Quotable Mathematics - Quotes and Resources related to Mathematics, (Mathematical) Sciences and Mathematicians
Cologne
Joined November 2014
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Quotable Math retweeted
Understanding probability is essential in data science.
In 4 minutes, I'll demolish your confusion.
Let's go!
Quotable Math retweeted
"It is a #misuse of #statistics to use whichever set of statistics suits the #purpose at hand and ignore the conflicting sets and the implications of the #conflicts." Herbert F Spirer et al, 1998
#DataScience #quotes
Quotable Math retweeted
"Many #scientists who work not just with #noise but with #probability make a common mistake: They assume that a bell curve is automatically #Gauss's bell curve. [.] The result can be a noise #model that grossly misrepresents the real noise #pattern." Bart Kosko, 2006
#DataScience
Quotable Math retweeted
"The #plausibility of the #assumptions is more important than the #accuracy of the #math. [.] The same is true of mathematical #models that are used to make #predictions. If the assumptions are wrong, the predictions are worthless." Gary Smith et al, 2019
#DataScience #quotes
Quotable Math retweeted
"Good #DataScientists know that they need to get the #assumptions right. It is not enough to have fancy #math. Clever math with preposterous premises can be disastrous. [.] Good data scientists think about what they are #modeling before making assumptions." Gary Smith et al, 2019
Quotable Math retweeted
"#Mathematicians love #math and many non-mathematicians are intimidated by math. This is a lethal combination that can lead to the creation of wildly unrealistic mathematical #models." Gary Smith & Jay Cordes, 2019
#DataScience #quotes
Quotable Math retweeted
"Of itself an arithmetic #average is more likely to conceal than to disclose important #facts; it is the nature of an abbreviation, and is often an excuse for laziness." Arthur L Bowley, 1915
#DataScience #quotes #statistics
sql-troubles.blogspot.com/20…
Quotable Math retweeted
"The big #problems with #statistics [.] have little to do with computations and #formulas. They have to do with #judgment - how to #design a study, how to conduct it, then how to analyze and interpret the #results." V Cohn et al, 2012
#datascience #quotes
sql-troubles.blogspot.com/20…
Quotable Math retweeted
Map of Mathematics.
Enlarge the figure to see all the wonderful areas for exploration and imagination. Which topic might you find most fascinating?
By Dominic Walliman, @DominicWalliman, Source: bit.ly/3TdnwcS, Used with permission.
Quotable Math retweeted
“Mathematicians might actually be looking at life with a most trenchant sense—one that perceives things the other five senses cannot.”
~Michael Guillen, Bridges to Infinity, 1983
Quotable Math retweeted
"[.] a general-purpose universal #optimization #strategy is theoretically impossible, and the only way one strategy can outperform another is if it is specialized to the specific problem under consideration." Y C Ho, 2009
#datascience #nofreelunch #quotes
sql-troubles.blogspot.com/20…
Quotable Math retweeted
"Someone asked: What are the most important ideas in physics over the past 30 years? Three immediately came to mind: The holographic principle, topological order, quantum error correction. What's lovely is that these three ideas are so closely related."
~John Preskill, @preskill
Quotable Math retweeted
"#Emergence is the phenomenon of properties, capabilities and behaviours evident in the whole #system that are not exclusively ascribable to any of its parts." Derek Hitchins
#SystemsEngineering #phenomena #quotes
sql-troubles.blogspot.com/20…
Quotable Math retweeted
"But #structure is not enough to make a #system. A system consists of something more than structure: it is a structure with certain #properties. When a structure is understood from the standpoint of its properties, it is understood as a system." A Spirkin
sql-troubles.blogspot.com/20…
Quotable Math retweeted
"Every #process has #laws, known or #unknown, according to which it must take place. A consciousness of them is so far from being necessary to the process, that we cannot discover what they are, except by analyzing the results it has left us." Lord Kelvin
sql-troubles.blogspot.com/20…
Quotable Math retweeted
ICYMI: The square root of minus one is called an “imaginary” number, but as @MrHonner explains in our latest Quantized Academy column, they have many surprisingly diverse applications in the real world.
buff.ly/2D4AS7e
Quotable Math retweeted
A Harvard graduate student has proven that a certain family of mathematical curves comes in only two flavors. Yet at the same time, an infinite number of exceptions exist. Both statements are true.
quantamagazine.org/new-proof…
Quotable Math retweeted
"People use math to collaborate and communicate with others. They make sense of problems that are interesting and complex." This article explains the importance of incorporating math talk into the classroom. bit.ly/2ABOXqx
Quotable Math retweeted
‘The silent mathematics classroom with every child working independently on abstract calculations has limitations in its value for effective learning, & environments that encourage communication will provide a more appropriate preparation for a role in society’ (Anghileri, 1995)