Chess is a relatively simple game to learn but a very difficult one to master. Because the starting positions of the pieces ...

Eeny, meeny, miny, mo, catch a tiger by the toe – so the rhyme goes. But even children know that counting-out rhymes like this are no help at making a truly random choice. Perhaps you remember when ...

Abstract: A verifiable random function (VRF) is a pseudorandom function that enables source verification. By providing a public verification key and accompanying proof with the output, all parties can ...

Abstract: We derive the characteristic function (CF) for two product distributions—first for the product of two Gaussian random variables (RVs), where one has zero mean and unity variance, and the ...

An eGFR below 60 ml/min indicates possible kidney disease. High creatinine levels in the blood can suggest the kidneys are not working well. A urine albumin result higher than 30 mg/gram may be a sign ...

Neurons are cells that transmit electrical signals through the nervous system. Motor neurons control muscle activity and movement by carrying impulses from the brain and spinal cord. Sensory neurons ...

theorem 1.3 $text{If } A = A_1 \cup A_2 \cup \cdots \cup A_m \text{ and } A_i \cap A_j = \emptyset \text { for all } i \neq j \text{ , then }$ Definition 1.1 Outcome ...

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