My choice of artwork for this essay is titled Kiwi Series # 1. This painting is made by Dennis Wojtkiewicz in 2005. The size of this painting is 36 by 66 inches. The medium used in this painting is the oil on canvas. I chose this painting because it appeals to my sense of aesthetics and also it has the most interesting use of texture. This painting is an excellent example of our sight being able to activate other senses. The presentation of the translucent fruit and fuzzy skin is so convincing that we have a visual and a tactile reaction and for some, a sensation of taste. The painter has used actual texture in this painting. In this essay, I will talk about the subject matter and then the content. I will also be analyzing each element and principle of design in the painting's composition in an attempt to look at it much more deeply and understand it better.

Kiwi Series # 1 is a painting of a kiwi fruit, which is cut into half. It is placed on a table or some hard surface. The painter has drawn every little detail of the fruit in the painting. The seeds, the internal minor lines in the fruit, and the difference in textures are done with great enthusiasm and passion. This painting makes me calm and relaxed because of the colors used in this painting and also its overall appearance.

The Elements:

There are different kinds of lines used in this painting. The artist has used some curvy lines near the edge and the center of the fruit. Straight lines are also used in this painting. Some lines are thick and some are thin, separating the seeds and the showing the opaqueness of some parts. The painting itself is a rectangle shape. The shape of the fruit is objective. There are many other smaller shapes in the painting. The shape of the seeds is oval. The center of the fruit gives kind of semi-circle look. The row of the seeds looks like a thin petal of a flower. The fruit itself is looking like a semi-circle.

...The Kiwi is the national symbol of New Zealand. The Kiwi covers two thirds of the northern island of New Zealand. Kiwi is also a word to say New Zealanders. They are aggressive and will defend their territory from other kiwis. The Northern Island Brown Kiwi is critically endangered. There are only 2500 left and is also called as the least common kiwi. The brown kiwi prefers dense, sub-tropical and temperate forests.
The Brown Kiwi is known as to be the smallest bird but lays the biggest eggs than all other birds. Kiwis are flightless birds that live in New Zealand. They have dark brown feathers and it looks ugly. It has no tail, and has a long ivory beak. The birds stand up 40cm and weighs for males 4.9 lb and Females 6.2 lb. When the hatchlings have been hatched, in their first week they are able to fend for their selves, since the parents abandon their new born. They feed on invertebrates such as bugs and others. They also eat plants as their diet.
I am wondering why this kind of bird is being endangered while in fact the look is a very unattractive bird, and I don’t think people tend to kill this bird. But then I found out why they been gone, it’s because they live in the ground and cats and dogs can easily find them and catch them cause they cannot fly. They should be taking care of them well so they won’t be endangered anymore. The Kiwi’s...

...Fourier series
From Wikipedia, the free encyclopedia
Fourier transforms
Continuous Fourier transform
Fourier series
Discrete-time Fourier transform
Discrete Fourier transform
Fourier analysis
Related transforms
The first four partial sums of the Fourier series for a square wave
In mathematics, a Fourier series (English pronunciation: /ˈfɔərieɪ/) decomposes periodic functions or periodic signals into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or complex exponentials). The study of Fourier series is a branch of Fourier analysis.
Contents
[hide]
Definition[edit]
In this section, s(x) denotes a function of the real variable x, and s is integrable on an interval [x0, x0 + P], for real numbers x0 and P. We will attempt to represent s in that interval as an infinite sum, or series, of harmonically related sinusoidal functions. Outside the interval, the series is periodic with period P. It follows that if s also has that property, the approximation is valid on the entire real line. The case P = 2π is prominently featured in the literature, presumably because it affords a minor simplification, but at the expense of generality.
For integers N > 0, the following summation is a periodic function with period P:
Using the identities:
Function s(x) (in red) is a sum of six sine functions of different...

...hp calculators
HP 50g Using Taylor Series
The menu LIMITS AND SERIES Practice using Taylor series
hp calculators HP 50g Using Taylor Series The menu LIMITS AND SERIES The menu LIMITS AND SERIES contains commands related to limits. To access it you press !Ö. You are presented then the calculus menu as a CHOOSE box:
Figure 1
Its second menu item is 2.LIMITS AND SERIES... You can use such CHOOSE boxes much like menus of computer applications. You can move the selection using the arrow keys. You can also jump to a certain menu item by typing the first few letters of the command or the number at the left of the menu item. Pressing the `key or the menu key %OK% will execute the selected item. In this CHOOSE box you press 2 to select 2.LIMITS AND SERIES.. and then ` or %OK% to display the menu:
Figure 2
The command DIVPC needs two polynomials and an integer. It returns the increasing power quotient of the two polynomials up to an order indicated by the integer. The command lim takes an algebraic object and an equation of the form variable=expression. It returns the limit of the algebraic expression when the given variable approaches the expression at the right hand side of the equation. The command SERIES needs an algebraic expression, and equation of the form variable=expression, and an integer. It returns a list at stack level 2 and...

...
5a.
When y = sin (1), y = 0.841. Using the Taylor series with two terms, y = 0.830.
When y = sin (5), y = -0.958. Using the Taylor series with two terms, y = - 15.8.
When y = cos (1), y = 0.540. Using the Taylor series with two terms, y= 0.500.
When y = cos (5), y = 0.284. Using the Taylor series with two terms, y = - 11.5.
By using the formula, Percentage Error =
Percentage Error for Taylor series with two terms =
= 1377.18 % ≈ 1380 % (3sf)
5b.
When y = sin (1), y = 0.841. Using the Taylor series with three terms, y = 0.842.
When y = sin (5), y = -0.958. Using the Taylor series with three terms, y = 10.2.
When y = cos (1), y = 0.540. Using the Taylor series with three terms, y = 0.542.
When y = cos (5), y = 0.284. Using the Taylor series with three terms, y = 14.5.
Percentage Error for Taylor series with two terms=
= 1492.80% ≈ 1490% (3sf)
5c.
When y= sin (1), y = 0.841. Using the Taylor series with four terms, y= 0.841.
When y = sin (5), y = -0.958. Using the Taylor series with four terms, y= -5.29.
When y = cos (1), y = 0.540. Using the Taylor series with four terms, y = 0.540.
When y = cos (5), y = 0.284. Using the Taylor series with four terms, y = - 7.15.
Percentage Error for Taylor series with...

...MATH 152 MIDTERM I 02.11.2012 P1 P2 P3 Name&Surname: Student ID: TOTAL
Instructions. Show all your work. Cell phones are strictly forbidden. Exam Duration : 70 min. 1. Show that 1 p n (ln n) n=2 converges if and only if p > 1: Solution: Apply integral test: Z Z
ln R 1 X
R
2
1 p dx x (ln x) p=1 p 6= 1
let ln (x) = u then
ln 2
so that when p = 1 and p < 1 integral diverges by letting R ! 1, so does the series. When p > 1 then integral converges to ! 1 p 1 p 1 p (ln R) (ln 2) (ln 2) lim = , R!1 1 p 1 p 1 p so does the series. 2. (18 pts.) Find the in…nite sum 1 : n (n + 2) n=1 Solution: See that 1 1 = n (n + 2) n 1 n+2
1 X
8 R < ln ujln 2 ln 1 ln R du = 1 p : u p up 1
ln 2
hence 1 n (n + 2) n=1
k X
= =
n=1
1 1 1 1 1 + + + :::: 3 2 4 3 5 1 1 1 1 1 + + + k 2 k k 1 k+1 k 1 1 1 = 1+ + 2 k+1 k+2 1 ! 3 2
k X
1 n
1 n+2
1 k+2
so that
k X 1 1 = lim n (n + 2) k!1 n=1 n (n + 2) n=1
1 X
= lim
k!1
1 1 + k+1 k+2
=
3 2
1
3. (18 pts.) Find the Taylor series for f (x) = ln x at x = 4. Determine its interval of convergence. Solution: Recall that
1 X n
tn
= = =
1 1 t
;
n=0 1 X
jtj < 1 jtj < 1 jtj < 1
( 1) tn
n=0 1 X ( 1)n tn+1 n+1 n=0
1 ; 1+t
ln (1 + t) ;
let x
4 = t then ln (x) = = ln (4 + t) = ln 4 + ln 1 + ln 4 + t 4 = ln 4 + jx
1 X ( 1)n t n+1 4 ; n+1 n=0
t...

...The Balmer series is characterized by the electron transitioning from n ¡Ý 3 to n = 2, where n refers to the radial quantum number or principal quantum number of the electron. The transitions are named sequentially by Greek letter: n = 3 to n = 2 is called H-¦Á, 4 to 2 is H-¦Â, 5 to 2 is H-¦Ã, and 6 to 2 is H-¦Ä. As the spectral lines associated with this series are located in the visible part of the electromagnetic spectrum, these lines are historically referred to as H-alpha, H-beta, H-gamma and H-delta where H is the element hydrogen.
Balmer Series (Second) (visible light) n=2 limit = 365 nm
n = 3, ¦Ë = 656.3 nm, ¦Á, color emitted: red
n = 4, ¦Ë = 486.1 nm, ¦Â, color emitted: bluegreen
n = 5, ¦Ë = 434.1 nm, ¦Ã, color emitted: violet
n = 6, ¦Ë = 410.2 nm, ¦Ä, color emitted: violet
Although physicists were aware of atomic emissions before 1885, they lacked a tool to accurately predict where the spectral lines should appear. The Balmer equation predicts the four visible absorption/emission lines of hydrogen with high accuracy. Balmer's equation led physicists to find the Lyman, Paschen, and Brackett series which predicted other absorption/emission lines found outside the visible spectrum.
The familiar red H-alpha line of hydrogen which is the transition from the shell n=3 to the Balmer series shell n=2 is one of the conspicuous colors of the universe contributing a bright red line to the...

...PART 2 : FOURIER SERIES
Objective :
1. To show that any periodic function (or signal) can be represented as a series of sinusoidal (or complex exponentials) function.
2. To show and to study hot to approximate periodic functions using a finite number of sinusoidal function and run the simulation using MATLAB.
Scope :
In experiment 1, students need to learn using MATLAB by connect it with Fourier series, where students must know how the output changes as higher order terms are added. Students must know to plot the graph. Besides, students must know to add instruction in appropriate line to plot frequencies versus coefficient for each wave form.
Equipment :
MATLAB software.
Experiment 1 : Fourier Series
Generally, student must know the basic concept of Fourier series.
General form :
[pic]
Where :
[pic]
[pic]
For example, x(t) with the highest harmonic value = 2.
[pic]
Task 1 : Simulate Using MATLAB
Procedure :
Table 1 shows coefficient for complex exponential fourier series of half rectified sine wave with A=1, T=1.
|Wave form |Fourier Coefficients |
|Half-rectified sine wave: |[pic] |
Table 2-1 : Complex Exponential Fourier...

...Each individual has his or her own ideas about many things, and there is no exception on the perception of a better life. Perception of a better life is not just about having a luxurious house or expensive car. Someone can be categorized as a successful person if he or she does not just have many expensive things, but also has good social status in society.
To stand out and become well known in the public is certainly not an easy thing to achieve. Someone must have the courage to sacrifice what he or she has in order to get ‘recognition’ in the society. The desire to stand out and become well known can be found in many countries, including an advanced country like America. Americans realize that they live in super power country. Therefore, they begin to raise their prestige in their daily lives. Maintaining the image as a country that has a high prestige is more difficult than to get the image. One way for people who live in America to maintain that image is to look ‘different’ and attractive.
Keeping fit-looking appearance that reflects someone’s personality is essential to maintain the prestige. An expensive and attractive appearance is very important because it is an outside representation for someone, to show to other people that he or she is a person who has a good wealth, even though perhaps, it is not. When appearance becomes a main thing for someone to declare their existence, many people are competing to look attractive and different from others. Expensive...