Posts Tagged ‘time’
Friday, October 30th, 2009
How to Solve Work Rate Problems
Description
A detailed tutorial on solving work rate problems. Step by step tutorial including several examples of work rate problems for reference.
Overview
A work rate problem is a word problems that asks you to calculate the amount of time it will take to do something with two different rates of work. They first show up in basic algebra courses but work rate problems get more complicated and will continue on even in calculus. It is easier to solve work rate problems if you use a chart. First, you need to find the task rate – the rate at which each person is doing something. You do this by dividing the number of tasks (which should be one) by how many hours it takes them to finish it. Then you choose a variable for time. Your task will take that variable divided by the number of hours. You should come up with 2 (or more) results for task. Add these results together and have them equal the number of people there are total working on the task. Then solve for your time variable. Sometimes it will be difficult to solve for the time variable without using an algebra trick of multiplication to change the numbers a bit.
Tags: add, algebra, calculate, Calculus, chart, divide, hours, problem, proportion, rate, task, time, variable, word, work
Posted in Algebra | No Comments »
Friday, October 30th, 2009
How to Solve Lorentz Transformations
Description
A detailed tutorial on Lorentz transformations. Step by step tutorial including several examples of Lorentz transformations for reference.
Overview
A Lorentz transformation is a way of describing how two different measurements of space and time can be converted into one frame of reference. This is because it was discovered that people who are moving at different velocities will report different times of certain events, or even a different order of events. The speed or velocity at which they are moving will throw things off. So by using a Lorentz transformation, you can get two different accounts to match up. Typically, a Lorentz transformation is a linear transformation.
Tags: algebra, events, frame, linear, Lorentz, measurement, order, reference, space, speed, time, transformation, velocity
Posted in Algebra | No Comments »
Tuesday, October 27th, 2009
Introduction to Minkowski Space
Description
A detailed tutorial of the application of Minkowski space. Step by step tutorial including several examples of Minkowski space for reference.
Overview
Minkowski space, sometimes referred to as Minkowski spacetime, is the setting in which Einstein’s theory of relativity was formed. Three ordinary dimensions of space are combined with a single dimension of time. This makes Minkowski space a four-dimensional manifold for representing spacetime. Minkowski space is often contrasted with Euclidean space because they are the same, except that Euclidean space has no dimension of time, and Minkowski space does.
Tags: algebra, dimension, Einstein, Euclidean, manifold, Minkowski, relativity, space, spacetime, theory, time
Posted in Algebra | No Comments »
Tuesday, October 13th, 2009
Introduction to Present Value
Description
A detailed tutorial on solving for the present value. Step by step tutorial including several examples of solving for the present value for reference.
Overview
Present value is the value on a given date of a future payment or series of future payments. It is typically discounted to reflect the time value of money, and sometimes other factors. Because of this, the main calculation for present value is simply the calculation for the time value of money. The time value of money can be found by using the compund interest formula, which can be mathematically expressed as 
. This is equal to the present value.
Tags: algebra, calculation, compound, formula, interest, investment, Math, money, present, risk, time, value
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Mathematical Application of the Queueing Theory
Description
A detailed tutorial on the queueing theory. Step by step tutorial including several examples of the queueing theory for reference.
Overview
The queueing theory is the study of waiting lines – from a mathematical point of view. Because of this, it is sometimes called the waiting-line theory. It is the mathematical process of arriving at the back of the line, waiting in the line, and getting to the front of the line. We should be familiar with this – it happens every time we go out shopping. But by using the queueing theory, you will be able to tell how long you will be stuck in that line for – instead of waiting to find out! In a mathematical sense, you will be able to figure out the probability of how many people are waiting in line, and how long you will be waiting in line.
Tags: algebra, line, Math, mathematical, probability, queue, queueing, queuing, theory, time, waiting
Posted in Algebra | No Comments »
Tuesday, October 6th, 2009
Fourier Transforms Explained
Description
A detailed tutorial on Fourier transforms. Step by step tutorial including several examples of Fourier transforms for reference.
Overview
A Fourier transform is an operation that transforms one complex-valued function of a real variable into another. The domain of the original function is typically referred to as the time domain, because it is a representation of time. The domain of the new function represetns frequency. The Fourier transform itself is often called the frequency domain representation of the original function because of this.
Tags: complex, differential equations, domain, Fourier, frequency, function, Math, Physics, real, Science, time, tranform, value, variable
Posted in Differential Equations | No Comments »
Tuesday, September 22nd, 2009
How to Solve the Helmholtz Equation
Description
A detailed tutorial on the visual representation of the Helmholtz Equation. Step by step tutorial including several examples of the visual representation of the Helmholtz Equation for reference.
Overview
The Helmholtz Equation is an elliptic partial differential equation, which can be used to calculate waves. It is similar to the wave and heat equations in that manner, but the formula is very different. The formula can be expressed as 
where k is the wavenumber and A is the amplitude. The Helmholtz Equation is often used for problems involving partial differential equations in both space and time.
Tags: amplitude, elliptic, helmholtz, helmholtz equation, partial differential equations, Physics, Science, space, time, wavenumber, waves
Posted in Differential Equations | No Comments »
Friday, September 18th, 2009
How to Solve Telegrapher’s Equations
Description
A detailed tutorial on the solving of Telegrapher’s Equations. Step by step tutorial including several examples of how to solve Telegrapher’s Equations for reference.
Overview
Telegrapher’s Equations, sometimes referred to simply as telegraph equations, are a pair of differential equations which meausre the voltage and current on a transmission line with regard to distance and time. An example would be a telegraph, hence the name. Instead of having an actual set of equations, Telegrapher’s Equations tend to more oftenbe expressed as a schematic, with the equations only being used for things such as loops and transmissions.
Tags: attenuation constant, differential equations, distance, loops, magnetic field, pair, phase constant, Physics, primary line constants, propagation constant, Science, telegraph, telegraph equations, telegrapher's equations, time, transmission
Posted in Differential Equations | No Comments »
