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What is a Zeuthen-Segre invariant?

The Zeuthen-Segre invariant is a numerical invariant of an algebraic surface, denoted by Z(P), where P is a smooth projective surface. It is calculated using the intersection theory of surfaces and is used to distinguish between surfaces in the same deformation class.


What makes a variable a global variable?

a variable that is defined within a block is considered to have local scope, i.e., it is only visible to the block that contains it. Its lifetime is also limited unless it is marked as a 'static' variable, in which case it will exist for the entire length of program execution.


How do you use set and get in object-oriented programming?

A set function (or setter) is an object mutator. You use it to modify a property of an object such that the object's invariant is maintained. If the object has no invariant, a setter is not required. A get function (or getter) is an object accessor. You use it to obtain a property from an object such that the object's invariant is maintained. If the object has no invariant, you do not need a getter.


How do you find the invariant line of a stretch?

To find the invariant line of a stretch, identify the direction in which the stretch occurs. The invariant line is typically the line that remains unchanged during the transformation, often along the axis of the stretch. For example, if stretching occurs along the x-axis, the invariant line would be the y-axis (or any line parallel to it). You can confirm this by observing that points on the invariant line do not change their position under the stretch transformation.


What has the author A B Katok written?

A. B. Katok has written: 'Lectures on surfaces' -- subject(s): Surfaces 'Rigidity in higher rank Abelian group actions' -- subject(s): Rigidity (Geometry), Abelian groups 'Invariant manifolds, entropy, and billiards' -- subject(s): Entropy, Global analysis (Mathematics), Invariant manifolds, Ergodic theory, Differentiable dynamical systems


What are the invariant points of a dilation?

Invariant points of a dilation are the points that remain unchanged under the transformation. In a dilation centered at a point ( C ) with a scale factor ( k ), the invariant point is typically the center ( C ) itself. This means that when a point is dilated with respect to ( C ), it either moves closer to or further away from ( C ), but ( C ) does not move. Therefore, the only invariant point in a dilation is the center of dilation.


Are the property of symmetric and skew symmetric are invariant?

yes


What has the author Andrzej Pelc written?

Andrzej Pelc has written: 'Invariant measures and ideals on discrete groups' -- subject(s): Discrete groups, Ideals (Algebra), Invariant measures


How to know that linear differential equation is time invariant or time variant?

If the coefficients of the linear differential equation are dependent on time, then it is time variant otherwise it is time invariant. E.g: 3 * dx/dt + x = 0 is time invariant 3t * dx/dt + x = 0 is time variant


What German mathematician who did work in invariant theory?

clebsch Hilbert


How can I proof about correctness of Square-and-multiply algorithm?

Using loop invariant.


What is invariant data?

Invariant data is information that remains constant and unchanging despite varying circumstances or conditions. This type of data is often used as a reference point or baseline for comparison in various analyses or applications.