Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

The Number Line

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7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

The Atom

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Energy

Light

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Molecular Shapes

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Human-cells

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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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Painting

Calculating Capacity Of Video Adapter Memory Board

Computing devices must output the result of the processing of data input inorder to be useful. In modem computing, the contents displayed on the output screen come from the video adapter board memory (graphics board memory).
**(a)** How much memory should a video adapter board have in order to display 640 x 480 resolution color graphics at 3 bytes per pixel?
**(b)** If 800 x 600 resolution is desired is the memory calculated in (a) sufficient if 3 bytes per pixel is also desired?

**The strings**:
S_{7}P_{1}A_{13} (containership - area).
**The math**:

Pj Problem of Interest is of type *containerdhip* (area).
**(a)** *Rasterization*:partitioning of the screen into horizontal lines called *raster lines* constituted by dots called *pixels* (picture elements) is at the core of color graphics display. In other words, the screen is a rectangular array of pixels. This array of pixel is mapped into the video adapter board memory as *bit-pixel* (each pixel has a variable bit capacity with 1 bit as minimum). The number of bits per pixel is referred to as the *color depth* or *color resolution* and the relation between number of colors and bits per pixel is as follows:

**Number of colors = 2 ^{number of bits per pixel}**. 8 bits = 1 byte.

Information given in problem (a) implies that there is a total of 640 pixels horizontally and 480 pixels vertically.

So, total pixels = 640 x 480 = 307,200 pixels

So, total bytes = 3 x 307, 200 = 921,200 bytes

So, video adapter board needs 1 million bytes = I Mega bytes of memory.

Total bytes at 3 bytes per pixel = 3 x 480,000 = 1,440,000 bytes 1 .44 Mega bytes

So, a 1 Mega-byte video adapter memory is insufficient.

Bytes per pixel have to be reduced to 2 in order to use the video adapter board at 800 x 600 resolution.

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