Around 8:00 : - etymology of sine: I personally find it very interesting that the original word in Sanskrit meant bowstring. Nowadays the sine function is often explained by reference to a unit circle. It can equally be explained by reference to a bent bow : the function is the ratio of the distance between the points of attachment of the string and the length of the string [ the latter remains constant ] . This bowstring length is analogous to twice the radius of the unit circle. If history had not made it otherwise we might today be referring to Bowstring instead of Sine, with the chance of a more intuitive picture of a bow instead of the unit circle.
What puzzles me isn't the cochlea presenting the brain with a Fourier analysis but the brains ability to put the frequencies arriving from different sources together enabling us to hear distinct complex sounds. For example individual instruments in an orchestra can be heard even though the frequencies arriving from each will overlap. At the same time those sounds are blended to provide the distinct sound of an orchestra. Is it possible for a mono recording to be separated into tracks each containing one instrument - a demixer as it were? If so I'm guessing that the software is not trivial. We do get some clues. For example holding a conversation with someone around a cooker while frying sausages results in sibilants in the voice being masked by the sizzle. In this case the brain interprets the sibilant as part of the sizzle and we just don't hear it. The effect is like being a bit cloth eared s becomes f and so on.
Radians, the missing piece from the lecture... She defines radian as distance along the circle without mentioning how many radians comprise a full circle...a question 12 year old asked.
Yeah, it's not like it has any practical applications other than nearly every modern form of engineering, physics, graphic design, game development, music production, astronomy...
Around 8:00 : - etymology of sine: I personally find it very interesting that the original word in Sanskrit meant bowstring. Nowadays the sine function is often explained by reference to a unit circle. It can equally be explained by reference to a bent bow : the function is the ratio of the distance between the points of attachment of the string and the length of the string [ the latter remains constant ] . This bowstring length is analogous to twice the radius of the unit circle.
If history had not made it otherwise we might today be referring to Bowstring instead of Sine, with the chance of a more intuitive picture of a bow instead of the unit circle.
chrion last also has a ton of information on the sin sine wave.
Fascinating!
Arabic translated into Latin. Is interesting.
As inspired by this brilliant video. Thanks
Finally a math lecture
Mathematics finalizing queries. But is math so straight and true to rely on these days.
@@michaelbasher what
Great video. Always wonderful to get new bored of things!
But ... Tau. Tau.
Excellent
"Those who fear life, worship imaginary Gods of others; those who love life, imagine."
Imagination is the Way. Revelations by Elias Leousis, Amazon
What puzzles me isn't the cochlea presenting the brain with a Fourier analysis but the brains ability to put the frequencies arriving from different sources together enabling us to hear distinct complex sounds.
For example individual instruments in an orchestra can be heard even though the frequencies arriving from each will overlap. At the same time those sounds are blended to provide the distinct sound of an orchestra.
Is it possible for a mono recording to be separated into tracks each containing one instrument - a demixer as it were? If so I'm guessing that the software is not trivial.
We do get some clues. For example holding a conversation with someone around a cooker while frying sausages results in sibilants in the voice being masked by the sizzle. In this case the brain interprets the sibilant as part of the sizzle and we just don't hear it. The effect is like being a bit cloth eared s becomes f and so on.
These are like witches and wizards, these teachers on this channel.
John Keay in his book the Great Arc says that the Trignometrical Survey was never completed
another reason 360 degrees is useful is because it allows you to divide by 3,6,9 and 12 without getting annoying recurring decimals like 33.33333333
Radians, the missing piece from the lecture...
She defines radian as distance along the circle without mentioning how many radians comprise a full circle...a question 12 year old asked.
same raeson 432hz is better than 440hz. well maby not same divisers but dosent make annoying .33333333333333infinity44444444 numbers.
The creation is sinusoidal.
Cyclical periodic motion governs the micro and macrocosm.
Above my pay grade
And people get paid to teach this. Darn I wish I didn't have scruples.
Yeah, it's not like it has any practical applications other than nearly every modern form of engineering, physics, graphic design, game development, music production, astronomy...
@@Cryptic0013 You come out hostile ? Are you going to be okay?
@@Cryptic0013 Ha ha, name 6 ?