[johnnyb_61820]

The world continues to be a strange and wonderful place, with new discoveries just waiting to be made.

[NonValueAdded]

Unpossoble! This was settled science.

[Quilla]

I knew it was insanity trying to solve math equations incorporating the infinity symbol. :)

[dangus]

Crap! Smart ass just made a PANTSLOAD of more work for calc students.

[faithhopecharity]

then I want a tax refund!

[NobleFree]

http://online.watsci.org/abstract_pdf/2019v26/v26n3a-pdf/4.pdf:

[...] since dx/dy is the first derivative of x with respect to y, it is easy to see that these values are merely the inverse of each other. The inverse function theorem of calculus states that dx/dy = 1/(dy/dx) . The generalization of this theorem into the multivariable domain essentially provides for fraction-like behavior within the first derivative. Likewise, in preparation for integration, both sides of the equation can be multiplied by dx. Even in multivariate equations, differentials can essentially be multiplied and divided freely, as long as the manipulations are dealing with the first derivative. Even the chain rule goes along with this. Let x depend on parameter u. If one has the derivative dy/du and multiplies it by the derivative du/dx then the result will be dy/dx . This is identical to the chain rule in Lagrangian notation. It is well recognized that problems occur when if one tries to extend this technique to the second derivative [...]

[thesharkboy]

I just scanned the paper, and of course, there is no "longstanding flaw" in elementary calculus. The authors come up with a notation for second (and higher) derivatives that allows elementary calculus formulas to be manipulated in a straightforward way. I'm not saying it's not interesting, and maybe even useful, but they haven't found a "flaw" in calculus. This new notation may even find its way into high school and college calculus courses.

[raybbr]

Yeah because math is always logical.

[grey_whiskers]

42.

[Hot Tabasco]

The flaw they discovered is one of notation.

I tried to explain that to my calculus teacher but he didn't believe me. So he flunked me.........

[dgbrown]

Between this and the college bribery scandal I’ll be able to excuse my piss poor educational performance.

I’m sure this was the part of calculus that just didn’t make sense to me therefor rendering the rest of calculus nonsensical. Never made it to Deferential Equations. You can’t learn 300 pages of calculus in a night, well at least I couldn’t, kept trying though.

[spokeshave]

As long as the don’t fiddle around with the Einstein notation.

[Trot]

RATS!!

And all this time, (since 1963), I thought I just couldn't understand calculus.

I think it was the professor's fault! He was teaching me a flawed calculus!

No wonder I couldn't get it.