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

Digging Air - The PjProblemStrings

Land, water and air. A lot of *digging* going on. All three have dual traits: they are both destroyers and benefactors.
**(a)** Earth's atmosphere is what is called *air*. Briefly highlight the origin of Earth's *air*.
**(b)** Do you agree that *air* is the least resistive to *digging* when compared to land and water **(c)** Give at least one example of how *air as a destroyer* is manifested by *digging air*.
**(d)** Give at least one example of how *air as a benefactor* is manifested by *digging air*.
**(e)** The illustration shows a bird flying. Indicate the PjProblemstrings Sequence for the flight.
**(f)** In Digging Earth, and Digging Water, the following PjProblemStrings Sequence represented a simple digging of earth (lithosphere) by a bulldozer and bailing water:

S_{7}P_{1}A_{17}S_{7}P_{2}A_{21}S_{7}P_{3}A_{32}S_{7}P_{3}A_{31}S_{7}P_{4}A_{41}S_{7}P_{4}A_{42}S_{7}P_{4}A_{42}S_{7}P_{4}A_{41}

Some PjProblem Strings not directly influencing the digging are implied. For example, the equlibrium of the operator and the bulldozer, the grouping/interaction and equilibrium of the earth dumped.

Identify a similar simple digging of air? How does the pjproblemstrings sequences of this simple digging of air differ from the simple digging of earth and the simple digging of water?
**(g)** What is the primary difference between the simple digging of air and the simple digging of earth (lithosphere) and the simple digging of water represented by the PjProblemStrings Sequence indicated in problem (f)?
**(h)** What is the difference between buoyancy and the *digging of air*?
**(i)** Explain the correctness or incorrectness of the following assertion: *every movement in air is digging*
**(j)** Why must living things *dig*?

**The strings**: all PjProblems are at play. However, S_{7}P_{3}A_{32} (*force - push*) and S_{7}P_{3}A_{31} (*force - pull*) are in focus.

In Digging Earth and Digging Water, the following proposition was presented:

In general, *all exertions of forces on matter are diggings*. The visibility or invisibility of the *digging impressions* depends on the *severity* of the force and the *strength* of the material.

This proposition is also the conceptual basis for *digging air*.
**(a)** Precise knowledge of how the Universe came to be is unavailable. What is available is a shifting best estimate based on continual deterministic information.

- Gases (H and He) were the first stable elements to emerge in the early universe. After the formation of celestial stars it became possible for higher elements to emerge through fusion in the stars and their explosions.

-By the time Earth formed about four and a half billion years ago, there was already an atmosphere of a mixture of gases. The ironic inner core of Earth and its magnetic influence provided the attractive force that stabilized the gaseous mixture (air) that constitute Earth's atmosphere. Today air is about 78% nitrogen, 21% oxygen and fractional percentages of argon, carbon dioxide, water vapor, etc.
**(b)** Yes. Less dense.
**(c)** Hurricane - S_{7}P_{3}A_{32} (*force - push*)
**(d)** Breathing - S_{7}P_{3}A_{31} (*force - pull*) and S_{7}P_{3}A_{32} (*force - push*)
**(e)**

S_{7}P_{1}A_{17} - location of point of takeoff

S_{7}P_{2}A_{21} - identity of bird

S_{7}P_{3}A_{32} - force - push (thrust)

S_{7}P_{4}A_{41} - motion - linear
br>S_{7}P_{3}A_{32} - force - push (lift)

S_{7}P_{4}A_{41} - motion - linear

S_{7}P_{7}A_{72} - dynamic equilibrium

So, PjProblemStrings Sequence: S_{7}P_{1}A_{17}S_{7}P_{2}A_{21}S_{7}P_{3}A_{32} S_{7}P_{4}A_{41}

S_{7}P_{3}A_{32}S_{7}P_{4}A_{41} S_{7}P_{7}A_{72}
**(f)** suction of air. It primarily a *pull* action whereas the other two simple diggings are a combination of a *push* and *pull* actions.
**(g)** simple digging of earth by the bulldozer: visible non-transient impression (hole), invisible wave.

Simple digging of water (bailing): visible wave transient impression.

Simple digging of water (suction): invisible wave invisible impression
**(h)** *Buoyancy* is *digging* with constraint:

The weight of the volume of air dug by the object immersed in air (weight of air displaced) must be equal to the *buoyant force* (Archimede's principle).
**(i)** True. Same proposition as in *digging earth* and *digging water*.
**(j)** Living things dig to survive. For example, trees must *dig air* to receive the sunlight necessary for photosynthesis; humans must *dig air* to breathe. Survival digging also occur on land and in water. For example, trees *dig earth* to reach the water they need and they *dig water* they reach it. Humans *dig earth* to plant and they *dig water* to replenish their supply.

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