Mathematical modeling is commonly used to predict the
behavior of phenomena in the environment. Basically,
it involves analyzing a set of points from given data
by plotting them, finding a line of "best fit" through
these points, and then using the resulting graph to
evaluate any given point. Models are useful in
hypothesizing the future behavior of populations,
investments, businesses, and many other things that
are characterized by fluctuations. A mathematical
model usually describes a system by a set of variables
and equations which form the basis of the
relationships between the variables.

The variables represent independent and dependent
properties of the system. Models are classified in a
variety of ways. One of these ways is "linear versus
nonlinear." A linear model is any system whose
behavior can be explained or predicted using a linear
equation or an entire set of linear equations. On the
other hand, a nonlinear model uses at least one
nonlinear equation to describe its behavior. Models
may also be classed as either deterministic or
probabilistic. A deterministic model always performs
the same way under a given set of initially occurring
conditions, while a probabilistic model is
characterized by randomness. Another way of evaluating
models is to determine whether it is static or
dynamic. Static models do not account for time, while
dynamic models do take this element into
consideration. In calculus, dynamic models are often
represented using differential equations. Finally,
models can have lumped parameters or distributed
parameters. A model with lumped parameters has a
consistent state throughout the system and are said to
be homogenous. A model with distributed parameters has
a changing state throughout the system. It is said to
be heterogeneous.

Another way of understanding models is to figure out
if the given model is a "white box" or a "black box"
model. White box models are constructed with all...

...Wait! I already know what you’re thinking. It’s too early in the morning to be listening to speeches. What if I told you that my speech is about fame? Fortune? And endless hours of admiration? No I’m not talking about being a garbage man, I’m talking about modeling. (NARRATIVE)
B.) Today we will learn about the job of a model.
C.) I’ve been doing research on this subject for about 3 weeks so when I say I know exactly what it takes to become a model, I’m not playing around.
D.) The three areas we will discuss are
1.) Competition/coworkers
2.) The benefits of being a model
3.) and the nature of work a model has.
II.) Body
A.) First we will discuss the competition and the coworkers of the modeling career.
1.) According to the U.S Bureau of Labor Statistics, a model’s career depends on the preservation of his or her physical characteristics. (FACT)
a. So models must be able to control their diet, exercise regularly, and get sleep in order to stay healthy. Haircuts manicures, pedicures and necessary work related expenses for models. (EXAMPLE)
2.) If you’re less than 5’9, you’ll find it hard to find a job in modeling. This is because designers make the clothes for taller people. According to TellmeHow.net, most mainstream agencies are looking for slim models with good bone structure,...

...Mathematical Models
Contents
Definition of Mathematical Model Types of Variables The MathematicalModeling Cycle Classification of Models
2
Definitions of Mathematical Model
Mathematicalmodeling is the process of creating a mathematical representation of some phenomenon in order to gain a better understanding of that phenomenon. It is a process that attempts to match observation with symbolic statement. A mathematical model uses mathematical language to describe a system. Building a model involves a trade-off between simplicity and accuracy. The success of a model depends on how easily it can be used and how accurate are its predictions.
3
Types of Variables
A mathematical model usually describes a system by a set of variables and a set of equations that establish relationships between the variables. The variables represent some properties of the system. There are four basic groups of variables:
– – – – Input variables Parameters Random variables Decision variables (output variables)
4
The MathematicalModeling Cycle
Simplify Real World Problem
Interpret
Mathematical Model
Program
Conclusions Simulate
Computer Software
5
The MathematicalModeling Cycle
1. Identify and understand the problem, draw...

...Mathematical logic is something that has been around for a very long time. Centuries Ago Greek and other logicians tried to make sense out of mathematical proofs. As time went on other people tried to do the same thing but using only symbols and variables. But I will get into detail about that a little later. There is also something called set theory, which is related with this. In mathematical logic a lot of terms are used such as axiom and proofs. A lot of things in math can be proven, but there are still some things that will probably always remain theories or ideas.
Mathematical Logic is something that has a very long history behind it. It has been debated on for many centuries. If someone were to divide mathematical logic into groups they would get two major groups. Both groups are very long. One is called "The history of formal deduction" and it goes all the way back to Aristotle and Euclid and other people who lived at that time. The other is "the history of mathematical analysis" which goes back to the times of Archimedes, who was in the same era as Aristotle and Euclid. These to groups or streams were separate for a long time until Newton invented Calculus, which brought Math and logic together.
Somebody who studies mathematical logic and gives his or her own concepts about it is called a logician. Some well known logicians include Boole and Frege. They were...

...Modeling and Simulation
A Simulation is the imitation of the operation of a real-world process or system over time. It involves the generation of an artificial history of a system and observation of the artificial history to draw inferences concerning the operating characteristics of the real system. Simulation can be used both as an analysis tool for predicting the effect of changes to existing systems and as a design tool to predict performance of new systems under varying sets of circumstances
Advantages of Simulation:
1- Choose correctly.
2- Time compression and expansion
3- Explore possibilities.
4- Diagnose problems.
5- Identify constraints.
6- Develop understanding.
7- Visualize the plan.
8- Prepare for change.
9- Wise investments.
10- Specify requirements.
Disadvantages of simulation:
1. Model building requires special training. It is an art that is learned over time and through experience.
2. Simulation results can be difficult to interpret.
3. Simulation modeling and analysis can be time consuming and expensive.
When Simulation is the appropriate Tool?
1. When you want to study the internal interactions of a complex system.
2. If you want to observe the effect of the informational, organizational and environmental changes on the model’s behavior.
3. The knowledge gained during the designing of a simulation model could be a great value toward suggesting improvement in...

...Mathematics Modeling
Introduction
Mathematics finds its root way back more than 5000 years. Mathematics has helped people solve complex problems, represent different problems and transfer knowledge and skill about the different problems. Mathematical models have often being developed to solve and represent these problems especially in natural sciences and engineering disciplines (Arnold 2000). Mathematical models can be defined as amathematical language that would describe the behavior of a system or rather a problem. Mathematicalmodeling can be done to develop scientific understanding, test a system for change and help in making decision (Anon 2005).
Urban Population change
The urban population change represents one of the most important aspects that define a city. The household composition and their nature differentiate the urban population from that in the area. Urban population is growing much faster than the population as a whole. It is prospected that, in the next century, more than half the population will be living in the urban centers. The changes of the population have shaped the cities to function as social, economic and cultural centers. The urban population growth has been witnessed more in the developing countries especially in Africa and Asia continents. The large change in urban population can be attributed to the industrial revolution. Rural to urban migration...

...I'm here to ask you one question, “Do you think that girls under 16 should be banned from fashion modeling?”
In some countries the ban has already taken place because of the many health concerns related, I think the ban, in many ways, appropriate.
These young girls are not portrayed to be the young girls they are, instead they are being made to look like older adult women.
In 2007 Maddison Gabriel, a 12-year-old Queensland schoolgirl, was selected to be the face of Gold Coasts Fashion Week.
The issue in sparked a lot of controversy within Australia, The Prime Minister reasoned that we need to preserve some notion of innocence in our society and he is outraged those girls as young as 12 are being portrayed in this way.
Using very young girls as fashion models is inappropriate in my eyes. It encourages anorexia, health risks, sexualisation of children and it damages the body image of what is expected of an adult woman.
It has been claimed that many of the young girls chosen to model are being employed because they have so called “adult body types”. But just because they look as though they’re an adult, doesn’t make them one! Mrs Gabriel, Maddison Gabriel’s mother, commented that she is trying to get her teenage daughters to act older. ACT OLDER! SHE’S 12!!!! What happened to such a thing as childhood? There needs to be a limit on what age should and shouldn’t be allowed to participate in modelling...

...ABSTRACT
MATEL, PABLO B., Reading Comprehension and Mathematical Problem-Solving Skills of Fourth Year High School Students of Tagaytay City Science National High School, SY 2013 – 2014. Master’s Thesis. Master of Arts in Education major in Mathematics Cavite State University, Indang, Cavite. Octber 2013. Adviser: Dr. Constancia G. Cueno.
This study determined the relation between reading comprehension skills and mathematical problem-solving skills of fourth year high school students of Tagaytay City Science National High School. Specifically, the study aimed to: describe the profile of the students in terms of age, gender, birth order, parents’ educational attainment, parents’ occupation, and monthly family income; determine the level of reading comprehension skills of the students; determine the level of mathematical problem-solving skills of the students; determine the significant differences in the students’ reading comprehension skills when grouped according to age, gender, birth order, parents’ educational attainment, parents’ occupation, and monthly family income; determine the significant differences in the students’ mathematical problem-solving skills when grouped according to age, gender, birth order, parents’ educational attainment, parents’ occupation, and monthly family income; and determine the significant relationship between students’ reading comprehension skills and...

...Financial Modeling Discipline – Guiding Principles
A good financial analyst has the discipline of adhering to a list of guiding principles to help ensure that the development of the financial model achieves the desired results.
By following these simple steps, a financial analyst should be able to build a financial model that is simple, accurate and most importantly consistent, to help build confidence in a financial decision making process.
FinancialModeling Discipline can be acquired in all 3 stages of the financial modeling process:
• Specification Stage
• Design Stage
• Build Stage
Specification Stage
1. Be very clear on the effort involved and the dependencies before committing to deadlines - the financial modeling exercise is usually on the critical path!
2. Get the algebra right — make sure all revenues, cash flow inwards and assets are positive while expenses, cash outflows and liabilities are negative. This will ensure that we rarely use the minus sign in formulae and can use the sum() function.
3. Avoid all calculations that will cause circular references.
Design Stage
1. Ensure that each assumption is input only once in a financial model.
2. Define scenario variables clearly in a separate “Scenario manager” section or worksheet in the financial model.
3. Define the time unit that is to be used consistently throughout the financial model.
4. Group all...