Question

Гаусс теоремасы че это ?

Answer 1

Теорема Гаусса (закон Гаусса) — один из основных законов электродинамики, входит в систему уравнений Максвелла. Выражает связь (а именно равенство с точностью до постоянного коэффициента) между потоком напряжённости электрического поля сквозь замкнутую поверхность произвольной формы и алгебраической суммой зарядов, расположенных внутри этой поверхности, деленной на электрическую постоянную ε0. Применяется отдельно для вычисления электростатических полей.

Answer 2

Gauss' Theorema Egregium

Gauss' Theorema Egregium is a fundamental result in differential geometry, discovered by Carl Friedrich Gauss. It is a Latin phrase that translates to "remarkable theorem." This theorem is significant in the study of curved surfaces and their intrinsic geometry.

Gauss' Theorema Egregium states that the Gaussian curvature of a surface can be determined entirely from measurements within the surface itself, without reference to the way the surface is embedded in the ambient space. This means that the Gaussian curvature is an intrinsic property of the surface and is not affected by bending or stretching the surface in three-dimensional space.

Gauss' Theorema Egregium has profound implications in various fields, including cartography, physics, and computer graphics. It forms the basis for understanding the geometry of curved surfaces and has applications in fields such as geodesy, where accurate measurements of the Earth's surface are essential.

The theorem is a key concept in differential geometry and has far-reaching implications in the study of surfaces and their properties.