Fractal Geometry
The world of mathematics usually tends to be thought of as abstract.
Complex and imaginary numbers, real numbers, logarithms, functions, some
tangible and others imperceivable. But these abstract numbers, simply
symbols that conjure an image, a quantity, in our mind, and complex
equations, take on a new meaning with fractals - a concrete one.
Fractals go from being very simple equations on a piece of paper to
colorful, extraordinary images, and most of all, offer an explanation to
things. The importance of fractal geometry is that it provides an
answer, a comprehension, to nature, the world, and the universe.
Fractals occur in swirls of scum on the surface of moving water, the
jagged edges of mountains, ferns, tree trunks, and canyons. They can be
used to model the growth of cities, detail medical procedures and parts
of the human body, create amazing computer graphics, and compress
digital images. Fractals are about us, and our existence, and they are
present in every mathematical law that governs the universe. Thus,
fractal geometry can be applied to a diverse palette of subjects in
life, and science - the physical, the abstract, and the natural.
We were all astounded by the sudden revelation that the output of a
very simple, two-line generating formula does not have to be a dry and
cold abstraction. When the output was what is now called a fractal,
no one called it artificial... Fractals suddenly broadened the realm
in which understanding can be based on a plain physical basis.
(McGuire, Foreword by Benoit Mandelbrot)
A fractal is a geometric shape that is complex and detailed at every
level of magnification, as well as self-similar. Self-similarity is
something looking the same over all ranges of scale, meaning a small
portion of a fractal can be viewed as a microcosm of the larger fractal.
One of the simplest examples of a fractal is the snowflake. It is
constructed by taking an equilateral triangle, and after many iterations
of adding smaller triangles to increasingly smaller sizes, resulting in
a "snowflake" pattern, sometimes called the von Koch snowflake. The
theoretical result of multiple iterations is the creation of a finite
area with an infinite perimeter, meaning the dimension is
incomprehensible. Fractals, before that word was coined, were simply
considered above mathematical understanding, until experiments were done
in the 1970's by Benoit Mandelbrot, the "father of fractal geometry".
Mandelbrot developed a method that treated fractals as a part of
standard Euclidean geometry, with the dimension of a fractal being an
exponent.
Fractals pack an infinity into "a grain of sand". This infinity appears
when one tries to measure them.
...(191). Tala reveals the answer to Eddie’s question about the little girl at the pier, “ No pull…push,” “Push her legs. No pull. You push. Big thing fall. You keep her safe” (192) and tells him the little girl survived because Eddie sacrificed his life to saved her.
For my book report I chose to read and critique Mitch Albom’s “The Fine People You Meet in Heaven”. Mitch Albom’s story is centered on a character named Eddie. Eddie is a grizzled war veteran who feels like he has led a nothing to show life, and blames most his problems on his father. Unlike most stories ours begins at the end with Eddie’s death. After dying Eddie goes on a journey through heaven and along the way he meets five people that teach him of the impact of things he has done during his life.
McEwen, M., & Wills, E. M. (2002). Theoretical basis for nursing. Philadelphia: Lippincott Williams & Wilkins.
The purpose of this paper is to provide an introduction, purpose, and rational for selecting a nursing theory. I will describe the theory by identifying the purpose, concepts/definitions, relationships/structure, and assumptions. I will use the Chinn & Kramer evaluation criteria to critique this chosen theory. Finally I will describe a plan for implementing the theory into my practice setting, identifying any barriers and challenges.
McEwen, M., & Willis, E. M. (2011). Theoretical Basis for Nursing (3 ed.). Philadelphia, PA: Lippincott.
Providing education to all citizens of the United States is a constitutional right. However we can see that throughout the history of American education, several people were unable or not allowed to receive the same level of education as others. The inequities and injustices for certain cultural subgroups are just as apparent today as they were when Horace Mann established the common schools in attempt to solve the cultural diversity of the time. Ideas about diversity and equity changed the ideology of schools based on national school reform which transformed schools to the contemporary schools of today. However, modern schools face many challenges; to name a few, a lack of funding, institutionalized prejudices, and the failure of differentiating curriculum because of standardized testing.
Tomlinson & Imbeau (2010) believe that there is a strong association between opportunities in life and educational opportunity. However, Tomlinson & Imbeau (2010) argue that people often misconstrued the notion of equal access to education to mean that all students should receive the exact same pacing, resources and instruction in the classroom. Therefore creating a one size fits all education system. More importantly, differentiated instruction recognises that students are not the same and that access to equal education means that given a certain goal, each student should be provided with the resources, instruction and support to facilitate them in meeting that objective (Tomlinson & Imbeau, 2010, p. 12).
Parker, M. E. (2006). Nursing theories and nursing practice (2nd ed.). Philadelphia: F.A. Davis Company.
McEwen, M., & Wills, E.M. (2014). The theoretical basis for nursing. (4th ed). Philadelphia, PA: Wolters Kluwer
Why do we have nursing theories? Well, in the early part of nursing’s history, knowledge was limited. Nursing theories provide a structure for communication between nurses and other health care team. It assist in the discipline of nursing to determines beliefs, values, and goals, and help to contribute to the care of the clients. Because the world of health care is evolving on a daily basis, the field of nursing needs to continue to expand its knowledge. In doing so, the nurses will be able to meet the various needs of their patients. Nurses should continue to work towards protection of their responsibility of caring for patients. Nurses play a vital role in their patients life and performing caring behaviors to help the healing process. This theory focuses on caring about the whole patient and understanding the power of a therapeutic relationship. This theory also introduces ten carative factors which help guide nurses towards caring behaviors. Jean Watson’s theory of caring provide a insight in achieving this goal.
On March 25, 1911, the deadliest industrial fire in Manhattan, New York City history occurred, forever changing the view Americans held regarding factory workers and safety. One-hundred and forty-six workers, primarily young women immigrants, perished when flames overtook the Triangle Shirtwaist factory in New York’s Greenwich Village. Especially on the seventh, eighth, and ninth floors of the Asch building, one would find overcrowded rooms with rows of sewing machines, workers, and their materials. As panicked workers scrambled to find safety from the rising flames, they would soon discover that only one exit door was unlocked; a fire escape apparatus reaching only to the sixth floor.
Equal education has not yet been achieved. Educational reforms and others have helped correct discrimination and inequality, yet small amounts still remain. Despite the current issues affecting equal opportunity in education today, public education strives to provide equal opportunities for all students.
Lynch, K. and Baker, J. (2005) ‘Equality in Education: An Equality Condition Perspective’, Theory and Research in Education, 3(2) 131-164.
It is also important to note that if we construe of resources more broadly, we can amend equality views to encompass factors that adequacy views do. By doing this, we can minimize a perceived gap between equality and adequacy theories. This has implications for education reform and policy making as well.
In conclusion, I want to say that equal funding and equal opportunity plays a key role in students’ lives. Our American Dream is to get a good education, work hard, buy own house and achieve prosperity and success. This American dream will come true only if our government spends equal funding and ensures equality in education for each student. So, students should get qualified teachers and adequate environment to fulfill their dream irrespective of their social class. If students do not get an equal opportunity, it will negatively impact on their education, maybe they can loss their sense of humor and become a wrong person like drug addicts, robbers etc. Lack of qualified teacher and the unhealthy school environment prevents the formation of