in our quest to unravel the enigma, we stumbled upon a concealed truth, veiled beneath layers of complex equations, like a cryptic message waiting to be deciphered. our investigation revealed that the commandments of mathematics often underplay the significance of pre-existing knowledge, nudging us to renew our understanding from the outset. this discovery wasn't just a solution; it was a revelation, showing us that even in a realm governed by precision, there are mysteries concealed, begging to be uncovered through a detective's keen eye.