Contents

1. Riemannian space. Recognition of formulas (structures) of riemannian manifolds by a neural network
2. INTRODUCTION
3. RIEM ANNIAN GEOMETRY. A BROAD CONCEPT OF SPACE
4. METRIC OF RIEMANN SPACES. FOLLOW IN THE FOOTSTEPS OF RIEMANN AND EINSTEIN
5. TYPES OF RELATIONS IN RIEMANN GEOMETRY. TOPOLOGY AND RIEMANN SPACES (GEOMETRY AND CONNECTIONS)
6. DIFFERENTIATION AS A METHOD OF PENETRATION INTO THE ESSENCE OF MANIFOLDS. THE ESSENCE OF PROCESSES IN THE NEURAL NETWORK
7. SUMMARY

RIEMANNIAN SPACE. RECOGNITION OF FORMULAS (STRUCTURES) OF RIEMANNIAN MANIFOLDS BY A NEURAL NETWORK