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Quantum Theory and the Electronic Structure of Atoms

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See attachment, please help me, by showing the work so I can use it as a study guide. The questions are regarding quantum theory and the electronic structure of atoms.

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https://brainmass.com/chemistry/modern-quantum-theory/quantum-theory-electronic-structure-atoms-523505

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Influence of mathematics on electronics

Please help me plan a powerpoint presentation with comprehensive speaker's notes.

1. Introduction
2. How has mathematics influenced electronics?
3. Mathemathicians who influenced technology: Charles Babbage and Gottfried Leibniz
a. Mathematician time period
b. Their contribution that affected their society and the modern society .
c. Mathematician historical background.
d. Their contributions to technology
4. Specific examples on how mathematical development affect society.

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