28 июн. 2011 г. · The passage from 2excos(x) to 2e(1+i)x could be considered as "complexifying". – Robert Israel. Commented Jun 29, 2011 at 5:32.

5 мар. 2018 г. · Note that you want either the real part or the imaginary part of this complex differential equation to be a solution to your original ...

26 мая 2021 г. · No: Re(e−3ix)=cos(−3)x=cos3x. The only way to complexify this one is to write 1cos3x=23(eix+e−ix)3. and that's going to be ugly.

5 авг. 2023 г. · Complexification: Ay″+By′+Cy+D=cost+sin(2t)+i(sint+cos(2t))=eit+ie−i2t. Now as the ode is linear.

7 окт. 2017 г. · The idea is to complexify the space of real differential forms. About the topology of the bilinear forms, since this is a vector space of finite dimension, any ...

17 янв. 2019 г. · When do polynomial equations come from complexification? ... Where does the factor of 12 come from in the complex differential operators?

20 сент. 2022 г. · The definition of complexification for a Lie group G is a complex Lie group GC with a continuous homomorphism ϕ:G→GC with the universal property ...

15 февр. 2021 г. · The question boils down to this: you have T:V→V a linear endomorphism of the real vector space V. When complexifying, you get another linear ...

27 окт. 2020 г. · There should be no problem with complex derivatives as the independent x is a real variable. The complex operations are just vector operations ...

30 мая 2015 г. · Let's complexify the non-homogeneous DE: z″−2z′+2z=eit. Using exponential response formula (ERF):. P(i)=i2−2i+2=1−2i. The complex particular ...