Learning by William

References:

Relativity (Einstein) - Wikipedia

https://en.wikipedia.org/wiki/Theory_of_relativity

Special Relativity - Wikipedia

https://en.wikipedia.org/wiki/Special_relativity

Two Postulates of Special Relativity - Lumen Learning

https://courses.lumenlearning.com/physics/chapter/28-1-einsteins-postulates/

Lorentz Transformation - Virginia Tech

https://www1.phys.vt.edu/~takeuchi/relativity/notes/section08.html

Galilean Transformation - Wikipedia

https://en.wikipedia.org/wiki/Galilean_transformation

Lorentz Factor - Wikipedia

https://en.wikipedia.org/wiki/Lorentz_factor

Time Dilation - Wikipedia

https://en.wikipedia.org/wiki/Time_dilation

Twin Paradox - Wikipedia

https://en.wikipedia.org/wiki/Twin_paradox

Length Contraction - Wikipedia

https://en.wikipedia.org/wiki/Length_contraction

Length Contraction - Wikipedia

https://en.wikipedia.org/wiki/Length_contraction

Relativistic Velocity-Addition - OpenStax

https://openstax.org/books/college-physics/pages/28-4-relativistic-addition-of-velocities

Mass-Energy Equivalence - Wikipedia

https://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalence

Energy-Momentum Relation - Wikipedia

https://en.wikipedia.org/wiki/Energy%E2%80%93momentum_relation

References:

International System of Units - Wikipedia

https://en.wikipedia.org/wiki/International_System_of_Units

Metric System - Wikipedia

https://en.wikipedia.org/wiki/Metric_system

International Bureau on Weights and Measures - Wikipedia

https://en.wikipedia.org/wiki/International_Bureau_of_Weights_and_Measures

Base Unit - Wikipedia

https://en.wikipedia.org/wiki/SI_base_unit

Derived Unit - Wikipedia

https://en.wikipedia.org/wiki/SI_derived_unit

Second - Wikipedia

https://en.wikipedia.org/wiki/Second

Meter - Wikipedia

https://en.wikipedia.org/wiki/Metre

2019 Redefinition of the Base Units - Wikipedia

https://en.wikipedia.org/wiki/2019_redefinition_of_the_SI_base_units

Ampere - Wikipedia

https://en.wikipedia.org/wiki/Ampere

Kelvin - Wikipedia

https://en.wikipedia.org/wiki/Kelvin

Boltzmann Constant - Wikipedia

https://en.wikipedia.org/wiki/Boltzmann_constant

Mole - Wikipedia

https://en.wikipedia.org/wiki/Mole_(unit)

Amount of Substance - Wikipedia

https://en.wikipedia.org/wiki/Amount_of_substance

Avogadro Constant - Wikipedia

https://en.wikipedia.org/wiki/Avogadro_constant

Candela - Wikipedia

https://en.wikipedia.org/wiki/Candela

Luminous Intensity - Wikipedia

https://en.wikipedia.org/wiki/Luminous_intensity

Just as I said in the mask hesitancy episode (episode 5), we mustn’t call those that are hesitant of the vaccines “anti-vaxxers,” for the term is derogatory and in many cases, categorically untrue. Instead of blaming the Republicans, the Democrats, the conservatives, and the liberals, we are going to explore the actual, non-political and political reasons for which Americans, and all humans, are hesitant to get vaccinated against COVID-19. In this episode, the perfervid debate over the vaccine will be simplified into a matter of human psychology, not political disposition.

References:

Vaccine Hesitancy: History - Wikipedia

https://en.wikipedia.org/wiki/Vaccine_hesitancy#History

“Vaccine hesitancy: Definition, scope, and determinants” - ScienceDirect

https://www.sciencedirect.com/science/article/pii/S0264410X15005009?via%3Dihub

“Psychological characteristics associated with COVID-19 vaccine hesitancy and resistance in Ireland and the United Kingdom” (very much applicable to American COVID-19 vaccine hesitancy) - Nature (scientific journal)

https://www.nature.com/articles/s41467-020-20226-9

Study on Trust (or Distrust) in American Public Health Agencies - NPR

https://www.npr.org/2021/05/13/996331692/poll-finds-public-health-has-a-trust-problem

Adverse Events and Vaccine Safety - Centers for Disease Control and Prevention (CDC)

https://www.cdc.gov/coronavirus/2019-ncov/vaccines/safety/adverse-events.html

mRNA Vaccine - Wikipedia

https://en.wikipedia.org/wiki/RNA_vaccine

“Americans Remain Distrustful of Mass Media” - Gallup

https://news.gallup.com/poll/321116/americans-remain-distrustful-mass-media.aspx

Patient Distrust in Pharmaceutical Companies - National Institutes of Health

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7424561/

“C.D.C. Internal Report Calls Delta Variant as Contagious as Chickenpox” - The New York Times

https://www.nytimes.com/2021/07/30/health/covid-cdc-delta-masks.html

R0 of Common Diseases - Vaccines Today

https://www.vaccinestoday.eu/stories/what-is-r0/

References:

Energy - Wikipedia

https://en.wikipedia.org/wiki/Energy

Law of Conservation of Energy - Wikipedia

https://en.wikipedia.org/wiki/Conservation_of_energy

Isolated System - Wikipedia

https://en.wikipedia.org/wiki/Isolated_system

Time Translation Symmetry - Wikipedia

https://en.wikipedia.org/wiki/Time_translation_symmetry

Noether’s Theorem - Wikipedia

https://en.wikipedia.org/wiki/Noether%27s_theorem

Conservative Force - Khan Academy

https://www.khanacademy.org/science/high-school-physics/work-and-energy-2/gravitational-potential-energy-and-conservative-forces/v/conservative-forces

Electronvolt - Wikipedia

https://en.wikipedia.org/wiki/Electronvolt

Potential Energy - Wikipedia

https://en.wikipedia.org/wiki/Potential_energy

Kinetic Energy - Wikipedia

https://en.wikipedia.org/wiki/Kinetic_energy

Mechanical Energy - Wikipedia

https://en.wikipedia.org/wiki/Mechanical_energy

Chemical Energy - Wikipedia

https://en.wikipedia.org/wiki/Chemical_energy

Electrical Energy - Wikipedia

https://en.wikipedia.org/wiki/Electrical_energy

Thermal Energy - Wikipedia

https://en.wikipedia.org/wiki/Thermal_energy

Nuclear Energy - Wikipedia

https://en.wikipedia.org/wiki/Nuclear_power

Radiant Energy - Wikipedia

https://en.wikipedia.org/wiki/Radiant_energy

References:

Newton’s Laws of Motion - Wikipedia

https://en.wikipedia.org/wiki/Newton%27s_laws_of_motion

Inertia - Wikipedia

https://en.wikipedia.org/wiki/Inertia

Galileo’s Law of Inertia (First Law of Motion) - Britannica

https://www.britannica.com/science/law-of-inertia

Inertial Frame of Reference - Wikipedia

https://en.wikipedia.org/wiki/Inertial_frame_of_reference

Momentum - Wikipedia

https://en.wikipedia.org/wiki/Momentum

Variable Mass System and the Second Law of Motion - Wikipedia

https://en.wikipedia.org/wiki/Variable-mass_system

Newton’s Laws of Motion - NASA

https://www1.grc.nasa.gov/beginners-guide-to-aeronautics/newtons-laws-of-motion/

Reaction (in association with the third law of motion) - Wikipedia

https://en.wikipedia.org/wiki/Reaction_(physics)

Rigid Body - Wikipedia

https://en.wikipedia.org/wiki/Rigid_body

Plasticity (in connection to deformable bodies) - Wikipedia

https://en.wikipedia.org/wiki/Plasticity_(physics)

Superposition Principle (not quantum superposition) - Wikipedia

https://en.wikipedia.org/wiki/Superposition_principle

Shareable link to the document (has all of the mathematical examples that will be discussed in both this episode and the following episode):

https://docs.google.com/document/d/1VfEVBscCPTfoyTDyv4ZRFJYL9Luzyd1UHvjxzz-uwpg/edit?usp=sharing

References:

Derivative - Wikipedia

https://en.wikipedia.org/wiki/Derivative

Power Rule - Wikipedia

https://en.wikipedia.org/wiki/Power_rule

All derivative calculations were checked using this website

https://www.derivative-calculator.net/

Product Rule - Wikipedia

https://en.wikipedia.org/wiki/Product_rule

Quotient Rule - Wikipedia

https://en.wikipedia.org/wiki/Quotient_rule

Chain Rule - Wikipedia

https://en.wikipedia.org/wiki/Chain_rule

Integral - Wikipedia

https://en.wikipedia.org/wiki/Integral

Line Integral (AKA a Contour Integral in Complex Analysis) - Wikipedia

https://en.wikipedia.org/wiki/Line_integral

All integral calculations were checked using this calculator (can also calculate derivatives, but I was not near the calculator when I was working on the derivative portion of the chapter):

https://www.amazon.com/Texas-Instruments-TI-84-Graphing-Calculator/dp/B00TFYYWQA

Reverse Power Rule - KhanAcademy

https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-8a/e/intro-to-integration

Riemann Integral - Wikipedia

https://en.wikipedia.org/wiki/Riemann_integral

Fundamental Theorem(s) of Calculus - Wikipedia

https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

Differential Equation - Wikipedia

https://en.wikipedia.org/wiki/Differential_equation

Partial Differential Equation - Wikipedia

https://en.wikipedia.org/wiki/Partial_differential_equation

Note: in the episode, William said that e to the power of anything, excluding zero, equals zero. This is obviously not correct, for e^1 ≈ 2.718

Shareable link to the document (has all of the mathematical examples that will be discussed in both this episode and the following episode):

https://docs.google.com/document/d/1VfEVBscCPTfoyTDyv4ZRFJYL9Luzyd1UHvjxzz-uwpg/edit?usp=sharing

References:

Calculus - Wikipedia

https://en.wikipedia.org/wiki/Calculus

History of Calculus - Wikipedia

https://en.wikipedia.org/wiki/History_of_calculus

Isaac Newton - Wikipedia

https://en.wikipedia.org/wiki/Isaac_Newton

Infinitesimal - Wikipedia

https://en.wikipedia.org/wiki/Infinitesimal

Function - Wikipedia

https://en.wikipedia.org/wiki/Function_(mathematics)

History of the Function - Wikipedia

https://en.wikipedia.org/wiki/History_of_the_function_concept

Limit - Wikipedia

https://en.wikipedia.org/wiki/Limit_(mathematics)

One-Sided Limit - Wikipedia

https://en.wikipedia.org/wiki/One-sided_limit

l'Hôpital’s Rule - Wikipedia

https://en.wikipedia.org/wiki/L%27H%C3%B4pital%27s_rule

Welcome to Learning by William! I am your host, William Gottemoller, and I am happy to join you on your pursuit of knowledge!

References:

Galois Theory - Wikipedia

https://en.wikipedia.org/wiki/Galois_theory

Commutative Ring - Wikipedia

https://en.wikipedia.org/wiki/Commutative_ring

Commutative Algebra - Wikipedia

https://en.wikipedia.org/wiki/Commutative_algebra

Commutative Property - Wikipedia

https://en.wikipedia.org/wiki/Commutative_property

Noncommutative Ring - Wikipedia

https://en.wikipedia.org/wiki/Noncommutative_ring

Glossary of Ring Theory - Wikipedia

https://en.wikipedia.org/wiki/Glossary_of_ring_theory

Field - Wikipedia

https://en.wikipedia.org/wiki/Field_(mathematics)

Module Fundamentals - University of Illinois at Urbana-Champaign

https://faculty.math.illinois.edu/~r-ash/Algebra/Chapter4.pdf

Linear Transformation (Linear Map) - Wikipedia

https://en.wikipedia.org/wiki/Linear_map

Vector Space - Wikipedia

https://en.wikipedia.org/wiki/Vector_space

Scalar - Wikipedia

https://en.wikipedia.org/wiki/Scalar_(mathematics)

Lattice (Order) - Wikipedia

https://en.wikipedia.org/wiki/Lattice_(order)

Lattice (Group) - Wikipedia

https://en.wikipedia.org/wiki/Lattice_(group)

Infimum and Supremum - Wikipedia

https://en.wikipedia.org/wiki/Infimum_and_supremum

Algebra Over a Field - Wikipedia

https://en.wikipedia.org/wiki/Algebra_over_a_field

Ring Theory - Wikipedia

https://en.wikipedia.org/wiki/Ring_theory

Ring - Wikipedia

https://en.wikipedia.org/wiki/Ring_(mathematics)

References:

Abstract Algebra - Wikipedia

https://en.wikipedia.org/wiki/Abstract_algebra

“Group theory, abstraction, and the 196,883-dimensional monster” - 3Blue1Brown

https://www.youtube.com/watch?v=mH0oCDa74tE

Axiomatic System - Wikipedia

https://en.wikipedia.org/wiki/Axiomatic_system

Axiom - Wikipedia

https://en.wikipedia.org/wiki/Axiom

Pure Mathematics - Wikipedia

https://en.wikipedia.org/wiki/Pure_mathematics

Group Theory - Wikipedia

https://en.wikipedia.org/wiki/Group_theory

Group (Algebra) - Wikipedia

https://en.wikipedia.org/wiki/Group_(mathematics)

Main Classes of Groups in Group Theory - Wikipedia

https://en.wikipedia.org/wiki/Group_theory#Main_classes_of_groups

Classification of Finite Simple Groups - Wikipedia

https://en.wikipedia.org/wiki/Classification_of_finite_simple_groups

Finite Group - Wikipedia

https://en.wikipedia.org/wiki/Finite_group

Lie-Type Group - Wolfram Mathworld

https://mathworld.wolfram.com/Lie-TypeGroup.html

Monster Group - Wikipedia

https://en.wikipedia.org/wiki/Monster_group

Monstrous Moonshine - Wikipedia

https://en.wikipedia.org/wiki/Monstrous_moonshine

J-invariant and Q-expansion - Wikipedia

https://en.wikipedia.org/wiki/J-invariant#The_q-expansion_and_moonshine

Continuous Symmetry - Wikipedia

https://en.wikipedia.org/wiki/Continuous_symmetry

Geometric Group Theory - Wikipedia

https://en.wikipedia.org/wiki/Geometric_group_theory