Sunday, January 26, 2020

Tiny Encryption Algorithm Tea Computer Science Essay

Tiny Encryption Algorithm Tea Computer Science Essay Today, security is an issue concern by everyone. Many ways of implementing encryption algorithms have been investigated in order to achieve better performance in terms of security level, speed, power consumption and cost. This project will discuss about implementing Tiny Encryption Algorithm (TEA) using Field Programmable Gate Array (FPGA). FPGA are reconfigurable chips that the integrated circuit is designed meant for reconfigurable architecture. A FPGA chips is programmed using Hardware Description Language (HDL). TEA is an encryption algorithm or block cipher that consider fast, easy and used for many application. In this project, TEA will be implemented on Altera Cyclone II FPGA using Altera DE1 Board. Keyboard using PS2 or the SWITCH on the DE1 will be used as input. The output of the encryption and decryption data will be show on VGA monitor. The encrypted data will be store in memory. Specific Objectives In order to complete this project, there are few objectives have to be archieve. Program the Tiny Encryption Algorithm (TEA) using verilog HDL (Hardware Description Language) Verifying the functionality of the implementation of the encryption in FPGA Perform simulation for timing analysis and the encryption process on the implementation of Tiny Encryption Algorithm (TEA) in FPGA Experiment and test the project in practical Literature Research Cryptography Before the modern era, security communication is the primary concern in Government and Military[2]. Security communication become more important today as a result of the increasing use of the electronic communication for many daily activities such as internet banking, online shopping. Cryptography is a practical way of conveying information securely [1]. The main aim of cryptography is to allow authorized person to receive the message correctly while preventing eavesdroppers understanding the content of the message [1]. The original message is called plaintext t[1]. Plaintext will be encrypted using certain algorithms in the secure system in order to hide the meaning[1]. The output of this reversible mathematical process is called ciphertext and the algorithm used in this process is called cipher [1]. Ciphertext can be transmitted securely because ideally eavesdroppers that access to the ciphertext wont understand what the meaning is behind [1]. The reverse of this mathematical proce ss is to decrypt the ciphertext back to plaintext and this only can be done by the original recipients [1]. The processes of encryption and decryption are shown in Figure 1. Eavesdropper Plaintext Encryption Ciphertext Plaintext Decryption Figure 1 Encryption There are two types of encryption or cipher depends on the key used: Asymmetric key and Symmetric key. Symmetric key The encryption and decryption process use the same key [1]. The major problems and drawback of this key both sender and receiver must know the key prior to the transmissions [1]. If the key is transmitted then it will compromise the systems security [1]. The advantages of symmetric key is the process of encryption and decryption will be faster compare to asymmetric key, in another words it can encrypt or decrypt more data in shorter period of time [1]. Asymmetric key The encryption and decryption process use different key but both of the key are related mathematically [1]. It is very hard to obtain one from the other although they are mathematically related [1]. The public key is used for the encryption process and the private key is used for the decryption process [1]. The security of the system wont be compromised even though the public key is made available but the corresponding private key cannot be revealed to anyone [1]. Symmetric key Symmetric key is further divided into two types: Symmetric Cipher and Block Cipher. Stream Cipher Stream cipher that generates a keystream (a sequence of bits used as a key) [4]. The encryption process is usually done by combining the keystream with plaintext using bitwise XOR operation [4]. Keystream that generated is independent of the plaintext and ciphertext is called synchronous stream cipher while keystream that is generated is depent of plaintext is called self-synchronizing stream cipher [4]. Block Cipher Stream cipher that generates a keystream encrypt fixed length block of plaintext into block ciphertext that is same length [3]. The fix length is called block size. Block Cipher using same secret key for the encryption and decryption process [3]. Usually, the size of block cipher is 64 bits [3]. By increasing the size of block cipher to 128 bits will make the processors become more sophisticated [3]. Stream Cipher vs Block Cipher Stream cipher is a type of symmetric encryption algorithm that can be designed to be exceptionally fast and even much faster compare to block cipher [4]. Stream ciphers normally process on less bits while block ciphers can process large blocks of data [4]. Plaintext that encrypted using block cipher will result in the same ciphertext when the same key is used [4]. With a stream cipher, the transformation of thse smaller plaintext units will vary depending on when they are encountered during the encryption process [4]. Stream Cipher Block Cipher Block Size Depends Fixed Encryption/Decryption Speed Fast Slower Size of block data can be process Small Larger Figure 2: Comparison of Stream Cipher and Block Cipher Figure 3 below shows different type of algorithm table.jpgFigure 3 :Different type of encryption algorithm Tiny Encryption Algorithm is implemented in this project because it is one type of cipher encryption algorithm that encrypt 64 bits of plaintext using a 128 bits of key into a 64 bits ciphertext. TEA Tiny Encryption Algorithm (TEA) is a Feistel type routine designed by David J. Wheeler and Roger M. Needham. It used addition and subtraction as the reversible operators [5]. XOR and ADD alternately used in the routine provide nonlinearity [5]. The Dual bit shifting in the routine cause all the bits and data mixed repeatedly [5]. The three XOR, ADD and SHIFT operation will provide Shannons properties of diffusion and confusion necessary for a secure block cipher without the need for P-boxes and S-boxes [6]. TEA is a feistel cipher that split the plaintext into halves [7]. A sub key will be applied to the one half of plaintext in the round function, F [8]. Then the output of the F will be XOR with other half before the two halves are swapped [8]. All same patterns applied to the entire round except the last round where there is often no swap [8]. Figure 2 below show a Feistel cipher diagram where 64 bits of plaintext is divided into halves which are equally 32 bits each part. 128 bits of key is used for the encryption and decryption process and it is spitted into 32 bits subkey [7]. TEA.png Figure 4: Two Fiestal round(one cycle) of TEA The encryption and decryption routine of Tiny Encryption Algorithm (TEA) written in C language [5]. void encrypt (uint32_t* v, uint32_t* k, uint32_t* v1) { uint32_t v0=v[0], sum=0, i; /* set up */ uint32_t delta=0x9e3779b9; /* a key schedule constant */ uint32_t k0=k[0], k1=k[1], k2=k[2], k3=k[3]; /* cache key */ for (i=0; i sum += delta; v0 += ((v1>5) + k1); v1 += ((v0>5) + k3); } /* end cycle */ v[0]=v0; v[1]=v1; } void decrypt (uint32_t* v, uint32_t* k, uint32_t* v1) { uint32_t v0=v[0], sum=0xC6EF3720, i; /* set up */ uint32_t delta=0x9e3779b9; /* a key schedule constant */ uint32_t k0=k[0], k1=k[1], k2=k[2], k3=k[3]; /* cache key */ for (i=0; i v1 -= ((v0>5) + k3); v0 -= ((v1>5) + k1); sum -= delta; } /* end cycle */ v[0]=v0; v[1]=v1; } [5] delta is derived from the golden number where delta = Architectures Untitled.jpg Figure 5: TEA architectures TEA is implemented using three different architectures. The first architecture (Figure 3a) is a multiple 32 bit adders that simultaneously perform operations needed for one encryption cycle [6]. This parallel form structure should be quite large in terms of hardware area but will perform faster [6]. On the other hands, in order to reduce the area, the second architecture (Figure 3b) performs operations sequentially using a single 32 bit adder [6]. The last design (Figure 3c) is a 8 bit digit-serial adders that use advance architecture offered by application-specific hardware solution [6]. The latter two design are meant for low area solutions but in terms of control and data selection, the effectiveness remain confirmed [6]. Software vs Hardware Implementation of Encryption Implementation of encryption using software is easier to design and upgrade, it also portable and flexible [7]. One of the major problems of software implementation is in most typical personal computer have external memory out from the processor, the external memory is used to store raw data or instruction in unencrypted form so if an attacker gain access to the system, the key can be easier obtained [7]. One of the most common way used by the attacker is bruteforce, a special program can be easily design to bruteforce the algorithm. Besides this, reverse engineering method easier to apply on software implementation. So it can be concluded that software implementation is lack of physical security[7]. Implementation of encryption using hardware by naturally is physically more secure as they are hard to read and view by attacker [7]. Another advantage of hardware implementation is all the data in the encryption process is correlated according to an algorithm which usually perform operation on same data [7]. This will prevent computer technique such as out of order execution and cause hang to the system [7]. Hardware implementation also tend to be more parallel so more orders of magnitudes can be done at certain period of time [7]. Hardware implementation is will be better choice for encryption in terms of performance but the cost of implementation is higher compare to software implementation. Higher security level and better performance is the main concern in this project, so the encryption will be implemented on FPGA, one of the hardware implementation method. Microcontroller, Microprocessor, DSP Processor and FPGA Microprocessor The first microprocessors invented in the 1970s [10]. This is the first time where such an amazing devices put a computer CPU onto a single IC [10]. The significant processing was available at rather low cost, in comparatively small space [10]. At beginning stage, all other functions, like input/output interfacing and memory were outside the microprocessor [10]. Gradually all the other functions in embedded into a single chip [10]. At the same time, microprocessor becoming more powerful in terms on the speed, power consumption and so on [10]. Microprocessor is moving rapidly from 8 bits to 32 bits [10]. Microcontroller A microcontroller is an inexpensive single-chip computer [9]. The entire computer system lies within the confines of the integrated circuit chip, so it is called a single chip computer [9]. The microcontroller on the encapsulated sliver of silicon has features similar to those personal computers [9]. Mainly, the microcontroller is able to store and run a program [9]. The microcontroller contains a CPU (central processing unit), ROM (random-access memory), RAM (random-access memory), Input/Output lines, and oscillator, serial and parallel ports [9]. Some more advanced microcontroller also have other built in peripherals such as A/D (analog-to-digital) converter [9]. DSP (Digital Signal Processing) Processor DSP processor is a specialized microprocessor optimized to process digital signal [12][13]. Most of the DSP processors are commonly designed to have basic features such as high performance, repetitive and numerically intensive tasks so DSP processor often have advantage in terms of speed, cost and energy efficiency [11]. DSP processor have the avility to perform one or more multiply accumulate operations (often called MACs) in a single instruction cycle [14]. FPGA (Field Programmable Gate Array) Xilinx Co-Founders, Ross Freeman and Bernard Vonderschmitt, invented the first commercially viable field programmable gate array in 1985 the XC2064. FPGA is integrated circuit for reconfigurable purposes by user after manufacturer. FPGA is generally specified using Hardware Description language (HDL). FPGA can be programmed to perform logic function and due to this ability, FPGA become more popular. Using FPGA for design can lower non recurring Engineering cost and apply on many application. Hardware Architectures comparison The figure 6 below show the comparison of different architectures used for hardware implementation on encryption. Architecture Efficiency Performance Non recurring Engineering Cost Unit Cost Microprocessor Low Low Low Low Microcontroller Low Low Low Low DSP processor Moderate Moderate Low Moderate FPGA High High Low High Figure 6: Architectures Comparison Comparing the four architectures above, FPGA have the advantage in terms of the efficiency Performance but the unit cost is high. Since costing is not a major concern in this project, so FPGA is better choice for implementing Tiny Encryption Algorithm. Altera DE1 Development and Education Board Altera DE1 is a FPGA Development and Education Board that will be used for this project [17]. Below is the features of this board: DE1_intro_500x.png Figure 7: Altera DE1 Board Altera Cyclone II 2C20 FPGA with 20000 LEs Altera Serial Configuration deivices (EPCS4) for Cyclone II 2C20 USB Blaster built in on board for programming and user API controlling JTAG Mode and AS Mode are supported 8Mbyte (1M x 4 x 16) SDRAM 4Mbyte Flash Memory 512Kbyte(256Kx16) SRAM SD Card Socket 4 Push-button switches 10 DPDT switches 8 Green User LEDs 10 Red User LEDs 4 Seven-segment LED displays 50MHz oscillator ,24MHz oscillator ,27MHz oscillator and external clock sources 24-bit CD-Quality Audio CODEC with line-in, line-out, and microphone-in jacks VGA DAC (4-bit R-2R per channel) with VGA out connector RS-232 Transceiver and 9-pin connector PS/2 mouse/keyboard connector Two 40-pin Expansion Headers DE1 Lab CD-ROM which contains many examples with source code Size ¼Ã… ¡153*153 mm There are few features of DE1 Board will be used for this project. PS/2 mouse/keyboard connector PS/2 keyboard is used as input for the plaintext 4 Push button switches used as a reset button VGA DAC (4-bit R-2R per channel) with VGA out connector VGA monitor is connected to the DE1 board to show the input of plaintext and the output of the encryption, cipher text 4Mbyte Flash Memory Used to store the ciphertext VGA controller IBM introduce video display standard called VGA (video graphics array) in the late 1980s that widely supported by PC graphics hardware and monitors [18]. Figure 8: Simplified Block Diagram of VGA Controller The vga_sync circuit generates timing and synchronization signals [18]. The hsync and vsync signals are connected to the VGA port to control the horizontal and vertical scans of the monitor [18]. Two signals which are pixel_x and pixel_y are decoded from the internal counters [18]. The pixel_x and pixel_y signals indicate the relative positions of the scans and essentially specify the location of the current pixel [18]. Videl_on signal is generated from vga_sync to check whether the display is enable or disable [18]. The pixel generation circuit generate three video signal which is RGB signal [18]. The current coordinates of the pixel (pixel_x and pixel_y), external control and data signals determine the color value [18]. PS/2 Controller IBM introduced PS2 port in personal computers [18]. It is a widely used interface for keyboard and mouse to communicate with the host [18]. PS2 port consists of two wires for communication purposes [18]. One wire for transmitting data in serial stream while another wire is for the clock information which determine when the data is valid and can be retrieved [18]. The data is transmitted in 11 bit packet that contains 8 bits of data, an odd parity bit and stop bit [18]. Figure 9: Timing Diagram of a PS/2 port Quartus II Web Edition Quartus II Web Edition design software is a comprehensive environment available for system-on-a-programmable-chip (SOPC) design developed by Altera [19]. This software is used in this project to program and implement the Tiny Encryption Algorithm (TEA) on Altera DE1 Cyclone II FPGA [19]. This program also can be used for the simulation and timing analysis [19]. Hardware Description Language (HDL) Hard description language (HDL) is a type of programming languages used to program and describe digital logic or electronic circuits [20]. It can describe circuit operation, its design and organization [20]. Figure 10 below shows different type of Hardware Description Language commonly used. HDL Syntax Similarity AHDL Ada programming Language VHDL Ada Programming Language JHDL Java Verilog C Programming Language Figure 10 : Different type of HDL Verilog Hardware Description Language (HDL) is used to program the FPGA in this project because it is a widely used HDL and it syntax is similar the C programming language. Methodology Block Diagram VGA Monitor PS/2 Keyboard VGA Controller Plaintext TEA Encryption Core Flash Memory 64 Bits Ciphertext PS/2 Controller Key 128 Bits 64 Bits Encryption/Decryption Acknowledge Key Update Request Busy Asynchronous Reset Clock Figure 11: Core Module The Blog Diagram above explains the design of this project. PS/2 keyboard used as input for the plaintext. All the data from the PS/2 keyboard will be sent into PS/2 controller to process. The processed data, 128 Bits or key or 64 Bits of plaintext will sent into the TEA encryption core for encryption. The output of the encryption, ciphertext will store inside the flash memory. All the plaintext and cipher text will send into VGA controller to process and show on the CRT monitor. The encryption/decryption will be connected to the DPDT switch to switch between encryption or decryption mode. Key Update Request also connected to the DPDT switch for the purpose of updating the key when the switch is on. Asynchronous reset is connected to the push button for the reset purpose. There are internal clock inside the DE1 board so no external clock is needed for this project. Algorithm and Implementation Verification The original Tiny Encryption Algorithm C source code by the author will be compiled or get a compiled executable program from other source to analyze the encryption of plaintext to ciphertext and decryption of ciphertext back to plaintext. A set of plaintext, ciphertext and key can generated from the program as a reference and compare with the encryption and decryption output implemented on FPGA. Figure 12 is an example of compiled executable program of Tiny Encryption Algorithm by Andreas Jonsson TEA.jpg Figure 12 Costing Estimation Components Quantity Price Altera De1 Board [17] 1 RM 512.84 Used 15 Samsung SyncMaster CRT monitor 1 RM50.00 Used PS/2 Keyboard 1 RM10.00 Total RM572.84 Gantt Chart ganchart.jpg Research analysis will be start from week 6 till week 8. Verilog coding on the implementation of TEA and module and test bench verification this 2 task must perform parallel because after finish a certain module, it should be test and simulate. If simulation or test is done after finish the whole coding, there will be a big problem in debugging the error. The synthesis of PS/2 keyboard, VGA monitor and FPGA start week 20 just before finish the coding. The functionality verification task also runs parallel with the synthesis optimization task. References and Figures Figures Figure 4: Tiny Encryption Algorithm .Available at: http://en.wikipedia.org/wiki/Tiny_Encryption_Algorithm (Accessed: 30 October 2009) Figure 5: Israsena. P, Design and Implementation of Low Power Hardware Encryption for Low Cost Secure RFID Using TEA . Information, Communications and Signal Processing, 2005 Fifth International Conference on 0-0 0 Page(s):1402 1406, DOI 10.1109/ICICS.2005.1689288. Available at http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=arnumber=1689288isnumber=35625 (Accessed : 26 October 2009) Figure 7: Available at: http://www.terasic.com.tw/cgi-bin/page/archive.pl?Language=EnglishNo=83 ( Accessed : 28 October 2009) Figure 8: Pong P. Chu (2008) FPGA Prototyping by Verilog Examples :John Wiley Sons Figure 9: Pong P. Chu (2008) FPGA Prototyping by Verilog Examples :John Wiley Sons

Saturday, January 18, 2020

Political equality Essay

â€Å"When in the course of human events, it becomes necessary for one people to dissolve the political bonds which have connected them with another, and to assume among the powers of the earth the separate and equal station to which the laws of nature and of Nature’s God entitle them, a decent respect to the opinions of mankind requires that they should declare the cause which impel them to the separation† (Thomas Jefferson). These are the words of former U.S. president in his declaration of Independence. â€Å"We hold these truths to be self evident, that all men are created equal.†(American declaration of independence) Different question arose from the above quote in that â€Å"are all men created equally†? The answer is â€Å"No† biologically and â€Å"Yes† when it comes to legal matters, economic rights and politically. What is political equality? This is equal authority to decide on every law and policy of the society. It also refers to the extent to which human have equal voices over governmental decisions. The principle asserts that though we are not biologically equal we all have equal right to vote on every law and policy of our environment and that only people with this right have the equality to live by their own decisions and are free. Its explains further that every citizen must have the rights to choose and decide the type of societal laws that should be accepted and this was maintain by the fact that the fundamental purpose of laws is to improve life of all citizen. Its also explains the principle of one-person per one vote, equal right to speech and equality to law. When citizens are given the opportunity to decide what laws affects them, they can legislate other equalities. Why do we want political equality? Political equality â€Å"a valued good†: political equality gives people the ability to express their political view. It confers on them the sense of selfhood and belonging.  · It builds community: the community is usually bounded by the cooperative activity toward the shared goals and this entails the engagement of all.  · It creates legitimacy: political equality creates legitimacy in the sense that it encourages obedience to laws, acceptance of elections results by the losing side.  · Educative: political equality which leads to political participation is educative in that it encourage and teach people about politics and about democracy and their own needs and likes through their involvement in the politics. When it all started In the beginning, when the American declaration of independence was made, little did the founders know about the effect of that on human nature and quest of inequality and Power, they believed that men are born equally and this theory was of limited scope then. Question of citizenship, liberties and rights for the political system was complicated. There were debates over the idea and that of political equality was only represented in the constitution and not really acted upon. The principle of equality of political individuals which translate into that of one man, one vote and ultimately into one person, one vote was implicit in the constitution of the united states rather than being expressly declared(cited in Pole 47). The one vote per person generates controversies among Americans but was later accepted as the most equal method of voting. American Labour Party had since believed in the socialist form of government. They tend to support a state controlling the industries and equal distribution of wealth. After WW II, the labour party government nationalized the industries, established what is known as a â€Å"welfare state†. This provides citizen with social security, insurance against unemployment and also the National Health Services. With the inception of the â€Å"conservative government† the industries was denationalized but kept the health services. (Microsoft Encarta.2008) In recent years, the trade union membership had declined and subsequently influenced the Labour Party. At the same time the political party had moved away from the political centre. In 1995 it gave up its commitment to socialism and nationalization of industries. (Microsoft Encarta.2008) In 1819, political equality was also modified as a result of a land crash which devastate the life of many citizen and those who hope of acquiring significant amount of wealth and property. The economy was affected and the people just hope for best to come and things later got into place. The effect of the crash on the political equality was just on the view of wealth distribution and those arguments against the bridging of gaps between the poor and the rich. The rich never wanted to have equal access to basic gifts of nature, they believed in that because they are rich they should have more political weight than the poor.   The effect of the disaster was enormous and the workers organized themselves into various political sects and made laws that would protect them and their families from future reoccurrence. The laws were also made to protect what they have left. Political equality in local emergency services Political equality in local emergency services gives: Equal rights to emergency services: such as the right to those health care schemes, free medical services for the less privileged, equity in the local judicial system. Equal capacity: there are also equal rights as a result of the political equality and this gives opportunity to the citizen to exercise their civic right and contribute to the decision of made concerning the local emergency services. Equal voice: it ensures equal voice of the citizen i.e. they have the right under the law to say no to some things and decide on what directly or indirectly affects them. Political equality also creates equal attention to the citizen not giving preference to any body on the grounds that he or she is special simply because of status in the community. Equal output; since political equality ensure the participation of the members of the community. It actually strengthens the output of all those emergency services. Create sense of belonging: political equality makes citizen decides on what happens to them, hence it creates the sense of belonging in that the citizen would not want any thing created to get spoilt or get disorganized so when they see any misnomer they tend to try to correct it. Political equality also affect the health sector positively by: (1)Increased reliance on the market forces will make health care cheaper,(2)Change of tax code to provide equal tax relief for individuals who purchase their own insurance,(3)Changing the tax code will also break the link between employment and insurance(4)Insurance for those whose employers do not offer a plan(5)Creation of medical savings accounts( Microsoft Encarta) According to the Canadian law the provinces must ensure that their health care system respect the following five criteria: (1) public administration—the health insurance plans must be administered by a public authority accountable to the provincial government; (2) comprehensive benefits—the plan must cover all medically necessary services prescribed by physicians and provided by hospitals; (3) universality—all legal residents of the province must be covered; (4) portability—residents continue to be covered if they move or travel from one province to another; and (5) accessibility—services must be made available to all residents on equal terms, regardless of income, age, or ability to pay.(Microsoft Encarta) Conclusion In conclusion, political equality creates an environment where the people have equal access to the basic amenities and equal opportunity to create laws that guide the citizen. With equality in justice, law and politics our world will be a better place.

Friday, January 10, 2020

What You Must Know About Essay Topics 7th Grade

What You Must Know About Essay Topics 7th Grade In an academic setting, but the paper needs to be formatted and organized in line with the corresponding standards without the usage of informal languages like slang or jargon. A student has to learn plenty of rules to develop an ideal academic assignment of this kind and deliver the target message. Furthermore, seventh grade students ought to be in a position to choose among simple, compound, and intricate sentences to signal various relationships among ideas. When a lesson is extremely engaging, teachers have a wonderful feeling in our guts that's distinctly connected with seeing inspired minds learning. Our expert instructors are readily available to respond to your questions, and you're able to use any computer or mobile device to access the program material. Teachers assign the essential format, but bear in mind these tips should they don't. Understanding Essay Topics 7th Grade Recent argumentative essay topics that are related to society is going to do. It buy, several other states. The essay defines a particular perspective. An argumentative essay will ask that you present both the pros and disadvantages of a specific subject to be able to persuade a reader to agree with your perspective. In addition, it depends upon the special college subject. To compose a strong argumentative essay, students should start by familiarizing themselves with a number of the common, and frequently conflicting, positions on the research topic so they can write an educated paper. In order to be a superior writer, the least a student has to do is start writing. Well, you own a task to compose a 7th grade essay. Students learn how to write effectively when they write more frequently. Ask students to describe the characteristics of every sort of essay. In choosing your topic, it's frequently a good concept to start with a subject which you already have some familiarity with. When you have the topic, answer the question and after that support your answer with three or more explanations for why you believe it. You should have your reasons, and our principal concern is that you wind up getting an excellent grade. The major objective is to describe various organizational patterns. On top of the price, you're want to bring the atmosphere into the equation. In many instances, the child has a great deal of interests. Another reason is to observe how well students argue on unique views and demonstrate understanding of the studied subject. The Ultimate Essay Topics 7th Grade Trick Young writers may try simple on-line citation generators which are typically at no cost. After discovering our website, you will no longer will need to bother friends and family with these kinds of requests. Students lead busy lives and frequently forget about an approaching deadline. Given two sides of a right triangle, they use the Pythagorean Theorem to find the length of the third side. Characteristics of Essay Topics 7th Grade Select a favourite sport and appear at how it developed. A very easy and important strategy to construct math confidence is practice math daily. There are a number of ways to have fun with math before knowing that you're doing mathematics. It's also utilized to reference students their capability, to make certain they belong in the most suitable amount of education. At age 14 you graduate and continue on to high school. A seasoned professional will make an error-free assignment right away and can help you boost your grades. A black male student who has just a couple of black male teachers is significantly more likely to visit college and significantly less inclined to drop out. That about 17 decades of education. It is essential in math to construct a strong support system. In instances where data collection is impossible, students learn how to create simulations as a way to collect data to produce informed decisions. Select your educational standard. Also, be sure to look for distinctive features at different degrees of research.

Thursday, January 2, 2020

Moby Dick Enigma - 804 Words

Mr. Greer American Lit. Jim Hatton Topic #2 11/6/2012 Moby Dick is an enigma. Some whalers, like many aboard the Pequod, believe he is an immortal being with god-like qualities. Other whalers believe he is a tangible albino sperm whale. Moby Dick is the source of all that is evil for Ahab, and an impediment of a whaling voyage to those like Starbuck. There is vast variability of character perceptions, and particular beliefs or lack thereof that imbue Moby Dick with his power, which make him tremendously inscrutable. Many Whalers encountered in Moby Dick have differing opinions on the whale. Some whalers, as Ishmael describes, observe Moby Dick as perpetual. â€Å"It cannot be much of a matter of surprise that some†¦show more content†¦However, Ishmael truly believes that Moby Dick is almost impossible to understand. â€Å"If then, Sir William Jones, who read in thirty languages, could not read the simplest peasant’s face in its profounder and more subtle meanings, how may unlettered Ishmael hope to read the awful Chaldee of the Sperm Whale’s brow? I put that brow before you.† (p.275) He understands the great inscrutability of Moby Dick. Ishmael only sees the whale in for brief moments in three chapters, therefore making it hard to comprehend a full understanding of the whale. Moby Dick is unfathomable. Although a tangible whale, he turns into a god, a legend, a reward, a blockade and the idea of evil. Many different characters have different understandings of the whale, however Ishmael understands the most: that Moby Dick is inShow MoreRelatedEssay about Classification Of Restaurant Tippers924 Words   |  4 Pagestend to bridge the gap between a server and their table, so to speak. They know drinks will be followed with straws and food orders will be taken as soon as hands are free. THE NON-MONITARY TIPPERS. The roller coaster of customers. The profit enigma. These tables tend to build up a server’s self-esteem, only to inadvertently knock it down upon receipt of payment. Non-monetary tippers generally are always smiling, polite and complimentary. In short, they are usually very pleasant individualsRead MoreIgnorance Is Not An Excuse For Not Learning Essay1337 Words   |  6 Pagescharacter Bartleby s, subconscious struggle with mental illness and the inability of the people around him to understand and interact with him. When Melville wrote this story he had experienced a great loss from the poor reception of his book Moby Dick. Naturally he would have been depressed and some have said that his sense of loss parallels with the dead letters office. In addition, it is important to remember that during the time in which he lived psychology was not as advanced as it is nowRead MoreInterpretation of the Text13649 Words   |  55 Pageseliciting a certain response from the reader, for example, creating a mood, increasing tension and suspense, etc. 10 An enigma is an important factor in story-telling, when the narrator withholds some information from the reader and keeps him guessing, imagining the probable outcome of the events described, motives of characters’ actions, etc. Some stories contain a whole series of enigmas. Withholding information until a certain point in the development of the plot is called retardation, which is a widelyRead MoreVictorian Novel9605 Words   |  39 Pagesmind’. Slave emancipation, the Irish Fenians and Russian imperialism were themes to be traced in the narrative, which served as a source of many more themes in works of other authors. For example, in Dickens’ *Great Expectations, in Melville’s Moby Dick and Conrad’s Heart of Darkness. It became a foundation text for an emerging sub-genre of *‘scientific romance’. Pierce Egan â€Å"Sr’s Life in London† was written as a series of urban sketches, recording the travels of a countryman, Jerry Hawthorne,