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*Corresponding Author: Paul T E Cusack, Email: St-michael@hotmail.com
RESEARCH ARTICLE
Available Online at www.ajms.in
Asian Journal of Mathematical Sciences 2017; 1(5):205-206
Optimization of the GDP Equation
*Paul T E Cusack
*BScE, DULE, 1641 Sandy Point Rd., Saint John, NB, E2K 5E8 Canada
Received on: 25/07/2017, Revised on: 20/08/2017, Accepted on: 19/10/2017
ABSTRACT
Economics are now using Engineering Mechanics to solve Economic problems. In this paper, we use
Astrotheology Mathematics to optimize the GDP equation. This Econphyscis can be used to program a
computer to create a real-time computer program to solve unknown variable, such as consumption, in the
broad economy.
Keywords: GDP Equation; Astro-Theology Mathematics; Permittivity; Stiffness; Consumption.
INTRODUCTION
In a previous paper and book under the title of Physical Economics, the author considered making use of
Engineering Structural mechanics to model the economy. Different characteristic, such a s the load on a
simply supported beam can be thought of economically and the distribution of wealth across the
economy. His deflection of the bean can be considered as the GDP growth. In a series of papers, I
considered the solution to these stercoral engineering problems in a successful attempt to model the
economy. Things in Economics that can’t be measured can be measured in Physics and vice versa. Here
we consider the well known GDP Equation and its optimization. We make use of facts from Physics,
such as the number of elements in the Periodic Table of the elements to calculate Y. We make us of the
pervious paper by the author Cusack US Economy Equation to solve this optimization problem so that
ideal levels of government spending, Consumption, Savings and Investment can be determined
algebraically. This could be programmed in a computer algorithm if another paper in this economics
series published in Global economics Journal is considered. We begin with the GDP Equation.
Y=C+G+I+S+(EX-IM) eq.(1)
YGDP
C=Consumption
G=government Spending
I=Foreign Investment
S=Savings
Ex=Exports
Im = Imports.
We know from Cusack US Economy Equation, [3]
Y=e0.1315
=114.05 eq. (2)
And
We know from Astro-Theology Mathematics, [1]
Y=1/Y
Y²=1
Y=1=100%
Y=C+G+I+S+(EX-IM)
1.1405=C+G+(1/7)+(1/7)+0
C+G=0.3548
Paul T E Cusack et al. Optimization of the GDP Equation
© 2017, AJMS. All Rights Reserved. 206
=1/M
=1/116.98
=1/ (Number of elements in the Periodic Table of the Elements)
Let G=17%
C=68.5%
Now
116.98 (Element)× 1623 (Mass of a Proton) =1.8826~(1+ ε0)
Y=(1+ ε0) eq.(3)
=1/M
From Permittivity in Physics ε0:
εR × ε0=(1+X) ε0 eq.(4)
εR /(1+X)=1
=1/M
Where:
ε=strain
M=Mass
X=0.9915
ε0/0.9915=0.8902~c²
1=100%=M(1+c²)
GDP=Y=116(1+8.9)
Y=23.4
=Ln π
=1/cuz
=1/(π-e)
=1/k (k is Stiffness of the individual consumer, the slope of the Supply curve)
Y=eπ
(This is the optimum GDP condition. t=π) eq.(5)
Y=eπ
=C+G+I+S+0
eπ
=C+G+(1/7)=(1/7)+0
C=G=22.8
C-17%=22.8
C=1/√3=0.5774 or 54.47%
C=cot 60° (This is the optimum Consumption Function)
C-G=0.35.48%
22.8%-35.47%=1.268=ρ (Density of the Ether) [4]
CONCLUSION
We see that knowledge of physical parameters can be used to determine optimization levels for the GDP
Equation. Someone may program this into a computer program to produce a model of the national or
even global economy.
REFERENCES
1. Cusack, P. Astro-theology, Cusack’s Universe, J of Physical Mathematics. OMICS. Jan 2016.
2. Cusack US Economy Equation. J. Of Global Economics. OMICS. Jan 2017
3. An Algorithm for Economics: From GDP to the Consumer. (submitted)
4. The Ether: The Universal Material. Fluid mechanics, Open Access. OMICS. 2016.
AJMS,
Sep-Oct,
2017,
Vol.
1,
Issue
5

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5. optimisation of GDP equation.pdf

  • 1. *Corresponding Author: Paul T E Cusack, Email: St-michael@hotmail.com RESEARCH ARTICLE Available Online at www.ajms.in Asian Journal of Mathematical Sciences 2017; 1(5):205-206 Optimization of the GDP Equation *Paul T E Cusack *BScE, DULE, 1641 Sandy Point Rd., Saint John, NB, E2K 5E8 Canada Received on: 25/07/2017, Revised on: 20/08/2017, Accepted on: 19/10/2017 ABSTRACT Economics are now using Engineering Mechanics to solve Economic problems. In this paper, we use Astrotheology Mathematics to optimize the GDP equation. This Econphyscis can be used to program a computer to create a real-time computer program to solve unknown variable, such as consumption, in the broad economy. Keywords: GDP Equation; Astro-Theology Mathematics; Permittivity; Stiffness; Consumption. INTRODUCTION In a previous paper and book under the title of Physical Economics, the author considered making use of Engineering Structural mechanics to model the economy. Different characteristic, such a s the load on a simply supported beam can be thought of economically and the distribution of wealth across the economy. His deflection of the bean can be considered as the GDP growth. In a series of papers, I considered the solution to these stercoral engineering problems in a successful attempt to model the economy. Things in Economics that can’t be measured can be measured in Physics and vice versa. Here we consider the well known GDP Equation and its optimization. We make use of facts from Physics, such as the number of elements in the Periodic Table of the elements to calculate Y. We make us of the pervious paper by the author Cusack US Economy Equation to solve this optimization problem so that ideal levels of government spending, Consumption, Savings and Investment can be determined algebraically. This could be programmed in a computer algorithm if another paper in this economics series published in Global economics Journal is considered. We begin with the GDP Equation. Y=C+G+I+S+(EX-IM) eq.(1) YGDP C=Consumption G=government Spending I=Foreign Investment S=Savings Ex=Exports Im = Imports. We know from Cusack US Economy Equation, [3] Y=e0.1315 =114.05 eq. (2) And We know from Astro-Theology Mathematics, [1] Y=1/Y Y²=1 Y=1=100% Y=C+G+I+S+(EX-IM) 1.1405=C+G+(1/7)+(1/7)+0 C+G=0.3548
  • 2. Paul T E Cusack et al. Optimization of the GDP Equation © 2017, AJMS. All Rights Reserved. 206 =1/M =1/116.98 =1/ (Number of elements in the Periodic Table of the Elements) Let G=17% C=68.5% Now 116.98 (Element)× 1623 (Mass of a Proton) =1.8826~(1+ ε0) Y=(1+ ε0) eq.(3) =1/M From Permittivity in Physics ε0: εR × ε0=(1+X) ε0 eq.(4) εR /(1+X)=1 =1/M Where: ε=strain M=Mass X=0.9915 ε0/0.9915=0.8902~c² 1=100%=M(1+c²) GDP=Y=116(1+8.9) Y=23.4 =Ln π =1/cuz =1/(π-e) =1/k (k is Stiffness of the individual consumer, the slope of the Supply curve) Y=eπ (This is the optimum GDP condition. t=π) eq.(5) Y=eπ =C+G+I+S+0 eπ =C+G+(1/7)=(1/7)+0 C=G=22.8 C-17%=22.8 C=1/√3=0.5774 or 54.47% C=cot 60° (This is the optimum Consumption Function) C-G=0.35.48% 22.8%-35.47%=1.268=ρ (Density of the Ether) [4] CONCLUSION We see that knowledge of physical parameters can be used to determine optimization levels for the GDP Equation. Someone may program this into a computer program to produce a model of the national or even global economy. REFERENCES 1. Cusack, P. Astro-theology, Cusack’s Universe, J of Physical Mathematics. OMICS. Jan 2016. 2. Cusack US Economy Equation. J. Of Global Economics. OMICS. Jan 2017 3. An Algorithm for Economics: From GDP to the Consumer. (submitted) 4. The Ether: The Universal Material. Fluid mechanics, Open Access. OMICS. 2016. AJMS, Sep-Oct, 2017, Vol. 1, Issue 5