Relevance of Multilateralism in Australia Essay

Relevance of Multilateralism in Australia - Essay Example Multilateralism fosters the importance of equality in nations worldwide, and this is significant to Australia because it assists the in improving the security of the country. The greatest security hazard to Australia and the world is terrorism, which is gravely opposed by multilateralism. Economic excellence of Australia has been prejudiced by multilateralism that has seen the country work together with other states to coalesce and exchange brilliant ideas. Strong multilateralism recommendations have assisted in solving the global challenges. Hence, multilateralism is a significant aspect in Australia, since it promotes tranquility and growth in nationalized development. Importance of regional multilateralism institutions (APEC, ARF, ASEAN +3, EAS) to Australia The regional multilateralism institutions were founded to promote geopolitics and economy of the countries involved. Australia has benefitted immensely through this association in dissimilar ways such as accelerated the econom ic expansion to country through making it stable throughout the decades. It has also promoted the cultural and social interaction with other countries, especially those that are members of APEC. Peaceful agreements have been met through the existence of the association in when disputes arises. The regional multilateralism organizations have assisted in defining the boundaries disputes between the member states. This has been achieved through holding conferences where they make deliberations on their problems. APEC promotes unanimity between the Asian Pacific States as evidenced in the organizational objectives (Malik, 2007). EAS is the newest formed multilateralism organization, which its main goal is to foster strategic dialogue between members. The institution also promotes joint effort between the member States such as alleviating national disasters. ARF assists in protecting the right of a state to grow economically without facing a threat from other state. Australian Relation w ith the bodies The Australian association with these bodies is decisive to the conduct of Australian regional diplomacy to the multilateralism institutions, since it allows free interface with other neighboring states. 2. Australian-Malaysian relation in the post- Mahathir era The Australian-Malaysian relation in the post-Mahathir era has faced many challenges. The history of the poor relation between the two countries began when Mahathir Muhammad became the prime minister of Malaysia. His administration came up with many government projects that improved the infrastructure of the country and increased the employment opportunities to the Malaysian citizens. The relationship was appalling, because Mahathir’s governance was against the western political interests and financial policies, and this was the main reason why the relationship was critical. There was a lot of mix-up between the two countries, negatively affecting their economic ties. The countries have poor security co operation that poses a solemn threat in promoting communism between the countries (Lopez, 2009). Although the relationship has improved appreciably, the two countries have to interrelate often to foster unity between the countries.

Media and National Identity. What particular significance do media Assignment

Media and National Identity. What particular significance do media systems have for the construction of national identities - Assignment Example Experts have been debating for a long period about the role that media plays in the creation and promotion of national identity. The paper briefly discusses the question and examines the possibility that whether or not the sense of national identity could exist in the absence of media. In the process, the paper will start with defining the concepts and terms of â€Å"nation† and â€Å"national identity†. Discussion According to the Oxford dictionary, the concept of Nation could be defined as a â€Å"large body of people united by common descent, history, culture, or language, inhabiting a particular state or territory† (Martin-Jones, 2006). On the other hand, the Cambridge dictionary believes that nation can be defined as â€Å"an independent country, especially when thought of as consisting of a single large group of people all sharing the same language, traditions and history† (Inthorn, 2007). One of the most important and influential ideas presented in an attempt to define nation was put forward by the French philosopher Ernest Renan in the year 1882 with his book â€Å"Qu'est-ce qu'une nation? ("What is a Nation?"). ... tion has its roots in the desire of the people to â€Å"avoir fait de grandes choses ensemble, vouloir en faire encore" (having done great things together and wishing to do more) (Dornfeld, 1998). Like the definition of nation, national identity is also a disputed and debated concept with little disagreements amongst the experts and writers. Some have rejected the existence of such a concept and they label it as fallacy or illusion for the masses created by the governments and the people in power to exert their force. This allows them to maintain the status quo and thus their position in the society (Price, 1995). As John Pilger writes about the concept of national identity that â€Å"National identity ... becomes ... the often elegant collection of images that the government (or a series of interest groups) manufactures or encourages to keep itself in power" (McCauley, Peterson, & Artz, 2003). Price (2004) believes that the concept of national identity can be defined with three di fferent models or approaches, which are instrumental, essential, and pluralistic models. The instrumental model implies that national identity is â€Å"the collection of myths, ideas, and narratives used by a dominant group or coalition to maintain power in society†. The essential model believes that the American-ness, Scottish-ness, British-ness, Russian-ness, and others have their roots in the national identities and more importantly, all of them have historical essence. Symbols, music, colors and flags are tools, which reinforce this identity, there their protection and promotion is the most important job of the public institutions (Tomlinson & Young, 2006; Martin-Jones, 2006). The pluralistic model refers to the practice in certain countries where national identity is the product of efforts of

The Case of Cross-Border Chemicals Study Example | Topics and Well Written Essays - 250 words

The of Cross-Border Chemicals - Case Study Example g weakness in the NAIOS treaty, and so the governments of Rantania, Aldor, and Pell put forward drafting a regional treaty on vital environmental concerns in this meeting. The biggest environmental issues involve pollution, protection of the endangered Red Crane, health and environmental effects of TCP, and food security. The issues are spread across all the states, with each state being affected with one or more of the issues. However, it is expected that all the issues will be resolved upon drafting and implementing the regional environmental treaty Firstly, the treaty will develop mechanisms and parameters that will define the boundaries that must not be crossed when it comes to these environmental issues. For instance, the use of TCP is beneficial to farmers because it increases yield, but excessive use will be curbed as much as possible. The treaty will define the boundaries and limits which when breached will call for appropriate action against the violators. Secondly, the treaty will define the course of action to be followed whenever the treaty’s terms are violated. For instance, what kind of measures will be taken against violators, and the procedures involved in adopting such measures. Finally, the treaty will define and explicitly state how future environmental issues will be addressed. It is important to note that this treaty is intended to solve current and future issues, and therefore will be dynamic and

Crisis Prevention & intervention in healthcare (management of Essay

Crisis Prevention & intervention in healthcare (management of assualtive behavior) - Essay Example The meaning of crisis can be expanded by defining crisis, assaultive behavior and violence. According to Aguilera (1998, p. 12), crisis occur when a person is unable to deal with problems that do not have a way out. The unresolved problems give way to anger, emotional unrest, tension, anxiety and stagnation. Chou et al (2001, p. 139) notes that, assaultive behavior happens if the problem becomes persistent. The issues the person bears become intolerable because the coping methods and accessible resources are inadequate. Crisis is viewed as a psychological instability that result from extreme situation or condition where the resolution is not attainable by means of common remedies. Crisis is a word used to define to a situation where assaultive behavior or violence has occurred. Crisis is used to refer to assaultive behavior when it is extremely negative, unpredictable, uncontrollable and unacceptable in the society. Assaultive behavior requires an opportunity that the person in crisis can use to inflict injury or abuse another as Chou et al (2001, p. 139) mention. Violence is defined as the use of physical force with a motive to inflict injury. It is destructive, turbulent and forceful. Violence causes confusion and reveals accumulation of anger (Richter and Whittington 2006, p. 2). The word crisis, violence and assaultive behavior are used interchangeably. Assaultive behavior can occur anywhere including the hospital. Medical departments have incidents that tantamount to assaultive behavior. The incidents of assaultive behavior in medical departments are on the increase and need to be addressed. Crisis in the form of verbal abuse and physical abuse have occurred in different departments. The waiting area, mentally disturbed departments and emergency departments are common areas where abuse can occur as Salmon and Varela (2007, p. 3) note. People without any history of assaultive behavior or psychiatric condition can suddenly become

Yeast Fermentation Essay Example for Free

Yeast Fermentation Essay The aim of this experiment was to investigate the effect of different amounts of a substrate on the respiration rate of yeast and to compare this to the effect of different amounts of glucose on the rate of yeast respiration. The substrate which I chose to further investigate was fructose. Fructose is a fruit sugar which is one of the three, along with glucose and galactose, dietary monosaccharides that are directly absorbed into the bloodstream during digestion. Materials: 2% yeast solution Large beaker Small beaker Conical flask Thermometer (Ë™C) Glass rod pH meter data logger Hot water Sensitive digital scale (g) Fructose (1.0g, 1.5g, 2.0g, 2.5g) Glucose (1.0g, 1.5g, 2.0g, 2.5g) Measuring cylinder (cm3) Variables Independent: Concentration of glucose (1.0g, 1.5g, 2.0g, 2.5g) , concentration of fructose (1.0g, 1.5g, 2.0g, 2.5g) Dependent: Amount of carbon dioxide produced, i.e. rate of yeast respiration Controlled: 2% yeast solution (20cm3), initial temperature of yeast solution (35-40Ë™C), amount of time that the reaction is measured (180 seconds) Method †¢20cm3 of yeast solution was measured using a measuring cylinder and then  poured into a conical flask. †¢1.0g of glucose was weighed on a digital balance. †¢Hot wà ¡ter was poured into a large beaker, and the conical flask containing the yeast was placed inside with a thermometre inside. †¢The conical flask was kept inside The conical flask was held like this until the 2% yeast solution reached an initial temperature between 35-40Ë™C (specific temperature was noted down) When this temperature was reached, the thermometer was taken out of the conical flask and the conical flask out of the hot wate

VLSI Architecture for QR Decomposition on MHHT Algoritm

VLSI Architecture for QR Decomposition on MHHT Algoritm A VLSI Architecture for the QR Decomposition based on the MHHT Algorithm s.n.v.sai.pratap1 k.kalyani2 s.rajaram3 Abstract: This paper presents Novel VLSI (Very Large Scale of Integration) architecture for the QR decomposition (QRD) based on the Modified Householder transformation (MHHT) algorithm. QRD of a matrix H is decomposition of matrixHinto a productof an orthogonal matrix Qand an upper triangularR. QRD is often used to solve several engineering problems in many areas. Pre-processing modules based on QRD makes the decoding in signal processing easier and implementing data detection with QRD helps to reduce the complexity of spatial multiplexing MIMO – OFDM detection. The techniques used for implementing QR decomposition are: Givens rotation, Modified GramSchmidt Orthogonalization (MGS), Householder Transformations (HHT), and indeed Modified Householder transformation (MHHT). The proposed MHHT algorithm shows best trade-off between complexity and numerical precision, and also suites for VLSI architectures. The proposed MHHT algorithm reduces computation time and hardware area of the QRD block compared to the existing Householder algorithm. Implementation of this algorithm is carried out in FPGA Virtex6 xc6vlx550tl-1Lff1759 device with the help of Xilinx ISE 14.1. Keywords: MIMO systems,VLSI architecture, QR Decomposition (QRD), Householder Transformation(HHT). 1. INTRODUCTION: The QR decomposition (QRD) is a basic matrix factorization method from matrix-computation theory used to compute two output matrices Q and R from an input matrix H, such that H = QR. QRD is often used to solve many engineering areas like least-square problems, linear system equations etc. For symbol-decoding solutions inside Spatial-Multiplexing Multiple-Input Multiple-Output (SM-MIMO) systems, QRD basically consists in simplifying demodulation tasks in suboptimal and near-optimal solutions by finding an orthogonal matrix Q and an upper-triangular matrix R from an input matrix H. Several techniques towards implementing the QRD are already reported in literature. For instance, and under the context of SM-MIMO systems, the most explored are the Modified Gram-Schmidt Orthogonalization (MGS, as a generalized improvement of the Gram-Schmidt algorithm), Givens rotation, the Modified Householder Transformations (MHHT as an enhancement of the Householder Transformation algorithm). Due to its simplicity and numerical stability, the QR factorization algorithm utilizing Householder transformations has been adopted. An overview of the main steps of the Existing Householder QR algorithm is presented. The purpose of this work is to show that when modifying existing Householder QR factorization to the matrix H, the computational complexity and hardware area gets reduced. Due to its trade-off in complexity, numerical precision, and VLSI implementation suitability, the MHHT is preferred. The contribution of this paper is to present a flexible and scalable FPGA-based VLSI architecture with competitive capabilities against other related approaches, motivated on the context of SM-MIMO demodulation solutions. The organization of this paper is as follows: Section II presents the QRD. In Section III, the exisiting HHT and MHHT algorithm is exposed. Implementation results are reported in Section IV, and conclusions are covered in Section V. 2. QR DECOMPOSITION The QRD constitutes a relevant pre-processing operation in SM-MIMO demodulation tasks [1-2]. The baseband equivalent model can be described in (1) At each symbol time, a vector S with each symbol belonging to the Quadrature Amplitude Modulation (q-QAM) constellation passes through the channel response matrix H. The received vector y at the receiving antenna for each symbol time is a noisy superimposition of the signals contaminated by Additive White Gaussian Noise (AWGN) given by n.The maximum likelihood (ML) detector is the optimum detection algorithm for the MIMO system. It requires finding the signal point from all transmit vector signal sets that minimize the Euclidean distance with respect to the received signal vector. The transmitted symbol s can be estimated by solving (2) This gives the optimal result. However, solving (2) with larger constellations and multiple antennas will result in complex calculations. Instead of solving (2) as such, the symbol estimation can be simplified by using QR decomposition of.That is where resides the usefulness of decomposing matrix H in a QR form, yielding a back-recursive dependency on elements in S without incurring into a BER (Bit Error Rate) loss [3-4]. With this practice, the computational complexity is reduced. The detected vector is computed based on the ML algorithm with QR decomposition as given in (3) (3) where is in upper triangular form, approximation of is computationally simpler with the aid of (3). Note that for MIMO-OFDM systems operated in stationary environments, the channel matrix remains almost the same. Thus, QR decomposition of the channel matrix can be done only once to get matrix. On the other hand, the calculation of must be updated for every incoming signal. 2.1 QRD IMPLEMENTATION The techniques used for QR decomposition are: Gram–Schmidt algorithm obtains the orthogonal basis spanning the column space of the matrix by the orthogonality principle. Using a series of projection, subtraction, norm and division, the column vector of the unitary matrix containing the orthogonal basis can be acquired one by one and upper triangular matrix is also obtained as a by-product. Householder Transformation (HHT) tries to zero out the most elements of each column vector at a stroke by reflection operations. The upper triangular matrix is derived after each transformation matrix being applied to every column vector sequentially. The unitary matrix involves the multiplications of these Householder transformation matrices and thus the complexity is much higher. On the other hand, Givens Rotation (GR) zeros one element of the matrix at a time by two-dimensional rotation. If an identity matrix is fed as an input, the unitary matrix will be calculated by using the same rotation sequence when the upper triangular matrix is obtained (Malstev 2006; Hwang 2008 and Patel 2009).The Gram–Schmidt algorithm has the disadvantage that small imprecisions in the calculation of inner products accumulate quickly and lead to effective loss of orthogonality.HHT method has greater numerical stabilitythan the Gram–Schmidt method. Givens method stores two numbers c and s, for each rotation and thus requires more storage and work than Householder method .Givens rotation requires more complicated implementation in order to overcome this disadvantages. Givens rotation can be beneficial for computing QR factorization only when many entries of matrix are already zero, since nullifying certain matrix elements can be skipped. Unlike Givens Transform, Householder Transform can act on all columns of a matrix, and require less computations for Tridiagonalization and QR decomposition, but cannot be deeply or efficiently parallelized. Householder is used for dense matrices on sequential machines, while Givens is u sed for sparse matrices or/on parallel machines. 3. QRD using Householder Transformation In this section, the existing Householder Transformation algorithm is described, followed by proposed HHT method architecture is demonstrated in detail. 3.1 Householder Transformation Householder QR algorithm gradually transforms H into an upper triangular form R by applying a sequence of Householder matrices (multiplies H from the left with Q). Householder transformation is performed by projecting a multi-dimensional input vector onto a plane zeroes multiple elements at the same time. An nÃâ€"n matrix H of the form , (4) is called a Householder matrix. The vector is called a Householder vector. Pre-multiplication of the coefficient matrix with is used to zero out appropriate elements of. It is easy to verify that Householder matrices are symmetric and orthogonal. The Householder matrix block involves the computation of an outer product which requires complexity operation. However, the practical time requirement of using to zero out elements in is lower than that of computing a full outer product. This is because of the tedious computation of the full matrix which is not necessary in practice. Householder reflections work well for introducing large number of zeros using just one matrix multiplication (computing). Normally, all the elements below the diagonal of an entire column of the matrix are eliminated by one Householder reflection. However, this leads to a difficulty when Householder transforms are implemented on parallelly. One reflection affects multiple rows, and therefore, it is difficult to achieve fine-grained parallelism in the operation. The algorithm for Householder transform is given in Table 1. and its block diagram is given in Figure 2. Fig. 2 Block diagram of HHT Table 1 HHT algorithm End Householder vector block: The conventional method of Householder algorithm for decomposing channel matrix is given in Table 1. Initially, the channel matrix is assigned to matrix. It can be periodically updated by following steps to obtain upper triangular matrix. The first column of is assigned to ‘a’ vector. After that the norm value of ‘a’ is calculated and assigned it to ‘g’. The Householder vector ‘v’ is the division ‘u’ and‘t’ which is the norm operation of vector selection . Householder matrix block: The output of Householder vector is given as input to Householder matrix block. Finally, H is computed by The above operation can be updated upto n times to obtain the upper triangular matrix and unitary matrix. It is given below, (5) Q = (HnHn-1†¦H1) T (6) Here the matrix is given to the input of channel matrix to update its vector value. The orthogonal matrix is computed by the multiplication of ‘n’ Householder matrix. Hence its complexity increases and also it occupy more hardware area. If the matrix size increases, the hardware area also increases tremendously. So there is need to reduce the hardware complexity of this block. 3.2 Proposed HHT method The existing method of Householder reflection requires large hardware area and computation time. Householder transformations also provide the capability of nullifying multiple elements simultaneously by reflecting a multi-dimensional input vector onto a plane. However, VLSI implementation of the Householder algorithm needs square-root, multiplication and division operations, which require high hardware complexity. To resolve this issue, a novel Householder algorithm is presented that use series of simple Householder projections, which can be easily implemented using simple arithmetic operations. The proposed algorithm as given in table2 has lesser number of computations compared to the existing algorithm. In Figure 3, the block diagram of modified method is given. It shows two major sub blocks (i.e.) householder vector block and householder matrix block. Householder vector block is same to the previous method of computing ‘v’ with extra weight vector computation. Here modification taken in the Householder matrix block to eliminate matrix multiplication. The vector ‘v’ subtracted from ‘f’ and column vector of channel matrix to give ‘H’ value. Fig. 3 Block diagram of MHHT. In the first step, matrix H is reduced to with all zeros below the diagonal element in the first column by computing the sign of the pivot element d and weight value w. Compared to the previous algorithm, number of steps required to obtain the first matrix can be reduced. For example, if the initial channel matrix of 4Ãâ€"4 undergone to Householder reflection, then it reduces the matrix with all zeros below the first element. The computation of Householder vector in the existing algorithm requires large memory and area. Because is a 4Ãâ€"4 matrix, multiplication of become complex process. To avoid such a task, column vector of matrix has been taken one by one and process it iteratively to obtain the upper triangular matrix. After computation of the first step the matrix size reduced to. After that, the sub matrix of size 3Ãâ€"3 is taken and the steps can be applied repeatedly. The algorithm to compute Householder Vector block is given below. Table 2 HHT algorithm End Repeat above steps for right bottom (n-1)*(n-1) matrix of R Householder vector block: In this Householder reflection algorithm, it transforms the column (7) into the vector of the form (8) where the diagonal element (9) The Householder vector can be computed by, (10) where and This block computation is same as that of previous Householder vector block with a little modification in the weight value. Householder matrix block: After obtaining the Householder vector, the output vector is given to the input of Householder matrix block. The computation of this block is very simple compared to previous method of Householder matrix block computing. The Householder matrix element algorithm is given below, (11) where It reduces the channel matrix to its upper triangular form in steps. To reduce the complexity of computing Q, here the output vector y’ has been taken directly and its algorithm is given below, (12) So the execution time for computing the upper triangular matrix and output vector is very less when compared to conventional Householder reflection algorithm. This reduces the hardware area for the Householder matrix block. The QR decomposition using modified Householder transformation algorithm is simulated by taking ‘a’ as input channel matrix, ‘zb’ as output vector and ‘upper’ as upper triangular matrix. The unitary or orthogonal matrix ‘Q’ need not to be calculated. The output vector in (3) can be computed from the updated Householder vector ‘v’. Also the extra time needed to calculate ‘Q’ can be reduced. So the speed of decomposing the channel matrix can be increased tremendously. 4. Results and Discussion QR decomposition algorithm is required as a pre-processing unit for many MIMO detectors. The accuracy of the channel matrix QR decomposition does not have an impact on the MIMO detection process and finally receiver’s bit-error-rate (BER) performance. The existing and proposed Householder algorithms are downloaded on to Xilinx device xc6vlx550tl-1Lff1759. The synthesis results are compared to show the area efficiency of the proposed one. The channel matrix H elements are represented in floating point representation of 16 bits comprising 1 for sign bit,3 bits for decimal part and 12 bits for fractional part. The 16 bit representation shows an numerical precision oscillates around the interval[10-6,10-5] for both existing and modified algorithms . The computation of column vectors of the R matrix can be parallelised in modified algorithm and thus improvement is obtained in computational time of 49.7% reduction.The computational time for proposed algorithm is about 194.84ns,whereas exisiting algorithm is about 394.56ns. Modified algorithm reduces the matrix computation into vector multilications for some extent and thus reduces the hardware area as obtained from the synthesis report. Table 3 Synthesis report for Conventional Householder algorithm Logic Utilization Used Available Slice LUTs 11142 343680 Bonded IOBs 768 840 BUFG/BUFGCTRL’S 0 32 DSP48E1s 261 864 Table 4 Synthesis report for Proposed Householder algorithm Logic Utilization Used Available Slice LUTs 7634 343680 Bonded IOBs 385 840 BUFG/BUFGCTRL’S 1 32 DSP48E1s 70 864 Table 5 Comparison result Logic Utilization Conventional HHT Proposed HHT % reduced Slice LUTs 11142 7634 31% LUT Flip flops 768 385 49.8% Bonded IOBs 0 1 DSP48E1s 261 70 73% 5. Conclusion To reduce the computational and hardware complexity, Householder transformation algorithm for QRD has been modified. The computation of Q is the tedious process in the existing algorithm. In this work, it can be overcome by directly computing output vector. It reduces the computation time by 52.38% and also reduce in hardware area compared to previous HHT algorithm (Slices – 31%, LUTs – 49.8%) presented in the QRD. Thus it is evident from the comparison result that the number of slices and 4 input LUTs required in FPGA implementation of QR Decomposition is reduced thereby making the low complex design which can meet the specifications of most OFDM communication systems, including VDSL, 802.16, DAB and DVB. In future, this work can be extended to implement K-best LSD and Turbo decoding of LTE receiver. References Lee, K.F. and Williams, D.B.: A space-frequency transmitter diversity technique for OFDM systems. In Proc. Global Telecommunications Conf., San Francisco, CA, pp. 1473-1477. (Nov. 2000) H. Kim, J. Kim, S. Yang, M. Hong, and Y. Shin, â€Å"An effective MIMO–OFDM system for IEEE 802.22 WRAN channels,† IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 8, pp. 821–825, Aug. 2008. H.-L. Lin, R. C. Chang, and H.-L. Chen, â€Å"A high speed SDM-MIMO decoder using efficient candidate searching for wireless communication,† IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 3, pp. 289–293, Mar. 2008. L. Boher, R. Rabineau, and M. Helard, â€Å"FPGA implementation of an iterative receiver for MIMO–OFDM systems,† IEEE J. Sel. Areas Commun., vol. 26, no. 6, pp. 857–866, Aug. 2008. M.-S. Baek, Y.-H. You, and H.-K. Song, â€Å"Combined QRD-M and DFE detection technique for simple and efficient signal detection in MIMO–OFDM systems,† IEEE Trans. Wireless Commun., vol. 8, no. 4, pp. 1632–1638, Apr. 2009. C. F. T. Tang, K. J. R. Liu, and S. A. Tretter, â€Å"On systolic arrays for recursive complex Householder transformations with applications to array processing,† in Proc. Int. Conf. Acoustics, Speech, and Signal Process., 1991, pp. 1033–1036. K.-L. Chung and W.-M. Yan, â€Å"The complex Householder transform,† IEEE Trans. Signal Process., vol. 45, no. 9, pp. 2374–2376, Sep. 1997. S. Y. Kung, VLSI Array Processors. Upper Saddle River, NJ, USA: Prentice-Hall, 1987.

The Application Of Computer Graphics Education Essay

The Application Of Computer Graphics Education Essay People that have learning difficulties show deficits in attention, language, and have a lack of interest in teaching and learning environment and also in educational contents. In class they find that it difficult to cope with the subject that has abstract concepts. For example, student that has down syndrome and autism. Therefore, the solution to this is using one of the Computer Graphics applications, the Virtual Reality where in this application they use visual graphic in educational process. The Virtual Reality application gives advantages to some areas such as environment understanding, from literality to symbolism, and social abilities. Based on the Bogdashina O. book, Sensory perceptual issues in autism and asperger syndrome, the sensory profile of people or student with learning difficulties may be different from those who normal. The Virtual Reality application is being used in the case of Virtual School and Virtual Supermarket. The Virtual Supermarket is one of the successfu l examples of Computer Graphics application in commercial. Then Virtual School has made and still under process and development. Both these case is familiar to everyone in this world. Thatà ¢Ã¢â€š ¬Ã¢â€ž ¢s why the application of these two environments has been studied by applying the techniques and application of Computer Graphics. Another application of Computer Graphics in education is as the motivation for Mathematics subject that need students to use a lot of thinking process. Computer Graphics can be a tools for increasing the awareness in the sciences subjects such as Mathematics among students. Because of the application of the real time, interactive, and visual feedback, students can easily observe the effects of the use of Mathematics in produce a good designs. Nowadays, the use of computers in some school has increase due to the increases in the use of technologies. This is due to the decreases in the percentage of the sciences subject such as Mathematics and Science. After introduce the computers to all school this problem has been solving through time. Through this solution, it shows that the use of computers affects the students in their learning process. In this case, Computer Graphics has been used to illustrate how problem solving give advantages from applications of Mathematics thinking to grap hics problems. Graphics tools as the representative has been used as the teaching aids for the teachers to teach their students in class. The area of Computer Graphics is widely used in many of applications for specific purpose. There are many examples of the successful of the Computer Graphics technology in commercial application. Some of the examples are the virtual stimulators for training in driving vehicles, entertainments, visualisations, 3D representations of future buildings or houses, computer and console games, film scenes and the characters that produced using Computer Graphics. One successful example of Computer Graphics technology in commercial application is Virtual Supermarket. Technique that use in this application is three dimensional (3D) graphic. This application consists of 3D supermarket where it has a variety of products and goods, different visual employees and different functionalities available. The basic task in this case is only to do the shopping. Tools that need in this application are only a computer with the screen, keyboard, mouse, and joystick. Firstly, the user has to move inside the supermarket and then searching for the things that list in the spread out shopping list. Use r need to pick a something or product and put into the virtual trolley. There are four modes that being use in this case that related to the application in the Virtual School which is will be use for learning difficulties in school. First is functional of use and play. This mode can be used to teach the important concepts of our daily life environment and it is shown using pre-recorded videos integrated in the virtual world. Second is imagery play, where this functionality mode is possible to teach the student that has special needs about imagery play of the objects. Through this mode the teacher can try to teach the same imagery play to their students without using the computer but between the teachers and the students itself. The third technique is imagery transformations of objects. There are two types of transformations that commonly used which is 2D and 3D transformations. As the technology has improved, the 3D transformation graphics have become more common rather than 2D transformation, but 2D transformation graphics are still widely used. This te chnique is more to abstract concept to show information that difficult to explain and see in the real world. Therefore, using this transformations technique the teachers are able and more easily to explain to their students about what he or she teaching about in class. In this case the transformation is using the 3D graphic animation transformations into the virtual scene. The last mode is imagery use which is the three dimensional viewing. This Virtual Supermarket can be viewed through 3D viewing where the objects seen seem to be real. The user also can listen to what the avatar in the videos saying or talking and can see their expressions. The idea behind and relationship this application to the education are it is not only an educational game but also a tools for teaching. The attraction of people with learning difficulties towards computers shows the increases in the possibilities that these tools have in their educational and learning process. They find that it is easy to use t he graphical interface in their learning process. This help increasing their interest in educational contents. The techniques that have been used in this example are modelling shapes, layout and animation, and rendering. The modelling process can be through polygonal modelling in which dots are connected and the faces of the polygons that result create the image of the objects. A layout and animation technique involves placing the object within the scene. Commonly, some of methods that used in this technique are motion capture of movements, determining the proper angular positions of the elements of the jointed object, and key framing, which is defined the start and end points of a smooth transition through frames. Movement is created by displaying a series of images that are similar to one another on the screen to create the illusion of movement. The frames then can be replaced by a virtual skeleton and the computer automatically calculates the differences in the appearance among succeeding frames. The rendering is the technique where the model is translated into an image by integrating ligh ting effects such as shadows and scatting of light. In this technique it determines how the light is reflected or refracted from a surface at any point in the object and how the properties of the object materials vary on the surface. For the animation graphics educational tools for the science subjects, this application helps in taking attraction from the students to the subject, delivery information that easy for students to understand and many more. In the learning process in the class, teachers could display the information that they want to give to their students via a variety of equipment. This is including the computer monitor, single projector, depending on their teaching and learning needs. In general, the application of graphics animation in the education acknowledged the positive impact on learning in specific situations. This is because of the information that conveyed by graphics animation are more clearly, can be observed, especially when involving the movement and easy to understand. However, if the abstract and the continuous learning, graphics animation may be interfering the student understands about what they learn. Because of the burden of information through graphic presentation animation, the like hood of confusion will occur during the process of selective attention on certain aspects. In this case, graphic animation will ease the cognitive load when the graphic presented in stages. Graphic presentations in stages also have an impact reinforcement to understand and remember the process and facilitate students to encode the information of what they have learned correctly.