wrobel's latest activity
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wrobel replied to the thread Undergrad Why ##a^0=1##?.$$a^x:=\exp(x\ln a),\quad \exp(x):=1+\sum_{k=1}^\infty\frac{x^k}{k!},\quad a>0$$ -
wrobel replied to the thread Graduate A neat fact regarding Cauchy problems for infinite systems.Uniqueness does not hold under these conditions, even in the finite-dimensional case. -
wrobel posted the thread Just a kinematics problem from a Russian physics olympiad in General Discussion.Perhaps someone would be interested in offering it to their students. There is a disk of radius ##R##. The disk is wound with two... -
wrobel replied to the thread Collection of Lame Jokes.text: normal distribution, abnormal distribution, paranormal distribution, normal distribution inside a boa constrictor -
wrobel replied to the thread Undergrad Curl of velocity vector in rotational motion.The angular velocity of a rigid body is defined by the Euler formula: $$\boldsymbol{v}_A=\boldsymbol... -
wrobel replied to the thread Graduate A neat fact regarding Cauchy problems for infinite systems.I am confident that this theorem is not new. Its proof relies heavily on Zorn's lemma, which is also not surprising -
wrobel posted the thread Graduate A neat fact regarding Cauchy problems for infinite systems in General Math.Hi everyone, I would like to share a result regarding the existence of solutions for systems of ordinary differential equations with an...

