Letter Of Guarantee !!! To Be Filled In English Only !!: Fill & Download for Free

When you start a game of standard hangman, the player knows only two things:The word is in EnglishThe number of letters in the wordThat is, if you start a game as : _ _ _ _ _, the player knows only that they are looking for a five letter English word.* I am going to assume you are playing a rational agent who will be working to minimise the chances of each guess producing a penalty.**If so, they will look at the length of the word, and then guess the most frequently occurring letter in the domain of words of that length. So, rationally, in a five-letter game like the above, they should look up all five-letter words, and pick the letter that appears in the largest number of cases.(Most people don’t bother conditionalising on the length of the word, but simply guess the most frequent letters in the English language, on the reasonable assumption that this pattern will be approximately the same when you restrict down to words of a given length. ETAOINSHRDLCU is as good a rule as any other. However, this assumption becomes worse and worse as the words become shorter, so I shall not make it).OK, so the worst word to choose will be one that this rational player gets to immediately. You might expect this to be a one-letter word. So you’d start your game like this:_Here are only three options: A, I, O. But this presents a problem. Given the space of one-letter words, there is (obviously) no most frequent letter: the player can only choose one at random.***The player will certainly get it in three turns, with a 1/3 probability of getting it without any penalty, 2/3 of getting it with at most one penalty, and certainty of getting it with at most two penalties.So the player is guaranteed to win, but not immediately. This isn’t as bad a choice as is theoretically possible.Can we do worse than that?Let’s look at two letter words. Amazingly, there are 101 of them, at least according to the (bloody stupid) Scrabble rules. Grrr.(Source: Word Finder)Count up the letters there, and you find that the rational choice to avoid a penalty is to guess “a”. This will give you no penalty on 27 words in the list (16 have it as first letter, 12 as the second), and this choice is better than any other (“o” is a close second, with 25 words).So to design the worst word, you should include an “a” in it, so that this first guess produces a hit.It looks as though we’ve got a problem though. Whichever place the “a” turns up in:a_ or _aThe player will be left with 16 words possible in the first case, and 12 words in the second, with absolutely nothing to go on. Damn! These two letter words with a single “a” in them suddenly like good choices! They have a decent chance of winning…But no! There’s a way out. 12 + 16 = 28, but I said that there were 27 two-letter words containing an “a”. Huh? What’s that very first word….?If we choose “aa” we’re saved. The rational player will guess “a” as their very first letter, and then win immediately. So that’s my answer: the very worst choice in hangman is “aa” which against a rational player will produce an immediate loss with one guess and no penalties.****Oh, and in case you were wondering:aa (mass noun, Hawaii): Geology: Basaltic lava forming very rough, jagged masses with a light frothy texture.UPDATE: Jake Williams wondered in comments whether there were any words that would make it impossible for even an irrational player to hang themselves, because they contain so much of the alphabet that any guesses in any order won't lead to hanging. I think that’s another good interpretation of the “worst word”.OK, let’s draw up the hangman thingy.That’s 11 lines. So to avoid completing this, we need to have at least 26 - 10 = 16 unique letters. Is this possible?Yes! There are several words that have 16 unique letters: superacknowledgement, pseudolamellibranchiate, pneumoventriculography, phenylthiocarbamides, formaldehydesulphoxylic, blepharoconjunctivitis. But my favourite is:hippopotomonstrosesquippedaliophobia (noun): the fear of long words.Put this up, and it is literally impossible for your opponent to lose, no matter how badly they play.[*] This suggests one way of losing immediately. Simply choose the a word with a unique number of letters. For example, the longest word in the English language is usually counted as “pneumonoultramicroscopicsilicovolcanoconiosis” with 45 letters. Seeing 45 spaces, the player will know immediately how to win. However, I’m not going to count this as the worst word to choose, because the player will need to make a load of moves to fill it all out.[**] Depending on their aims, a player might frame their approach slightly differently. If they are trying to minimise the probability of being “hanged” but don’t care how many penalties they end up with, they would try to minimise the probability of reaching a certain number of penalties. They would then get out their information theory textbooks and start reading Claude Shannon, who would tell them to choose letters that would maximise their informational gain on each guess. Such a player might make moves that differ somewhat from the “best move to avoid a single penalty” strategy assumed above. Showing how an assumption of such a player would change the result is — left as an exercise.[***] Maybe you should choose A and I before O? Because not many people know that O is a word. But if they’ve chosen a one-letter word, it’s likely to be because they know that and think that you don’t. But if they know that too…. ? You can outsmart yourself round in circles for as long as you like (see Vizzini in The Princess Bride). Flat frequencies are the way to go.[****] With three letters, choosing “baa” will give a similar result. “a” is the most frequent letter in the domain of 1,015 three letter words, so when the player guesses it and you write up “_aa”, the player is left with only one choice: choosing “b” to win. Again, the rational player will win without any penalties, though they now need two turns to get there.

No! That actually happened to me. One of our directors brought in her friend and requested me to report to her. The newly appointed lady worked in a completely different branch of the bank and had no idea of our operations. On her first day she apologized to me stating that she was aware that I was due for promotion but my employer decided to appoint her on a lateral move. Her salary would remain the same but she will rely heavily on my assistance and input. The director told her that she was in good hands because I was loyal, knowledgeable and reliable. I saw this as an opportunity to use to the best of my ability. I told her that I was prepared to assist her with her work on condition that I receive not one but two annual increases. My appraisal should afford me the maximum allowable increase. She agreed to those conditions and I worked my butt off holding two positions. My two year old daughter was neglected because I left home at 6am and returned at 9pm for six days in a week. My late mother who was still alive then, took care of her for the two years that I worked this shift. I saved all my overtime, increases and bonuses to pay for my daughters private school education. When a business opportunity arose I applied for it and my new boss gave a good recommendation.Today I run a successful business with my previous employer as my main client. All in all it worked out well for me because when I look back I accumulated much more wealth than she ever earned in her senior position. It could be that your boss had no say over this appointment and that it was merely a cost cutting exercise.My ex boss (newly appointed over me) marveled at the success of my business and shared the details with her husband. He was inspired and decided to start his own business. He was one of three directors at one of the major stationery suppliers who resigned to start up their own business venture to compete with their employer. A year later he complained that he was doing all the work (karma) and they were receiving an equal portion of their profits. He broke away from that business to start up his own one man business. His new business failed in less than one year and was liquidated. The business that he broke away from remained successful and is still operational today. At the same time that he started his business, his wife (my ex boss) retired to take care of her grandchild. Work pressure was too much for her. She worked for over forty years at the bank and her pension was a handsome amount. That amount of retirement fund could’ve lasted her until her death. Both her and her husband are destitute and unemployed now. I cannot understand why they are desperate today, unless her attractive pension package was used to start up her husband’s business. I really care deeply about her and tried finding her but she moved far away. I hear all kind of negative comments about her financial ruins and wish there was a way I could help her.Today, my then two year old daughter is twenty four years old. She is studying in Germany at private educational institutions. She passed her final exams during June 2020 and is qualified as a medical doctor. Her graduation ceremony was one month later. She intends practicing medicine in Germany. Her two options are radiology or oncology. She applied for both these positions and her initial, virtual interview is due soon. This will be the first of many interviews and God willing she will succeed. My business made it possible to afford private European education during high school and college. Although Germany provide free tertiary education she was told to wait for 6 years because there were many other students before her with higher grades that wanted to become doctors. Meanwhile she was not allowed to enroll in any other course at university. Each person is allowed one free course only. She opted to enroll at a private medical school. After completing her first year she received a letter stating that she qualified for enrollment but had to repeat year one. By now she had a relationship with her boyfriend who was at the same college and she declined the offer. She continued at her current university paying high fees. Her younger sister is studying to become an Accountant in California. Both my children come home twice a year. We have an excellent relationship. Our family is in the process of emigrating to the U.S. through an investment visa but unfortunately my then two year old daughter renounced her U.S. green card. She wasn’t allowed a reentry permit allowing her to complete her studies. She was going to her final year and wasn’t prepared to abandon her studies. She opted to complete her medical studies in Europe and apply for a blue card which is similar to a Green Card but issued to people providing critical shortage skills in Europe. Her boyfriend is German and studies medicine as well. That could be another contributing factor why she opted to remain in Europe. All of this wouldn’t have been possible if I didn’t humble myself and assist my then boss. Today I am proud to announce that not even COVID-19 could prevent her from realizing her dream. She qualified on June 30 as a medical doctor. She was very emotional because she was afraid that COVID could potentially shatter her dream. Her graduation ceremony will be in July and will be done virtually. What a pity that we are unable to share this glorious moment with her. Incidentally, long before COVID, she decided to become a pulmonologist. She felt that patients were leading unhealthy lifestyles and smoke. The air that we breathe in is impure. For that reason the demand for pulmonologists were on the increase. COVID added to that need. I know not everybody will be happy for me but I’m a super proud mom who has a daughter that graduated as a medical doctor in a foreign language like German! What an achievement!As a matter of interest I want to share her linguistic experience with you. As a foreigner who has no links to that language (German) she excels but most people do not believe that she is not German. Instead of complimenting her on mastering the foreign language, she is seen by most people as a German who speaks German with grammatical errors. When in fact she should have been complimented for her remarkable achievement. Although English is her mother tongue, she excels in German and states that even her dreams are in German. Her spoken English is excellent but written is not as good as her German because her entire education was in German. She participates in English debates to maintain her English skills. For the studies she watched English YouTube topics. This was to her disadvantage because when she erroneously mentioned a person’s name in English not German, the answers were marked wrong. However she feels that she has an advantage because she is able to speak several different languages.I want to conclude by saying if your boss really values you and want you to carry the person he appointed higher than you, he has to let you know what’s in it for you. Remember I named my price and it was agreed to. If there’s nothing in it for you, then it would be only lip service about how valuable you are. Your capabilities should amount to something. Challenge him to see how sincere he is. If he values you, he could give you a small increase as a token of his appreciation.I thoroughly enjoyed the work I was doing. In our industry this was a rare position for a non-graduate. I worked in the legal department of a blue chip bank: a highly sought after position. The experience I gained in that department was a pre requisite for the business I started when I left that position. In addition to that I met my business partner who was an admitted attorney while doing that work. I believe that my humility during my boss’s appointment produced way more rewards than resigning and switching jobs would’ve done. Besides that, I wasn’t guaranteed to receive another position in the legal department. Today I am an “unqualified”attorney (based on knowledge only not ability to act in legal capacity) who audited attorneys books because she was unable to. I was fascinated with the facts I learnt whilst auditing. Most of the debtors feel that they’ve been ripped off after a sale in execution. That entire process involves a lot of costly procedures. First the sheriff has to go out to give an assessment of what he values the debtors belongings. This assessment is then returned to the creditors who has to decide whether it will be worth their while to proceed with the attachment. The sheriff has to be paid to go out and do this assessment. If there are only basic essentials like a bed and a fridge, the sheriff will send a “nulla bona” return. This means that there is nothing worth attaching. With that return the attorneys must do a garnishee order. In the case of a garnishee order I had to ensure that not more than 40% of a debtors salary is attached. Where the goods had to be attached for the sale, the sheriff had to place an advertisement about the auction for at least a week in the local newspapers. This is another expense that has to be paid from the sale. The goods had to be transported to storage and transport costs has to be paid. In addition to this he had to find a place to store the goods. Storage has to be paid out of the proceeds of the sale. On the day of the auction an auctioneer must be appointed and paid. After paying all these parties there’s very little left. As part of my audit I had to ensure that the debtor isn’t charged for negligible actions. Paralegals would be too lazy to check the distance to the sheriffs office and issue documents to the wrong jurisdiction. This action had to be redone and sent to the correct jurisdiction. The sheriff was laid fir the first service. It was my responsibility to ensure that debtors were not charged for mistakes and fees had to be adjusted.I remember notifying one attorney that his fees were excessively incorrect. His response was “do you know who I am. I own a private jet and a Ferrari. How dare you dispute my fees. After a disciplinary hearing where the head of legal was present, he was removed from the panel. He was working for 5 years and the bank never received any income from him. He was being paid for work that meant nothing to the bank. I introduced contingency commissions where attorneys were paid a fixed commission only. I marveled at the thought of this introduction only to find out it was an age old tradition. How immature of me to think that I could introduce something new to the legal practice. Nowadays only qualified attorneys can fill that position. I was truly blessed to have been given this rate opportunity.This really boosted my growth more than I could imagine. I gained extensive legal knowledge and experience that I can apply in my daily life. I’m eternally grateful for the experience I gained whilst working with her. I must admit she was a humble person who gave credit where credit was due. Whenever I excelled she acknowledged and rewarded me.Fast forward: During COVID both my daughters graduated. My eldest daughter who renounced her U.S green card, attended her graduation where no attendees were allowed but a virtual copy was recorded. I was humbled by her achievement. At the young age of 24, she became a qualified medical doctor in Europe. Her graduation was on July 28,2020. Immediately after the graduation she applied for 2 medical positions in Germany and was accepted at both hospitals. The one position was in the area she wanted to work because it was close to relatives and friends. They were looking for an oncologist. She’s sensitive and witnessing so many people die, scared her. The second position she applied for was in a smaller town for the position of a radiologist. She was accepted and required to start immediately. Her work permit and visa is taking longer than expected and as at September 20th, she’s still waiting for a it to book her Online appointment with the embassy (COVID related. Her future boss told her to expect to work overtime as the work is piling up. She’s excited about this position because they offered her a five year contract whereas all other positions allow only a one year contract. The idea of having to reapply for a work permit every year is mind boggling. She started her employment early November 2020. The medical program in Europe requires each doctor to occupy a position for six months before moving onto the next position. Since she was supposed to start in August, her program is delaying incoming interns. She’s currently working in the X-RAY department. She will be moving to the CAT scan department. After five years and having covered all departments in the radiology departments, she will become a qualified radiologist. She’s extremely happy in her new position.Her sister who is three and a half years younger than her, graduated with an undergraduate degree in Accounting in California but her graduation ceremony was canceled. She completed her degree in three years instead of four by increasing her coursework and doing CLEP exams to fulfill her requirements. Doing the CLEP exams instead of in class teaching had its advantages as well as disadvantages. She was able to complete her degree one year earlier and as a result she will be earning an extra years income. The disadvantage is that all her classes that she felt highly confident in, she enrolled online which reduced the GPA since only in class courses were graded and online courses only provided credits. She is currently enrolled in the Master of Accounting program while simultaneously studying for her CPA exams. By the grace of God, she has two job offers and was given two weeks to sign a contract. This is a difficult decision to make because one is in her ideal location, near the beach, good weather with many people in her age group, while the other one is a big firm with possible rapid advancement. One of her positions offered her an internship position. This position is in Laverne and they are telling her that she’s a full time intern. Once her internship is over, she will be starting her full time position. This business wants her to complete 40 hours a week while studying full time for her Masters degree. She only has another semester left to complete her MAcc degree. Thus business took very long to get back to her. After three interviews she didn’t hear from them and received another full time offer. As soon as she signed that contract in the scenic spot, tge internship and full time offered was on offer. She’s currently working as an intern where she negotiated her hours down to thirty hours. It’s going to be tough but she will make her final decision upon completing her internship. Incidentally, the company where she’s employed as an intern opened up a branch in the scenic beach area. That’s another option to consider.What’s interesting though is that both my daughters graduated in 2020. My eldest daughter is employed as a trainee radiologist in Germany while my youngest daughter has an internship in an accounting firm in California. Their salaries are strikingly similar except for the foreign currencies. My youngest daughter was told by her employer that she would be earning six digit figures once she passes her CPA board exams. However, it is all relevant because the cost of living is high in California with unaffordable housing for most of the people. The only expense in Germany is health insurance which is high for foreigners. Health care for EU citizens are free. All in all, the U.S pay high salaries which is associated with the high cost of living.Please don’t regard this as bragging. I’m merely trying to point out how that important decision not to resign, enriched my family’s life. All glory be to God.My employer wasn’t in the United States. All comments are appreciated.Thanks for all your upvotes and comments

You can turn around your life. I won’t guarantee a Harvard admission, but I’m betting more than one good university will be interested in the story of a freshman who went from a 1.0 GPA and no accomplishments to a 3.0 or better GPA and a list of extracurriculars.Your #1 priority is your GPA. You have to work hard and get any extra help you need. You have to take your work seriously. No more blowing off a homework assignment, no more skipping over the essay part of an exam. You do every piece of homework and you do every single question on an exam. You show up to class everyday, you keep your phone out of sight, and you get a notebook and start taking notes by hand. You can take extra classes in the summer or online to help boost your GPA. You start taking the hardest curriculum, honors and AP or IB. You might not make an A in those classes, but you’ll learn more, which will help you be more successful later on.Second, you hone your writing skills. I’ll bet you anything you can find an English teacher in your school who will work with you one-on-one. Show him every essay you write; get his feedback; apply his suggestions. Become the master of revision (trust me, none of your fellow high schoolers are masters of revision). Read everything you can get your hands on, and it doesn’t matter much what you read. I’ll bet there’s another English teacher who would enjoy discussing books with you.Your next step is finding someplace in the community to volunteer. My suggestion would be your local Boys/Girls Club. If you have a definite interest in something else, go for it. Join a school club or organization that stretches you. Debate is a lot of work, but the skills you learn are important to doing well in high school and college. DO NOT JOIN EVERYTHING! Pick one or two things and specialize.By the time you’re a senior, you’re going to be ready to fill out the Common Ap. You’re going to highlight how much you’ve changed since you were the freshman with the 1.0 GPA. You’re going to go to that English teacher for a letter of recommendation that highlights the ways you’ve improved as a writer and a reader. Your volunteer supervisor is another source for a letter of recommendation.This is the point where I’ve got to shoot straight with you. You probably won’t get into Harvard. AND THAT’S OK. By the time you’re a senior, Harvard probably won’t even be your goal, because you will have discovered something you are passionate about and you’ll know the best university you can attend to cultivate that passion. You’ll discover that state universities are dying to snap you up and will overlook who you were at 14. But wait! There’s more! You will have established a network of people who care about you. You will have become better educated than most of your peers. You will be well on your way to becoming a successful, contributing citizen with a good job. You will have acquired the qualities for being a good friend, a good partner, a good parent. I cannot over emphasize how much more important those things are than a Harvard education.I used to tell my students who obsessed over GPAs and SAT scores and Ivy League admissions to take a walk in a cemetery, notice what was engraved on the tombstones. I’d tell them to count the number of memorials that listed GPA and SAT and Ivy admissions. I could tell them how many there would be: zero. Life’s about being a good friend, a good partner, and a good parent. You can’t measure that with a GPA or a standardized test or college admissions. Become the best person you can be, and you’ll be far ahead of the kid who wants only to get into Harvard.