“Two Australian mathematicians have called into question an adage, that if given an infinite amount of time, a monkey pressing keys on a typewriter would eventually write the complete works of William Shakespeare.
“Known as the ‘infinite monkey theorem’, the thoughtexperiment has long been used to explain the principles of probability and randomness. “However, a new peerreviewed study led by Sydneybased researchers Stephen Woodcock and Jay Falletta has found that the time it would take for a typing monkey to replicate Shakespeare's plays, sonnets, and poems would be longer than the lifespan of our universe. “Which means that while mathematically true, the theorem is ‘misleading’, they say.” https://www.bbc.com/news/articles/c748kmvwyv9o Bill sent me the link.
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mathematical principles Fibonacci Sequence and Natural Law Line of Aplomb; Central Axis, opposition about the vertical; Spirals; Arcs and weight transfer; Aerial plane; Spatial plane I have noticed the difference between contemporary dancers and those from the past. As the creator says, "The goal is not a sixpack." My purpose is not to endorse anything: I have no expertise. Inevitably, the piano led me to classical music, and that led to classical ballet videos.
Social Security benefits and Supplemental Security Income (SSI) payments for more than 72.5 million Americans out of 346 million (21%) will increase by 2.5% in 2025. This is the annual costofliving adjustment (COLA).
www.ssa.gov/policy/docs/quickfacts/stat_snapshot/
For the future, it is important that the USA has a steady workforce. Otherwise, social security will fail. Our Father Evaristus E., FSSP, is over 65 and still at it. He says Mass and hears confessions multiple times a day for us working folk. He is named after St. Evaristus, 5th pope (papa), born in Bethlehem, died in Rome. It is probable that St. John died during his reign, ending the Apostolic Age. This woman has my respect. She worked 400 hours. Fishing line? You don't understand. 400/24 ≈ 16.66, or 16 days and 16 hours with no rest, but, of course, the work was stretched out over many days. Did she have help? I don't know. The hands look the same from frame to frame. My mom was selftaught, but I wouldn't watch the movie even if the story were rewritten. It is soft mush to the core.
One geometric arrangement popular in Catholic art is called the quincunx, an arrangement of five equivalent shapes that have four arranged symmetrically around the fifth which is centrally placed. The five dots on dice are in a quincunx shape.
Quincunx is the geometrical equivalent of the traditional image of Christ in Majesty. Around the central image of the enthroned Christ are four figures representing the four evangelists carrying the Word to the four corners of the world. Cunx, from uncia, means 1/12. Decussate (Latin origin) as an adjective means shaped like an X. He is the creator of watch Anim v Math. I found out today that Becker's video is a YT sensation. A young Oxford University mathematician called it a masterpiece of math, art, and animation. However, he did not see what I saw. He described the white disk as a gamma function, not as communion.
In December 2023, Becker's YT channel had 27.5 million subscribers and about 6 billion video views. I wonder how many understood the advanced math at the end, which I generally understood, not how to write it but how to read it, like Latin. I don't know how my little genius found the video. Maybe his father did. My cowriter found a great way to teach math at any level. In 14 beautiful minutes, you go from basic math to advanced calculus. For help, see fundamental theorem.
Does anyone else recognize the bright white disc our little man enters? Then it disappears. Does the disc resemble anything? (Hint: the host dissolves in about 15 minutes. I in you, and you in me. The sum looks like a bishop.)
Why is the square root of a negative number undefined? Any number squared will produce a positive number, so there is no true square root of a negative number. Square roots of negative numbers can only be determined using the imaginary number called an “iota”, or i.
Complex numbers are the numbers that are expressed in the form of a + ib, where a and b are real numbers and i is an imaginary number called “iota”. The value of i = (√1). For example, 2 + 3i is a complex number, where 2 is a real number and 3i is an imaginary number.
DragonFire is a British laser directedenergy weapon (LDEW).
One kilometer is equal to 0.621371 miles (rounded to .62). To convert kilometers to miles, multiply the number of kilometers by 0.621371. One improvement in school math is the introduction of algebra, geometry, and calculus concepts in early grades, usually 6th. I did not have that. One negative is common core. In general, it takes 20 minutes to solve a problem and five minutes the old way.
Most Americans understand nothing about a capitalist economy: supply and demand, micro, macro, statistics, inflation, government borrowing and debt, and low taxes and growth. Economics needs to be incorporated into math the same way algebra, geometry, and calculus are, early on, with real world examples. Standing alone, economics, not stats, is boring. problem: solution: real world example Owners defaulted. The value of the largest hotels dropped by $1B.
I showed the film, Modern Times, to a high school class, and one boy started laughing hysterically, which made me laugh harder. I had previewed it, but it wasn't until class that I really enjoyed it. Some pictures are a group experience. Siblings and friends, and I estimate 100 boys from the neighborhood, school, and sports, were physical with one another, and the only weapons we had were appendages. Loss of spontaneity is what accounts for so much isolation today.
This math problem generates his most exciting answer! Andy understands complementary angles and knows he can't eat in the gray areas because of two new pivot points. This is a hard SAT problem conceptually and for the time it takes to solve. On average, one minute is allowed for each SAT question. I met some goats, and one leaned against me. I didn't like that. I'm a city lad.
practical application
Let's say you have an aboveground water tank inside a rhombusshaped fence and touching the fence at four tangent points. The tank is so big that you can't measure it, but you can walk the fence and measure it. Using Andy's formula, you can measure the size of the tank just by doing one more step. Use the formula for volume: multiple his answer by the height of the tank. You can eyeball that the way you measure tree height. I asked myself that question. Here is an excerpted answer:
A light beam is light which propagates essentially in one direction (directional light) and at the same time has a limited spatial extension in directions perpendicular to its beam direction. Often, it has a roughly circular crosssection but no precise spatial limitation. A light beam with circular crosssection may be characterized with a beam radius which generally changes during propagation. Over long enough distances, it must increase due to diffraction, since light is a wave phenomenon (→ wave optics). However, the beam radius may initially decrease before reaching a beam focus (or beam waist) where it has its minimum value. The increase in beam radius in the far field is associated with the beam divergence. A light beam can actually have two different focus positions e.g. for x and y direction; this is called astigmatism. https://www.rpphotonics.com/light_beams.html#:~:text=A%20light%20beam%20is%20light,but%20no%20precise%20spatial%20limitation. In the Basics of Space Flight, most abbreviations for units of measure are not spelled out the first time they are used, unlike the way other abbreviations are. See observable universe, a demonstration that uses the abbreviations, k and m:
https://science.nasa.gov/learn/basicsofspaceflight/units/ Destination: edge
Launch location: France Premise: take Earth there Time: Greenwich Mean Time Requirements: Greek and Latin Mission: go where no man has gone Naming heavenly bodies: license granted Optional: Hawaiian Laniakea immense heaven reaction: beautiful Homeschooling has the advantage. Here are the areas of math that interested me: numbers; basic math like word problems; algebra; and applied geometry. I would have been interested in some calculus if it were astronomy. An example would be trajectories, but that was not offered.
He pursues his interests.
During summer, students tend to forget math and English lessons from the school year that just ended. A list of novels for summer is great, but math teachers are remiss for not assigning math problems. As an example, I would assign one Algebra I problem in the following areas for each week of summer:
(7) Realworld examples: a) how many cans can be picked up given the size of the can and the capacity of the garbage truck? b) how many stiches are needed for a patient whose appendix has been removed? (Show work using variables.) Adobe stock image
What is a mode in music? It doesn't contain any notes but refers to how the intervals between the notes of a scale are arranged, a particular set of whole steps & half steps (white/black keys of a piano).
I need constant math reminders: Earth’s Population in Perspective
The population of Earth is around eight billion, an interesting figure. However, if you condense eight billion to 100 persons and then into various statistics, the resulting analysis is easier to comprehend. Out of 100: 11 are in Europe 5 are in North America 9 are in South America 15 are in Africa 60 are in Asia & Australia (Oceania) 49 live in the countryside 51 live in cities 75 have mobile phones 25 do not 30 have internet access 70 do not 83 can read 17 are illiterate 33 are Christians 22 are Muslims 14 are Hindus 7 are Buddhists 12 are other religions 12 have no religious beliefs 26 live less than 15 years 66 die between 15 and 64 8 are 65 and over If you own your home, eat full meals and drink clean water, have a mobile phone, can surf the internet, and have gone to college, you are in a privileged lot, less than seven percent. Archaeologists have demonstrated that humankind began in Africa. Here in the Americas, we are all immigrants, including socalled indigenous, and migration is an ongoing process everywhere. Genesis gives us the story of God’s intentions. 
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