Bertrand Wong - Academia.edu (original) (raw)
Papers by Bertrand Wong
People are apparently reluctant to have children or more children due to job and financial insecu... more People are apparently reluctant to have children or more children due to job and financial insecurity, and other reasons, e.g., desire for independence and freedom, women wanting to focus on their jobs and career development instead of giving birth and becoming housewives, etc. Declining birth-rates are apparently now a concern to many countries, e.g., China, Japan, South Korea, Singapore, etc., for the young are needed to replace an aging work-force. This paper takes an analytical look at the declining birth-rates and increasing the birth-rate and population, and offers some suggestions for a solution to this complex problem. Many of the scenarios presented in the paper are derived from the author’s work experience in government dealing with labor matters and in the industrial sector dealing with automation and workers. The ideas in the paper should appeal to theorists, practitioners and social activists.
This paper leads to the exposition of the Riemann zeta function ζ and the distribution of the non... more This paper leads to the exposition of the Riemann zeta function ζ and the distribution of the nontrivial zeros and primes. It also leads to 5 explanations for the non-trivial zeros being always on the critical line and not anywhere else on the critical strip, with numerical evidences to support the explanations, the most important of which being apparently that of the "mechanics" behind this phenomenon.
The motion of fluids which are incompressible could be described by the Navier-Stokes differentia... more The motion of fluids which are incompressible could be described by the Navier-Stokes differential equations. Although they are relatively simple-looking, the three-dimensional Navier-Stokes equations misbehave very badly. Even with nice, smooth, reasonably harmless initial conditions, the solutions could wind up being extremely unstable. The field of fluid mechanics would be dramatically altered through a mathematical understanding of the outrageous behavior of these equations. The three-dimensional Navier-Stokes equations are apparently not solvable, i.e., the equations cannot be used to model turbulence or chaos (which is a three-dimensional phenomenon). This paper is based on several papers the author has published in international journals.
This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It... more This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It looks into the question of whether any non-trivial zeros would ever possibly be found off the critical line Re (s) = 1/2 on the critical strip between Re (s) = 0 and Re (s) = 1, e.g., at Re (s) = 1/4, 1/3, 3/4, 4/5, etc., and why all the non-trivial zeros are always found at the critical line Re (s) = 1/2 on the critical strip between Re (s) = 0 and Re (s) = 1 and not anywhere else on this critical strip, with the first 10 13 non-trivial zeros having been found only at the critical line Re (s) = 1/2. It should be noted that a conjecture, or, hypothesis could possibly be proved by comparing it with a theorem that has been proven, which is one of the several deductions utilized in this paper. Through these several deductions presented, the paper shows how the Riemann hypothesis may be approached to arrive at a solution. In the paper, instead of merely using estimates of integrals and sums (which are imprecise and may therefore be of little or no reliability) in the support of arguments, where feasible actual computations and precise numerical facts are used to support arguments, for precision, for more sharpness in the arguments, and for "checkability" or ascertaining of the conclusions. (This paper is published in an international mathematics journal.)
This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It... more This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It looks into the question of whether any non-trivial zeros would ever possibly be found off the critical line Re(s) = 1/2 on the critical strip between Re(s) = 0 and Re(s) = 1, e.g., at Re(s) = 1/4, 1/3, 3/4, 4/5, etc., and why all the non-trivial zeros are always found at the critical line Re(s) = 1/2 on the critical strip between Re(s) = 0 and Re(s) = 1 and not anywhere else on this critical strip, with the first 1013 non-trivial zeros having been found only at the critical line Re(s) = 1/2. It should be noted that a conjecture, or, hypothesis could possibly be proved by comparing it with a theorem that has been proven, which is one of the several deductions utilized in this paper. Through these several deductions presented, the paper shows how the Riemann hypothesis may be approached to arrive at a solution. In the paper, instead of merely using estimates of integrals and sums (which are imprecise and may therefore be of little or no reliability) in the support of arguments, where feasible actual computations and precise numerical facts are used to support arguments, for precision, for more sharpness in the arguments, and for “checkability” or ascertaining of the conclusions. (This paper is published in an international mathematics journal.)
International journal of pure and applied mathematics, 2012
viXra, Oct 1, 2013
Euclid’s proof of the infinitude of the primes has generally been regarded as elegant. It is a pr... more Euclid’s proof of the infinitude of the primes has generally been regarded as elegant. It is a proof by contradiction, or, reductio ad absurdum, and it relies on an algorithm which will always bring in larger and larger primes, an infinite number of them. However, the proof is also subtle and has been misinterpreted by some with one well-known mathematician even remarking that the algorithm might not work for extremely large numbers. The author has been working on the twin primes conjecture for a long period and had published a paper on the conjecture in an international mathematics journal in 2003. This paper presents some remarks/reasons which support the validity of the twin primes conjecture, including a reasoning which is somewhat similar to Euclid’s proof of the infinity of the primes. (This paper is published in an international mathematics journal.)
Brazilian Journal of Political Economy
This paper raises some points about the economy and economic policies, and presents some possible... more This paper raises some points about the economy and economic policies, and presents some possible economic solution, providing the stimulus for economic thought and importantly action to forestall economic problems. The practicable economic policies suggested in the paper would to some extent alleviate the serious economic problems of inflation, deflation, recessions, and unemployment, though it is also hoped that the suggested economic policies could permanently eliminate these serious economic issues. The successful implementation of these economic policies would certainly lead to a better society, possibly with inclusive and sustainable economic growth, employment, and decent work for all.
European Journal of Environment and Public Health
COVID-19 has made its unexpected entrance into the world sometime in late 2019 causing much fear,... more COVID-19 has made its unexpected entrance into the world sometime in late 2019 causing much fear, economic disasters, suffering, and fatalities throughout the world. This paper examines the pandemic and introduces an aggressive intervention and strategy, for humanity should not let themselves be sitting ducks waiting for the virus to attack, and some possible technological methods for mitigating COVID-19 and other viral infections.
Bulletin of Pure & Applied Sciences- Mathematics and Statistics
This paper, which is published in an international mathematics journal and endorsed by a mathemat... more This paper, which is published in an international mathematics journal and endorsed by a mathematics society, touches on the part played by the non-trivial zeros of the Riemann zeta function ζ, providing many important information and insights in the process, including some approaches to the Riemann hypothesis.
People are apparently reluctant to have children or more children due to job and financial insecu... more People are apparently reluctant to have children or more children due to job and financial insecurity, and other reasons, e.g., desire for independence and freedom, women wanting to focus on their jobs and career development instead of giving birth and becoming housewives, etc. Declining birth-rates are apparently now a concern to many countries, e.g., China, Japan, South Korea, Singapore, etc., for the young are needed to replace an aging work-force. This paper takes an analytical look at the declining birth-rates and increasing the birth-rate and population, and offers some suggestions for a solution to this complex problem. Many of the scenarios presented in the paper are derived from the author’s work experience in government dealing with labor matters and in the industrial sector dealing with automation and workers. The ideas in the paper should appeal to theorists, practitioners and social activists.
This paper leads to the exposition of the Riemann zeta function ζ and the distribution of the non... more This paper leads to the exposition of the Riemann zeta function ζ and the distribution of the nontrivial zeros and primes. It also leads to 5 explanations for the non-trivial zeros being always on the critical line and not anywhere else on the critical strip, with numerical evidences to support the explanations, the most important of which being apparently that of the "mechanics" behind this phenomenon.
The motion of fluids which are incompressible could be described by the Navier-Stokes differentia... more The motion of fluids which are incompressible could be described by the Navier-Stokes differential equations. Although they are relatively simple-looking, the three-dimensional Navier-Stokes equations misbehave very badly. Even with nice, smooth, reasonably harmless initial conditions, the solutions could wind up being extremely unstable. The field of fluid mechanics would be dramatically altered through a mathematical understanding of the outrageous behavior of these equations. The three-dimensional Navier-Stokes equations are apparently not solvable, i.e., the equations cannot be used to model turbulence or chaos (which is a three-dimensional phenomenon). This paper is based on several papers the author has published in international journals.
This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It... more This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It looks into the question of whether any non-trivial zeros would ever possibly be found off the critical line Re (s) = 1/2 on the critical strip between Re (s) = 0 and Re (s) = 1, e.g., at Re (s) = 1/4, 1/3, 3/4, 4/5, etc., and why all the non-trivial zeros are always found at the critical line Re (s) = 1/2 on the critical strip between Re (s) = 0 and Re (s) = 1 and not anywhere else on this critical strip, with the first 10 13 non-trivial zeros having been found only at the critical line Re (s) = 1/2. It should be noted that a conjecture, or, hypothesis could possibly be proved by comparing it with a theorem that has been proven, which is one of the several deductions utilized in this paper. Through these several deductions presented, the paper shows how the Riemann hypothesis may be approached to arrive at a solution. In the paper, instead of merely using estimates of integrals and sums (which are imprecise and may therefore be of little or no reliability) in the support of arguments, where feasible actual computations and precise numerical facts are used to support arguments, for precision, for more sharpness in the arguments, and for "checkability" or ascertaining of the conclusions. (This paper is published in an international mathematics journal.)
This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It... more This paper discusses the distribution of the non-trivial zeros of the Riemann zeta function ζ. It looks into the question of whether any non-trivial zeros would ever possibly be found off the critical line Re(s) = 1/2 on the critical strip between Re(s) = 0 and Re(s) = 1, e.g., at Re(s) = 1/4, 1/3, 3/4, 4/5, etc., and why all the non-trivial zeros are always found at the critical line Re(s) = 1/2 on the critical strip between Re(s) = 0 and Re(s) = 1 and not anywhere else on this critical strip, with the first 1013 non-trivial zeros having been found only at the critical line Re(s) = 1/2. It should be noted that a conjecture, or, hypothesis could possibly be proved by comparing it with a theorem that has been proven, which is one of the several deductions utilized in this paper. Through these several deductions presented, the paper shows how the Riemann hypothesis may be approached to arrive at a solution. In the paper, instead of merely using estimates of integrals and sums (which are imprecise and may therefore be of little or no reliability) in the support of arguments, where feasible actual computations and precise numerical facts are used to support arguments, for precision, for more sharpness in the arguments, and for “checkability” or ascertaining of the conclusions. (This paper is published in an international mathematics journal.)
International journal of pure and applied mathematics, 2012
viXra, Oct 1, 2013
Euclid’s proof of the infinitude of the primes has generally been regarded as elegant. It is a pr... more Euclid’s proof of the infinitude of the primes has generally been regarded as elegant. It is a proof by contradiction, or, reductio ad absurdum, and it relies on an algorithm which will always bring in larger and larger primes, an infinite number of them. However, the proof is also subtle and has been misinterpreted by some with one well-known mathematician even remarking that the algorithm might not work for extremely large numbers. The author has been working on the twin primes conjecture for a long period and had published a paper on the conjecture in an international mathematics journal in 2003. This paper presents some remarks/reasons which support the validity of the twin primes conjecture, including a reasoning which is somewhat similar to Euclid’s proof of the infinity of the primes. (This paper is published in an international mathematics journal.)
Brazilian Journal of Political Economy
This paper raises some points about the economy and economic policies, and presents some possible... more This paper raises some points about the economy and economic policies, and presents some possible economic solution, providing the stimulus for economic thought and importantly action to forestall economic problems. The practicable economic policies suggested in the paper would to some extent alleviate the serious economic problems of inflation, deflation, recessions, and unemployment, though it is also hoped that the suggested economic policies could permanently eliminate these serious economic issues. The successful implementation of these economic policies would certainly lead to a better society, possibly with inclusive and sustainable economic growth, employment, and decent work for all.
European Journal of Environment and Public Health
COVID-19 has made its unexpected entrance into the world sometime in late 2019 causing much fear,... more COVID-19 has made its unexpected entrance into the world sometime in late 2019 causing much fear, economic disasters, suffering, and fatalities throughout the world. This paper examines the pandemic and introduces an aggressive intervention and strategy, for humanity should not let themselves be sitting ducks waiting for the virus to attack, and some possible technological methods for mitigating COVID-19 and other viral infections.
Bulletin of Pure & Applied Sciences- Mathematics and Statistics
This paper, which is published in an international mathematics journal and endorsed by a mathemat... more This paper, which is published in an international mathematics journal and endorsed by a mathematics society, touches on the part played by the non-trivial zeros of the Riemann zeta function ζ, providing many important information and insights in the process, including some approaches to the Riemann hypothesis.