"The argument is strongly geometric, which bothers some math teachers. There are spatial relationships and visual inferences to be made. The very word 'geometry' makes some math teachers uncomfortable. Geometry."
November 2, 2025 at 9:26 PM
"The argument is strongly geometric, which bothers some math teachers. There are spatial relationships and visual inferences to be made. The very word 'geometry' makes some math teachers uncomfortable. Geometry."
The conjugate of a sum is the sum of the conjugates and the conjugate of a product is the product of the conjugates. This is completely obvious if you make a picture like this.
October 8, 2025 at 2:08 AM
The conjugate of a sum is the sum of the conjugates and the conjugate of a product is the product of the conjugates. This is completely obvious if you make a picture like this.
Skew decagon. For all you degenerate perverts who don't have the decency to insist that the vertices of your polygon all lie in a plane.
March 2, 2025 at 11:33 PM
Skew decagon. For all you degenerate perverts who don't have the decency to insist that the vertices of your polygon all lie in a plane.
Take f(x) = (2+cosx)/x²
It's "decreasing" in the casual (incorrect) sense that f is roughly getting smaller and approaches 0 as x →∞. In fact, 1/x² ≤ f(x) ≤ 3/x² and the function will bounce up and down inside this "envelope".
So it's not decreasing. Is there a term for this? "Kinda decreasing"?
It's "decreasing" in the casual (incorrect) sense that f is roughly getting smaller and approaches 0 as x →∞. In fact, 1/x² ≤ f(x) ≤ 3/x² and the function will bounce up and down inside this "envelope".
So it's not decreasing. Is there a term for this? "Kinda decreasing"?
November 26, 2024 at 10:56 PM
Take f(x) = (2+cosx)/x²
It's "decreasing" in the casual (incorrect) sense that f is roughly getting smaller and approaches 0 as x →∞. In fact, 1/x² ≤ f(x) ≤ 3/x² and the function will bounce up and down inside this "envelope".
So it's not decreasing. Is there a term for this? "Kinda decreasing"?
It's "decreasing" in the casual (incorrect) sense that f is roughly getting smaller and approaches 0 as x →∞. In fact, 1/x² ≤ f(x) ≤ 3/x² and the function will bounce up and down inside this "envelope".
So it's not decreasing. Is there a term for this? "Kinda decreasing"?
Chain Rule? Never heard of it.
November 22, 2024 at 2:02 AM
Chain Rule? Never heard of it.
Final thoughts. A geometry-based approach.
Certain formulas become famous because they accurately describe the relationship between the x-coordinate and the y-coordinate on certain shapes AS MEASURED FROM THE ORIGIN.
Certain formulas become famous because they accurately describe the relationship between the x-coordinate and the y-coordinate on certain shapes AS MEASURED FROM THE ORIGIN.
October 7, 2023 at 7:55 PM
Final thoughts. A geometry-based approach.
Certain formulas become famous because they accurately describe the relationship between the x-coordinate and the y-coordinate on certain shapes AS MEASURED FROM THE ORIGIN.
Certain formulas become famous because they accurately describe the relationship between the x-coordinate and the y-coordinate on certain shapes AS MEASURED FROM THE ORIGIN.
