Should I mention my subscription to Numberphile in my personal statement?
Not really, it belongs with admissions of being a trainspotter, liking Paris Hilton and abusing small animals.
It doesn’t really matter what side of mathematics you will discuss more, the really important thing is telling more about your personal experience and qualities. Usually, you should divide your statement into three parts:your past;your present;you future.The first part of it will be more about your background: what is you education, personal and professional experience, etc. However, your shouldn’t simply duplicate information that has already been stated in other application papers: tell some interesting stuff, like problems that you faces and how they influences your personality, etc.In the part about your present you should discuss qualities and skills that make you the person you are at the moment. Again. try to add a personal touch and engage with the reader.And the part about your future should be all about your future plans, what is necessary for you to accomplish those and how you’re going to achieve your goals.For additional information check out University of Bristol Personal Statement.Good luck!
You can use Fibonacci numbers to calculate from Miles to Kilometer and vice versa quickly and roughly (Obviously not accurate but accurate enough).Explanation:Sequence: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...Take any two consecutive numbers from this series as example 13 and 21 or 34 and 55.Now smaller number is in miles = the other one in Kilometerorbigger number is in Kilometers = the smaller one in Miles (The other way around).34 Miles = round(54.72) Kilometers = 55 Kilometers21 Kilometers = round(13.05) Miles = 13 MilesFor distances which are not exact fibonacci values you can always proceed by splitting the distance into two or more fibonacci values. As example, for converting 15 km into miles we can proceed as following:15 km = 13 km + 2 km 13 km -> 8 mile2 km -> 1 mile 15 km -> 8+1 = 9 mileAnother example, for converting 170km into miles we can proceed as:170 km = 10*17 km17 km = 13 km + 2 km + 2 km = 8 + 1 + 1 miles = 10 miles (approximately) Now, 170 km = 10*10 miles = 100 miles (approximately) So, either way we can proceed. For bigger numbers we can proceed as above. Now, why this works? Pretty simple, as we move toward bigger numbers in fibonacci series, the consecutive number grows as: F(n) = 1.618*F(n-1)The constant 1.61803 is called Golden ratio. On the other hand, the mile to kilometer ratio happen to be 1.60934 which is too close to golden ratio. That's why we can use fibonacci series to convert miles to kilometers and vice versa.
Revolutionary.I used to believe that math explanations necessarily fall into a narrow range from “not sufficiently clear” to “really good”. What 3Blue1Brown taught me is that there is another category entirely, achievable only if you make visualizations based purely what would be most pedagogically helpful, not based on what would take a reasonable amount of time and effort to produce. Grant does this beautifully, and he combines it with sharp expositional skill and an instinct for inspiring mathematics. I’ve been sponsoring 3Blue1Brown on Patreon for quite a while now, and I am grateful for the opportunity to support this kind of brilliant work.It’s worth noting that 3Blue1Brown is not a substitute for an actual course. You have to solve problems to gain proficiency in mathematics, and watching videos is not the same as solving problems, no matter how good they are. The videos don’t even provide comprehensive coverage of the lecture portion of a course. Instead, they focus on a handful of crucial concepts and important visualizations that will help you with learning and contextualizing the material in a course. There are also quite a few videos about miscellaneous topics (like Bitcoin) where you might be quite content with one-video-level knowledge. I think this approach makes perfect sense from the point of view of a content creator with limited bandwidth trying to seize the highest-value opportunities first.I make a habit of cross-referencing my course materials with 3Blue1Brown wherever possible, and students love it as a course supplement. I believe that we mathematicians have overestimated how well our hand-waving explanations transfer our mental models of mathematical ideas to our students. I believe we also underestimate how much there is to be gained from reifying those mental models as vivid and complete animations. I look forward to the day when the tooling is refined enough to enable many more math educators to do that. My dream would be to have full coverage of standard courses with 3Blue1Brown-quality videos, at the granularity of individual learning objectives.
The definition of an even number:Definition 1: A number is even if it is divisible by 2. (or "A number is even if it has 2 as a factor"Definition 2: A number is even if it is a multiple of 2.By the definition of a divisor or factor:D is a divisor of N if and only if N/D is an integer ,By this definition 0 is even since 0/2 =0 which is an integer.You might be thinking then why 0 is not a odd number .By definition an odd number is a number which can be represented in the form of (2n+1) ,where n is an integer but 0 cannot be represented as 2n+1 and hence it is not odd.Proof :2n+1=02n=-1n=-1/2since n is not an integer therby 0 is not an odd number.