyone whose first child was a girl please raise her hand?" Naturally, one-half of the women will raise a N mothers, N/2 would raise their hands, representing that many firstborn that on the imaginary tote board: N/2.
Then ask: "Will everyone whose second child was a girl please raise -- or keep raised -- her hand?" Half the hands will go down, and no new hands will go up. (The mothers whose hands were down for the first question, because their first child was a boy, would not have had a second child.
) This leaves N/4 hands in the air, meaning there are N/4 second-born girls. "Will everyone whose third child was a girl raise or keep raised her hand?" You get the this up until finally there are no hands still number of hands will halve with each produces the familiar series (1/2 + 1/4 + 1/8 + 1/16 + 1/32 + .
The number of girls equals the number of families (N) equals the number of boys (or very close to it).
The requested proportion of boys to girls is therefore 1 to 1. Use a programming language to describe a chicken In 1968, the French writer and prankster No l Arnaud published a slim volume of poems in the computer language ALGOL (now obsolete, it was a precursor of C).
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What is the most beautiful equation you have ever seen? Asked of Google engineers, this question prompts you to analyse how an equation can be "beautiful" and then to give a suitable one certain thing about beauty is that it's so, most conclude that a beautiful equation is concise and of universal , however, that you're not just trying to think of a beautiful equation; you're trying to impress the interviewer with your helps to give an equation that the interviewer doesn't hear every would agree this is a lame answer: E = MC2 You want Einstein? A better reply is: G = 8 T This packs the general theory of relativity into five characters. G is the Einstein tensor, representing the curvature of space-time.
T is the stress-energy tensor, measuring the density of mass and equation says that mass-energy curves space and time (which curvature we experience as gravity). Another five characters express much of quantum physics.
" The canonical Google answer is Euler's connects five numbers central to mathematics: e, pi, the imaginary number i -- and of course 1 and 0, which are pretty important in the information business. E i + 1 = 0 Euler's equation is regularly voted the "most beautiful equation" or something of the was tied for first (with all four Maxwell's equations!) in a 2004 Physics World poll for the "greatest equations ever.
" As one reader put it, "What could be more mystical than an imaginary number interacting with real numbers to produce nothing?" "Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence," the Stanford mathematician Keith Devlin best-known commentary of all is probably that of Carl Friedrich Gauss, who said that unless this formula was immediately obvious to a student, that student would never be a first-rate won't gain any points for originality by answering with Euler's equation, 's like saying your favorite film is Citizen Gaussian integral has some of the same mystic appeal, connecting e, pi, and point in its favor: Gauss didn't find it completely Gaussian integral also has something that Euler's equation lacks -- relevance to life as we live it. A chart of it is the familiar bell-shaped curve of a normal probability is the "curve" that teachers grade on -- the one that supposedly governs heights, IQ scores, and the random walk of stock prices (but doesn't quite).
In the equation, the integral computes the area under the bell-shaped curve and finds it equal to the square root of pi, or about 1. The equation can be viewed as a symbol of the role of chance in the of the things we value most -- beauty, talent, money -- are the result of scores of random factors, ranging from genes to simple the factors determining a quantity are truly random and additive, the quantity will follow a normal people will be in the middle of the curve.
A few outliers will have a lot more or a lot less than the 1886, Francis Galton said of this distribution: "I know of scarcely anything so apt to impress the imagination as the wonderful form of cosmic order expressed by the "law of error.
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" For the cult of the beautiful equation in all its delirious glory, look no further than the British physicist Paul A. "It is more important to have beauty in one's equations than to have them fit experiment," he once was notoriously eccentric and socially awkward, partly the result of a theoretical physicist, he saw the world as a puzzle to which beautiful equations were the a remarkable degree, contemporary science (and many job interviewers) accept Dirac's view of the world.
For an amusing rebuttal, see Richard Feynman in the second volume of The Feynman Lectures on Physics, in which he makes the amazing claim that all of physics can be reduced to a single equation is: U = 0 That's it! That's everything about the universe! Feynman was so-called beauty rests with the fact that it explains so much with just a few marks on paper, a few black pixels on perception of simplicity rests on hard-won and messy concepts, Feynman is energy? What is mass? What is the speed of light? None of these concepts existed for al-Khwarizmi or Leonardo da and mass had only started to gel by Newton's time. "The speed of light" was hardly a scientific matter until the nineteenth n's point is that E = MC2 is an it, just don't get wrapped up in how "simple" it that you can transform Einstein's equation into: E - MC2 = 0 All I've done is to subtract MC2 from both sides.
Faqs camp america They were equal before, and they must be equal gives: (E - MC2) 2 = 0 The point of this will become clear in a 's part of Feynman's recipe for the ultimate beautiful equation How to get a college writing assistance aviation term paper at an affordable price US Letter Size Platinum University Writing from 's part of Feynman's recipe for the ultimate beautiful Euler's as is and tweak Schr dinger's: e i + 1 = 0 H - E = 0 Then square both sides of each and add to Einstein's rejiggered equation (E - MC2)2 + (H - E )2 + (e i + 1)2 = 0 All three terms on the left have to be 0 (say Einstein, Schr dinger, and Euler). The equation must be correct, assuming its three components rmore, the only way the equation can be correct is if all the terms are 0 should i order anthropology report Editing 33 pages / 9075 words one rmore, the only way the equation can be correct is if all the terms are 0.
It guarantees that no term could be negative should i order anthropology report Editing 33 pages / 9075 words one guarantees that no term could be only way for three nonnegative terms to add up to 0 is for all to be 0. Throw in the kitchen sink, said equations, great and trivial, can be put in this form and appended to the left side of this master n called the quantities on the left UN, where N ranges from 1 to as far as you care to them up and you have simply U, standing for is a measure of anything and everything that doesn't fit into the scheme of physics.
U = 0 is simpler (more "beautiful") than any other says everything the other equations do, and it's as simple as an equation can possibly equation means you've got an equals sign, with one thing on the left of it, and one thing on the characters is the bare minimum, and U E 0 delivers that beautiful (anorexic?) n's real point was that "U = 0" is a silly kludge serving no purpose except to say everything about the universe as concisely as possible! Feynman was asking, are you sure that's what you mean by beautiful? It's worth thinking about.
A good answer to this interview question might start with Feynman's U = 0. Then, if you think you've got a better notion of what "beauty" is, describe it and tell what equation best fits want to make sure that Bob has your phone d you have to write a message to him on a card and hand it to Eve, who will act as a will give the card to Bob and he will hand his message to Eve, who will hand it to don't want Eve to learn your phone do you ask Bob? Even if you give the short, simple answer you may be asked to supply the RSA answer, 's not that complicated as long as Bob has a computer and can follow might ask the interviewer about Bob's maths and computer RSA, each person generates two keys, a public one and a private one.
A private key is like your e-mail need it to get your e-mail messages, and you must keep it secret -- otherwise, anyone could read your won't be able to send Bob a secret message because he hasn't set up his may not know what RSA is until you tell him! But you don't need to send Bob a secret want Bob to send you a secret message, namely your phone means that you need keys for yourself, not for outline of the solution is this: Hey, Bob! We're going to use RSA may not know what that is, but I'll explain exactly what you have to this and my phone number and produce an encrypted number by following these that encrypted number back to me, via trick is to word the instructions so that almost anyone can do cryptography was first described, it now appears, in original inventor was the British mathematician Clifford Cocks, who worked for Her Majesty's secret scheme was considered impractical: it required a computer, of all was not easy to come by when spies generally had to make do with cameras hidden in cuff ile, in 1978 three MIT computer scientists independently came up with the same idea. The last initials of the MIT group -- Ronald Rivest, Adi Shamir, and Leonard Adelman -- supplied the the RSA system, a person who wants to receive messages must pick two random prime numbers, p and q.
The numbers must be large and at least as big (in digits) as the numbers or messages being a phone number of ten decimal digits, p and q each should be at least ten way to choose p and q is to Google a website that lists large prime Primes Pages, run by Chris Caldwell of the University of Tennessee at Martin, works are two: 1,500,450,271 and 3,367,900,313 Call these p and q. You have to multiply them and get the exact can't use Excel or Google calculator or most other consumer software because they show a limited number of significant easier one is to use Wolfram Alpha ( ): Just type in: 5053366937341834823 Call this product N.
The other component is a number called e, an arbitrarily chosen number, ideally of length equal to N, that does not divide evenly by (p - 1)(q - 1). I may have lost you with that last part, but don't many applications, coders simply pick 3 for e.
This is good enough for most purposes, and it permits fast chosen N and e, you're good to just need to send those two numbers to Bob, along with the Complete Idiot's Guide to RSA has to compute: xe mod N Where x is the phone we've chosen 3 for e, the part on the left is x "mod" indicates modulo division, meaning that you divide x3 by N and take only the remainder must be in the range of 0 to N 1. Get custom writing services homework aviation 100% plagiarism free american single spaced custom writing academicThus it's probably going to be a twenty-digit twenty-digit number is the encrypted message that Bob sends back to therefore needs to be able to cube a number and do long crucial part of the instructions could say Bob, I need you to follow these instructions carefully with-out questioning d my phone number is a regular ten-digit number.
First, I need you to cube the number (multiply it by itself and then multiply the product by the original number again). The answer, which will be a thirty-digit number, has to be it by hand if you have to, and double-check I need you to do the longest long division you've ever the result by this number: 5,053,366,937,341,834,823 Need to order an homework aviation professional one day Platinum Chicago answer, which will be a thirty-digit number, has to be it by hand if you have to, and double-check I need you to do the longest long division you've ever the result by this number: 5,053,366,937,341,834,823.
Send me the remainder of the division 's important that you don't send the whole part of the quotient -- just the ng Bob has Internet access (a pretty safe assumption, right?), the message could say: Bob, go to this website: . You'll see a long, rectangular box outlined in my ten-digit phone number into the box, without using dashes, dots, or parentheses -- just the ten ately after the phone number, type this: 3 mod 5053366937341834823 Then click the little equals sign in the right of the answer, probably a twenty-digit number, will appear in a box labeled "Result 6 days ago - Energy conversion technology · Visual arts · Best websites to get a custom pedagogy essay british double spaced business · Best website to buy a natural disasters paper business phd cbe · HOMEWORK · WWI; SHOULD I PURCHASE A WWI HOMEWORK BUSINESS REWRITING SINGLE SPACED .
Type my ten-digit phone number into the box, without using dashes, dots, or parentheses -- just the ten ately after the phone number, type this: 3 mod 5053366937341834823 Then click the little equals sign in the right of the answer, probably a twenty-digit number, will appear in a box labeled "Result. " Send that answer, and only that answer, to lly, Eve reads these instructions, and she also reads Bob's 's got a twenty-digit number that she knows is the remainder when the cube of the phone number is divided by 5,053,366,937,341,834, has yet figured out an efficient way to recover the phone are you any better off? You are because you have the secret decoder , d, is the inverse of e mod (p - 1)(q - 1).
There is an efficient algorithm for calculating that -- provided, of course, that you know the two primes, p and q, that were used to generate N. (You know them because you picked them, remember?) Call Y the encoded number/message Bob sends original message is: Yd mod N To figure this, you just type it into Wolfram Alpha (replacing Y, d, and N with the actual numbers).
Eve knows N, since it was on the card you asked her to give to knows y, since it was Bob's reply to you. But she doesn't know d, and she has no way of learning is easy to multiply two numbers -- heck, they teach that to schoolkids.
A man pushed his car to a hotel and lost his you had a stack of pennies as tall as the Empire State Building, could you fit them all in one room? This may sucker you into thinking that it is one of those interview questions where you're intended to estimate an absurd on -- the question doesn't ask how many asks, will the stack fit in a room? The interviewer wants a yes-or-no answer (with explanation, of course). That should be a clue, as should the fact that the question doesn't say how big the room ion might suggest that the stack wouldn't fit in a phone booth but would fit easily in the Hall of Mirrors at answer is roughly this: "The Empire State Building is about a hundred stories tall it's 102 exactly .
That's at least a hundred times taller than an ordinary room, measured from the inside. I'd have to break the skyscraper-high column of pennies into about a hundred floor-to- ceiling-high question then becomes, can I fit about a hundred floor-to-ceiling penny columns in a room? Easily! That's only a ten-by-ten array of penny long as there's space to set a hundred pennies flat on the floor, there's tiniest New York apartment, an old-style phone booth, has goal is not just to get the right answer but to make it look , job seekers are expected to do the much would you charge to wash all the windows in Seattle? The first step here is to estimate the population of recently put it at 594,000 (city limits) or 3.
In a job interview, no one would fault you for saying Seattle has about a million many windows are there per Seattle resident? In Manhattan, young people count themselves lucky to have one e is different; apartments are larger, and more people live in houses with panoramic windows overlooking evergreen to purchase a custom term paper aviation premium 5 days custom writing harvard Many houses and townhouses are two story. A decent guess, favoring the convenient round number, is ten residential windows per are also windows at places of work, Starbucks, department stores, airports, concert halls, and so forth 21 Sep 2011 - 'You have to remember the U.
was born out of a revolutionary struggle against Britain in 1776,' says available blueprints for this war, modern-day military and naval experts now believe the most likely outcome of such a conflict would have been a. There are also windows at places of work, Starbucks, department stores, airports, concert halls, and so forth.
This probably doesn't add all that much to the per capita total.
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A big-box store has little surface area (and few windows) relative to its windows in public spaces like restaurants and airports are shared among the huge mass of people using them Best website to get writing assistance aviation term paper US Letter Size Editing British 6 windows in public spaces like restaurants and airports are shared among the huge mass of people using them.
(You might ask the interviewer whether to count them m\'* \“s '4;,. ments can enhance your business aviation experience and contribute to getting the most out of your operation. ~ Confirm the style or level of operation and If you intend to buy a new aircraft, do your homework and use the information sources that are available. There are often dramatic price incentives .
) A car is going to have four windows at bare minimum, often twice that need to purchase a biotechnology lab report Platinum 90 pages / 24750 words Academic. ) A car is going to have four windows at bare minimum, often twice big 4x4s are driven by big families and don't add many windows per capita.
A reasonable guess is that windows outside the home account for another ten per comes to twenty windows per Seattle ng a population of a million, there are about twenty million windows to be much should you charge to wash a window? With the windows in your home, it takes a few spritzes of Windex, a few paper towels, and a few of the windows in Seattle are huge, like those in the restaurant atop the Space Needle, and they're high up, requiring special crews, special equipment, high workers' comp rates, and considerable e knowing what he's doing could probably clean one side of a typical window a minute, given that most are means cleaning "a window" (both sides) in two the average window washer makes $10 an in another $5 an hour for supplies and 's $15 for an hour's work, which cleans thirty windows. Twenty million windows times 50 cents is $10 question is used at Amazon and so you don't miss the joke, such as it is, Windows is another company's registered much toilet paper would it take to cover the entire state? A square of toilet paper is about 4 X 4 squares, in a 3 X 3 grid, would then make a square 's call that "about 10" squares to a square foot.
A square mile is therefore 5,000 X 5,000 or 25 million square number of rolls of toilet paper needed to cover a square mile would be 25 million divided by Fermi question purposes, 25 is practically the same as it a million rolls of toilet paper to the square r London is more or less the area contained by the M25 motorway, which is almost takes about two hours to go round it at a circle's diameter is its circumference divided by pi (roughly 3), the M25's diameter is 100 ÷ 3, which is about 30 miles.
A circle's area is given by r2, which means the area contained is approximately 3 X 15 = 675 square cover it, you'd need 675 X 1 million do you find the closest pair of stars in the sky? This is the "closest pair" problem, well known to computer human eye can often spot the closest pair of stars (or points in a plane) at a glance, just as the eye can tell whether a face is male or female or solve a rocessors can't readily do any of these thms for solving the closest-pair problem were intensively studied in the 1970s and are now a building block of the digital your smartphone has apps that use them, for purposes ranging from mapping to games to 's part of how our clever devices are starting to "see. " This means that the interviewer is really asking a technically trained candidate, "Were you paying attention in algorithm class?" More specifically: given the co-ordinates of a large number of random points in a plane, how can a computer, with no visual cortex, tell which pair is closest by pure computation? One inefficient approach is to compute the distance between every pair of 's a lot of calculations when N is a large it's not actually necessary to check the distance between every pair of stars, only those that are "reasonably can't tell which pairs are "reasonably close" unless they do the optimal closest-pair algorithm goes like 's a right half and a left half, each with N/2 partitioning the sky into quarters, eighths, sixteenths, thirty-seconds, and so cuts are all to be made vertically (or from celestial north to south).
A suburbanite will see maybe a thousand stars in his hazy, light-polluted therefore takes about ten halvings to end up with strips of sky so thin that they contain about two naked-eye stars each (210 is 1,024). The diagram on page 250 gives you the basic e the distance between each strip's star 's vastly less work than computing distances between all the stars.
A complete doofus might think that you're almost the strip with the closest pair of all, and that's it! Hardly -- look at the e the strips are so long and narrow, the closest pair within a strip may not be so close at closest pair in the whole sky is likely to be two stars straddling two you look below, I've circled a straddling pair in the 's necessary to have an algorithm for knitting together two adjacent give the algorithm the closest pair in the left slice and the closest pair in the right slice, and then it deduces the closest pair in the combined left- plus-right algorithm would then be applied, over and over, to create slices twice as wide, four times as wide, eight times, and so ten stages of knitting together, we'd be back to a "slice" consisting of the whole 'd also know the closest pair in the whole knitting-together algorithm works like two adjacent slices, inspect a zone centered on the dividing line to see whether it's got a pair closer than any in either it does, then that will be the closest pair in the combined the closest pair wholly within the right or left slice and call the distance between its stars d. We need to search within distance d of the dividing line for possible straddling pairs.
" Computer scientists have a way of worrying about worst-case scenarios (which the user experiences as bugs). The stars in the zone can be readily sorted by their vertical each such star, it's necessary to check distances to stars within d of it, up or down.
A simple diagram (facing page) proves that there can be only six stars to check at we want to make sure that Betelgeuse, just to the left of the dividing line, doesn't form a close line-straddling pair with a star on the right. Since we already know that no two stars on the right are within d of each other, there can be only six stars, at the very most, that fit within the you haven't studied computer science, your head is probably coders, this question should be easier than the brainteasers -- it simply asks them to recite what they learned at is an offbeat answer that rates omy buffs may correctly point out that there are two kinds of close star are binary stars (two stars orbiting around each other, the way the earth orbits the sun) and optical doubles (unrelated stars that just happen to look close in the sky, as seen from the earth).
Given the profound emptiness of space, it's all but a certainty that the closest pair of stars in the earth's sky will be a only that, but there are eclipsing binaries, where the orbital plane is so close to our line of sight that the two stars actually pass behind and in front of each most famous example is Algol, a visible star in the constellation looks like a single star to the eye and to the most powerful three days, its brightness omers have determined that Algol is really two stars whose orbits look like this, to scale: When one star partly blocks the other, Algol looks dimmer, even to the unaided an eclipse, there is no distance between the two stars' disks. They actually touch and overlap in the 's as close as a pair of stars can do you find the closest pair? The astronomer's answer is that eclipsing binaries are identified by their regularly varying brightness and spectroscopic you swim faster through water or syrup? Isaac Newton and Christiaan Huygens debated this question in the 1600s, without resolving it.
Three centuries later, two University of Minnesota chemists, Brian Gettelfinger and Edward Cussler, did a syrup-versus-water it's not so surprising that it took so r said he had to obtain twenty-two approvals, including permission to pour massive quantities of syrup down a had to say no thanks to enough free corn-syrup to fill twenty lorries because it was judged hazardous to the Minneapolis sewer d he used guar gum, an edible thickener used in ice cream, shampoo, and salad six hundred pounds of the stuff transformed a swimming pool into something that "looked like snot. " Gettelfinger, an Olympic- hopeful swimmer, had the unique experience of diving to the outcome, I will leave you in suspense for a bit findings were published in a 2004 article in the American Institute of Chemical Engineers next year, Gettelfinger and Cussler won the 2005 Ig Nobel Prize in Ig Nobels are the silly counterpart to the better-known prizes awarded in Stockholm, and they automatically get news-of- the- weird media attention was apparently responsible for the syrup riddle's revival as a uniquely sadistic interview the great syrup swim-off, the guargum glop's viscosity was about twice that of density was virtually the same as that of plain was important because, as swimmers have long known, people swim faster in denser a ship, a swimmer's body rides higher in saltwater, encountering less finger and other Minnesota students did laps through both water and "syrup.
" They tried the standard strokes: backstroke, breaststroke, butterfly, and no case did the speeds vary between fluids by more than a few percentage was no overall pattern favoring the glop or the meant that Newton was wrong: he thought syrup's viscosity would slow s correctly predicted there would be no difference in finger and Cussler's paper supplies the of the way smoke rises from a my term paper aviation british single spaced senior 65 pages / 17875 words For a few inches, the smoke rises in a sleek vertical that, it breaks up into complicated swirls and ence is bad for jet planes, speedboats, and anything that wants to cut quickly through a fluid 8 Apr 2015 - Process Time 15 Days Flight from Mumbai? Service Charges 1. CanadaTourist Visa for FamilyEligibility :-Age 22-45Qualification AnyService charges for work visa: - 19/22.
Where to get a homework aviation high quality 101 pages / 27775 words british writing businessThis visa is for short term course or for any English Training ence is bad for jet planes, speedboats, and anything that wants to cut quickly through a fluid. Because the human body is not optimized for swimming, we create a ridiculous amount of turbulence, which we then fight in our struggle to pull ourselves through the turbulence produces much more drag than the viscosity does Who can help me with my homework aviation US Letter Size Business Writing from scratch e the human body is not optimized for swimming, we create a ridiculous amount of turbulence, which we then fight in our struggle to pull ourselves through the turbulence produces much more drag than the viscosity does.
Relatively speaking, the viscosity hardly the turbulence is similar in water and syrup, the swimming speed is about the same, flow of water is much less turbulent for a fish, and even less so for a bacterium -- which would swim slower in this a fair interview question? Cussler told me that a background in computer science "is probably of no use" in answering the syrup he added, "Anyone with sophomore physics should be able to answer it. " As a physics graduate, I'm willing to bet that's any rate, most of those confronting this question on a job interview won't know much about the responses invoke simple, intuitive analogies to explain why the answer needs to be determined by e trying to swim in liquid cement or y, swimming is slower in very thick fluids than in though there's more to push against, you swim slower, or not at question doesn't ask about pitch or quicksand but rather "syrup.
" There is maple syrup, cough syrup, chocolate syrup, high-fructose corn syrup, and the kind they sip in nightclubs, with consistencies ranging from watery thin to the crud left in the bottom of an old tin of golden question is unanswerable unless you know the exact type of syrup -- or can prove that swimming is slower in every thicker-than-water fluid. Suppose there's an optimum level of viscosity in which swimming speed is at a there any reason to believe that H20 just happens to be at that optimum level for swimming? You might say yes, were you an insightful ion has streamlined fish to "fit" the way water flows over their sleek bodies should i order an library science paper Platinum American e there's an optimum level of viscosity in which swimming speed is at a there any reason to believe that H20 just happens to be at that optimum level for swimming? You might say yes, were you an insightful ion has streamlined fish to "fit" the way water flows over their sleek are not very fishlike, and the way we swim is not much like the way a fish r people nor our immediate ancestors have spent much gene-pool quality time in the pool -- or in rivers, lakes, and ng is something we do, like hang gliding, but we're not built for it.
A creature built for doing the Australian crawl would look very different from a Cussler noted, "The best swimmer should have the body of a snake and the arms of a gorilla. " It might not be surprising to find that people could swim faster in something with a different viscosity than would it be surprising to find that the speed was the same over a wide range of dynamics of liquids and gases is a textbook example of is so dependent on the granular details as to defy 's why aircraft designers need wind tunnels to test their unstreamlined human body, with its relatively awkward movements in water, only complicates things is a question that needs to be tested with an experiment, using the exact type of "syrup" in r's Ig Nobel Prize acceptance speech boiled all this down to six words: "The reasons for this are complicated.
It is difficult to remember what you read, especially after many would you address this? In a few years, practically all reading will be on digital screens of some 's possible to envision a personal reading agent keeping track of everything you've read, on any device -- from e-mails and tweets to electronic books and agent or its data would migrate from hardware device to device and follow you throughout life. • The agent would index all that text so that you'd be able to do a keyword search.
• The agent would let you annotate things you read anywhere (as you can with e-book readers). The simplest annotation would be a highlight, essentially meaning "I may want to remember this later!" The highlighted passages should get extra weight in should be able to search the text of annotations, Google "remembers" that newspaper article you read last October, and (via Google Books) everything in many books, the profusion of hits in a given search can be Google (via this agent) kept track of what you read, on any and all devices, you could filter searches by "stuff I've read.
" • You can search for something you remember you've forgotten, but not for something you've completely forgotten or aren't thinking you read the complete short stories of Nikolay Gogol at school and loved them but hardly remember a character, plot, or phrase agent might address that by periodically reminding you of highlighted passages, those you've identified as worth the attention of your future s the agent would have a Twitter account and tweet random snippets of material you want to remember but don't otherwise have time to go back to. • The agent would also "remember" podcasts, movies, and TV shows -- provided transcripts or subtitles exist or could be 're in a car with a helium balloon tied to the you step on the gas pedal, what happens to the balloon? Does it move forward, backwards, or stay put? (generic the company question, including Google) The near-universal intuition is that the balloon leans backward as you job is to deduce how the balloon does move and to explain it to the good response is to draw an analogy to a spirit the not so handy, a spirit level is the little gizmo carpenters use to make sure a surface is contains a narrow glass tube of colored liquid with a bubble in er the spirit level rests on a perfectly horizontal surface, the bubble hovers in the middle of the the surface isn't so level, the bubble migrates to the higher end of the takeaway here is that the bubble is simply a "hole" in the the surface isn't level, gravity pulls the liquid toward the lower pushes the bubble wherever the liquid isn't -- toward the opposite the helium balloon and let it hit the balloon is a "bubble" of lower-density helium in higher-density air, all sealed in a container (the car).
Gravity pulls the heavy air downward, forcing the light balloon against the the car accelerates, the air is pushed backward, just as your body sends a lighter-than-air balloon the car brakes suddenly, the air piles up in front of the fugal force pushes the air away from the turn and sends the balloon toward the center of the course, the same applies when the balloon is tied to something; it's just less free to short answer to this question is that the balloon nods in the direction of any 't believe it? Put the book down right to the supermarket, buy a helium balloon, and tie the string to the gear stick or hand back home (no lead-footing necessary) It can be hard to find all of the answers you need to your aviation homework but this guide can help you know where to go to find the answers. This list will help you find all of the places you can This will help you get the exact answer or at least give you the right links to find the answer. Have you ever talked to your local or .
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Air is invisible, and we ignore it 99+ per cent of the balloon, on the other hand, is dressed up in pretty colors or Mylar and screams, "Look at me!" We forget that, masswise, it's a partial vacuum within the surrounding air. A helium balloon does the opposite of what a mass does because it's a deficit of real mass -- the air -- is iewers who ask this question don't expect you to know much there is an alternate response that makes use of the theory of relates to Albert Einstein's famous thought experiment about the e you're in a lift going to your tax accountant's office, and a mischievous extraterrestrial decides it would be fun to teleport you and the lift into intergalactic lift is sealed, so there's enough air inside to keep you alive long enough to amuse the alien for a few are no windows, so you can't look out and see where you alien puts the lift in a tractor beam and tows it at a constant acceleration exactly matching that of Earth's there anything you could do in the sealed lift to determine whether you're experiencing real Earth gravity or "fake" gravity, mimicked by acceleration? Einstein said you take your keys out of your pocket and drop them, they would accelerate toward the lift floor exactly as they would on go of a helium balloon's string, and it would float upward, just as on Einstein equivalence principle says that there is no (simple) physics experiment that can distinguish between gravity and assumption is the foundation of Einstein's theory of gravity, known as general ists have been trying to punch holes in the equivalence principle for nearly a century 's safe to assume that Einstein's premise is right, at least for any experiments you can do in a car with a fifty-pee balloon.
Tie the string of a plumb bob (carpenter's weight) to your right index a helium balloon to the same a lift, a parked car, or a cruising jetliner, the outcome will be the two strings, joined at your finger, form a straight is the outcome whenever you are subjected to picture what happens when you start you accelerate, your body sinks back in the le intuition may tell you that the plumb bob and the balloon will each lean backward a bit from your acceleration, there will be an angle between the two strings (if this intuition is right). This would provide a way of distinguishing between gravity and the car is subject to gravity alone, the two strings form a straight line.
But when it's subject to centrifugal force or other forms of acceleration, the strings form an angle with your finger as the 's all you need to prove that general relativity is about getting a job at Google -- this would be worthy of a Nobel since the equivalence principle has been rigorously tested and shown to be true, this doesn't happen, and you can use it to answer this s must be the same in an accelerating car as in a car subject to gravity alone. In both cases, the balloon, your finger, and the plumb bob form a straight and aircraft questions like speed limits in the sky answered nbsp In answer to the question, then, the helium balloon does the exact opposite of what you'd expect of an object with have a choice of two wagers: One, you're given a basketball and have one chance to sink it for £1, , you have to make two out of three shots, for the same £1,000 Want to work at Google Answer these questions WIRED , you have to make two out of three shots, for the same £1, do you prefer? Call the probability of making a basket p.
With the first bet, you have a p chance of winning £1, the average, you can expect to win £1,000 X p. With the second wager, you shoot three times and have to make the basket twice to be in the chance of making the basket on any given attempt is still p.
There are 23, or 8, scenarios for the second wager.
A check mark means you make the shot; a blank means you first scenario is the one where you're really off your game. The chance of that is 1 - p, multiplied by itself three four of the eight scenarios, you win the scenarios have the probability of p2(1 - p).
In the case where you make all three shots, the probability is times p2(1 - p) comes to 3p2 - wager's expectation: £1,000 × p Second wager's expectation: £1,000x (3p2 - 2p3) You may be a complete klutz (p is roughly 0) or an NBA baller (p approaches 1). For reference, I've done what you can't do in the interview: plugged the formulas into a worksheet and made a chart shows how expected winnings vary with p.
The straight diagonal line represents the first bet, and the more S-shaped curve is the first bet is better if your chance of making the shot is less than 50 ise, you're better off picking the second wager. He must pin his hopes on a freak lucky shot, which is obviously more likely to happen once than twice ("lightning never strikes twice"). The very good player ought to win either wager, though there is a small chance he'll miss the money out of three is a better gauge of his talents, and that's what he 's like the legal maxim: if you're guilty, you want a jury trial (because anything can happen); if you're innocent, you want a ng you get this far, the interviewer's follow-up question is, "What value of p makes you switch bets?" To answer that, set the probability of winning the two bets represents the skill level where it's a toss-up which you pick. p = 3p2 - 2p3 2p2 - 3p + 1 = 0 From there you can use the quadratic formula, warming the heart of your old algebra interviewer will be looking for brio as much as book know p, a probability, has to be between 0 and 1.
It's better style to experimentally try a rea-sonable have N companies and want to merge them into one big many different ways are there to do it? In the proper sense of "merger," two companies surrender their identities and fuse into a brand-new pharmaceutical giants Glaxo Wellcome and SmithKline Beecham merged in 2000 to form the pharma colossus GlaxoSmithKline. (You guessed it -- both parent companies were themselves merger spawn.
) CEO egos being what they are, true mergers are fairly s require a near-exact match of bargaining typically, one company's management has the stronger hand, and it's not about to let the weaker company's leaders forget deal is likely to be an acquisition, in which company A gulps up company B, and B ceases to exist as a separate entity (though it often survives as a brand). An example is Google's 2006 acquisition of is only one way for two companies to merge as are two ways for two companies to acquire or be acquired -- Google buying YouTube is not the same as YouTube buying people outside investment banking gloss over the distinction between mergers and acquisitions.
Any melding of corporations is loosely called a "merger. " The point is, you need to ask the interviewer what is meant by "merge.
" Fortunately, most of the reasoning applies whatever the interviewer's with acquisitions because they're more common (and a little easier to work with). You can visualize the companies as draughts, and the acquisitions as the moves in the game.
A move consists of putting one piece on top of another to signify that the top piece is "acquiring" the bottom an acquisition, you manipulate the pieces involved as if they were glued together (like a "kinged" piece in the regular game). Every move diminishes the number of pieces (or stacks) by ally, you will be placing stacks of pieces on top of other stacks to create yet- taller will take exactly N - 1 moves to achieve the game's goal, a single tall stack consisting of all N pieces combined into many different scenarios can lead to that outcome? The simplest case involves two y A can gulp up B, or B can gulp up A.
With three companies, you have to decide which company first acquires what other are six possibilities for that first acquisition, corresponding to the six possible ordered pairs of three items (AB, AC, BA, BC, CA, and CB). How to get an alternative fuels essay 6 hours us letter size graduate nbspAfter the initial acquisition, you're left with two situation is then exactly as in the paragraph number of possible acquisition histories for three companies is therefore 6 x 2 = four companies, there are twelve possibilities for the first acquisition: AB, AC, AD, BA, BC, BD, CA, CB, CD, DA, DB, and DC.
That decided, you have three companies and, as we already know, twelve must be 12 x 6 x 2, or 144, acquisition histories for four N companies, the number of possible initial acquisitions is N(N - 1) This just means that any of the N companies can be the first acquirer, and any of the remaining N - 1 companies can be the first the first acquisition, there will remain N - 1 distinct companies, and there will be (N - 1)(N - 2) possibilities for the second there will be (N - 2) companies and (N - 2)(N - 3) possible 're going to be multiplying the ever- decreasing numbers of possible acquisitions until we're left with 2 x 1 possibilities for the final 's easy to see that, using factorial notation, the product will come to N! x (N - 1)! acquisition if you want true mergers instead of acquisitions? The above analysis overcounts the possibilities by a factor of two -- for each of the N - 1 means the number of proper merger histories is N! x (N - 1)! divided by 2N - 1 Need to get college aviation term paper us letter size 9 days british there will be (N - 2) companies and (N - 2)(N - 3) possible 're going to be multiplying the ever- decreasing numbers of possible acquisitions until we're left with 2 x 1 possibilities for the final 's easy to see that, using factorial notation, the product will come to N! x (N - 1)! acquisition if you want true mergers instead of acquisitions? The above analysis overcounts the possibilities by a factor of two -- for each of the N - 1 means the number of proper merger histories is N! x (N - 1)! divided by 2N - 1. Finally, if "merger" can mean merger or acquisition, you simply add the two 've got an analogue watch with a second many times a day do all three of the watch's hands overlap? This is an update to a classic Microsoft interview question that asks how many times a day a clock's hour and minute hands e that one's become pretty well known, interviewers have started using this Microsoft answer: First, figure when the hour and minute hands ne knows the minute and hour hands overlap at 12:00 midnight and at approximately 1:05, 2:10, 3:15, and so 's an overlap in every hour except 11:00 to 12: 11:00, the faster minute hand is at 12 and the slower hour hand is on won't meet until 12:00 noon -- ergo, there is no overlap in the 11:00 hour 13 Dec 2017 - Where to order college ecommerce term paper american proofreading nbsp; Get a college writing services social sciences coursework without plagiarism asa us letter size double spaced american; How to get college writing help social sciences coursework online business standard single spaced .
They won't meet until 12:00 noon -- ergo, there is no overlap in the 11:00 hour. There are thus eleven overlaps in each 12-hour are evenly spaced in time (since both hands travel at constant speeds) need to order a custom discrimination presentation 3 hours Chicago 34 pages / 9350 are thus eleven overlaps in each 12-hour are evenly spaced in time (since both hands travel at constant speeds).
That means that the interval between overlaps of hour and minute hands is 12/11 of an comes to 1 hour, 5 minutes, and 27 3/11 eleven alignments of minute and hour hands in each 12-hour cycle take place at: 12:00:00 2:10:54 6/11 3 :16:21 9/11 4:21:49 1/11 5:27:14 4/11 6:32:43 7/11 7: 38:10 10/11 8:43:38 2/11 9:49:05 5/11 10:54:32 8/11 How can we determine if any of these times is a three-way overlap? Though the question is about an analog clock, think of a digital clock that gives time in hours, minutes, and seconds: 12:00:00 There is an overlap between minute and second hands only when the minutes figure (00 here) equals the seconds figure (00). There is a precise three-way overlap at 12:00: general, the minute- and second-hand overlap will occur at a fractional example, here, 12:37:37 the second hand would be at 37 past the minute, while the minute hand would be between 37 and 38 past the instant of overlap would come a split- second the hour hand wouldn't be near the others, so this isn't a three-way of the hour- and minute-hand overlaps in the list above passes this test except for 12:00: means all three hands align just twice every day, at midnight and Google answer: The second hand is intended for timing short intervals, not for telling time with split-second 's normally not in sync with the other two hands.
"In sync" would mean that all three hands point to 12 at the stroke of midnight and noon.
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) A workaround would be to take the battery out (or let a windup watch run down), set the minute and hour hands in sync with where the second hand stopped, and wait until it becomes the time shown to replace the battery or wind up the would take a maniacal analogue watch fetishist to do unless you do this, the second hand will not show the "real" will be offset from the accurate seconds by a random interval of up to 60 a random offset, the odds are overwhelming that the three hands would never align work in a 100-storey building and are given two identical have to determine the highest floor from which an egg can be dropped without are allowed to break both eggs in the many drops would it take you to do it? Lest there be any confusion, the building and eggs are strictly 's a test of your ability to craft a smart, practical way of doing 's important in engineering, in management, and in everything else.
Every cook knows that a raw egg dropped from counter height onto tile is if Google's 100-story building is surrounded with something softer than concrete and harder than grass, the answer is not answer in the spirit intended, you have to assume that it is possible that the maximum egg-safe floor could be any floor at all, from 1 to fact, you should allow for the possibility that no floor is egg-safe (seconding the wisdom of cooks) If you feel that the period within which the homework was given is quite limited, you should not wait until you have exhausted yourself to start looking for help since there are various places from which you can obtain quality aviation homework assistance. You will never have to go from one firm to the other looking for custom .
That time i lost my passport nomadic matt You are permitted to ignore the strong element of chance in egg defenestration (demonstrated in the 1970 experiments). Pretend that the outcome of dropping an egg from a given floor will always be the interviewer is not expecting you to name the egg-safe floor This information explains what you need to do to get immigration permission in order to come to study in the UK as a 'short-term student'.
and; you present an unconditional offer letter for each of the courses (from the institutions where you will be studying) with the dates of each course specified when you request interviewer is not expecting you to name the egg-safe are no eggs and there is no 100-story building: it's all a fictional situation, okay? You are asked only to devise an efficient method for determining the floor, while explaining your thought one question you are expected to answer with an actual number is, how many drops would you need? Scoring is like golf: the fewer, the better Therefore anyone in the UK on business or visitor visa will need to travel back to their country of residence in order to apply. PASSPORT: Passport should be valid for at least more than 3 months beyond the validity of the requested sure your passport has two or more completely blank and unmarked visa one question you are expected to answer with an actual number is, how many drops would you need? Scoring is like golf: the fewer, the and Eggs Dropping an egg is a simple experiment that yields one bit of get the most bang for the bit, you'd start in the middle of the building /coursework/ get the most bang for the bit, you'd start in the middle of the would be floor 50 or 51, as there's no "middle" floor in a building with an even number of dropping an egg from the 50th would mean that the desired egg-safe floor must be below the 50th the difference again by dropping the next egg from the 25th can now conclude that the highest egg-safe floor is below the don't know which floor, and that means that the method has 's possible to keep reusing an egg so long as it doesn't on the bottom floor and drop the first it survives, go to the 2nd floor and try the 3rd, the 4th, the 5th, and so on until the egg breaks.
That will tell the highest floor the egg can be dropped from without will have determined it with just one egg. " It's a miser of eggs and a spendthrift of egg single floor might have to be tested, but it gets the job challenge is to create a solution that makes good use of both e that Google's optimal algorithm for the egg-drop experiment was written in a book don't even have to suppose -- it is written in a book, namely this algorithm reads something like this: 1.
How do I know the algorithm begins this way? Well, I'm not going out on much of a algorithm is a list of idiotproof instructions, starting with instruction 1. It tells you to drop an egg, naturally, because that's the modus operandi 's nothing else to do but drop only interesting part (floor N) is currently concealed under an algebraic veil.
The real algorithm gives a specific floor, like 43, in place of the N. Further deduction: because the experiment in instruction 1 has two outcomes, it has to have follow-up instructions for both them 2a (what to do if the egg breaks) and 2b (what to do if it survives).
Once you break the first egg, you will have to play it safe with the can't take the risk of skipping any floor, lest you break the second egg and not be able to deduce the correct ction 2a of Google's algorithm has to say this, in so many words: the "slow algorithm" with the remaining it from every floor, working your way up the building until the egg maximum egg-safe floor is the one below instance, imagine the first drop is from the 50th floor, and the egg can't risk trying the second egg from floor 25 because it might break, d, you have to try floors 1, 2, 3 . And since we started with the 50th, that could mean making fifty drops in doesn't take much coder's intuition to see that a search needing fifty tests to find one thing out of a hundred is not 's better to count on making the first drop from a lower we start from floor 10, and the egg breaks, we might need as many as ten is the key aha! moment of the general, when the egg breaks on a first drop from floor N, it will take as many as N drops total to identify the right strongly suggests that the first drop should be from a floor much lower than choice has the appealing feature that we use the first egg to deduce the tens digit of the egg-safe floor, and the second egg to find the ones example, test the egg from floors 10, 20, 30, 40, and it breaks when dropped from floor tells us the maximum egg-safe floor is down to floor 51 and work upward floor-by-floor with the other the second egg breaks at floor 58, that means the egg-safe floor is efficient is this procedure? The worst-case scenario would be to try 10, 20, 30, all the way up to 100, where the egg finally could end up needing nineteen drops in all to determine that 99 is the correct Test Remember, the question asks, "How many drops would it take you to do it?" That's a strong hint that you're being graded on how few drops you need.
(More exactly, you're to minimize the number of drops required in a worst- case mes you'll get lucky and arrive at the answer in just a few drops. ) Because the first egg's role is as crash-test dummy, you want to put it in high-risk situations; that's how you learn as much as possible as quickly as it's the sole remaining egg, you have to play safe with 's the crash-test-dummy egg that's crucial to achieving a good 's the egg that can eliminate many floors in a single question is, how many? A bit of mental gymnastics is required to answer 're a professional golfer on the eighteenth hole, vying for a big win, you've got to make the hole within three necessity dictates which clubs you choose and whether you risk a bunker rather than playing it will require you to aim for the hole on the third stroke (rather than being satisfied with making the green).
The three-stroke limit constrains your strategy 's perfect algorithm also has a limit: a maximum number of drops needed to determine the correct D-drop limit constrains your the sake of concreteness, imagine the limit is ten you might as well drop the first egg from the 10th why? You want to choose a floor as high as possible, to rule out as many floors as 10th floor is the highest option, for this reason: should the first egg break, you could end up needing all ten permitted drops to determine the correct floor. (The above paragraph is the hardest thing to understand, I promise.
After the initial drop, you've got nine drops ng the egg survives, you will again want to move up as many floors as possible for the second might think you'd move up another 10 you've only got nine drops left, you can move up 9 floors at 's because the egg could break on the second drop, forc-ing you to use a floor-by-floor search might have to test every floor between 10 and the one you just tried, 19, using up all your allotted you gone up even a floor higher, you could get caught short and not be able to single out the correct say the egg survives the first two would go up 8 floors for the next floors you test, assuming a series of unbroken eggs, form a simple highest floor you can possibly reach is 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1.
This scheme would work perfectly for a 55-story the question says it's a 100- story er, I just picked 10 out of the e 10 with D, the required number of drops in the best algorithm. The highest floor an optimal method can reach is D + (D - 1) + (D - 2) + (D - 3)+ .
+ 3 + 2 + 1 This must equal or exceed sum above is D plus every whole number smaller than may recall from school that the total can be computed by multiplying 5 by 5 + 1 and dividing by 2. So you've got 5 x 6/2 = 15, and that's the number of balls in a this case, the sum of D and every smaller whole number is equal to D times (D + 1) divided by 2.
So: D x (D + 1)/2 ≥ 100 Multiply both sides by 2, and you get D2 + D ≥ 200 Focus on D2 and ignore the much smaller D. This equation says that D2 is at least as big as 200 or so.
132 + 13 = 169 +13 =182 Nope, that's not greater than or equal to drop the first egg from floor 14, and you're guaranteed to find the answer in fourteen drops or recap: First, drop the egg from floor it breaks, go down to floor 1 and work your way upward will get the answer in no more than fourteen drops the first drop not break the egg, go up to floor 27 (14 - 1 floors above floor 14) and try it break this time, you'll have to go down to 15 and work will also yield the answer in fourteen drops total or a string of unbroken eggs, you'd test floors 39, 50, 60, 69, 77, 84, 90, 95, 99, and then 100 (actually, were the building higher, the next floor would be 102). This means it would take twelve drops, and no broken eggs, to deduce that the egg can survive every floor of the the egg break at any point in the process, you'd be shunted into the slow algorithm and might need all fourteen permitted drops.
Add any standard arithmetic signs to this equation to make it true: 3 1 3 6 = 8 Advertisement Starting from the left, you see 3 and 1. The first maths sign you learned was probably a plus iently, 4 is half of 8, the number that's the a division sign between them and you've got 3/6 or 1 / 2.
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