Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

The Number Line

Geometries

7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

The Atom

Survival

Energy

Light

Heat

Sound

Music

Language

Stories

Work

States Of Matter

Buoyancy

Nuclear Reactions

Molecular Shapes

Electron Configurations

Chemical Bonds

Energy Conversion

Chemical Reactions

Electromagnetism

Continuity

Growth

Human-cells

Proteins

Nucleic Acids

COHN - Natures Engineering Of The Human Body

The Human-Body Systems

Vision

Walking

Behaviors

Sensors Sensings

Beauty

Faith, Love, Charity

Photosynthesis

Weather

Systems

Algorithms

Tools

Networks

Search

Differential Calculus

Antiderivative

Integral Calculus

Economies

Inflation

Markets

Money Supply

Painting

The Pigments Of An Object Determines Its Color

"Come here Tee. Since you know light, explain to me in simple terms, how pigments determine the color of an object". Said Tee's mom. "Ok mom". Said Tee, a sharp 7 year old.

Describe Tee's explanation.

**The strings**:
S_{7}P_{2}A_{21} (Identity - Physical Property)
**The math**:

Pj Problem of Interest is of type *identity* (physical property). *Color* is a property of matter that is used to identify matter.

*Visible light* is a continuous spectrum of light (red, orange, yellow, green, blue, indigo, violet). Each component of light in the visible light spectrum has its characteristic color associated with its unique wavelength. The color of light, range from red to violet in decreasing magnitude of wavelength (increasing magnitude of frequency). There is an infinite number of light colors in the visible light spectrum. Fortunately, any of these colors can be derived from the mixing in approriate proportions, of only three light colors: *red*,
*green* and *blue* (figure 22.5a).
Consequently, the colors red, green and blue (rgb) are called *primary colors*.

Light that strikes matter can be *transmitted*, *absorbed* or *reflected*. The matter is *transparent* if it transmits light readily (e.g. water, air, glass). The matter is *translucent* if it scatters the light it transmits (e.g.wax paper, frosted glass). The matter is *opaque* if it does not transmit light (e.g. a sheet of metal, block of wood, black cloth). The color of an *opaque* object is the color of the light it reflects. This is because the light absorbed by the object is in the object and does not reach the eyes. When all the colors of the visible spectrum are reflected, the eyes perceive the color white. When all the colors of the visible spectrum are absorbed, the eyes perceive the color black.
*Pigments* are substances that selectively absorb visible light of certain wavelengths. A pigment absorbs at least one color of light out of the visible spectrum of light that strike it. The light not absorbed are reflected and they determine the pigments color. There are natural pigments (e.g. chlorophyll in the green leaves of plants and haeme in blood) and synthetic pigments. Readily available pigments are mostly compounds of metal (e.g. titanium oxide, iron oxide, chromium oxide). The number of colors absorbed by pigments can be increased by the successive mixing of pigments. This in essence reduces the number of colors from the visible spectrum available for reflection. Pigments of various colors can be produced from pigment mixing. The primary pigments are *cyan*, *magenta* and *yellow* (figure 22.5b) and when mixed in equal amounts, results in black because the mix absorbs all colors.

All objects contain pigments. So, when visible light strikes an object, the light reflected will depend on the light absorbed by the pigments. Since the color of an object is the color of the reflected light, the color of an object is a result of the pigments it contains.

Math

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.

Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring

Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle

Derivation Of The Area Of An Ellipse

Derivation Of Volume Of A Cylinder

Derivation Of Volume Of A Sphere

Derivation Of Volume Of A Cone

Derivation Of Volume Of A Torus

Derivation Of Volume Of A Paraboloid

Volume Obtained By Revolving The Curve y = x^{2} About The X Axis

Single Variable Functions

Absolute Value Functions

Conics

Real Numbers

Vector Spaces

Equation Of The Ascent Path Of An Airplane

Calculating Capacity Of A Video Adapter Board Memory

Probability Density Functions

Boolean Algebra - Logic Functions

Ordinary Differential Equations (ODEs)

Infinite Sequences And Series

Introduction To Group Theory

Advanced Calculus - Partial Derivatives

Advanced Calculus - General Charateristics Of Partial Differential Equations

Advanced Calculus - Jacobians

Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables

Advanced Calculus - Fourier Series

Advanced Calculus - Multiple Integrals

Production Schedule That Maximizes Profit Given Constraint Equation

Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition

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.

Periodic Table

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

More Pj Problem Strings