Proof that 1 = 2.John Hush2026-09-22 | Proof that 1 = 2.INNUMERACY VIIJohn Hush2024-01-13 | Now Mr. John Hush calculates the same probabilities as in the last video by doing it the more direct but much harder way. It's a lot more interesting and certainly a lot more fun!INNUMERACY VIJohn Hush2024-01-12 | Mr. John Hush calculates a couple probabilities involving a die or two dice rolled four times each that French gambler and mathematician Antoine Gombaud asked fellow mathematician Blaise Pascal in around 1650 AD or CE. There are two ways of evaluating these probabilities; one is easy, one is hard. This video deals with the easy, indirect method. The next video will evaluate it the harder, direct way.NUMERACY II: factoring 2024John Hush2024-01-02 | Mr. John Hush factors the Happy New Year 2024 as is his annual custom but he writes down a small mistake (although he didn't say the mistake). See if you can spot the typo! Good eye if you do.NUMERACY I: Todays date is 123123John Hush2024-01-01 | On this last day of 2023, Mr. John Hush points out that today's date is 123123. How so?Canadian Christmas Light Show. Enjoy!John Hush2023-12-23 | Mr. John and Mrs. Louise Hush took three young Ukrainian siblings to see the Magic of Lights near London, Ontario, Canada. Our church brought them to our city and furnished a townhouse for them about six months ago. They are such a lovely family.INNUMERACY VJohn Hush2023-08-27 | Mr. John Hush estimates how long it would take to truck away Mount Fuji by making reasonable assumptions. This was a standard MIT interview question.INNUMERACY IVJohn Hush2023-08-18 | How many times faster is a passenger plane than a pedestrian? Mr. John Hush does a simple calculation to give you some idea.Cotton Candy is going to the dogs!John Hush2023-08-16 | Mr. John Hush came across this tiny dog getting fed cotton candy on a street in Arequipa, Peru. "Going to the dogs" is an informal idiom meaning to become worse.Synopsis of Arequipa Medical ProjectJohn Hush2023-08-10 | This brief video was created by cataract surgeon John W. as he waited at the airport for his return flight to Canada! Nonetheless, he covers most of the events that took place. Kudos, John!Volunteer Medical Project in ArequipaJohn Hush2023-08-09 | This video was an inspirational, daily occurrence at the beginning of each day at the school where the vision clinic took place. Mr. John Hush helped assess people's distance and near vision. Mrs. Louise Hush was in charge of the operating room at a nearby hospital. Pastor Asdrubal, Project Coordinator Tania and Clinic Supervisor Adriana are in the thumbnail.
There were 3000+ patients (less than 5% required no service), 1570 (mostly used) prescription glasses, 600+ stock reading glasses, almost 700 sunglasses (UV is high there), over 200 eye procedures (mostly cataract surgeries), 550 dental patients receiving 640 treatments, as well as almost 70 pediatric eyecare patients the second week including 9 strabismus procedures.
It was a pleasure to serve the Lord in this way. The Peruvians were so appreciative. To God be the Glory!Center of Mass demo in Arequipa, PeruJohn Hush2023-08-08 | Mr. John Hush came across these two artistic performers on a street corner in Arequipa, Peru. Notice that the man holding up the other is leaning back on an angle. They are stable due to their center of mass.
Mr. John and his wife Louise were in Arequipa for two weeks volunteering in an eye surgery, eyeglasses and dental medical mission recently with the organization Medical Ministry International (MMI). Louise was in charge of the operating room, mostly for cataracts; John was helping determine people's near and far vision prior to further evaluation.INNUMERACY IIIJohn Hush2023-07-19 | Mr. John Hush estimates the number of hairs on his head. It ain't what it used to be! This is another example of a Fermi Question.INNUMERACY IIJohn Hush2023-07-17 | Fermi Questions are questions that require a reasonable estimate of some quantity. For example, the number of bricks in the Empire State Building. Mr. John Hush begins by briefly talking about the number of possible positions in a Rubik's cube. Then he estimates the amount of human blood in the world and at what depth it could bury the city of Toronto, Ontario, Canada.INNUMERACY IJohn Hush2023-07-17 | Mr. John Hush begins a new series based on the 1988 book entitled INNUMERACY by John Allen Paulos, a retired professor of mathematics from Temple University in Philadelphia. In this first episode, he discusses how people are not very good at comprehending big numbers. Try your hand (mind?!) at estimating the requested quantities.Ziplining at Blue MountainJohn Hush2023-07-12 | Mrs. Louise Hush ziplines as part of the Timber Challenge High Ropes at Blue Mountain near Collingwood, Ontario, Canada. Watch out for that stump with your rump!A Cat With Good Table MannersJohn Hush2023-05-06 | Foster cat Blythe returns! She displays polite and proper table manners as she drinks water. Mrs. Louise Hush says "strange behaviour". Mr. John Hush follows with "smart". It reminds me of chapter 7 of the book of Judges in the Old Testament.The Rhythms of Logarithms. Part 12John Hush2023-05-02 | Mr. John Hush simplifies a logarithmic expression that doesn't appear to be simplifyable (if that's even a word!). See if you can do it yourself prior to him showing you how.The Rhythms of Logarithms. Part 11John Hush2023-05-01 | In this last (?) video, Mr. John Hush looks at three applications of logarithms in the real world: 1. acids and bases, 2. sound and 3. earthquakes.Hang On For Dear Life!John Hush2023-04-21 | Our other recent foster cat, Mattie, decides not to let go when picked up. She and Blythe (in a recent video) were rescued from a hoarding situation with six other cats. They are adapted nicely after a difficult first week. Mattie had to be shaved because she had so much matted (hence her new name Mattie) fur due to the filth on her.The Rhythms of Logarithms. Part 10John Hush2023-04-19 | Mr. John Hush now uses an exponential equation to solve for various quantities. He uses a log(arithm) for one part.The Rhythms of Logarithms. Part 9John Hush2023-04-18 | Mr. John Hush solves a logarithmic equation using one of the laws of logarithms, the concept of the logarithmic inverse, factoring and checking for extraneous roots.Protect Your Neck!John Hush2023-04-17 | One of our current two foster cats, Blythe (aka [= also known as] Baby), has discovered my necklace, and can't seem to leave it alone!The Rhythms of Logarithms. Part 8John Hush2023-04-15 | Mr. John Hush now derives expressions for the log(arithm) of a product and for the log(arithm) of a quotient. These are known as the laws of logarithms for a product and a quotient.The Rhythms of Logarithms. Part 7John Hush2023-04-14 | In this video Mr. John Hush proves two very useful and instructive laws of logarithms.It only looks rectangular! Opt. Illn #19John Hush2023-04-10 | Another optical illusion from the Museum of Science in Boston. A trapezoidal shape is being rotated and appears rectangular. I see it rotating. Some people see it oscillating. What do you see? For a complete explanation watch youtube.com/watch?v=dBap_Lp-0ocAmazing Electrostatics Fireworks!John Hush2023-04-09 | This is another show from the Boston Museum of Science. Look at those huge, orange Van de Graf balls, the world's largest! Enjoy the the lightning, the music and the crowd reaction.Even HUGE turtles deserve privacy!John Hush2023-04-07 | At the Aquarium in Boston a huge turtle did his business when I had turned the camera away.The Rhythms of Logarithms. Part 6John Hush2023-04-06 | Mr. John Hush now uses the law of logarithms for a power to solve a couple exponential equations. First he points out that this law is equivalent to the exponential law for raising a power to another exponent.The Rhythms of Logarithms. Part 5John Hush2023-04-05 | Mr. John Hush proves that log x^n = n log x to any base, where x^n is x to the n. Then he proves, using this fact, that y = 2^x and y = log2 x are inverse functions, where the 2 in log2 x indicates that the base of the log is 2. The base of 2 can be replaced with any permissible base, b. Generally, b is greater than zero and not 1).The Rhythms of Logarithms. Part 4John Hush2023-04-03 | Mr. John Hush explores the relationship between y = 2^x (2 to the x) and log2 x (log to the base 2 of x). They turn out to be inverse functions (reflections in the line y = x). This will be proven in Part 5.The Rhythms of Logarithms. Part 3John Hush2023-04-03 | Mr. John Hush now discusses the possible bases for logarithms. Despite negative bases sometimes working, the bases are restricted to positive values excluding base one.The Rhythms of Logarithms. Part 2John Hush2023-04-02 | Mr. John Hush now discusses and determines the values of x that make sense in y = log x . It turns out that x must be greater than 0.The Rhythms of Logarithms. Part 1John Hush2023-03-29 | Mr. John Hush begins a new series about logarithms, or logs for short. In Part 1 he defines a logarithm to base 10 then to any base. Then he does a few examples. The Anagram of the Day is also back!Curves are straight? Opt. Illusion #18John Hush2023-03-22 | Although the shapes are curved, from a distance and at a certain angle they look straight. So there appears to be a triangle at the end of the video.Its not really there! Optical Illusion #17bJohn Hush2023-03-22 | This is another video of the same illusion.A Real Image! Optical Illusion #17aJohn Hush2023-03-22 | The image of the light bulb is made by a concave mirror that's out of sight. The actual light bulb is upside down. It looks like it's really there so we say it's a real image but it isn't really there!In Motion? No! Optical Illusion #16John Hush2023-03-22 | There seems to be motion, especially in the circles, in this still image! From the Museum of Science in Boston. And, no, it's not my camera that was moving around!Same reds & blues! Optical Illusion #15John Hush2023-03-22 | The reds making up the X on the left look different because the apparently lighter red line is next to white squares while the apparently darker red is next to blue squares. Similarly for the two blues making up the X on the right.Moving in and out! Optical Illusion #14John Hush2023-03-22 | Study the orientations of the spirals then see what seems to happen when they rotate. Another example from the Boston Museum of Science.Changing size? No! Optical Illusion #13John Hush2023-03-22 | Mr. John Hush and Mrs. Louise Hush visited the Museum of Science in Boston last week. Here are a few more optical illusions.Inequalities (Its NOT fair!). Part 7John Hush2023-03-09 | Mr. John Hush graphs both the intersection and the union of two functions.Inequalities (Its NOT fair!). Part 6John Hush2023-03-08 | Now Mr. John Hush uses test values to determine the solution to the same inequality.Inequalities (Its NOT fair!). Part 5John Hush2023-03-07 | Now Mr. John Hush solves the same cubic inequality by graphing.Inequalities (Its NOT fair!). Part 4John Hush2023-03-06 | Now Mr. John Hush solves a cubic inequality by considering the four possible cases.Inequalities (Its NOT fair!). Part 3John Hush2023-03-04 | Now Mr. John Hush solves the same inequality as in Part 2 by graphing, getting the same result of course.Inequalities (Its NOT fair!). Part 2John Hush2023-03-03 | Mr. John Hush now solves an rational inequality. Algebraically. there are two cases to consider.Inequalities (Its NOT fair!). Part 1John Hush2023-03-02 | Mr. John Hush begins a new series on solving inequalities. It's harder than solving equations. He solves both a linear and a quadratic inequality.Whats Your (Trig.) Identity? Part 5John Hush2023-02-27 | Mr. John Hush now uses the trick of multiplying one side by the conjugate of its denominator divided by the same quantity (which equals 1 of course and so is fine). He also shows an alternate solution which is also perfectly fine but is not allowed by many math teachers.Whats Your (Trig.) Identity? Part 4John Hush2023-02-27 | Mr. John Hush proves two more-difficult-looking trigonometric identities. It isn't always clear what to do so just try something logical and see what happens.Whats Your (Trig.) Identity? Part 3John Hush2023-02-26 | Mr. John Hush now proves a couple, more complicated identities using two compound angle formulas/identities.