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  1. How to prove Euler's formula: $e^{it}=\\cos t +i\\sin t$?

    Aug 28, 2010 · Euler's formula is quite a fundamental result, and we never know where it could have been used. I don't expect one to know the proof of every dependent theorem of a given result.

  2. Extrinsic and intrinsic Euler angles to rotation matrix and back

    Extrinsic and intrinsic Euler angles to rotation matrix and back Ask Question Asked 10 years, 8 months ago Modified 9 years, 7 months ago

  3. How to convert Euler angles to Quaternions and get the same Euler ...

    Oct 29, 2018 · 19 I am rotating n 3D shape using Euler angles in the order of XYZ meaning that the object is first rotated along the X axis, then Y and then Z. I want to convert the Euler angle to …

  4. A sequence based on Euler's totient function that always converges to ...

    Nov 8, 2025 · A sequence based on Euler's totient function that always converges to prime numbers Ask Question Asked 2 months ago Modified 2 months ago

  5. Where to find English translations of Euler's collected works?

    Jun 15, 2020 · I will highly appreciate if someone can provide me the link to the book or link to the paper where I can find the following papers $(90-94)$ with English translation. Any help would be appreciated.

  6. $\\sin(x)$ infinite product formula: how did Euler prove it?

    I know that sin(x) sin (x) can be expressed as an infinite product, and I've seen proofs of it (e.g. Infinite product of sine function). I found How was Euler able to create an infinite product for sinc by using its …

  7. The "Euler Product formula" for general multiplicative functions

    Jul 13, 2024 · The "Euler Product formula" for general multiplicative functions Ask Question Asked 1 year, 6 months ago Modified 1 year, 6 months ago

  8. general topology - Mismatching Euler characteristic of the Torus ...

    Jun 10, 2024 · You should use Euler formula on a triangulation if you want to compute the euler characteristic. One easy triangulation of the torus can be obtained as following: Obtained by …

  9. How to find Euler's angles? - Mathematics Stack Exchange

    I have read about Euler's angles and matrices, including zxz, zyz z x z, z y z, etc . I am not obliged to use a specific rotation but rather I want to figure out what angles I need to use for alpha,theta, …

  10. Can we take negative step size in Euler's method?

    Dec 3, 2014 · First, you can use the explicit Euler "forward" method, which you probably have in mind, to march "backward" in time from the initial point. It amounts to solving a revised problem with the time …