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== Systems of Distinct Representatives (SDR)== {{Theorem|Hall's Theorem (graph theory form)| ...

In probability theory class we have learned the basic concepts of '''events''' and '''random vari ...f events and random variables are related to the foundation of probability theory, which is not the topic of this class. Here we only give an informal descri ...

== Systems of Distinct Representatives (SDR)== {{Theorem|Hall's Theorem (graph theory form)| ...

== Systems of Distinct Representatives (SDR)== {{Theorem|Hall's Theorem (graph theory form)| ...

== Systems of Distinct Representatives (SDR)== {{Theorem|Hall's Theorem (graph theory form)| ...

== Systems of Distinct Representatives (SDR)== {{Theorem|Hall's Theorem (graph theory form)| ...

== Systems of Distinct Representatives (SDR)== {{Theorem|Hall's Theorem (graph theory form)| ...

Note that (*) and (**) are both linear systems with unique solution, thus <math>\tau_{u,v}=\phi_{u,v}</math>. Since electrical networks are linear systems, we can super-pose <math>A</math> and <math>C</math> (summing up the voltag ...

Note that (*) and (**) are both linear systems with unique solution, thus <math>\tau_{u,v}=\phi_{u,v}</math>. Since electrical networks are linear systems, we can super-pose <math>A</math> and <math>C</math> (summing up the voltag ...

Note that (*) and (**) are both linear systems with unique solution, thus <math>\tau_{u,v}=\phi_{u,v}</math>. Since electrical networks are linear systems, we can super-pose <math>A</math> and <math>C</math> (summing up the voltag ...

...non-linear approach, the orbital approaches at a slightly off angle. The π-systems ability to rotate as the small molecule approaches is crucial in forming ne ...curs through a non-linear approach (see figure 2 at right). However, while theory clearly favors a non-linear approach, there are no obvious experimental imp ...