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Author: Tinku Tara

Prove-or-disprove-that-as-time-goes-by-the-influence-of-the-past-on-the-present-diminishes-I-met-this-idea-in-an-informal-analysis-of-the-origins-of-equilibrium-probabilities-found-for-the-tra

Question Number 4621 by Yozzii last updated on 14/Feb/16 $${Prove}\:{or}\:{disprove}\:{that}\:,\:{as}\:{time}\:{goes}\:{by}, \\ $$$${the}\:{influence}\:{of}\:{the}\:{past}\:{on}\:{the}\: \\ $$$${present}\:{diminishes}.\: \\ $$$$\left({I}\:{met}\:{this}\:{idea}\:{in}\:{an}\:{informal}\right. \\ $$$${analysis}\:{of}\:{the}\:{origins}\:{of}\:{equilibrium}\: \\ $$$${probabilities}\:{found}\:{for}\:{the}\:{transition} \\ $$$$\left.{matrix}\:{of}\:{a}\:{Markov}\:{chain}\:{scenario}.\right) \\ $$ Commented…

Question-4612

Question Number 4612 by Rasheed Soomro last updated on 14/Feb/16 Commented by Rasheed Soomro last updated on 14/Feb/16 $$\:{A}\:\:{triangle}\:{divides}\:\:{its} \\ $$$${circum}-{circle}\:{in}\:{three}\:{arcs} \\ $$$${say}\:\:\boldsymbol{\mathrm{c}}_{\mathrm{1}} ,\boldsymbol{\mathrm{c}}_{\mathrm{2}} ,\boldsymbol{\mathrm{c}}_{\mathrm{3}}…

Consider-the-functions-f-x-5-4-x-and-g-x-0-25-2x-4-For-what-values-of-x-do-these-functions-assume-equal-values-

Question Number 70147 by Maclaurin Stickker last updated on 01/Oct/19 $${Consider}\:{the}\:{functions}\: \\ $$$${f}\left({x}\right)=\mathrm{5}×\mathrm{4}^{−{x}} \:{and}\:{g}\left({x}\right)=\left(\mathrm{0}.\mathrm{25}\right)^{\mathrm{2}{x}} +\mathrm{4} \\ $$$${For}\:{what}\:{values}\:{of}\:{x}\:{do}\:{these}\: \\ $$$${functions}\:{assume}\:{equal}\:{values}? \\ $$ Commented by kaivan.ahmadi last…

prove-that-arg-z1z2-arg-z1-arg-z2-arg-z1-z2-arg-z1-arg-z2-

Question Number 70145 by Scientist0000001 last updated on 01/Oct/19 $${prove}\:{that}\:;\:{arg}\left(\boldsymbol{{z}}\mathrm{1}\boldsymbol{{z}}\mathrm{2}\right)={arg}\left({z}\mathrm{1}\right)+{arg}\left({z}\mathrm{2}\right). \\ $$$${arg}\left({z}\mathrm{1}/{z}\mathrm{2}\right)={arg}\left({z}\mathrm{1}\right)−{arg}\left({z}\mathrm{2}\right). \\ $$ Answered by MJS last updated on 01/Oct/19 $${z}_{\mathrm{1}} ={r}_{\mathrm{1}} \mathrm{e}^{\mathrm{i}\theta_{\mathrm{1}} }…