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Online Mathematics tutoring Ballarat

Locality: Ballarat, Victoria

Phone: +61 408 528 447



Address: Oakbank Drv 3350 Ballarat, VIC, Australia

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22.01.2022 Coronavirus is spreading exponentially, which means that the rate is the highest. Please take it seriously. There used to be a mathematical theory of 6 handshakes in 1920s. So called SIX DEGREES OF SEPARATION, the idea that all people are six, or fewer, social connections away from each other. I suppose, today, as the population is bigger (appproximately10 billion), the number of handshakes is around 11. In other words you are only 11 handshakes away from an infected Itali...an or Iranian. This theory is real. our world is small, which was proved experimentally. The small-world experiment comprised several experiments conducted by Stanley Milgram and other researchers examining the average path length for social networks of people in the United States. Milgram's study results showed that people in the United States seemed to be connected by approximately three friendship links, on average, without speculating on global linkages; he never actually used the phrase "six degrees of separation". See more



18.01.2022 For more than a thousand years, one of the world's major population centers used these symbols for addition: someone walking toward you (and so was to be "added" to you), and someone walking away from you (for subtraction). These Egyptian symbols could easily have spread to become universally accepted, just as other Middle Eastern symbols had done. Phoenician symbols, for example, were the source of the Hebrew and - aleph and beth and also the Greek and alpha and betaas in our word alphabet. Excerpt from E=mc2 David Bodanis

16.01.2022 You might have heard the expression that to a topologist, a donut and a coffee cup appear the same. In many branches of mathematics, it is important to define when two basic objects are equivalent. In graph theory (and group theory), this equivalence relation is called an isomorphism. In topology, the most basic equivalence is a homeomorphism, which allows spaces that appear quite different in most other subjects to be declared equivalent in topology. The surfaces of a donut and a coffee cup (with one handle) are considered equivalent because both have a single hole. https://www.facebook.com/photo.php?fbid=3198513493600471&set=gm.2555864738058908&type=3&theater

15.01.2022 When I was at Los Alamos I found out that Hans Bethe was absolutely topnotch at calculating. For example, one time we were putting some numbers into a formula, and got to 48 squared. I reach for the Marchant calculator, and he says, That’s 2300. I begin to push the buttons, and he says, If you want it exactly, it’s 2304. The machine says 2304. Gee! That’s pretty remarkable! I say. Don’t you know how to square numbers near 50? he says. You square 50that’s 2500and s...ubtract 100 times the difference of your number from 50 (in this case it’s 2), so you have 2300. If you want the correction, square the difference and add it on. That makes 2304. Excerpt from Surely You’re Joking, Mr. Feynman: Adventures of a Curious Character Richard Phillips Feynman



08.01.2022 So we call pi an irrational number. You can’t represent the exact value of pi as a fraction made up of two whole numbers, such as 2/3 or 18/11. But the earliest mathematicians, who had no clue about the existence of irrational numbers, didn’t get much beyond representing pi as 25/8 (the Babylonians, about 2000 B.C.) or 256/81 (the Egyptians, about 1650 B.C.). Then, in about 250 B.C., the Greek mathematician Archimedesby engaging in a laborious geometric exercisecame up w...ith not one fraction but two, 223/71 and 22/7. Archimedes realized that the exact value of pi, a value he himself did not claim to have found, had to lie somewhere in between. Given the progress of the day, a rather poor estimate of pi also appears in the Bible, in a passage describing the furnishings of King Solomon’s temple: a molten sea, ten cubits from the one brim to the other: it was round all aboutand a line of thirty cubits did compass it round about (1 Kings 7:23). That is, the diameter was 10 units, and the circumference 30, which can only be true if pi were equal 3 Excerpt from Death By Black Hole: And Other Cosmic Quandaries Neil deGrasse Tyson

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