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PDF Editor FAQ

How can I prepare for RMO in 11th standard?

What one fool can do,another can as well!You remind me of myself three years ago. I was a Maths prodigy unlike you,charting wonderful scores of ZERO and NIL in class 9 and 10 in RMO respectively.But as you know,my intent of writing this answer is not to boast about how prodigious I was but infact,the rest of my answer details the approach I followed in Class 11 that surprizingly enough,enabled me to score 86/102 in RMO 2014 and topping my state in the process.OK,enough talking.Let's start the preparation.Prerequisite: Passion and patience to appreciate the beauty of MathematicsTask 1: Understanding the gameRMO traditionally has 5–7 questions.The questions can broadly be divided into:Number TheoryAlgebra: includes equations,functions and inequalitiesCombinatoricsGeometryYou should try to get atleast 3 correct to get you through.Task 2: Your levelTake your previous year RMO paper and try solving it again in three hours.Check your score from the solutions.This will enable you to assess your standing and your weaknesses. Note down the topic you are well versed with and the one you are petrified of. Cheer up,we’re just starting!Task 3: The toolkitThe secret to becoming great is to pretend that you are one.For that,surround yourself with loads of books preaching in Mathematical philosophy.The ones I remember fondly are,Challenge and thrill of Pre-College Mathematics: The best book on geometry for RMO.Starts from scratch.Use it for your geometry lessons.INMO by Arihant publications: The perfect resource book. Use exclusively for Algebra and the practice papers.Problem primer for the Olympiad: Perfect for revision. Has around 100 standard problems with solutions along with the formulary. If you don't know where to start,here it is.There we have the main resource books.Along with that,if you want to improve your logic and intuition,you may check out Mathematical Circles and Problem Solving strategies by Engel.Task 4: Start the grindThe most time tested strategy is practice.Get your hands on all previous RMO and pre-RMO papers and solve and study them.Even if you are shy of the books,practicing papers is a must. Understand your weak areas, and strengthen them using the books or solutions.Task 5: ThinkThink.Explore.Understand. Try out your own methods. Discuss with friends and teachers. There is a book by Terence Tao on Olympiads titled Solving Mathematical Problems: A personal perspective. I recommend it. The pdf copy is available online easily.Read its preface.You will realize Mathematics is indeed fun and elegant if approached in the precise way.Remember,the best answer to any problem is also the easiest.So, I attempted at a strategy for your RMO preparations.I was not gifted enough (read lazy) to clear INMO.I leave you alone in the dark for that.Time seems to be enemy for RMO.You have KVPY and JEE to worry about too.But, I think RMO infact,compliments and enhances your prep for other exams.You gain intellect and intuition for the same.Infact,I spent only one month in full RMO preparations,right after KVPY.I think it's worth the time,honestly.So there.I leave you now.Kudos!You have reached the end.All the Best!And remember again,What one fool can do,another can as well !

What is the legal requirement for personal information when hiring someone in the White House? Will this factor into the aftermath of Rob Porter's resignation?

Though I am not sure exactly what you mean by “legal stipulation”, there is a federal standard form completed by incoming staff. You can download the SF-86: Questionnaire for National Security Positions at the US Office of Personnel Management’s Standard Forms page. (It’s a 136-page PDF.)There may now be a supplemental questionnaire completed by potential Cabinet secretaries, senior staff members, etc. The legal history unearthed in Rob Porter’s background investigation would already by covered by the SF-86 and related interviews. Less obvious issues get added to vetting processes after lessons learned the hard way. For example, in January 1993, Zoe Baird withdrew from the confirmation process to serve as U.S. Attorney General after it became known that she did not pay Social Security taxes for a household employee. Ever since then, questionnaires cover employee taxes, whether or not such questions appear on the SF-86 or similar government forms.As to the aftermath of the current scandal, any standard background check would reveal the charges filed against Rob Porter, and the fact that a judge issued a domestic violence protective order. And the standard SF-86-based background investigation DID reveal this. John Kelly and others in the Trump Administration chose to overlook the evidence and the inability of Porter to obtain a permanent security clearance. It is not clear to me whether there will be repercussions for other Trump appointees who are being denied full security clearances. It’s possible that Trump officials at the FBI and at other law enforcement agencies will be ordered to give permanent security clearances despite pre-existing apolitical standards. I do not have the expertise to know whether that would violate any laws.

We know that the ratio of atmospheric gases is the same at all altitudes (ie; 78% nitrogen, 21% oxygen etc even if the air is thinner at higher altitudes), but at what height does that stop being so?

The US Standard Atmosphere makes a bunch of assumptions to get an explicit model. These assumptions are not strictly true, but close.They assume atmospheric composition is constant to 86 km, geometric, Only temperature and pressure vary. Above that height, they model the composition assuming a portion of the diatomic molecules are in fact ionized atoms. This makes the average molecular weight a function of altitude. It’s pretty complex. If you want more detail, read the document (available as pdf)

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