Variables, Functions and Equations
descriptive geometry: a method of representing three-dimensional objects by projections on fraction: a way of writing rational numbers (numbers that are not whole of graphs (meaning visual representations of data and their relationships. Three-way relationship. Properly known by polyamorists as a triad. Amusingly known by many gay men as a 'thruple.'. Section The Definition of a Function . A function is a relation for which each value from the set the first components of the . Okay, with that out of the way let's get back to the definition of a function and let's look at some.
Negative Versus Positive Relationships Some pairs of variables are related positively. This means that as one variable goes up, the other tends to go up as well. For example, height and weight are positively related because taller people tend to be heavier.
- Relations and functions
Other pairs are negatively related, which means that as one goes down the other tends to go up. For example, gas mileage and the weight of a car are negatively related, because heavier cars tend to get lower mileage.
Glossary of Mathematical Terms - The Story of Mathematics
Linear and Nonlinear Relationships Two variables may be related linearly. This means that a straight line can represent their relationship. For example, the amount of paint needed to paint a wall is linearly related to the area of the wall.
Other relationships cannot be represented by a straight line. These are called nonlinear. For example, the relationship between height and weight in humans is nonlinear, because doubling height usually more than doubles weight. For example, a child may be three feet tall and weigh 50 pounds, but probably no six-foot tall adult weighs only pounds. Quadratic relationships are found in all accelerating objects e. Below is a graph that demostrates the shape of a quadratic equation.
Inverse Square Law The principle in physics that the effect of certain forces, such as light, sound, and gravity, on an object varies by the inverse square of the distance between the object and the source of the force. In physics, an inverse-square law is any physical law stating that a specified physical quantity or intensity is inversely proportional to the square of the distance from the source of that physical quantity.
The fundamental cause for this can be understood as geometric dilution corresponding to point-source radiation into three-dimensional space.
One of the famous inverse square laws relates to the attraction of two masses. Two masses at a given distance place equal and opposite forces of attraction on one another."Thruple" Explains Their Polygamous Lifestyle, Being In A 3-Way Relationship, & More
The magnitude of this force of attraction is given by: The graph of this equation is shown below. More on Brightness and the inverse square law Damping Motion Damping is an influence within or upon an oscillatory system that has the effect of reducing, restricting or preventing its oscillations. In physical systems, damping is produced by processes that dissipate the energy stored in the oscillation.
Examples include viscous drag in mechanical systems, resistance in electronic oscillators, and absorption and scattering of light in optical oscillators. Damping not based on energy loss can be important in other oscillating systems such as those that occur in biological systems.
Sine Wave Relationship The graphs of the sine and cosine functions are sinusoids of different phases. The sine wave or sinusoid is a mathematical curve that describes a smooth repetitive oscillation.
It is named after the function sine, of which it is the graph. Lab Activities and Resources What are Mathematical Relationships What is a mathematical relationship and what are the different types of mathematical relationships that apply to the laboratory exercises in the following activities. What is the relationship between how much a spring stretches and the force pulling on the spring? What is the relationship between the mass of a ball and its volume assuming a constant density?
What is the relationship between the intensity of a beam of light and the distance from a light source?
Variables, Functions and Equations
What is a the relationship between how the distance travels and the time in travel for an accelerating object? What is the relationship between how much light passes through a Polaroid filter and the angle the filter is rotated? What is the relationship between current, voltage when there is a constant resistance in an electric circuit.
Radioactive Decay- - Problem: What is the relationship between the decay of radioactive material and the time allowed for the decay? Water Pressure - - Problem: