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

PjProblemsStrings Sequences Of Adenosine Triphosphate Supply Chains

Any *being* has at least one *basic need* at *creation*. These *basic needs* are *natural demands* of the *being*. *Natural demands* must be met by *supply chains*. In other words, *natural demands* and the *supply chains* that meet them are existential imperatives necessary for the maintenance of existential equilibrium. Over time, humans have created various *demands* beyond those incorporated in them at creation. Consequently, there exist various *supply chains*. However, most human *supply chains* cater to humans' *natural demands* and *mutants* of the demands.
*Supply chains* are at the heart of existence and they are configurations of *PjProblemStrings Sequences*.

(a) Name two primary *natural demands* required by living things on earth and indicate the *supply chains* for the demands.

(bi) Identify two primary *supply chains* in the human body and indicate the demands they meet.

(ii) Identify the *forces* and the *motions* of the PjProblemStrings Sequences of the *supply chains*.

(ci) *Land ports*, *sea ports*, *air ports* (and in the future, *space ports*) are *supply chains*. Indicate the demands they meet.

(ii) Which of the seven types of *PjProblemStrings Sequences* are commonly seen at airports? Which types are rarely seen?

(di) Figure 177 is a sketch of part of the *supply chains* of the super market with H as headquarters, D1 and D2 as depot, D11, D12, D13, D21, D22, D23 as individual stores. B is the supermarket's bank that links H to banks network. Why is it easy to see in figure 177 that H is the head office (or headquarters)?

(ii) What part of the *supply chains* is not included in figure 177?

(e) Communication with one another was an early human desire. Over the years, humans have created complex *communication supply chains*. What *force* is always present in any human communication supply chains?

(f) *Demand* goes to * supply* or *supply* goes to *demand*. Both scenarios are present amongs humans. Indicate scenarios when the former movement is preferable.

(gi) *Google Search* is a variant of the *offload* scenario. Explain.

(ii) What type of PjProblemStrings Sequence are the displayed results of a *Google search*?

**The strings**:
S_{7}P_{3}A_{3k} (force -k =1, 2), S_{7}P_{4}A_{4k} (motion- k =1, 2, 3,4).
**The math**:

All Pj Problems are at play. However, Pj Problems of Interest are of types *force* and *motion*.

**(a)** Heat and water. The sun's rays and the water cycle.
**(bi)** The most basic need of humans is *survival*. Space awareness (provided by human senses) and energy (made possible by the use of oxygen and nutrients) make survival possible. Consequently, The *nervous system* and the *circulatory system* are two primary supply chains in the human body. The circulatory system supplies the oxygen and nutrients the body needs, the nervous system supplies the space awareness the body needs.
**(ii)** Circlutory system: the pump action of the heart (characterized by the contraction and relaxation of the heart muscles) and osmotic pressure differential between capillary fluid and cellular fluid provide the initial and terminal forces that *sandwich* the motion of blood flow.

Nervous system: a communication network of nerves (cylindrical bundles of signal-carrying-cells. The brain supplies the *algorithm* that sends to and fro pulses of electricity between the brain and points of need in the network, analyzes the communication and determines appropriate actions.
**(ci)** Travel and the movement of goods.
**(ii)** *Queueing PjProblemStrings Sequences* (passengers que, airplanes que, luggages que); *Stand-alone PjProblemStrings Sequences* (individual movements by passengers and airport personnel, airplanes taxing); * Replacement PjProblemStrings Sequences* (at the gate waiting area, passengers of a given flight board and are replaced by passengers of the next flight); *Linked PjProblemStrings Sequences* (passengers pushing or pulling their luggages, luggage carts taking luggages to the airplane, airplanes been towed to the taxing lane, families traveling together); *Collision PjProblemStrings Sequences* (loved ones hugging and kissing). Non-affectionate collisions are rare especially on the tarmac.
**(di)**H is the space most able to access different spaces in the network.
**(ii)** Producer supply chains.
**(e)** *Algorithm*. No algorithm, no communication even in primitive communications.
**(f)** *Supply* is more likely to go to *demand* if it is more efficient to move the substance demanded than to move the demander. For example, it is more efficient to send the sun's rays and rain to earth than to move earth to the sun or the clouds.
*Demand* is more likely to go to *supply* if it is more efficient to move the demander to the substance demanded. For example, it is more efficient to send passengers to aiports than to move airports to passengers.
**(gi)** The *offload scenario* is the case whereby a force pulls some substance from one space and moves the substance to another space. Usually *pull-push* forces *sandwich* the motion. For example, a crane offloading the cargos from a cargo ship.

In the case of a typical *Google search* the *algorithm* is the force. Content is *pulled* from a Google server, moved through a network and *pushed* on a webpage displayed by the browser.
**(ii)** The results displayed are *Queueing PjProblemStrings Sequences* (assuming the search results are ranked and sorted).

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