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1029:
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This graph has data from most countries, wherein it plots the poverty fraction (that is, the percentage of population of the country that live in UN defined impoverished standards) against the average life expectancy for a citizen of that country. I thought this graph to be interesting given the
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Using a recursive formula to suggest patterns of evolutionary drift can be enhanced by including a term that depends on the history of said progression.
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460:{\displaystyle a_{n}=\underbrace {a_{n-1}+r_{n}-R} _{\text{evolutionary drift}}+\underbrace {M(a_{n-1}-a_{n-m})} _{\text{path history term}}}
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to be the set of all things that exist within the system in question. This is loosely analogous to the wavefunction in quantum mechanics.
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is another number (mediator) that controls how much influence the path history has over the progression of the system, and we define
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is a number (reducer) of any chosen value for the specific system that controls the positivity of the resultant graph,
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It can be shown that the transition from linear to exponential behaviour of the resulting system occurs at
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surpasses 1000. The conjecture is that the definition of the split increases indefinitely with
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is a random number between 0 and 1, the contribution from fluctuations within the system,
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284:{\displaystyle \forall \pi (\exists 0\Rightarrow (\exists (k\in \pi ):k\equiv 0))}
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Scatter diagram demonstrating poverty fraction potted against life expectancy.
140:{\displaystyle \prod _{p=2}^{m}(p^{i}-p^{i-1})=\Gamma (m)\Gamma (m+1)^{i-1}}
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loose correlation (which one would expect). The 'best fit' line is
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867:A Relationship between Life Expectancy and Poverty
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945:The lower pound of the perimeter of a country,
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149:Note the right hand side can be written as:
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930:{\displaystyle P.F.=0.1{\sqrt {80-L.E.}}}
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744:demonstrates a clear bifurcation (with
675:A graph of the number of ways in which
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1024:Map Showing FIFA Ranking by Colour
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765:{\displaystyle n\in \mathbb {N} }
645:Demonstration of bifurcation for
562:to be the order of the equation.
317:Evolutionary Progression Relation
204:{\displaystyle (m-1)!(m!)^{i-1}}
695:can be expressed as the sum of
1013:{\displaystyle S=5{\sqrt {A}}}
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606:{\displaystyle M=(m-1)^{-1}}
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724:squares plotted against
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851:{\displaystyle n\ll m}
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637:Bifurcation Conjecture
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489:{\displaystyle r_{n}}
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717:{\displaystyle 2n+1}
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306:{\displaystyle \pi }
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812:for suitably large
772:), particularly as
664:{\displaystyle n=2}
555:{\displaystyle m-1}
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941:Area and Perimeter
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862:Geographical Notes
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390:evolutionary drift
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20:Mathematical Notes
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978:{\displaystyle A}
965:, given its area
958:{\displaystyle S}
925:
825:{\displaystyle m}
805:{\displaystyle n}
785:{\displaystyle m}
737:{\displaystyle m}
688:{\displaystyle m}
626:{\displaystyle M}
529:{\displaystyle M}
509:{\displaystyle R}
454:
453:path history term
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293:Here I define
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25:Gamma Equation
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987:
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217:
214:Null Theorem
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28:
15:
832:(i.e. that
911:−
843:≪
755:∈
596:−
585:−
547:−
447:⏟
435:−
424:−
416:−
384:⏟
377:−
356:−
301:π
270:≡
258:π
255:∈
246:∃
240:⇒
234:∃
228:π
225:∀
194:−
165:−
130:−
107:Γ
95:Γ
81:−
70:−
37:∏
633:rises.
469:Where
985:is:
903:0.1
858:).
1020:.
937:.
908:80
1006:A
1001:5
998:=
995:S
973:A
953:S
923:.
920:E
917:.
914:L
900:=
897:.
894:F
891:.
888:P
846:m
840:n
820:m
800:n
780:m
759:N
752:n
732:m
712:1
709:+
706:n
703:2
683:m
671:.
659:2
656:=
653:n
621:M
599:1
592:)
588:1
582:m
579:(
576:=
573:M
550:1
544:m
524:M
504:R
482:n
478:r
443:)
438:m
432:n
428:a
419:1
413:n
409:a
405:(
402:M
395:+
380:R
372:n
368:r
364:+
359:1
353:n
349:a
341:=
336:n
332:a
279:)
276:)
273:0
267:k
264::
261:)
252:k
249:(
243:(
237:0
231:(
197:1
191:i
187:)
183:!
180:m
177:(
174:!
171:)
168:1
162:m
159:(
133:1
127:i
123:)
119:1
116:+
113:m
110:(
104:)
101:m
98:(
92:=
89:)
84:1
78:i
74:p
65:i
61:p
57:(
52:m
47:2
44:=
41:p
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