೧ ಯಾವುದಿದ್ಯಾವುದು ಯಾವ ಶಕ್ತಿ ಇದಾವುದು? ಇದ್ದರೇಕಿಂದಿಷ್ಟು ಕುರುಡಾಗಿರುವುದು? ಇರದಿದ್ದರೇಕಿದಿಷ್ಟು ಬೇಕೆನಿಸುತಿಹುದು? ಇದೇಕಿದಿಷ್ಟು ಮೂಖಾಗಿಹುದು? ಇರಳೀಕೆ-ಇರನಿವನು-ಇರದಿಹುದು ಎನ್ನಲೇನಿಹುದು? ೨ ಸೆರಗ ಕೈ ಚೆಲ್ಲಿ ಕೃಷ್ಣಾ ಎಂದ ಮಾತ್ರವೇ ಕೃಪೆಯೇ? ಭಕ್ತಿ ಕ್ಷೀರ ಸಾಗರದಿ ಮಿಂದ ಮಾತ್ರವೇ ಮಡಿಯೇ? ಬೇಡದೆ ಕೈ ಕಡಿವ ಕಾಳಿಯಾಗಬೇಕೆಂಬುದು ಅಪನಂಬಿಕೆಯೇ? ಇದ್ದರೇನಿರಲಿಲ್ಲದಿದ್ದರೇನೆಂಬ ಬದುಕು ನಾಸ್ತಿಕತೆಯೇ? ಇರುವಳೀಕೆ-ಇರುವನಿವನು-ಇದ್ದೀತಿದು ಎನ್ನಲೇನಾದರಿದಿಯೇ? ~ ಮಂಜುನಾಥ ಎಂ ಆರ್ English explanation (Not translated version of the poem): 1 What is this? Which power is it? Why is it so blind? If it exists Why does it feel like a needed thing? If it does not exist Why is it so silent? What proof is there? To say he doesn't exist - she doesn't exist - it doesn't exist. 2 Is it necessary to shout for Krishna and drop hands on the saree to get grace? ( Context: Draupadi vastraharana ) Is deep diving into the milky ocean of devotion necessary for a pious life? Is it disbelief if she became Kali and cut the hands of the adversary? ( Imagine if Draupadi thought abou...
Question 1: I want to build a Taylor series expansion of \(f(z) = \sqrt{\, (\pi + e z) + i(\pi - e z) \,} \) around \(z_0=1 + i\). Is that even possible? And if it is, how far does it go? (What would the radius of convergence be ?) Are you really asking me to find the \(n^{th}\) derivative value at \(1 + i\)? Oh, my Cauchy! Is there something easy and fundamental at play? One who wants to send a solution can write it to me through email at manjuoffi@gmail.com
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