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PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. TWO SOURCE WAVE INTERFERENCE 2D Basic operation: The 'S', 'M', and 'L' (small, medium, large) radio buttons control the size of the waves.; The 'Switch phase' button controls the phase of the sources. Directly to its right is a label that describes the current phase of the sources. The demo starts out with the sources in phase. INTERSECTION OF TWO PARABOLAS Setting the two y-coordinates equal to each other creates this equation: 1.5x 2 - 9x + 11.5 = -0.2x 2 - 0.4x + 2.8. Now, we do some algebra to find the x-coordinates at the points of intersection: This is where we start. Subtract 1.5x 2 from each side. Add 9x to each side. Subtract 11.5 from each side. RATIONAL FUNCTION TRANSFORM OF F(X) = 1/X Transform of f(x) = 1/x. Back Rational Functions Function Institute Mathematics Contents Index Home. This program demonstrates several transforms of the function f(x) = 1/x. You can assign different values to a, b, h, and k and watch how these changes affect the shape of thegraph.
SLOPE, AREA OF KINEMATICS GRAPHS Slopes and Areas of the Kinematics Graphs. Back Kinematics Mechanics Physics Contents Index Home. The slopes and areas of of the three kinematics graphs (x vs. t, v vs. t, and a vs. t) have meanings which are important to understand. The following links take you to explanations of these meanings. The slopes have meanings, click these links to read more:. Slope of the x vs. t graph is velocity. PARABOLA, VERTICAL TRANSLATION Parabola, Vertical Translation. Back Function Institute Mathematics Contents Index Home. Vertical translation for the parabola is changed by the value of a variable, k, that is added into the calculation for y after x is squared. ENERGY | ZONA LAND EDUCATION Energy is defined as the ability to do work. Work is defined as the transfer of energy. The picture above shows water rushing downstream during a flood. The water is said to possess kinetic energy since it is moving. It gets this energy because it is falling through a gravitational field. EFFECTIVE ANNUAL RATE Effective Annual Rate. Back Math Contents Index Home. Explanation. The effective annual rate is a value used to compare different interest plans. If two plans were being compared, the interest plan with the higher effective annual rate would be considered the better plan.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. TWO SOURCE WAVE INTERFERENCE 2D Basic operation: The 'S', 'M', and 'L' (small, medium, large) radio buttons control the size of the waves.; The 'Switch phase' button controls the phase of the sources. Directly to its right is a label that describes the current phase of the sources. The demo starts out with the sources in phase. INTERSECTION OF TWO PARABOLAS Setting the two y-coordinates equal to each other creates this equation: 1.5x 2 - 9x + 11.5 = -0.2x 2 - 0.4x + 2.8. Now, we do some algebra to find the x-coordinates at the points of intersection: This is where we start. Subtract 1.5x 2 from each side. Add 9x to each side. Subtract 11.5 from each side. RATIONAL FUNCTION TRANSFORM OF F(X) = 1/X Transform of f(x) = 1/x. Back Rational Functions Function Institute Mathematics Contents Index Home. This program demonstrates several transforms of the function f(x) = 1/x. You can assign different values to a, b, h, and k and watch how these changes affect the shape of thegraph.
SLOPE, AREA OF KINEMATICS GRAPHS Slopes and Areas of the Kinematics Graphs. Back Kinematics Mechanics Physics Contents Index Home. The slopes and areas of of the three kinematics graphs (x vs. t, v vs. t, and a vs. t) have meanings which are important to understand. The following links take you to explanations of these meanings. The slopes have meanings, click these links to read more:. Slope of the x vs. t graph is velocity. PARABOLA, VERTICAL TRANSLATION Parabola, Vertical Translation. Back Function Institute Mathematics Contents Index Home. Vertical translation for the parabola is changed by the value of a variable, k, that is added into the calculation for y after x is squared. ENERGY | ZONA LAND EDUCATION Energy is defined as the ability to do work. Work is defined as the transfer of energy. The picture above shows water rushing downstream during a flood. The water is said to possess kinetic energy since it is moving. It gets this energy because it is falling through a gravitational field. EFFECTIVE ANNUAL RATE Effective Annual Rate. Back Math Contents Index Home. Explanation. The effective annual rate is a value used to compare different interest plans. If two plans were being compared, the interest plan with the higher effective annual rate would be considered the better plan.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. PHYSICS | ZONA LAND EDUCATION Welcome to the Physics Department of Zona Land Education. Here most of the material you will find relates to classical physics regarding motion and forces, to waves, and to light ray optics. The above animation shows an object bouncing around within the bounds of a box. The animation is programed to mimic gravity, it is a projectile motionTYPES OF NUMBERS
A Complex Numbers is a combination of a real number and an imaginary number in the form a + bi. The real part is a, and b is called the imaginary part. Examples include 4 + 6i, 2 + (-5)i, (often written as 2 - 5i), 3.2 + 0i, and 0 + 2i. Note the last two examples: 3.2 + 0i is just the real number 3.2. All real numbers are complex numbers with ENERGY | ZONA LAND EDUCATION Energy is defined as the ability to do work. Work is defined as the transfer of energy. The picture above shows water rushing downstream during a flood. The water is said to possess kinetic energy since it is moving. It gets this energy because it is falling through a gravitational field. WEIGHT | ZONA LAND EDUCATION Weight. Back Forces Mechanics Physics Math Contents Index Home. Weight is the pull of gravity. An object placed near the surface of Earth experiences the pull downward of gravity. This pull, or force, is called the weight of the object.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. PROJECTILE MOTION, GENERAL SOLUTION What follows is a general solution for the two dimensional motion of an object thrown in a gravitational field. This is usually termed a projectile motion problem. The thrown object is called the projectile. Its path is called the trajectory. We will answer all the usual questions that arise in a first year physics class regarding thismotion.
INERTIAL FRAME OF REFERENCE An inertial frame of reference is a frame of reference in which Newton's laws of motion hold. In an inertial frame of reference no fictitious forces arise. Consider the act of juggling, a definite demonstration of Newton's laws of motion. It is just as easy (or just as difficult) to juggle balls in a room which is standing still as itis to
LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line. MOMENTUM EQUATIONS, TWO BODY, STICK TOGETHER Introductory Momentum Equations, Two Body, Stick Together. Back Momentum Impulse Change in momentum Two body: Setup Stick together Push apart Forces Mechanics Physics Contents Index Home. Stick Together Problem. Suppose that one object is moving along at constant velocity, and it strikes a stationary object such that the two objects stick together after the collision and, effectively, move asPHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. TWO SOURCE WAVE INTERFERENCE 2D Basic operation: The 'S', 'M', and 'L' (small, medium, large) radio buttons control the size of the waves.; The 'Switch phase' button controls the phase of the sources. Directly to its right is a label that describes the current phase of the sources. The demo starts out with the sources in phase. INTERSECTION OF TWO PARABOLAS Setting the two y-coordinates equal to each other creates this equation: 1.5x 2 - 9x + 11.5 = -0.2x 2 - 0.4x + 2.8. Now, we do some algebra to find the x-coordinates at the points of intersection: This is where we start. Subtract 1.5x 2 from each side. Add 9x to each side. Subtract 11.5 from each side. RATIONAL FUNCTION TRANSFORM OF F(X) = 1/X Transform of f(x) = 1/x. Back Rational Functions Function Institute Mathematics Contents Index Home. This program demonstrates several transforms of the function f(x) = 1/x. You can assign different values to a, b, h, and k and watch how these changes affect the shape of thegraph.
PARABOLA, VERTICAL TRANSLATION Parabola, Vertical Translation. Back Function Institute Mathematics Contents Index Home. Vertical translation for the parabola is changed by the value of a variable, k, that is added into the calculation for y after x is squared. CHANGES OF PHASE, HEAT, TEMPERATURE Heat, which is energy, either comes into the material during a change of phase or heat comes out of the material during this change. However, although the heat content of the material changes, the temperature does not. Here are the five changes of phase. They are diagrammed in the opening animation and listed below. Description ofPhase Change.
LIGHT REFRACTION
The ray of light which travels into the refracted, or second, medium and leaves the interface is called the reflected ray. A line perpendicular to the surface is imagined at the point of refraction. This line is called a normal. In this context the word normal means perpendicular. In the above diagram the normal is EFFECTIVE ANNUAL RATE Effective Annual Rate. Back Math Contents Index Home. Explanation. The effective annual rate is a value used to compare different interest plans. If two plans were being compared, the interest plan with the higher effective annual rate would be considered the better plan.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. SPRING POTENTIAL ENERGY (ELASTIC POTENTIAL ENERGY) It is the potential energy of the spring. This area can be calculated. It is shaped like a triangle; so, its area is one half times its height times its base. We have: Area under graph = (0.5) (F) (x) This area is the energy stored in the spring. The symbol for the energy stored in the spring could be U s.PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. TWO SOURCE WAVE INTERFERENCE 2D Basic operation: The 'S', 'M', and 'L' (small, medium, large) radio buttons control the size of the waves.; The 'Switch phase' button controls the phase of the sources. Directly to its right is a label that describes the current phase of the sources. The demo starts out with the sources in phase. INTERSECTION OF TWO PARABOLAS Setting the two y-coordinates equal to each other creates this equation: 1.5x 2 - 9x + 11.5 = -0.2x 2 - 0.4x + 2.8. Now, we do some algebra to find the x-coordinates at the points of intersection: This is where we start. Subtract 1.5x 2 from each side. Add 9x to each side. Subtract 11.5 from each side. RATIONAL FUNCTION TRANSFORM OF F(X) = 1/X Transform of f(x) = 1/x. Back Rational Functions Function Institute Mathematics Contents Index Home. This program demonstrates several transforms of the function f(x) = 1/x. You can assign different values to a, b, h, and k and watch how these changes affect the shape of thegraph.
PARABOLA, VERTICAL TRANSLATION Parabola, Vertical Translation. Back Function Institute Mathematics Contents Index Home. Vertical translation for the parabola is changed by the value of a variable, k, that is added into the calculation for y after x is squared. CHANGES OF PHASE, HEAT, TEMPERATURE Heat, which is energy, either comes into the material during a change of phase or heat comes out of the material during this change. However, although the heat content of the material changes, the temperature does not. Here are the five changes of phase. They are diagrammed in the opening animation and listed below. Description ofPhase Change.
LIGHT REFRACTION
The ray of light which travels into the refracted, or second, medium and leaves the interface is called the reflected ray. A line perpendicular to the surface is imagined at the point of refraction. This line is called a normal. In this context the word normal means perpendicular. In the above diagram the normal is EFFECTIVE ANNUAL RATE Effective Annual Rate. Back Math Contents Index Home. Explanation. The effective annual rate is a value used to compare different interest plans. If two plans were being compared, the interest plan with the higher effective annual rate would be considered the better plan.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. SPRING POTENTIAL ENERGY (ELASTIC POTENTIAL ENERGY) It is the potential energy of the spring. This area can be calculated. It is shaped like a triangle; so, its area is one half times its height times its base. We have: Area under graph = (0.5) (F) (x) This area is the energy stored in the spring. The symbol for the energy stored in the spring could be U s. CHANGES OF PHASE, HEAT, TEMPERATURE Heat, which is energy, either comes into the material during a change of phase or heat comes out of the material during this change. However, although the heat content of the material changes, the temperature does not. Here are the five changes of phase. They are diagrammed in the opening animation and listed below. Description ofPhase Change.
LINEAR FUNCTIONS AND EQUATIONS Linear Functions and Equations. Linear functions are functions that have x as the input variable, and x has an exponent of only 1. Such functions look like the ones in the graphic to the left. Notice that x has an exponent of 1 in each equation. Functions such as these yieldgraphs that
LINEAR FUNCTION, GENERAL FORM Above is a program that will help you visualize how changing the values for the variables A, B, and C will affect the graph of the equation y = (-A/B)x + (-C/B).At first the program will be automatically cycling through several values for A, B, and C.If you want to use the sliders to control it yourself, just press the 'YouControl' button.
FACTOR CHANGE
Factor changes are multiplications. To understand factor change, think about it this way: 3 times 4 equals 12. So, times 4 is the multiplier that changes the 3 quarts into 12 quarts. We say, therefore, that the volume changed by a factor of 4. As we shall see next, the above mathematics shows a factor change SLOPE, AREA OF KINEMATICS GRAPHS Slopes and Areas of the Kinematics Graphs. Back Kinematics Mechanics Physics Contents Index Home. The slopes and areas of of the three kinematics graphs (x vs. t, v vs. t, and a vs. t) have meanings which are important to understand. The following links take you to explanations of these meanings. The slopes have meanings, click these links to read more:. Slope of the x vs. t graph is velocity.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. MOMENTUM EQUATIONS, TWO BODY, STICK TOGETHER Introductory Momentum Equations, Two Body, Stick Together. Back Momentum Impulse Change in momentum Two body: Setup Stick together Push apart Forces Mechanics Physics Contents Index Home. Stick Together Problem. Suppose that one object is moving along at constant velocity, and it strikes a stationary object such that the two objects stick together after the collision and, effectively, move as INERTIAL FRAME OF REFERENCE An inertial frame of reference is a frame of reference in which Newton's laws of motion hold. In an inertial frame of reference no fictitious forces arise. Consider the act of juggling, a definite demonstration of Newton's laws of motion. It is just as easy (or just as difficult) to juggle balls in a room which is standing still as itis to
LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line. SPRING POTENTIAL ENERGY (ELASTIC POTENTIAL ENERGY) It is the potential energy of the spring. This area can be calculated. It is shaped like a triangle; so, its area is one half times its height times its base. We have: Area under graph = (0.5) (F) (x) This area is the energy stored in the spring. The symbol for the energy stored in the spring could be U s.PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. TWO SOURCE WAVE INTERFERENCE 2D Basic operation: The 'S', 'M', and 'L' (small, medium, large) radio buttons control the size of the waves.; The 'Switch phase' button controls the phase of the sources. Directly to its right is a label that describes the current phase of the sources. The demo starts out with the sources in phase. INTERSECTION OF TWO PARABOLAS Setting the two y-coordinates equal to each other creates this equation: 1.5x 2 - 9x + 11.5 = -0.2x 2 - 0.4x + 2.8. Now, we do some algebra to find the x-coordinates at the points of intersection: This is where we start. Subtract 1.5x 2 from each side. Add 9x to each side. Subtract 11.5 from each side. RATIONAL FUNCTION TRANSFORM OF F(X) = 1/X Transform of f(x) = 1/x. Back Rational Functions Function Institute Mathematics Contents Index Home. This program demonstrates several transforms of the function f(x) = 1/x. You can assign different values to a, b, h, and k and watch how these changes affect the shape of thegraph.
PARABOLA, VERTICAL TRANSLATION Parabola, Vertical Translation. Back Function Institute Mathematics Contents Index Home. Vertical translation for the parabola is changed by the value of a variable, k, that is added into the calculation for y after x is squared. ENERGY | ZONA LAND EDUCATION Energy is defined as the ability to do work. Work is defined as the transfer of energy. The picture above shows water rushing downstream during a flood. The water is said to possess kinetic energy since it is moving. It gets this energy because it is falling through a gravitational field. EFFECTIVE ANNUAL RATE Effective Annual Rate. Back Math Contents Index Home. Explanation. The effective annual rate is a value used to compare different interest plans. If two plans were being compared, the interest plan with the higher effective annual rate would be considered the better plan. PROJECTILE MOTION, GENERAL SOLUTION What follows is a general solution for the two dimensional motion of an object thrown in a gravitational field. This is usually termed a projectile motion problem. The thrown object is called the projectile. Its path is called the trajectory. We will answer all the usual questions that arise in a first year physics class regarding thismotion.
POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. TWO SOURCE WAVE INTERFERENCE 2D Basic operation: The 'S', 'M', and 'L' (small, medium, large) radio buttons control the size of the waves.; The 'Switch phase' button controls the phase of the sources. Directly to its right is a label that describes the current phase of the sources. The demo starts out with the sources in phase. INTERSECTION OF TWO PARABOLAS Setting the two y-coordinates equal to each other creates this equation: 1.5x 2 - 9x + 11.5 = -0.2x 2 - 0.4x + 2.8. Now, we do some algebra to find the x-coordinates at the points of intersection: This is where we start. Subtract 1.5x 2 from each side. Add 9x to each side. Subtract 11.5 from each side. RATIONAL FUNCTION TRANSFORM OF F(X) = 1/X Transform of f(x) = 1/x. Back Rational Functions Function Institute Mathematics Contents Index Home. This program demonstrates several transforms of the function f(x) = 1/x. You can assign different values to a, b, h, and k and watch how these changes affect the shape of thegraph.
PARABOLA, VERTICAL TRANSLATION Parabola, Vertical Translation. Back Function Institute Mathematics Contents Index Home. Vertical translation for the parabola is changed by the value of a variable, k, that is added into the calculation for y after x is squared. ENERGY | ZONA LAND EDUCATION Energy is defined as the ability to do work. Work is defined as the transfer of energy. The picture above shows water rushing downstream during a flood. The water is said to possess kinetic energy since it is moving. It gets this energy because it is falling through a gravitational field. EFFECTIVE ANNUAL RATE Effective Annual Rate. Back Math Contents Index Home. Explanation. The effective annual rate is a value used to compare different interest plans. If two plans were being compared, the interest plan with the higher effective annual rate would be considered the better plan. PROJECTILE MOTION, GENERAL SOLUTION What follows is a general solution for the two dimensional motion of an object thrown in a gravitational field. This is usually termed a projectile motion problem. The thrown object is called the projectile. Its path is called the trajectory. We will answer all the usual questions that arise in a first year physics class regarding thismotion.
POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.PHYSICS, MATH HOME
Zona Land Education now has a programing language. The language is called EZ Math Movie. It is an animated graph paper flipbook application. You can control the drawings on the graph paper using commands from a programing language named EZ Math Movie. PHYSICS | ZONA LAND EDUCATION Welcome to the Physics Department of Zona Land Education. Here most of the material you will find relates to classical physics regarding motion and forces, to waves, and to light ray optics. The above animation shows an object bouncing around within the bounds of a box. The animation is programed to mimic gravity, it is a projectile motion ENERGY | ZONA LAND EDUCATION Energy is defined as the ability to do work. Work is defined as the transfer of energy. The picture above shows water rushing downstream during a flood. The water is said to possess kinetic energy since it is moving. It gets this energy because it is falling through a gravitational field.POSITION VS. TIME
It is common to use the variable x to hold the value for the position coordinate. The object's position is the value of x. So, the position number line is the x number line. INERTIAL FRAME OF REFERENCE An inertial frame of reference is a frame of reference in which Newton's laws of motion hold. In an inertial frame of reference no fictitious forces arise. Consider the act of juggling, a definite demonstration of Newton's laws of motion. It is just as easy (or just as difficult) to juggle balls in a room which is standing still as itis to
NON-INERTIAL FRAME OF REFERENCE Non-inertial Frame of Reference 1. Back Mechanics Physics Contents Index Home. A non-inertial frame of reference is a coordinate system which is accelerating. That is, its velocity vector is not constant. So, it is either changing its speed by speeding up or slowing down, or it is changing its direction by traveling in a curved path, or it is both changing its speed and changing its direction. LINEAR FUNCTIONS AND EQUATIONS, POINT-SLOPE FORM The formula y - y1 = m (x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line. MOMENTUM EQUATIONS, TWO BODY, STICK TOGETHER Introductory Momentum Equations, Two Body, Stick Together. Back Momentum Impulse Change in momentum Two body: Setup Stick together Push apart Forces Mechanics Physics Contents Index Home. Stick Together Problem. Suppose that one object is moving along at constant velocity, and it strikes a stationary object such that the two objects stick together after the collision and, effectively, move as STANDING WAVES, MEDIUM FIXED AT BOTH ENDS Standing Waves, Medium Fixed At Both Ends. Here is an animation showing the standing wave patterns that are produced on a medium such as a string on a musical instrument. This type of medium is said to be fixed at both ends. That means is is held motionless at both ends. You can select which harmonics, 1st, 2nd, 3rd, 4th, or 5th, which you want SPRING POTENTIAL ENERGY (ELASTIC POTENTIAL ENERGY) It is the potential energy of the spring. This area can be calculated. It is shaped like a triangle; so, its area is one half times its height times its base. We have: Area under graph = (0.5) (F) (x) This area is the energy stored in the spring. The symbol for the energy stored in the spring could be U s. MORE MATHEMATICS THAN SCIENCE Back Science ContentsIndex Home
Expression Evaluation The Function Institute The Geometry SectionGraph Paper
Miscellaneous Mathematics The Trigonometry RealmsCurve Fitting
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