Do you recall studying for your exams? You probably do. But do you remember how you studied, how you memorized French words or the year of the American civil war? Now, that’s probably harder. As a teenager, Ricardo Lieuw On was packing groceries when he knew what he wanted to study: he wanted to learn about learning. He picked up a study in psychology and learned how to reduce his learning time from 3 hours to 1 hour on the same piece of content. He gained the same knowledge in 200% less time. And specially for TEDxHaarlem, he shares the secret of his technique. This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at https://www.ted.com/tedx
How to triple your memory by using this trick Ricardo Lieuw On TEDxHaarlem
This is another brillian video from Mathologer. In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. If you want more details go to the video on Mathologer.
Pascal’s Triangle
One of the most interesting Number Patterns is Pascal’s Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). …
Diagonals. …
Symmetrical. …
Horizontal Sums. …
Exponents of 11. …
The same thing happens with 116 etc.
Squares. …
Fibonacci Sequence.
The Coefficients of the Binomia Theorem from Pascal’s Triangle
Pascal’s triangle formula is (n+1)C(r) = (n)C(r – 1) + (n)C(r). It means that the number of ways to choose r items out of a total of n + 1 items is the same as adding the number of ways to choose r – 1 items out of a total of n items and the number of ways to choose r items out of a total of n items.
The Fibonacci sequence with Pythagorean triples
The sum of the squares of consecutive Fibonacci numbers is another Fibonacci number. Specifically we have the following right triangle. The hypotenuse will always be irrational because the only Fibonacci numbers that are squares are 1 and 144, and 144 is the 12th Fibonacci number.
Pascal’s triangle is commonly used in probability theory, combinatorics, and algebra. In general, we can use Pascal’s triangle to find the coefficients of binomial expansion, the probability of heads and tails in a coin toss, the probability of certain combinations of things, and so on…
Video
About Mathologer
Enter the world of the Mathologer for really accessible explanations of hard and beautiful math(s). In real life the Mathologer is a math(s) professor at Monash University in Melbourne, Australia and goes by the name of Burkard Polster. These days Marty Ross another math(s) professor, great friend and collaborator for over 20 years also plays a huge role behind the scenes, honing the math(s) and the video scripts with Burkard. And there are Tristan Tillij and Eddie Price who complete the Mathologer team, tirelessly proofreading and critiquing the scripts and providing lots of original ideas. If you like Mathologer, also check out years worth of free original maths resources on Burkard and Marty’s site http://www.qedcat.com.
Each person in grammar represents a different perspective or point of view (POV) in a narrative. First person includes the speaker (English: I, we, me, and us), second person is the person or people spoken to (English: you), and third person includes all that are not listed above (English: he, she, it, they, him, her, them, the people). It also frequently affects verbs, and sometimes nouns or possessive relationships.
First Person POV (I am experencing it) – “My heart leaped into my throat as I turned and saw a frightening shadow.”
Second Person POV (putting you into the story) – “You turn and see a frightening shadow.”
Third Person POV (about a group) – “They turned and saw the frightening shadow.
The First-Person Point of View
When you write or speak in the first person, you are telling your own thoughts or ideas or those of a group you belong to. The following are examples of self-directed statements:
I arrived at the party before the other guests did. There was a ticket waiting for me at the counter. This has always been a favorite movie for us.
The Second-Person Point of View
The second person addresses the audience whether it is one person or many people:
You are my best friend. You can feel good about the way you played today. You all deserve credit for the company’s performance this quarter.
The Third-Person Point of View
We will use the third person to refer to someone or something that is either not us or not an audience we’re addressing:
After leaving late from the meeting, she had to run to catch the bus. They should be careful when walking around that puddle. It wouldn’t start because the battery was dead.
The following general guidelines might be helpful in making choices
First-person points of view tend to be more descriptive and individual.
The second person is usually recognized as more intimate, immediate, and persuasive.
Third-person perspectives create more distance and often feel more rational.
By experimenting with different voices in your writing, you’ll learn to use each effectively as it suits your intentions. An essay may be most powerful in the first person, for example, while a science-fiction short story might explore new possibilities in the third person.
The three main types of third-person point of view
By Richard Nordquist Updated on May 30, 2019
In a work of fiction or nonfiction, the “third-person point of view” relates events using third-person pronouns such as “he,” “she,” and “they.” The three main types of third-person point of view are:
Third-person objective: The facts of a narrative are reported by a seemingly neutral, impersonal observer or recorder. For an example, see “The Rise of Pancho Villa” by John Reed.
Third-person omniscient: An all-knowing narrator not only reports the facts but may also interpret events and relate the thoughts and feelings of any character. The novels “Middlemarch” by George Eliot and “Charlotte’s Web” by E.B. White employ the third-person-omniscient point of view.
Third-person limited: A narrator reports the facts and interprets events from the perspective of a single character. For an example, see Katherine Mansfield’s short story “Miss Brill.”
In addition, a writer may rely on a “multiple” or “variable” third-person point of view, in which the perspective shifts from that of one character to another during the course of a narrative.
