Its All about Pj Problem Strings - 7 Spaces Of Interest and their associated Basic Sequences; 7 Pj Problems of Interest (PPI) and their Alleles (A)
I Charlie: From growing up in a farm in America to pioneering and working in Africa...more
One Nation Under What?: A nation is a group of individuals with different identities... more
Selective Freedom: Freedom is the condition of not being controlled by another. The implication here is not that a person is ... more
Ultimate Reality: the awareness of being establishes reality ... more
Incidental Spying: Spying is incidental if the angle of reflection of the reflection of the incidental ray is zero (the incidental being is masked). When the incidental being is unmasked, the angle of incidence equals the angle of reflection and incidental spying becomes deliberate spying.
All is Mathematics: Nature only speaks mathematics within the context of 7 universal concepts (Pj problems). This language is uniform everywhere in the Universe and is ... more
Good Walls Bad Walls: A wall is a barrier that encloses a space. A wall does not have to be visible to the naked eye. The structure of a wall... more
Spying: spying is covert access into a space of interest in order to obtain data (measurement of observations) and information (shared knowledge). The spy (the entity spying)... more
The point "." is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
What is the determinant of the rotation matrix of the following transformation:
T(x, y) = (xcosθ - ysinθ, xsinθ + ycosθ).
What is the matrix of the transformation:
T(x, y) = (-x, -y)?
Identitfy the rigid motions that correspond to the following transformations:
(a) T(x, y) = (x+7, y-7).
(b) T1T2(x, y).
Where T1(x, y) = (x, -y) and T2(x, y) = (y, -x).
(c) T(x, y) = (xcosθ - ysinθ, xsinθ + ycosθ).
Abigail asked Abel to work on the transformation
T(x, y) = (x2, xy). Abel computed T and told Abigail he is not interested in T because it corresponds to a non-rigid motion. What is a non-rigid motion? Is Abel right? Describe the non-rigidity of T.
T is an identity transformation. Vector u = (x, y). What is T(u)?
T is a one-to-one linear transformation from the m-dimensional linear space X into the n-dimensional linear space Y. What is the value of m if n2 = 9?
Problems by Peter O. Sagay