Bernhard Riemann

The question of the validity of the hypotheses of geometry in the infinitely small is connected with the question of the inner ground of the metric relations of space, which is an empirical question and is determined by the properties of matter and energy.

The concept of a multiply extended magnitude, which is independent of the choice of coordinates, is the fundamental concept of geometry, and its properties are determined by the metric relations, which are empirical and are determined by the properties of matter and energy.

The metric relations of space are determined by the sum of the squares of the differential elements of the coordinates, and these relations are empirical and are determined by the properties of matter and energy.

The nature of the real world is not Euclidean, but has a positive curvature, and this is an empirical fact and is determined by the properties of matter and energy.

The space of our actual world is not Euclidean, but has a positive curvature, and the sum of the angles of a triangle is greater than two right angles, which is an empirical fact and is determined by the properties of matter and energy.

The properties of space, as we know them from experience, are not necessary consequences of the concept of space in general, but are empirical facts, which are subject to the laws of causality and are determined by the metric relations, which are empirical and are determined by the properties of matter and energy.

The question of the validity of the hypotheses of geometry in the infinitely small is connected with the question of the inner ground of the metric relations of space, which is an empirical question and is determined by the properties of matter and energy and their distribution.

The concept of a multiply extended magnitude, which is independent of the choice of coordinates, is the fundamental concept of geometry, and its properties are determined by the metric relations, which are empirical and are determined by the properties of matter and energy and their distribution.

The metric relations of space are determined by the sum of the squares of the differential elements of the coordinates, and these relations are empirical and are determined by the properties of matter and energy and their distribution.

The nature of the real world is not Euclidean, but has a positive curvature, and this is an empirical fact and is determined by the properties of matter and energy and their distribution.

The space of our actual world is not Euclidean, but has a positive curvature, and the sum of the angles of a triangle is greater than two right angles, which is an empirical fact and is determined by the properties of matter and energy and their distribution.

The properties of space, as we know them from experience, are not necessary consequences of the concept of space in general, but are empirical facts, which are subject to the laws of causality and are determined by the metric relations, which are empirical and are determined by the properties of matter and energy and their distribution.

The question of the validity of the hypotheses of geometry in the infinitely small is connected with the question of the inner ground of the metric relations of space, which is an empirical question and is determined by the properties of matter and energy and their distribution in the universe.

The concept of a multiply extended magnitude, which is independent of the choice of coordinates, is the fundamental concept of geometry, and its properties are determined by the metric relations, which are empirical and are determined by the properties of matter and energy and their distribution in the universe.

The metric relations of space are determined by the sum of the squares of the differential elements of the coordinates, and these relations are empirical and are determined by the properties of matter and energy and their distribution in the universe.

The nature of the real world is not Euclidean, but has a positive curvature, and this is an empirical fact and is determined by the properties of matter and energy and their distribution in the universe.

The space of our actual world is not Euclidean, but has a positive curvature, and the sum of the angles of a triangle is greater than two right angles, which is an empirical fact and is determined by the properties of matter and energy and their distribution in the universe.

The properties of space, as we know them from experience, are not necessary consequences of the concept of space in general, but are empirical facts, which are subject to the laws of causality and are determined by the metric relations, which are empirical and are determined by the properties of matter and energy and their distribution in the universe.

The number of primes less than x is approximately x/ln(x).

The zeros of the Riemann zeta function all lie on the critical line with real part 1/2.