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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.
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 is invariant in mathematics?
It is a part of a mathematical object which does not change when the object undergoes a transformation.
What is invariant about the angles of a quadrilateral?
they all add to 360 degrees and opposite angles are the same
What is averaging principle?
In a perturbed system, writing the equations of motion in a form where the contribution of fast variables is replaced by their average on the corresponding invariant torus.
How do you determine the invariant point in a transformation of a relation?
the invarient point is the points of the graph that is unaltered by the transformation. If point (5,0) stays as (5,0) after a transformation than it is a invariant point The above just defines an invariant point... Here's a method for finding them: If the transformation M is represented by a square matrix with n rows and n columns, write the equation; Mx=x Where M is your transformation, and x is a matrix of order nx1 (n rows, 1 column) that consists of unknowns (could be a, b, c, d,.. ). Then just multiply out and you'll get n simultaneous equations, whichever values of a, b, c, d,... satisfy these are the invariant points of the transformation
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 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.
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.
What has the author Alexandre Bruttin written?
Alexandre Bruttin has written: 'Sur une transformation continue et l'existence d'un point invariant' -- subject(s): Transformations (Mathematics)
Are the property of symmetric and skew symmetric are invariant?
yes
What is monotectic invariant reaction?
A monotectic invariant reaction is a type of phase transformation in a system where three phases coexist at a specific temperature and composition. During this reaction, a liquid phase transforms into two different solid phases simultaneously. The system reaches equilibrium at the monotectic point where all three phases are in equilibrium.
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 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
