scalar invariant वाक्य

उदाहरण वाक्य

1. In the plane, this gives a single scalar invariant, the affine curvature of the curve.
2. Such statement does not hold in higher-dimensions since there are higher-dimensional pp-waves of algebraic type II with non-vanishing polynomial scalar invariants.
3. However, it can also be considered a linear operator acting on bivectors, and as such it has a characteristic polynomial, whose coefficients and roots ( eigenvalues ) are polynomial scalar invariants.
4. Penrose also pointed out that in a pp-wave spacetime, all the polynomial scalar invariants of the Riemann tensor " vanish identically ", yet the curvature is almost never zero.
5. The fact that \ mathbf { U } \ cdot \ mathbf { \ partial } is a Lorentz scalar invariant shows that the total derivative with respect to proper time \ frac { d } { d \ tau } is likewise a Lorentz scalar invariant.
6. The fact that \ mathbf { U } \ cdot \ mathbf { \ partial } is a Lorentz scalar invariant shows that the total derivative with respect to proper time \ frac { d } { d \ tau } is likewise a Lorentz scalar invariant.