Volume 20, Numbers 1&2: Fill & Download for Free

I was waiting that someone will ask it. Was sick of same question about computer guys, and programmers.Let me tell you some-[math] \pi \neq 22/7 [/math]0.999999.......=1The Largest known prime number till this date is [math] 2^{57885161}-1 [/math]. It has [math] 17,425,170 [/math] digits. It is a Mersenne prime'Balls' can be square too.Everything you can do with ruler and compass, you can do with compass alone. For more info read this- Geometric construction with the compass aloneThe most famous theorem of mathematics- Pythagorean theorem- whose NCERT proof troubles school kids most, has more than 500 proofs, may be more than 1000's. Eli Maor wrote a book in which he showed 367 proofs that were distinct enough to bother writing about separately. " (The Pythagorean Theorem)"Yes, 1>0 needs a proof.​​​[math] 0 [/math] can be equal to [math] 2 [/math], if you work in field of characterstic 2 i.e. [math] \mathbb{Z}_2 [/math].Jordan Curve Theorem- It is a very tough theorem to prove that every simple closed curve divides a region into two parts, "interior" and "exterior".​​​​A mathematician Kurt Godel has actually proved that God exist!!The Proof-Gödel's ontological proofA shape with finite volume must have finite surface area- FalseGabriel's Horn is an example.There are more rational numbers than there are integers- False[math] i^i [/math] is real number.​​​​The Fibonacci sequence is encoded in the number 1/89- ( 1/89 = 0.01 + 0.001 + 0.0002 + 0.00003 + 0.000005 + 0.0000008 + 0.00000013 + 0.000000021 + 0.0000000034 ...)Too much beauty in one pic..In a room of just 23 people there’s a 50% chance that two people have the same birthday.​[math] 1+1/2+1/4+1/8+ \ldots \ldots =2 [/math]Joke based on this- Infinitely many mathematicians walk into a bar. The first says, "I'll have a beer." The second says, "I'll have half a beer." The third says, "I'll have a quarter of a beer." The barman pulls out just two beers. The mathematicians are all like, "That's all you're giving us? How drunk do you expect us to get on that?" The bartender says, "Come on guys. Know your limits.[math] 1+1/2+1/3+1/4+ \ldots \ldots =\infty [/math]Joke base on this- An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third orders a third of a beer. The bartender bellows, "Get the hell out of here, are you trying to ruin me?"A pizza that has radius “z” and height “a” has volume Pi × z × z × a.If you shuffle a pack of cards properly, chances are that exact order has never been seen before in the whole history of the universe.Explanation- A deck of 52 cards can be ordered in [math] 52! = 52 \times 51 \times 50 \times...\times 2 \times 1 [/math] ways. But 52! is a very large number: larger than[math] 8 \times 10^{67} [/math].How big is this number? Well, someone shuffling a deck of cards once per second since the beginning of the universe (believed to be about 14 billion years ago) would not have shuffled the deck more than [math] 10^{18} [/math] times.Zero is even number.Three Interesting Theorems-The four-color theorem states that any map in a plane can be colored using four-colors in such a way that regions sharing a common boundary (other than a single point) do not share the same color.Brouwer’s Fixed Point Theorem (implication) says that if you take two sheets of paper, one lying directly above the other. If you crumple the top sheet (do not rip or tear the sheet), and place it on top of the other sheet, then there must be at least one point on the top sheet that is directly above the corresponding point on the bottom sheet! Do you believe that?Hairy Ball Theorem (Real life implication)- It states that given a ball with hairs all over it, it is impossible to comb the hairs continuously and have all the hairs lay flat. Some hair must be sticking straight up!​​​​It took Russell and Whitehead several hundred pages to prove that 1+1=2 in Principia Mathematica.Divisibility by 7-Remove the last digit, double it, subtract it from the truncated original number and if the result is a multiple of seven, then so is the original number, keep repeating till number is small enough.Random walk theory- A result by Polya states that in one or two dimension, a random walker returns to the origin infinitely many times but only a finite number of times in dimension 3 (or greater).Thus they say- "A drunk ant or a drunk man will always reach home but a drunk bird might not!Mathematician exclusive jokes-"The B in Benoît B. Mandelbrot stand for Benoît B. Mandelbrot."(If you know a little about Fractals)My Favourite- "A comathematician is a device for turning cotheorems into ffee." (Hint look up Paul Erdos quotes)."I went to visit him while he was lying ill at the hospital. I had come in taxi cab number 14 and remarked that it was a rather dull number. "No" he replied, "it is a very interesting number. It's the smallest number expressible as the product of 7 and 2 in two different ways."-Hint- Ramanujan's most famous story.Prof: "Give an example of a vector space."Student: "V"Why did the mathematician name his dog "Cauchy"? Because he left a residue at every pole. :PThe primary reason Bourbaki stopped writing books was the realization that Lang was one single person."Let epsilon<0."[math] \int 1/cabin \ d(cabin)= Houseboat [/math] {Don't forget the constant C (sea)}[EDIT]36. Wine/water mixing problem-In the wine/water mixing problem, one starts with two barrels, one holding wine and the other an equal volume of water. A cup of wine is taken from the wine barrel and added to the water. A cup of the wine/water mixture is then returned to the wine barrel, so that the volumes in the barrels are again equal. The question is then posed—which of the two mixtures is purer?Any Guesses?Answer- Both mixtures will be of equal purity.Yes it is a math (logic) problem. Here is the solution-37. Frobenius Coin Problem- You must have done a puzzle like " the largest amount that cannot be obtained using only coins of 3 and 5 units", Right? Answer here is 7 units. Answer to this type of problems is called Frobenius number.For the case of two denominations , say, a units and b units where a and b has no common factors other than one, there is a formula to get the answer i.e. Frobenius number, which is N= ab-a-b.But there is no formula for case with three or more denominations, but algorithms exist.

How many bowlers have crossed 500 wickets mark in One Day International?Muttaiah Muralitharan- 534 wickets in 350 matches in a career spanned for 18 yearsWasim Akram- 502 wickets in 356 matches in as many as 19 yearsJust 2! & they played almost 18–20 ODI matches every year of their cricketing lifeOne is master of spin and other is monarch of swing.Where is Jasprit Bumrah right now?World number 1 ODI bowler is 58 matches old and has taken 103 wickets so far. This is when he debuted in One Day scheme of things for Team India in January 2016 and featured almost regularly with the squad. This means he is already 3 years and 7 months old. & he is playing only 15–17 ODIs per year.The scantily-built pacer from Gujarat has managed to perfect the art of bowling inch-perfect yorkers and emerged as the best death bowler across the world.Can he take 500 wickets in ODI?Let’s analyse:From September 2019 to November 2022 India is slated to play 59 One Day International Matches. In addition to these, the sudden planned BCCI obliged series also takes place. Let say another 11-16 matches. Thus 70-75 ODI matches are destined for Men in Blue in the next 3 yearsSafely considering the fact that Bumrah’s workload management is key focus of BCCI and Kohli-Shastri leaves no stone un-turned to safeguard their most important bowling weapon, he will not play more than 50 ODIs in best case scenario (This is the maximum I am considering)If we consider his bowling form for the next 3 years, to remain the same, he will not be sitting with more than 210–220 wickets under his belt. At this time, he will be 28 years old.Nobody knows with the advent of so much Twenty20 cricket, what will be the future of ODIs at the tail end of year 2022. Staying optimistic if One day format survive with same volume of matches for the next 6 years. Bumrah will be 34 years old & somewhere around 430–440 wickets by year 2028 end, still 60–70 short of 500.Stretching a couple of years like Zaheer Khan in 2030 he might cross 500 marks. Too wishful but not impossible!Fast bowling is enchanting, thrilling and eventful but there are several instances when the pacers promising careers are repeatedly and severely cut short by multiple injuries. Fast bowlers at International level significantly increased their risk of injury when their bowling workload exceed.We have plenty example including Dale Steyn, Shane Bond, Nathan Bracken, Ian Bishop etc.Ajit Agarkar, who played 9 years and scalped 288 wickets (32 wickets per year) for his team. Agarkar played his last match for India when he was just 29, so it is very difficult to say how long will Bumrah continue.Bumrah is no different. He can (god forbid) be victim of small injuries here and there which may cause hindrance in these stats ambitionsRather than focusing on his 500 target we should just enjoy his incredible bowling which is receiving praise from bowling giants like Andy Roberts & Sir Curtley Ambrose:

Hi Everyone!I can say that by far this will be one of the most phenomenal transformation stories you've come across.This is a transformation story of a guy who was the most insincere and notorious kid of our colony. Born in early 90s in Gorakhpur, he was never a serious guy in studies or sports. He used to trash everything came around and laugh at it later. Volume of his diet could’ve flabbergasted anyone. At his age of 8, he managed to eat more than 10 samosas at a time and still craved for plenty of it.Well this was his story of childhood :DHe somehow managed to pass intermediate with an average score and joined Deen Dayal Upadhyay University, Gorakhpur (Commerce Stream) with a mammoth target of cracking CA in around 2008.DAILY DIETBreakfast: N number of chapatis/Parathas or (N+20) number of Pooris. + A lot of Ghee and CurryAfter Breakfast and Before Lunch: Countless dessertsLunch: 3 Big heaps of Rice quantified with Daal and other add-ons (North Indian Meal)Evening Snack: 8–10 Samosas OR 500 Gms of Jalebi OR 3 Burgers OR anything in huge quantity.Dinner: Anything what his mom prepared with lots of love followed by laddoos (mostly).With the backing of dad (A prestigious Eye Specialist in Gorakhpur), he still managed to procrastinate everything coming around. By 2011, he cleared his graduation (with average scores obviously) and managed to leap out of basic level of education. However, CA was still a far-sighted dream.Height: 6 Feet 1 InchesWeight: 138 Kgs.Well, this was a point where this fat guy stood aghast because he couldn’t see anything but a deserted road to unemployment and ill-health due to surmounted fat that he accumulated for 20 years.This is the first half of the story the guy who used to look like this in 2011.In 2011, he seriously started preparing for CA. However, health was still a tertiary plan in his mind. Hard work and determination to come out of black-hole of unsuccess kept him going. It was already 2013 and CA was still a distant berry to pluck. Never said to anyone, but pain to overcome whatever he didn’t had was clearly visible, physically and mentally.And as it is said, “The oak fought the wind and was broken, the willow bent when it must, and it survived!”In front of everyone’s eyes, this guy arose from the ashes like Phoenix.He started his physical transformation paralleled with his studies. He missed his CA results with very close margin in 2013, but he managed to start looking like this.Height: Same as aboveWeight: 72 KgsTransformation Period: 7 MonthsDIET (This was his standard diet which he regularly followed, without cheating)Breakfast: Sattu (Mixture of ground pulses and cereals) - 1 Full GlassLunch: 4 Chapati, Daal, Vegetable Curry, SaladsDinner: 4 Chapati, Vegetable CurryThe biggest question was how he managed to kill his hunger and craving.!!So, he used to have few dry fruits, apples and roasted grams as his munchies which managed to fill him with necessary complex carbs required to keep him going through studies (Prime Objective).Moreover, his workout plan was also not very complex.Step 1: 30 Mins of Cross-trainerStep 2: Crunches: 30 Reps in 3 SetsStep 3: Cycling: 15 MinsHowever, he restrained himself from weight-lifting because he can’t afford to take heavy nap after his training.By early 2014, CA results flashed out and this guy made a successful debut in that elite club. A guy with sharp jawline and a tag of CA succeeding his name.Height: Same as aboveWeight: 75 KgsAmigos! This is the story of Ashutosh Pandey who never looked back after his success in CA. He transcended all his shortfalls and overcame most of the tall targets with his sheer resilience and hard work (Recently cleared CFA level 2).We have been best pals for 25 years now and this guy stands as an inspiration to all who knows him.This is us :DPlease upvote if this story inspired you to be the Phoenix of your life!Cheers :D