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Boston Marathon bio-math battle of 2nd derivatives of continous functions of the existential continuum.

RD-blog-number-3221

A   year 2013  Psychohistory WAR battle  analysis  report.

This report on the Boston Marathon 2013 race will cover  the 1st and 2nd derivatives   social engineering battle in BOSTON  mathematical-physics space/time continuum. We will cover in in stages ...... with the 2nd derivative message CLUES  outlined last. 

 

 

Boston Marathon b100dy math war explained by Isaac Asimov

 

 
The bio-mathematics expression of B100D are well-known. Using the Herbert Spencer model of INTERNAL and EXTERNAL correspondence ... we see  the INTERNAL b100d SYMBOL MACHINE conflicts express themselves in EXTERNAL  display format using human activities with the identifier signs  ...... a b100dy, tragic  event.

Chapter IV.: The Correspondence Between Life and Its Circumstances.

oll.libertyfund.org/title/1394/101633
Herbert Spencer, The Principles of Psychology [1855] ... Author: Herbert Spencer .... form links in the correspondence between internal and external changes.
 

Herbert Spencer's Contributions to Behavior Analysis: A ...

www.ncbi.nlm.nih.gov › ... › J Exp Anal Behavv.86(1); Jul 2006
by JC Leslie - ‎2006 - ‎Cited by 4 - ‎Related articles
Correspondence should be sent to J.C Leslie, School of Psychology, ... Herbert Spencer's Principles of Psychology (1855, first edition) was regarded by his ..... We have to identify the physical process by which an external relation that habitually affects an organism, produces in the organism an adjusted internal relation” (p.
 

§17: THE DATA OF ETHICS (1879) by Herbert Spencer

fair-use.org/herbert-spencer/the-data-of-ethics/s.17
Again, even the simplest notion of cause, as we understand it, can be reached ... ideas of uniformity of sequence and of co-existence—the idea of natural law. ... by him: the necessary relations among causes and effects are tacitly ignored by ...
 
 
 
 
 
 
In addition we have Boston University professor Isaac Asimov predictions about math expressions.
 
 
 
http://www.viewpointwestpartners.com/storage/isaac_asimov.jpg?__SQUARESPACE_CACHEVERSION=1337726994798
 
 

Charles Elkins- Isaac Asimov's FOUNDATION Novels: Historical ...

www.depauw.edu/sfs/backissues/8/elkins8art.htm
Isaac Asimov's FOUNDATION Novels: Historical Materialism Distorted into Cyclical .... Instead of events growing out of the inner logic and premises of the narrative ... it [Seldon's Plan] formulated definite laws capable of mathematical analysis and .... "Psycho-history is," 
 

Psychohistory  - Wikipedia cryptic SYMBOL code, the  free (abbreviation for frequency )   en +cycle+ open + dia

en.wikipedia.org/wiki/Psychohistory_(fictional)
For the study of the psychological motivation of historical and current events, see ... Psychohistory is a new  science theory described   in Isaac Asimov's Foundation universe ... etc., and mathematical statistics to make general predictions about the future ...
 

A mathematician's view on Asimov's psychohistory

www3.imperial.ac.uk/.../D094BCEA2ED0A88EE040C69B47396491
Jan 23, 2013 - Professor Dan Crisan takes a look at legendary science writer Isaac ... Event type: Lecture, Seminar ... Based on current research, it would appear that a mathematical model for predicting the future behaviour of very large groups, akin to the fictional science psychohistory in Isaac Asimov's book
 
 

Daily Kos: Is Metadata Psychohistory?

www.dailykos.com/story/2013/06/09/.../-Is-Metadata-Psychohistory
Jun 9, 2013 - Psychohistory is a concept in Isaac Asimov's science fiction novels which ... a branch of mathematics known as psychohistory, a concept of mathematical ... a scientific model to predict future events just like weather forecasting.
 
http://img.gawkerassets.com/img/18lrayn2vyogtjpg/ku-medium.jpg
 

 
 

 
 
Let's look at the bloody math tragedy in Boston in year 2013.
 
The math EVENT involved a continuous function and its line/curve represented on the geography surface of EARTH by the  Boston Marathon race route.
 
Below, is the mathematical-geophysics continuous line ..... with calculus 1st derivatives that became involved  in the Boston financial derivatives LINK to calculus derivatives ..... the conflict .....  the math calculations and math accounting systems war.
 
 
 
 

Continuous functions - An approach to calculus - The Math Page (with applied math life  in Boston) 

www.themathpage.com/acalc/continuous-function.htm
Therefore, consider the graph of a function f(x) .........t. The graph is a continuous, unbroken line. Therefore we want to say that f(x) is a continuous function.
 
http://media.cmgdigital.com/shared/lt/lt_cache/thumbnail/610/img/photos/2013/04/15/a7/9f/041714BostonMarathonRouteCO.jpg 
 
 

Continuous function - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Continuous_function
Differential calculus ... In mathematics, a continuous function is a function for which, intuitively, "small" changes in the ... plane; such a function is continuous if, roughly speaking, the graph is a single unbroken curve with no "holes" or "jumps".
 
 
http://bccalculus.wikispaces.com/file/view/f(x)%3Dx3.jpg/125752377/393x355/f(x)%3Dx3.jpg
 
 

Help with Continuity and Limits - Calculus Help | WyzAnt Tutoring

www.wyzant.com/help/math/calculus/limits/continuity
Many theorems in calculus require that functions be continuous on intervals of real ... Even though it is continuous and we can draw the graph without lifting our ...
 
http://02.edu-cdn.com/files/static/learningexpressllc/9781576855362/Graphs_L2_03.gif
 
 
 
 

Continuity and Differentiability

www.zweigmedia.com/RealWorld/calctopic1/contanddiffb.html
Calculus Applied to the Real World ... To begin, we recall the definition of the derivative of a function, and what it
 
Are all continuous functions differentiable?
 
 
 
 
 
 

Derivative - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Derivative
If f is a continuous function, meaning that its graph is an unbroken curve with ..... to a function f to give the first derivative Df. 
 
 

Graphing Using First and Second Derivatives

https://www.math.ucdavis.edu/~kouba/.../graphingdirectory/
GRAPHING OF FUNCTIONS USING FIRST AND SECOND DERIVATIVES. The following problems illustrate detailed graphing of functions of one variable using
 
 

Derivative - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Derivative
The slope of the tangent line is equal to the derivative of the function at the marked ... In Leibniz's notation, such an infinitesimal change in x is denoted by dx, and the .... However, in 1872 Weierstrass found the first example of a function that is ..
 
 
 In Leibniz's notation, such an infinitesimal change in x is denoted by dx
 In Leibniz's notation, such an infinitesimal change in x is denoted by dx
 In Leibniz's notation, such an infinitesimal change in x is denoted by dx
 
 
 

Tangent to a curve

 
 
The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line is equal to the derivative of the function at the marked point.
 
 
 
 

This gives an exact value for the slope of a straight line. If the function f is not linear (i.e. its graph is not a straight line), however, then the change in y divided by the change in x varies: differentiation is a method to find an exact value for this rate of change at any given value of x.

Rate of change as a limiting value

http://upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Tangent-calculus.svg/640px-Tangent-calculus.svg.png
Figure 1. The tangent line at (x, f(x))

The idea, illustrated by Figures 1 to 3, is to compute the rate of change as the limiting value of the ratio of the differences Δy / Δx as Δx becomes infinitely small.

In Leibniz's notation, such an infinitesimal change in x is denoted by dx, and the derivative of y with respect to x is written

 \frac{dy}{dx} \,\!
 
 
 
 
Using super-symmetry physics we have the dynamic parallel MODEL  to the Boston Marathon human bio-math runners  running along the mathematics geography curve.
 

Graph of sliding first derivative line  dx

 
 
At each point, the derivative of f(x)=x\cdot\sin(x^2) + 1 is the slope of a line that is tangent to the curve. The line is always tangent to the blue curve; its slope is the derivative. Note derivative is positive where a green line appears, negative where a red line appears, and zero where a black line appears.
 
 
 
 
 
The Isaac Asimov mathematical  social influence DEMO signaling EVENT ..
 
 
 

Boston Marathon bombings and the FOUNDATION Science WARS

New York Times columnist Paul Krugman tries to ... - Physics Today

www.physicstoday.org/daily_edition/science_and_the.../1.2880923
Nov 26, 2012 - Rubio's answer caused conservative New York Times columnist Ross .... In fact, why did Physics Today refer to this as the "Science Wars", ..
 
 

You can't follow the science wars without a battle map - The Economist

www.economist.com/node/109188
As the name suggests, the "science wars” belong mostly to the second sort. ... the publication in May 1996 of an article by Alan Sokal, a physicist at New York University, ... Listening to Messrs Sokal and Bricmont, you hear at times the sound of ...

Boston Marathon

Boston Ma...th

Boston Math  with Isaac Asimov --> living mathematics expressions in society

 
During the Boston Marathon on April 15, 2013, two pressure cooker bombs exploded at 2:49 pm EDT (18:49 UTC), killing 3 people and injuring an estimated 264 others.[3] The bombs exploded about 13 seconds and 210 yards (190 m) apart, near the finish line on Boylston Street.[2][8] The Federal Bureau of Investigation (FBI) took over the investigation, and on April 18, released photographs and surveillance video of two suspects.[9][10][11] The suspects were identified later that day as Dzhokhar and Tamerlan Tsarnaev.
 
 
Now geography city of Boston has 3-dimensional  office building  that exist in EARTHLY mathematical-physics space ..... known to high school algebra and plane geometry students as the  math SYMBOL / graph coordinates X, Y, Z.
 
 
 
On a  2-dimensional sheet of cellulose paper in high school class ...we see ... 
 
http://1.bp.blogspot.com/-b7otHbFkv0E/Tz1CLxwAq6I/AAAAAAAAAOw/d0CltwWFdnY/s1600/250px-Cartesian-coordinate-system.svg.png
 
 
 
In high school physics and basic college science courses we become more acquainted with .... the 3-dimensions of  office buildings and the 3-D surface REALITY on geography EARTH.
 
Below, is an image of the  contents that are required to be  inside your adult brain SYMBOL maps  ... as stated by S.I. Hayakawa in " Language in Thought and Action".
 
http://www.shodor.org/chemviz/zmatrices/students/formald3.gif
 
 
 
 
 
Proposal for Harbor Garage site in Boston in Massachusetts, United States

The Proposal for  Boston designed by  mathematical-physics VIA   human expression devices. 

 

 

 

Let look at the  BOSTON math event  ... in concept terms ..... in   the Boston region comprised  of  the multi-faceted dimensions and formats within  Sartre existentialism.

We are interested in the 1st derivatives of continuous math space (and  math economic   transaction activities with that math space ...such as financial derivatives and their citizen/government  approved ERROR violations of Nature's math accounting  space)

 

 

The 1st derivatives of continuous math space

or

 the related concept of triple  intergral

 using  dx,dy,dz 

 

Symbolism - Merriam-Webster Online

www.merriam-webster.com/dictionary/symbolism
the art or practice of using symbols especially by investing things with a symbolic meaning or 
by expressing the invisible or intangible by means of visible

 

 

Math concepts for dx,dy,dz  ... in one of the concept formats  .. derivative or integral

Setting up an Integral Over a Solid with Order of Integration dz dy dx

www.math.byu.edu/~math302/content/.../rectzyxexample.html
Setting up an Integral Over a Solid with Order of Integration dz dy dx. Example. Let T be the solid ... These will be the limits of integration on the first integral sign

 

 dy dy dz dx dz dx

www2.econ.iastate.edu/classes/econ301/qiao/math%20review%20(II).pdf
function of only one variable x, the partial derivative and the total derivative (i.e. dy/dx) are the same. A few common examples follow : FUNCTION (y).

 

 

 

Let's then look at the Boston tragedy for the math components oft eh EVENT covered by the Theory of Everything in physics,  bio-physics and geo-physics.

 

1) Let the SYMBOL MACHINE function F(x) and the derivative dx ..  be repesented the continuous street route  of the race

 

http://media.cmgdigital.com/shared/lt/lt_cache/thumbnail/610/img/photos/2013/04/15/a7/9f/041714BostonMarathonRouteCO.jpg

2)  the bombing tragedy produced the 2nd math SYMBOL MACHINE signal --> dy

News for boston marathon bloody bombing

 

bloody

bloody

bloody

Boston Marathon Bombing: Nurses Tell Of Bloody Aftermath

www.huffingtonpost.com/.../boston-marathon-bombing-nurses_n_3128...
Apr 21, 2013 - BOSTON — The screams and cries of bloody marathon bombing victims still haunt the nurses who treated them one week ago. They did their .
3) the 3rd math sign ....... of a bio-math expression structure and his bio-math proper noun

The suspects were identified later that day as Dzhokhar and Tamerlan Tsarnaev.

The suspects were identified later that day as Dzhokhar.
The suspects were identified later that day as Dz.
 
 
 
 
 
Thus we see the 3 math derivatives as subset components of this math message EVENT.
 
 
In addition, we known that the intermediate value theorem has something to do with middle / approximation / crossing a line/ mid  --->
 
thus a possible LINK to the continuous math function life of a BLOOD vessel  and blood plasmid.
 
plasmid --> mid ---> middle ..... some bio-math ideas .....

0.1 Newton's method and the Mean Value Theorem - IMA

www.ima.umn.edu/~miller/Newton-MVT.pdf
x ∈ D, and set C = B/A. By the Mean Value Theorem there is a point. ˜xn ∈ D ... Example 2 
We approximate √7 by using the midpoint method to find the positive 
 
 
midpoint method 
midpoint method 
midpoint method ???

 

 

 

 

 

 

 

 

 

The 2nd derivative math CLUES.

Second derivative - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Second_derivative
In calculus, the second derivative, or the second order derivative, of a function f is the derivative of the derivative of f. Roughly speaking, the second derivative ...

Second derivative

In calculus, the second derivative, or the second order derivative, of a function f is the derivative of the derivative of f. Roughly speaking, the second derivative measures how the rate of change of a quantity is itself changing; for example, the second derivative of the position of a vehicle with respect to time is the instantaneous acceleration of the vehicle, or the rate at which the velocity of the vehicle is changing.

Example

Given the function

f(x) = x^3,\!

the derivative of f is the function

f'(x) = 3x^2.\!

The second derivative of f is the derivative of f′, namely

f''(x) = 6x.\!

Second derivative test - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Second_derivative_test
In calculus, the second derivative test is a criterion for determining whether a given critical point of a real function of one variable is a local maximum or a local ..

The Second Derivative - Ugrad.math.ubc.ca

  • www.ugrad.math.ubc.ca/coursedoc/math100/notes/.../second-deriv.html
  • Now that we've seen how
  • the derivative and its zeroes can help us to locate local maxima and minima of functions,
  • let's consider an example which will put ...

 

 

 

The empirical data clues .......
----> we have derivative  dz --> bio-math agent  Dzhokhar  

--->2 bombs (zero implies destroy)   and 2 human bio-math agents  

Boston Marathon bombings - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Boston_Marathon_bombings
During the Boston Marathon on April 15, 2013, two pressure cooker bombs exploded at 2:49 pm EDT (18:49 UTC).
The suspects were identified later that day as Dzhokhar and Tamerlan Tsarnaev.
Shortly after the FBI released the images, the suspects allegedly killed an MIT MITochondria brain cell  police officer.
Thus MIT university is involved in the Norbert  Wiener cybernetics  brain  battles  ..... via CODE ....   
Psychohistory SYMBOL MACHINE and language wars
,

 

 

 

 
Many questions STILL  exist about the Boston Math Marathon  and the math details and Nature's message to society.
There is sadness that Boston University  forgot  Isaac Asimov  and the INTELLECTUAL ideas and possibilities he gave the world and more sadness that  MIT betrayed Norbert Wiener and his brain  standards of intellectual clarity and accurate thought and effort to think clearly.. 
 
 

Isaac Asimov - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Isaac_Asimov
After completing his doctorate, Asimov joined the faculty of the Boston University School of Medicine, with which he remained associated thereafter. From 1958 ...

Isaac Asimov | Biography, Books and Facts - Famous Authors

www.famousauthors.org/isaac-asimov
Also a professor of biochemistry at Boston University, Isaac Asimov has over 500 published volumes in addition to 90,000 letters, postcards and other scientific ...
 
 
 
Boston and East coast  universities are known in year 2013 .... for their social science, economics, and philosophy  marathon run-around.  
Over 50 years ago ...... Asimov and Wiener took their intellectual abilities seriously and tried to help explain how the world works.
Today, the song-and-dance routine prevails  among citizens, college graduates, etc. 
Meanwhile, Nature's INTELLECT systems,  SYMBOL MACHINES, and social process control systems  continue to evolve   ..... as subset humans and  their subset institution fall behind.
Ask Richard Dawkins and Stephen Hawking about the ......

The Rime of the Ancient Mariner by Samuel (Sample space)  Taylor (polynomials)   Coleridge (Col = Columns of the 18 families of the periodic atomic tavle of life and thought)

www.online-literature.com › Samuel Taylor Coleridge
It is an ancient Mariner, And he stoppeth one of ... And thus spake on that ancient man, The bright-eyed Mariner. ... "There passed a weary time. Each throat
and Nature's .......

News for poetry rhyme  ...

such as the signaling EVENT of the Westroad Mall shooting in Omaha with Richard Hawkins ..... --> WEST Road Cambridge England with  astrophysics and evolution poetry agents  ...... Dawkins and Hawkins .... and Hawkins and Hawking  ....and British squawking.

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