>>11104144>>11104226shut the fuck up. as a pure mathematician, i know that you need to shut the fuck up. asymptotic analysis is a beautiful and well studied field and all of this is easily formalized with even the least bit of undergraduate level study of basic asymptotic theory. no one gives a FUCKING SHIT ABOUT THE FUCKING HIGHER ORDER TERMS OF A SYSTEM WHEN THE LEADING ORDER TERMS DOMINATE SO TREMENDOUSLY AS IN A SIMPLE PENDULUM, A SYSTEM IN WHICH WE ALREADY MAKE DOZENS UPON DOZENS OF SIMPLIFICATIONS TO ARRIVE AT THE ODE THETA DOUBLE DOT EQUALS SIN THETA. GO FUCK YOUSELF YOU FUCKING PIECE OF SHIT!!!! GO BACK YOU YOUR DISGUSTING LITTLE ALGEBRAIST GARBAGE BIN!!!!!