Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

The Number Line

Geometries

7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

The Atom

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Energy

Light

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Sound

Music

Language

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Molecular Shapes

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Chemical Bonds

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Electromagnetism

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Human-cells

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Nucleic Acids

COHN - Natures Engineering Of The Human Body

The Human-Body Systems

Vision

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Photosynthesis

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Differential Calculus

Antiderivative

Integral Calculus

Economies

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Money Supply

Painting

Cams - The PjProblemStrings

*Cams* are used to change rotary motion to linear or up-and-down motion

(a) Figure 134.1 is an illustration of a cam-driven valve. Explain how the cam help to open and close the valve.

(b) Write the PjProblemStrings at play in the cam-driven valve.

**The strings**:
S_{7}P_{4}A_{41} (Linear Motion).
**The math**:

Pj Problem of Interest is of type *motion* (linear). Cams are used to change rotary motion to linear or up-and-down motion.

(a) The cam in figure 134.1 has an irregular shape with a lobe. It is keyed to the cam shaft and connected to a valve stem by means of a roller. A gear system is used to turn the cam shaft. The cam rotates as the shaft rotates. The valve stem moves up (valve open) when the lobe of the cam is aligned with the valve stem (fig.134.1b). The valve stem moves down (valve closed) when the lobe passes. Thus the rotary motion of the cam is changed to the linear or up-and-down motion of the valve stem.

(b) Assuming a multi-matter-multi-dynamic space (S_{7})

the PjProblemStrings at play are:

S_{7}P_{4}A_{42} - rotary motion of cam

S_{7}P_{4}A_{41} - linear motion of valve stem

S_{7}P_{5}A_{51} - the physical change string representing the alignment of the cam lobe and the valve stem.

So, cam concept in PJProblemStrings: S_{7}P_{4}A_{42} -> S_{7}P_{5}A_{51} -> S_{7}P_{4}A_{41}

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