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

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Sound

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Language

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Human-cells

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COHN - Natures Engineering Of The Human Body

The Human-Body Systems

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Differential Calculus

Antiderivative

Integral Calculus

Economies

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Painting

Gaussian Lens Equation

Figure 114.4 is an illustration of the rays from an object being refracted by a convex lens with left radius of curvature R_{1}, right radius of curvature R_{2} and focal length f.

(a) Express the focal length f, in terms of the radii of curvature and the refractive indices of the lens and the medium through which the refracted light travels.

(b) Calculate the distance of the image from the lens in terms of the distance of the object from the lens and the focal length of the lens

(c) Calculate the height of the image in terms of the height of the object, the distance of the object from the lens and the distance of the image from the lens.

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

Pj Problem of Interest is of type *motion* (linear). Reflection, refraction and diffraction are consequences of the motion of light.

The Gaussian Lens Equation:
**1/d _{o} + 1/d_{i} = (n_{lens}/n_{medium} - 1)(1/R_{1} +1/R_{2}) = 1/f** -------(1)

Where d

d

n

n

R

f is focal length.

(a) From equation (1):

1/f = (n

= [(n

So,

(b)From equation (1):

1/d

So, 1/d

So,

(c) h

h

By the similarity of the triangles formed by the height of object and the height of image:

h

So,

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

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