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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.
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What property remains constant no matter where in the universe a material?
The mass of a material remains constant, no matter where in the universe it is located.
Does m0 depend on velocity?
No, m0, which represents rest mass or invariant mass, does not depend on velocity. It is a fundamental property of an object that remains constant regardless of its speed or motion.
A measure that does not change when an objects location changes?
A measure that does not change when an object's location changes is called an invariant. In physics, examples of location-invariant measures could include mass, charge, or angular momentum. These quantities remain constant regardless of the object's position in space.
Can a nucleus emit alpha particles that have different energies Explain?
Yes, a nucleus can emit alpha particles with different energies due to the differences in the initial energy state of the alpha particle within the nucleus and variations in the nuclear reactions or decay processes involved. These differences can arise from factors such as different levels of excitation of the nucleus or variations in the structure and composition of the parent nucleus.
What is the importance of Laplace transformation?
The Laplace transformation is important in engineering and mathematics because it allows for the analysis and solution of differential equations, including those of linear time-invariant systems. It facilitates the transfer of problems from the time domain to the frequency domain, making complex phenomena more easily understood and analyzed. Additionally, the Laplace transformation provides a powerful tool for solving boundary value problems and understanding system behavior.
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.
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.
What has the author Michael E Lord written?
Michael E Lord has written: 'Validation of an invariant embedding method for Fredholm integral equations' -- subject(s): Invariant imbedding, Numerical solutions, Integral equations
What is invariant point?
a point on a graph where if the graph is transformed the point stays the same.
What is invariant in mathematics?
It is a part of a mathematical object which does not change when the object undergoes a transformation.
What happens to the invariant quantities in special relativity?
It depends on what these invariant quantities are. It is not enough to specify that something is invariant, you also need to specify under which operation these quantities do not change (= are invariant). In special relativity there is an operation called a Lorentz transformation which applies the effects of a speed increase, thus applying time dilatation and length contraction. A Lorentz invariant quantity is a quantity which remains the same under this transformation, i.e. it has the same value for every observer in an inertial frame. Examples of such invariants are the lengths of four-vectors, the generalizations of the common 3-dimensional vectors such as those indicating place and momentum. For example the 3d-vector for location (x,y,z) is joined with another quantity for the time dimension into a 4-vector whose length is Lorentz invariant. There are more Lorentz invariant quantities, some of them quite complex.
Practical example for Time-invariant system?
System whose domain is not in time can be a time invariant system. Ex: taking photo to a fixed object. here domain is not in time so photo wont change with time
