Pj Problems - Overview
The Number Line
7 Spaces Of Interest - Overview
Triadic Unit Mesh
States Of Matter
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Faith, Love, Charity
Container A, contains 7 apples. Container B, contains 7 peaches. You are asked to select a fruit from each of the following spaces formed by containers A and B:
(a) A ∪ (A ∩ B)
(b) A ∩ (A ∪ B)
(c) (A - B) ∪ B
What is the maximum number of apples you can select? What is the maximum number of peaches you can select?
Hint: simplify expressions before selecting. A ∪ B (fig. 7.87a) means the set of elements in A or in B or in both (if in both, counted only once). A ∩ B ( fig. 7.87b) means the set of elements in A and in B (elements common to both A and B). A - B (fig. 7.87c) means the set of elements in A but not in B.
S7P6A63 (Multi-Criteria Combination).
Pj Problem of Interest is of type Grouping. There are two groups of fruits (apples and peaches) from which to select. So this is a problem of type multi-criteria grouping.
(a) A ∪ (A ∩ B) = A. This is because there is no element common to both A and B.
So, A ∩ B = 0 and A ∪0 = A.
So, only apples will be selected because the space does not include peaches.
So, maximum number of apples you can select is 7.
(b) A ∩ (A ∪ B) = A. This is because A is the common space.
So, maximum number of apples you can select is 7. No peaches to be selected.
(c) (A - B) ∪ B = A ∪ B.
So, maximum number of apples you can select is 7 and maximum number of peaches you can select is also 7.
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.
Single Variable Functions
Ordinary Differential Equations (ODEs)
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Derivation Of Heat Equation For A One-Dimensional Heat Flow
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
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