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Proof of Riemann's Hypothesis

Mathematics, #1

by James Constant ...

Series Book 1 - Mathematics
It has already been shown that all zeros are in the critical strip and that they are symmetric about the critical line. I make several assumptions and show that all zeros are on the critical line and that Riemann's functional equation presents a problem. The assumptions are, first, that Riemann's zeta function is single valued at each point of the critical strip (it is not), second, Riemann's ... Read more

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It has already been shown that all zeros are in the critical strip and that they are symmetric about the critical line. I make several assumptions and show that all zeros are on the critical line and that Riemann's functional equation presents a problem. The assumptions are, first, that Riemann's zeta function is single valued at each point of the critical strip (it is not), second, Riemann's
... Read more
Constant v American Micro-Devices (Supreme Court Patent Morass)

Patent Reform, #1

by James Constant ...

Series Book 1 - Patent Reform
Public interest or case jurisdiction?- In deciding patent cases, Supreme Court holds both ways: Patent invalidity decision without looking at patent infringement claim or patent infringement claim decision Before Patent Invalidity defense ... Read more

$14.95 USD or Free with Kobo Plus

Public interest or case jurisdiction?- In deciding patent cases, Supreme Court holds both ways: Patent invalidity decision without looking at patent infringement claim or patent infringement claim decision Before Patent Invalidity defense
... Read more
The Domain of Law

Philosophy of Law, #1

by James Constant ...

Series Book 1 - Philosophy of Law
Jurisprudence. Philosophy of Law. Uncertainty of Law and Constitutional Government. This book looks at the domain of law: the laws of Faith, Reason, and Observation; Natural Law; Positivism; Realism; Nomocriticism ... Read more

$9.99 USD or Free with Kobo Plus

Jurisprudence. Philosophy of Law. Uncertainty of Law and Constitutional Government. This book looks at the domain of law: the laws of Faith, Reason, and Observation; Natural Law; Positivism; Realism; Nomocriticism
... Read more
Newton's Gravitation and Cosmic Expansion (I. Non-Relativistic)

Gravitation, #1

by James Constant ...

Series Book 1 - Gravitation
The present theory in five parts is based on Newton's theory and special relativity. Each part of the work is presented as a separate web page. This first part of the work describes the cosmic force of gravitation, in terms of classical gravistatics, analogous to electrostatics, describes the action at a distance and retarded action types of universes, respectively, as likely and unlikely, ... Read more

$9.95 USD or Free with Kobo Plus

The present theory in five parts is based on Newton's theory and special relativity. Each part of the work is presented as a separate web page. This first part of the work describes the cosmic force of gravitation, in terms of classical gravistatics, analogous to electrostatics, describes the action at a distance and retarded action types of universes, respectively, as likely and unlikely,
... Read more
The Right to Petition And Democracy

Court Reform, #1

by James Constant ...

Series Book 1 - Court Reform
The right to petition is more important than the right to vote. However, Federal judges violate civil rights by deciding cases (petitions) 1) cert denied without opinions, 2) with unpublished opinions, and 3) juries no longer are sole arbiters of law. ... Read more

$2.99 USD or Free with Kobo Plus

The right to petition is more important than the right to vote. However, Federal judges violate civil rights by deciding cases (petitions) 1) cert denied without opinions, 2) with unpublished opinions, and 3) juries no longer are sole arbiters of law.
... Read more
Petition for Certiorari Denied Without Opinion – Patent Case 98-1151

Patent Cases, #12

by James Constant ...

Series Book 12 - Patent Cases
Petition for Certiorari Denied Without Opinion – Patent Case 98-1151.Patent Ownership and Assignment-Conflict of Federal and State Decisions-35 USC 261 ... Read more

$1.99 USD or Free with Kobo Plus

Petition for Certiorari Denied Without Opinion – Patent Case 98-1151.Patent Ownership and Assignment-Conflict of Federal and State Decisions-35 USC 261
... Read more
Speed of Light and Hubble's Law

Gravitation, #32

by James Constant ...

Series Book 32 - Gravitation
In the past, we have had many metaphysical astronomical theories. Today, Hubble's law is the mainstay of modern theories which reasonably explains the Observed Universe. Some theories attempt to explain phenomena of observational astronomy alleged beyond the Observed Universe summarized in Hubble's law. Modern physical cosmology is dominated by the Big Bang metaphysical theory, which attempts to ... Read more

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In the past, we have had many metaphysical astronomical theories. Today, Hubble's law is the mainstay of modern theories which reasonably explains the Observed Universe. Some theories attempt to explain phenomena of observational astronomy alleged beyond the Observed Universe summarized in Hubble's law. Modern physical cosmology is dominated by the Big Bang metaphysical theory, which attempts to
... Read more
Cosmic Ladder Distance Measurements and Big Bang Distance Theory

Astrophysics, #6

by James Constant ...

Series Book 6 - Astrophysics
Cosmic Ladder distance measurements establish the linearity of Hubble's law out to a distance of about 13 bly. However, even with mitigating facts, beyond 13 bly we do not know if the Hubble law line rate increases or decreases beyond its linear line rate, to thereby know if the universe accelerates or decelerates its expansion.The Big Bang theory is an ad hoc theory based on complex mathematics ... Read more

$5.95 USD or Free with Kobo Plus

Cosmic Ladder distance measurements establish the linearity of Hubble's law out to a distance of about 13 bly. However, even with mitigating facts, beyond 13 bly we do not know if the Hubble law line rate increases or decreases beyond its linear line rate, to thereby know if the universe accelerates or decelerates its expansion.The Big Bang theory is an ad hoc theory based on complex mathematics
... Read more
Riemann's Analytic Expression Disproved

Mathematics, #2

by James Constant ...

Series Book 2 - Mathematics
By rearranging terms, Riemann's zeta function ζ(s) can be made to converge or diverge to any value desired. Accordingly, Riemann's analytic extension to interval 0≤x≤1 is irrelevant to determining primes. ... Read more

$5.95 USD or Free with Kobo Plus

By rearranging terms, Riemann's zeta function ζ(s) can be made to converge or diverge to any value desired. Accordingly, Riemann's analytic extension to interval 0≤x≤1 is irrelevant to determining primes.
... Read more
The Multiple Body Problem

Gravitation, #27

by James Constant ...

Series Book 27 - Gravitation
Kepler published in 1609 his empirical laws of planetary motions about the Sun. Kepler's first law says that each planet (or comet) moves on a conic with the Sun as its focus. Newton published in 1687 solutions, called orbits, which have each object moving in a circle, ellipse, parabola or hyperbola thus expanding Kepler's observations. In Newton's solutions two bodies move on two separate conics. ... Read more

$1.99 USD or Free with Kobo Plus

Kepler published in 1609 his empirical laws of planetary motions about the Sun. Kepler's first law says that each planet (or comet) moves on a conic with the Sun as its focus. Newton published in 1687 solutions, called orbits, which have each object moving in a circle, ellipse, parabola or hyperbola thus expanding Kepler's observations. In Newton's solutions two bodies move on two separate conics.
... Read more
Extended Zeta Functions Prove or Dis-prove Riemann's Hypothesis

Mathematics, #3

by James Constant ...

Series Book 3 - Mathematics
While extended zeta functions support investigations of Riemann's hypothesis and estimates for the Prime Number Theorem, some zeta functions offer better prospects for providing easy proofs, or disproofs. In 1859, Riemann had the idea to define Euler's function ε(x)=∑m^x for all complex numbers s=x+iy by analytic extension. This extension is important in number theory and plays a central role in ... Read more

$5.95 USD or Free with Kobo Plus

While extended zeta functions support investigations of Riemann's hypothesis and estimates for the Prime Number Theorem, some zeta functions offer better prospects for providing easy proofs, or disproofs. In 1859, Riemann had the idea to define Euler's function ε(x)=∑m^x for all complex numbers s=x+iy by analytic extension. This extension is important in number theory and plays a central role in
... Read more
Petition for Certiorari Denied Without Opinion – Patent Case 88-308

Patent Cases, #6

by James Constant ...

Series Book 6 - Patent Cases
Petition for Certiorari Denied Without Opinion – Patent Case 88-308. Re-examination of Patents in District Courts. 35 USC 302 et. seq. ... Read more

$0.99 USD or Free with Kobo Plus

Petition for Certiorari Denied Without Opinion – Patent Case 88-308. Re-examination of Patents in District Courts. 35 USC 302 et. seq.
... Read more

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Patent Cases

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Proof of Riemann's Hypothesis

Constant v American Micro-Devices (Supreme Court Patent Morass)

The Domain of Law

Newton's Gravitation and Cosmic Expansion (I. Non-Relativistic)

The Right to Petition And Democracy

Petition for Certiorari Denied Without Opinion – Patent Case 98-1151

Speed of Light and Hubble's Law

Cosmic Ladder Distance Measurements and Big Bang Distance Theory

Riemann's Analytic Expression Disproved

The Multiple Body Problem

Extended Zeta Functions Prove or Dis-prove Riemann's Hypothesis

Petition for Certiorari Denied Without Opinion – Patent Case 88-308

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Top Series in United States

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