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Accounting for the Parameters and the Problem with the High-High Term

Philip Isett.

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 1095 words.

This chapter provides a list of all the parameters and summarizes their current status while also discussing the problem with the High–High term. These include the parameters used to...

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Asymptotic Differential Algebra and Model Theory of Transseries

Matthias Aschenbrenner, Lou van den Dries and Joris van der Hoeven.

June 2017; p ublished online October 2017 .

Book. Subjects: Optimisation. 880 pages.

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries...

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Asymptotic Fields and Asymptotic Couples

Matthias Aschenbrenner, Lou van den Dries and Joris van der Hoeven.

in Asymptotic Differential Algebra and Model Theory of Transseries

June 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 34125 words.

This chapter deals with asymptotic differential fields and their asymptotic couples. Asymptotic fields include Rosenlicht's differential-valued fields and share many of their basic...

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Basic Principles

Keith M. Martin.

in Everyday Cryptography

June 2017; p ublished online July 2017 .

Chapter. Subjects: Optimisation; Logic. 18155 words.

This chapter serves as an introduction to the environment in which cryptography finds common use today. We discuss the need for cryptography, as well as the basic language and concepts that...

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Basic Technical Outline

Philip Isett.

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 1936 words.

This chapter provides a more technical outline of the construction, starting with a solution to the Euler-Reynolds system and a correction v₁ = v + V, p₁ = p + P. The correction V is a...

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Bounds for Coefficients from the Stress Equation

Philip Isett.

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 1682 words.

This chapter estimates the bounds for coefficients from the Stress equation. It starts by considering the coefficients γ‎subscript I and the equation that implicitly defines it. It then...

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Bounds for the Corrections

Philip Isett.

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 2258 words.

This chapter derives the bounds for the correction terms, starting with bounds for the velocity correction. Based on V of the form V = Δ‎ x W, it introduces a proposition for estimating the...

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Bounds for the Vector Amplitudes

Philip Isett.

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 2031 words.

This chapter estimates the bounds for the vector amplitudes vsubscript I and wsubscript I of the correction. It first presents the proposition about deriving the estimates for the transport...

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Checking Frequency Energy Levels for the Velocity and Pressure

Philip Isett.

in Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

February 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 383 words.

This chapter checks frequency energy levels for the velocity and pressure. It begins by comparing the different estimates obtained for the corrections to the velocity and the pressure with...

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Closing Remarks

Keith M. Martin.

in Everyday Cryptography

June 2017; p ublished online July 2017 .

Chapter. Subjects: Optimisation; Logic. 664 words.

We have now completed our introduction to everyday cryptography. We have seen that cryptography is essentially a toolkit of mathematical techniques for implementing the core security...

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