Table of Links Abstract and 1 Introduction 2 Background 3 On the slow growth law 4 Members of Deep Π0 1 classes 5 Strong depth is Negligible 6 Variants of Strong Depth References Appendix A. Proof of Lemma 3 By Lemma 3, we can conclude that X is order-deep. One immediate consequence of Theorem 9 is the following. The converse of this result does not hold. As an immediate consequence of Theorem 9 and the above results from [BP16], we have: Next, we have: This paper is available on arxiv under CC BY 4.0 DEED license. Authors:
(1) Laurent Bienvenu;
(2) Christopher P. Porter. Table of Links Abstract and 1 Introduction Abstract and 1 Introduction 2 Background 2 Background 3 On the slow growth law 3 On the slow growth law 4 Members of Deep Π0 1 classes 4 Members of Deep Π0 1 classes 5 Strong depth is Negligible 5 Strong depth is Negligible 6 Variants of Strong Depth 6 Variants of Strong Depth References References Appendix A. Proof of Lemma 3 Appendix A. Proof of Lemma 3 By Lemma 3, we can conclude that X is order-deep. One immediate consequence of Theorem 9 is the following. The converse of this result does not hold. As an immediate consequence of Theorem 9 and the above results from [BP16], we have: Next, we have: This paper is available on arxiv under CC BY 4.0 DEED license. This paper is available on arxiv under CC BY 4.0 DEED license. available on arxiv Authors: (1) Laurent Bienvenu; (2) Christopher P. Porter. Authors: Authors: (1) Laurent Bienvenu; (2) Christopher P. Porter.

Part of HackerNoon's growing list of open-source research papers, promoting free access to academic material.

Bridging Computational Notions of Depth: Here's Why Strong Depth is Negligible

Here's Proof of the Slow Growth Law and Some  Unobserved Consequences

Computational.TECH

Too Long; Didn't Read

Make resilience your competitive advantage

Bridging Computational Notions of Depth: Members of Deep Classes

About Author

Comments

TOPICS

THIS ARTICLE WAS FEATURED IN

Related Stories

Untitled Story

Spatial-Photonic Ising Machines and the Next Era of Computing

Bank Discount.

Beneath this mask is Data — Part 1 (or how to make lemonade)

Calculating the Square Root of a Number using the Newton-Raphson Method [A How To Guide]

Effective Parallel Computing

Spatial-Photonic Ising Machines and the Next Era of Computing

Bank Discount.

Beneath this mask is Data — Part 1 (or how to make lemonade)

Calculating the Square Root of a Number using the Newton-Raphson Method [A How To Guide]

Effective Parallel Computing

Light-Mode

Classic

Newspaper

Dark-Mode

Neon Noir

Minty

HN StartUps