the.com/sine
the heartbeat of the universe, drawn endlessly between minus one and one
means In trigonometry, the ratio of the side opposite an angle to the hypotenuse in a right triangle — and more broadly, the smooth oscillating function that rises and falls between -1 and 1.
from A wonderful chain of mistranslation. The Sanskrit word was jya-ardha, 'half-bowstring,' picturing the chord of a circle like a drawn bow; this got shortened to jya, which Arabic scholars borrowed as jiba. But Arabic script often drops short vowels, so jiba was written the same as jaib, meaning 'bay,' 'bosom,' or 'fold of a garment.' When 12th-century Latin translators rendered it, they reached for the Latin word for that pocket or fold — sinus. So the heartbeat of the universe is named, by accident, for the curve of a cloak.
- origin
- name born from a mistranslated Arabic word for cove
- sound
- every pure tone is a sine wave
- self-derivative
- differentiate four times, you're back home
- infinite reach
- its Taylor series adds forever, never quits
- circle's shadow
- it's just a spinning point, viewed sideways
sine wave — fundamental waveform in physics and engineering, described mathematically as y = sin(x)
maxillary sinus — largest paranasal sinus in human skull, located in cheekbone above teeth
cardiac sine rhythm — normal heart rhythm pattern showing organized electrical activity on ecg