Jeffrey Gold

number theory modular arithmetic media advisories pr feature writing social media crisis communication visual storytelling marketing narrative marketing public relations press releases advertising modulus residue classes remodulization theorem congruences copy writing technical illustration technical writing audio screenwriting video production film production dramatic writing electroluminescence led residues chinese remainder theorem photography resume website usability print design architectural design website design design considerations usability information ergonomics graphic design export of art education gnp arts art export the arts in education art eli khamarov bretton-woods the economics of art art education the arts hamiltonian operator schrdingers equation explaining quantum mechanics quantum mechanics wave number energy operator frequency quantum free particle qm waves complex vector space particles momentum operator squarewell potential hilbert space operator theory pedagogy standing wave physics dark spots recrystallization electromigrationinduced diffusion device degradation oled electron injection quantum efficiency oxygen migration chain scission microshort light emitting polymers carbonyl group structural changes reactive metal contacts device lifetime lep singlet oxygen photooxidation localized gap states polyphenylene acetylene fermi level localized states tunneling electron barrier electroluminescent output conjugated polymers substrate diode ito aluminum electrode ppa electroluminescent polymers euler phi function remodulization eulers phi function complementary sets relative primality relative prime twin prime conjecture primes sets of twin primes prime pairs twin prime pairs twin primes twins permutation exponents cross products galois theory scalar product inner product trace vector math vector multiplication vectors math pedagogy dot product vector products vector algebra permutations epsilonijk method vector space introductio arithmeticae suntsu congruence sets intersection moduli nicomachus of gerasa suntzu congruence systems linear congruences public key cryptography linear congruence publickey cryptosystems euler totient congruence cv jeffrey frederick gold jeffrey f gold jeffrey gold curriculum vitae technical illustrations convergence mp3 story structure 3 act 3 acts story structure