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 Jun 12 comment Solid angle definition - can it be seen shown using an image? Could you please draw the picture ... i am a bit confused only listening to an explaination :) Jun 12 asked Solid angle definition - can it be seen shown using an image? Jun 7 asked Is it possible for an operator to have only one eigenvalue in this case? - in need of a proof Jun 6 accepted When does exponential function $e^x$ equal $1$? Jun 6 comment When does exponential function $e^x$ equal $1$? As i ve thought an Euler identity :) Jun 6 asked When does exponential function $e^x$ equal $1$? May 26 comment Inner product vs scalar rpoduct Well thats how they taught us in schools. May 26 comment Inner product vs scalar rpoduct Thanks on the note! May 26 revised Inner product vs scalar rpoduct added 22 characters in body May 26 asked Inner product vs scalar rpoduct May 20 comment inner product (real or imaginary?) I forgot to mention i need info for $\mathbb{C}$. May 20 asked inner product (real or imaginary?) May 18 accepted Complex 3-D Euclidean space - inner product May 18 accepted Inner product justification with an example May 18 comment Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? I found this later: en.wikipedia.org/wiki/Column_vector It explains well what you have been stating here all along May 13 comment Inner product justification with an example I forgot to say that inner product $v\cdot \overline{d}$ isn't demanded to be $\mathbb{C}$, so there isn't any problem here anymore. Is my thinking mathematically correct? May 13 comment Inner product justification with an example I am trying to think that an inner product can only be aplied to vectors so first i need a complex vector. And i try to think of a complex vector as a column matrix with complex numbers (at least one has to be ) like this one: $$\vec{v} = \begin{pmatrix}1+3i\\2-i\\ 3\end{pmatrix}$$ and here complex numbers are $v_1=1+3i,\, v_2=2-i,\,v_3 = 3$. So now i can use theese to calculate inner product $v\cdot \overline{v} = v_1\overline{v_1}+v_2\overline{v_2}+v_3\overline{v_3}$ which is always real (and this is what we wanted it to be so now i understand why this definition is OK). May 13 accepted Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? May 13 comment Inner product justification with an example I get $u \cdot u = 2i$ if i calculate it like a dot product and i get $u \cdot u = 2$ if i calculate it as a inner product. Then for $v$ i got $v\cdot v = 0$ if i calculated it as a dot product and $v\cdot v = 3$ if i calculated it as an inner product. Is this good justification for using definition for inner product as it is? May 13 comment Inner product justification with an example Thank you. Is there any good case for 3-D vectors describing this? I need 2 different 3-D vectors and a proof of this on them.