How many antisymmetric relations on a set? What is a closed set? What is an axiom in mathematics? Is Modus Ponens in propositional calculus complete? What does completeness mean? What is the intuition of reflexive in a set? When vec u times vec v = 0 and vec u cdot vec v = 0, wh...
If something isn't symmetric does that mean its antisymmetric? Which statement is similar to looking in the mirror and seeing the exact same thing, but backwards? When someone is moving his right hand in the mirror, it looks like he is moving his left hand. A. Reflexive B. Transitive C...
The operation, in this case, is matrix multiplication, namely column times row This is the technical construction. And like any matrix, we can interpret it as a linear function and start with linear algebra. When physicists speak of tensors, they only mean more complicated vector s...
A. = begin{bmatrix}-4 & 8 \20 & 4 end{bmatrix} B. = begin{bmatrix}-1 & 2\5 & 1 end{bmatrix} C. = begin{bm What is the sec(-855^o)? What is the \sqrt{\frac{35}{36? What is the sin(255)? What is antisymmetric? What is the coefficent of n/5? What is cos(2...
Although the system knows that is antisymmetric, > (63) > (64) by default the compotes of do not automatically reflect that, it is necessary to use the simplifier of the Physics package, Simplify. > (65) > (66) Likewise, computing the array form of we do not see the elements...
Define now a tensor that, by construction is antisymmetric, but do not tell the system about that (anti)symmetry property > (192) > (193) At run time, the symmetry property of this definition got noticed and tracked, so that it can be retrieved by all any command that takes symmetr...
A reflexive relation is one where every element is related to itself. A symmetric relation is one where if a is related to b, then b is also related to a. An antisymmetric relation is one where if a is related to b and b is related to a, then a = b. A transitive relation is ...
It is usual in mechanics to decompose a strain matrix into a sum of a symmetric part and antisymmetric part if the strains are small, or into the product of a rotation and a symmetric matrix by polar decomposition if the strains are large. For a single crystal that is free to move ...
Perhaps the most familiar example is the use of the structure group as the range of the dimensional parameter , leading to two types of scalars: symmetric scalars , which are dimensionless (so ), and antisymmetric scalars , which transform according to the law . A function then transforms ...
Define now a tensor that, by construction is antisymmetric, but do not tell the system about that (anti)symmetry property > (192) > (193) At run time, the symmetry property of this definition got noticed and tracked, so that it can be retrieved by all any command that takes symmetr...