What's so special about the Mandelbrot Set? - Numberphile

Videos: Perspectives on the Riemann Hypothesis, Bristol 2018

Perspectives on the Riemann Hypothesis, Bristol 2018
https://vimeo.com/album/5303404
Heilbronn Institute for Mathematical Research

March 2018 (Vol.. 73) - The American Statistician: Statistical Inference in the 21st Century: A World Beyond p < 0.05

A selection of interesting article titles in the current list of articles for current edition of The American Statistician.

https://amstat.tandfonline.com/toc/utas20/73/sup1?nav=tocList
Statistical Inference in the 21st Century: A World Beyond p < 0.05

• Moving to a World Beyond “p < 0.05”
• What Have We (Not) Learnt from Millions of Scientific Papers with P Values?
• Why is Getting Rid of P-Values So Hard? Musings on Science and Statistics
• Will the ASA's Efforts to Improve Statistical Practice be Successful? Some Evidence to the Contrary
• Correcting Corrupt Research: Recommendations for the Profession to Stop Misuse of p-Values
• Quality Control for Scientific Research: Addressing Reproducibility, Responsiveness, and Relevance
• The Role of Expert Judgment in Statistical Inference and Evidence-Based Decision-Making
• Expert Knowledge Elicitation: Subjective but Scientific
• Before p < 0.05 to Beyond p < 0.05: Using History to Contextualize p-Values and Significance Testing
• The Limited Role of Formal Statistical Inference in Scientific Inference
• Large-Scale Replication Projects in Contemporary Psychological Research
• Valid P-Values Behave Exactly as They Should: Some Misleading Criticisms of P-Values and Their Resolution With S-Values
• The p-Value Requires Context, Not a Threshold
• Assessing Statistical Results: Magnitude, Precision, and Model Uncertainty
• Putting the P-Value in its Place
• Evidence From Marginally Significant t Statistics
• The p-value Function and Statistical Inference
  
• p-Values, Bayes Factors, and Sufficiency
• Limitations of P-Values and R-squared for Stepwise Regression Building: A Fairness Demonstration in Health Policy Risk Adjustment
• An Introduction to Second-Generation p-Values
• A Proposed Hybrid Effect Size Plus p-Value Criterion: Empirical Evidence Supporting its Use
• Three Recommendations for Improving the Use of p-Values
• The False Positive Risk: A Proposal Concerning What to Do About p-Values
• Moving Towards the Post p < 0.05 Era via the Analysis of Credibility
• Blending Bayesian and Classical Tools to Define Optimal Sample-Size-Dependent Significance Levels
• How Effect Size (Practical Significance) Misleads Clinical Practice: The Case for Switching to Practical Benefit to Assess Applied Research Findings
• Abandon Statistical Significance
  
• Statistical Inference Enables Bad Science; Statistical Thinking Enables Good Science
• Inferential Statistics as Descriptive Statistics: There Is No Replication Crisis if We Don’t Expect Replication
• The New Statistics for Better Science: Ask How Much, How Uncertain, and What Else Is Known
• How Large Are Your G-Values? Try Gosset’s Guinnessometrics When a Little “p” Is Not Enough
• Predictive Inference and Scientific Reproducibility
• Treatment Choice With Trial Data: Statistical Decision Theory Should Supplant Hypothesis Testing
• Multiple Perspectives on Inference for Two Simple Statistical Scenarios
• Coup de Grâce for a Tough Old Bull: “Statistically Significant” Expires
• The World of Research Has Gone Berserk: Modeling the Consequences of Requiring “Greater Statistical Stringency” for Scientific Publication
• Assessing the Statistical Analyses Used in Basic and Applied Social Psychology After Their p-Value Ban

Essence of Linear Algebra (15 videos) by 3Blue1Brown

Animated Math
https://www.3blue1brown.com/
https://www.youtube.com/c/3blue1brown

Essence of Linear Algebra (15 Video Chapters)

• https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab

"3blue1brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective."

Useful References for Mathematical Notations, Symbols, and Constants

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

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

https://en.wikipedia.org/wiki/Greek_letters_used_in_mathematics,_science,_and_engineering

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

https://en.wikipedia.org/wiki/ISO_31-11

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

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

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

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

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

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

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

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

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

http://functions.wolfram.com/Notations/
http://functions.wolfram.com/PDF/Notations.pdf

HOW TO WRITE MATHEMATICS, by P.R. Halmos

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

"Paul Richard Halmos (Hungarian: Halmos Pál; March 3, 1916 – October 2, 2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor."

• https://entropiesschool.sciencesconf.org/data/How_to_Write_Mathematics.pdf
• https://www.math.uh.edu/~tomforde/Books/Halmos-How-To-Write.pdf
• http://www.stat.columbia.edu/~liam/teaching/HalmosWrite.pdf

One of "The Martians"

What Happens When Maths Goes Wrong? - with Matt Parker