Clock Arithmetic :: essays research papers

Clock Arithmetic The topic of time has always been one of interest to me at least on a philosophical basis. Through the works of Einstein, ancient timepieces and calendars such as Stonehenge, and even theories on past and present, time is everywhere. I chose this topic to perhaps explore further the relevance of clocks and timepieces in mathematics and arithmetic. To gain a better understanding of the mathematical features of time would be rewarding knowing that philosophy and mathematics are closely related. Through what I’ve seen in clock arithmetic the concepts could be taught and applied as early as first grade due to the nature of addition and subtraction involved. Clock Arithmetic is also used for technological reasons. Computer games are manufactured using clock arithmetic to base a character’s position due to the resolution of the screen on a certain axis. Example: Suppose you are playing a video game and the character in the game (let's call him Max) is walking from the left side of the screen to the right side. Max gets to the right side of the screen and keeps walking; he disappears and reappears on the left side of the screen again. If the screen is 12 inches wide and we are keeping track of how far Max is from the left side of the screen, then as soon as he is 12 inches from the left side it's as if he was back at the beginning again. If you put it pictorially, against a clock you’d find that Max would start and end up at the same point. Now I’d like to downgrade and put things in an elementary perspective. If it is 3 o'clock and we add 5 hours to the time that will put us at 8 o'clock, so we could write 3 + 5 = 8. But if it is 11 o'clock and we add 5 hours the time will be 4 o'clock, so we should write 11 + 5 = 4. Now everyone knows that 11 + 5 =16, but there is no 16 on the clock (unless you're on military time). Every time we go past 12 on the clock we start counting the hours at 1 again. If we add numbers the way we add hours on the clock, we say that we are doing clock arithmetic. So, in clock arithmetic 8 + 6 = 2, because 6 hours after 8 o'clock is 2 o'clock.

Ap Bio Work

Label the seven repertories illustrated here, and give a different example of each. Enter answer here Evolutionary Adoption Enter answer environment Response to the here Enter answer Order here Regulation Energy Processing Enter & Development Concept 1. 1 Themes connect the concepts of biology 2. What are emergent properties? Give two examples. Properties that are not present at the preceding level. Reproduction 3. Life is organized on many scales. Figure 1. 4 zooms you in from viewing Earth from space all the way to the level of molecules. As you study this figure, choose the correct label for each picture. Exosphere ecosystem ell organism organelle community tissue molecule population 4. Our study of biology will be organized around recurring themes. Make a list here of the themes that are presented, and give an example that illustrates each theme. Watch for these themes throughout your study this entire year. This will help you see the big picture and organize your thinking. (Go t o the Summary of Key Concepts at the end of the chapter for a concise look at the themes. ) Theme 1 Example Organisms Interact with other organisms and the Physical Environment The leaves of a tree, for example, absorb light from the sun, Theme 2:Life requires energy transfer and transformation Theme 3: Theme 4: A fundamental characteristic of living organisms is their use of energy to carry out life's activities. Theme 5: Theme 6: Theme 7: (Find it in 1. 2. ) Concept 1. 2 The Core Theme: Evolution accounts for the unity and diversity of life 5. Life is organized into groups. Study Figure 1. 14. Which level contains the greatest diversity of organisms? The least? 6. Taxonomy is the branch of biology that names and classifies organisms. Because of new molecular information, there have been many changes in placement of certain groups in recent years.Notice that all life is now organized in your text into 3 domains rather than the 5 kingdoms you may have learned earlier. Choose the kin gdoms mentioned in the text in the space above the proper domain names shown here. Mammalian Protests 7. What two main points were articulated in Darning's The Origin of Species? 8. What did Darwin propose as the mechanism of evolution? Summarize this mechanism. Are the two main types of scientific inquiry? Give an example of each. 10. What is the difference between deductive and inductive reasoning? Is either used by scientists? 1 1 .Distinguish between quantitative and qualitative data. Which type would be resented in a data chart and could be graphed? Which type is found in the field sketches made by Jane Goodwill? 12. In science, how do we define hypothesis? 13. A scientific hypothesis has two important qualities. The first is that it is testable. What is the second? 14. Look at Figure 1. 24. Use it to write a hypothesis using the â€Å"If .. . Then .. .† Format. 15. What is a controlled experiment? 16. The text points out a common misconception about the term â€Å"cont rolled experiment†. In the snake mimicry experiment, what factors were held constant? 7. Explain what is meant by a scientific theory by giving the three ways your text prepares a theory from a hypothesis or mere speculation. Chapter 2: The Chemical Context of Life 2. 3. This chapter covers the basics that you may have learned in your chemistry class. The questions that follow should help you focus on the most important points. Matter element trace element neutron atomic number atomic mass energy polar covalent bond anion compound proton isotope electronegative action dynamic equilibrium essential element electron electron shells monopoly covalent bond hydrogen bond Concept 2. Matter consists of chemical elements in pure form and in combinations called compounds 1. What four elements make up 96% of all living matter? Concept 2. 2 An element's properties depend on the structure of its atoms 2. Below is a model of an atom of helium, correctly label the electrons, protons, neutro ns, and atomic nucleus. 3. What is the atomic number of helium? Its atomic mass? 4. Consider this entry in the periodic table for carbon. What is the atomic mass? Atomic number? How many electrons does carbon have? Neutrons? 5. What are isotopes? Use carbon as an example. 6.Explain radioactive isotopes and one medical application that uses them. 7. Which is the only subatomic particle that is directly involved in the chemical sections between atoms? 8. What is potential energy? 9. Explain which has more potential energy in each pair: a. Boy at the top of a slide/boy at the bottom electron in the third energy shell the chemical behavior of an atom? B. electron in the first energy shell/ c. Water/glucose 10. What determines a. How many valence electrons does it have? B. How many protons does it have? Concept 2. 3 The formation and function of molecules depend on chemical bonding between atoms 12.Now, refer back to your definition of a compound and fill in the following chart: Molecule ? (y/n) Compound? (y/n) Molecular Formula Water Carbon dioxide Methane Structural Formula 02 13. What type of bond is seen in 02? Explain what this means. 14. Choose the correct labels for the electron distribution diagram of water. Which element is most electronegative? Molecule? Why is water considered a polar (This is a very important concept. Spend some time with this one! ) 15. Another bond type is the ionic bond. Explain what is happening in the figure below (2. 14): 16. What two elements are involved above? 17.In the preceding example, which is the anion? 18. Indicate where the hydrogen bond occurs in this figure. Hydrogen 19. Here is a list of the types of bonds and interactions discussed in this section. On the chart: hydrogen bonds, van deer Walls interactions, covalent bonds, ionic bonds. Van deer Walls interactions 20. What is the biological importance of weak bonds? 21 . Use morphine and endorphins as examples to explain why molecular shape is crucial in biology. Concep t 2. 4 Chemical reactions make and break chemical bonds 22. Write the chemical shorthand equation for photosynthesis. Label the reactants and the products. 23.For the equation you Just wrote, how many molecules of carbon dioxide are there? How many molecules of glucose? How many elements in glucose? Chapter 3: Water and the Fitness of the Environment polar molecule specific heat solute pH cohesion evaporation hydrophilic acid adhesion solvent hydrophobic base Concept 3. 1 The polarity of water molecules results in hydrogen bonding 1. Why is water considered polar? 2. How many hydrogen bonds can a single water molecule form? Concept 3. 2 Four emergent properties of water contribute to Earth's fitness for life Hydrogen bonding accounts for the unique properties of water. Let's look at several.Cohesion 3. What is demonstrated when you see beads of water on a waxed car hood? Calorie solution military . Which property explains the ability of a water strider to walk on water? Moderation o f Temperature 5. Water has high specific heat. How does water's specific heat compare to alcohol's? 6. Explain how hydrogen bonding contributes to water's high specific heat. 7. Summarize how water's high specific heat contributes to the moderation of temperature. How is this property important to life? 8. What is heat of vaporization? Explain at least three effects of this property on living organisms. Expansion upon Freezing 9. Ice floats!So what? Consider what would happen if ponds and other bodies of water accumulated ice at the bottom. Describe why this property of water is important. 10. Now, explain why ice floats. Why is ICC the critical temperature in this story? Solvent of Life 1 1 . Consider coffee to which you have added sugar. Which is the solvent? The solute? 12. Explain why water is such a fine solvent. 13. You already know that some materials, such as olive oil, will not dissolve in water. In fact, oil will float on top of water. Explain this property in terms of hyd rogen bonding. 14. Now, let's do a little work that will enable you to prepare solutions.Read the section on solute concentrations carefully, and show the calculations here for repairing a I-molar solution of sucrose. Steps to help you do this follow. The first step is done for you. Fill in the rest. Steps to prepare a solution: a. Write the molecular formula. B. Use your periodic table to calculate the mass of each element. Multiply by the number of atoms of the element. (For example, O has a mass of 16. Therefore one mole of O has a mass of 16 x 11 = 176 g/mole. ) masses of each element in the molecule. C. Add the d. Add this mass of the compound to water to bring it to a volume of 1 liter.

The Virtues of Apathy Essay - 3588 Words

The Virtues of Apathy â€Å"I just dont think I can continue to live in a place that embraces and nurtures apathy as if it was virtue.† Morgan Freeman speaks these words in the movie Se7en after declaring that he is going to quit his job as a detective. His character sees crimes of hate, aggression and murder every day, and he also observes the public’s reaction to them. People turn a blind eye; they no longer care. What has happened to society? Why has what used to be considered incredibly shocking dissolved into what is considered an everyday and usual activity? Apathy has become the common response of American society towards what should be considered shocking because these activities have become unshocking and â€Å"everyday†. In†¦show more content†¦Crying and vomiting, love making and dying, and beauty and sickness are paired together and stressed in his novel Blue of Noon. Bataille’s main character is almost a complete opposite to what is considered a normal human being. The character loves what is evil and debaucherous. He even finds the dead more sexually attractive than the living. Bataille uses this estranged character to perform actions that should be everyday; however, the nature of the character performing the actions unfamiliarizes them. A perfect example of this is when the character is sitting down for an evening meal at a pleasant restaurant. Instead of finishing the meal and his conversation with the woman sitting next to him, the character violently stabs the woman in the leg with his fork (Bataille 39). Such an action is completely out of place, yet it happens as though it is ordinary and everyday. Looking back from a modern perspective, Highmore states that â€Å"Surrealism’s attention to everyday life stands the everyday on its head† (Highmore 49), meaning that the Surrealists accomplished their task of upsetting the normal and confusing the ordinary. 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