After discovering that this Dwarf master could handcraft machinery to such a degree, Jia Xiu came up with a bold idea.
The computational machine designs that had never been realized on Earth, remaining only on blueprints or even at the conceptual level, could absolutely be built in this world. They could be larger in scale, handle more forms of calculation, and offer greater accuracy.
Babbage had been born in the wrong world. If he had been born a Dwarf, he might have assembled the Difference Engine himself. Even the Analytical Engine would not have been beyond hope.
There really were "handmade immortals" in this world. They could shape components by hand with a precision that humanity had only achieved after completing two Industrial Revolutions.
Jia Xiu completely understood why human craftsmen here had no ability whatsoever to compete with Dwarf craftsmen.
With a racial talent like that, it would be strange if anyone could compete with them.
That said, what was humanity's racial talent? He could not seem to find anything particularly special.
Could it be breeding quickly and breeding abundantly, then rolling the genetic lottery until a super genius appeared?
Come to think of it, that was a viable approach too.
As he thought, Jia Xiu wrote out material on Taylor Series Expansion for Master Dain.
Through a Taylor Polynomial, a continuous differentiable function could be transformed into a form that could be calculated directly.
More precisely, it could be transformed into a form whose calculations could be performed by mechanical structures.
With the structures Master Dain designed, all kinds of calculations could be transformed in different ways into addition and subtraction. That method should be enough to calculate most types of polynomials.
Of course, Taylor Series Expansion only sought approximate values, so an unavoidable deviation from the standard