Solution(a)Basic DefLet R be a binary relation on a set A.R i.pdf

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Solution (a) Basic Def: Let R be a binary relation on a set A. R is reflexive, iff for all x Î A, (x,x) Î R, i.e. xRx is true Since (3,3),(4,4) not present in R R is not reflexive..

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The Seliwanoffs Test is a test for ketoses. Of .pdf

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The short answer is no. SN2 reactions are governed by several factors, the most important being how accessible and unhindered the substrate is. Easily accesible carbons such as primary carbons react readily and quickly. Secondary carbons will react too, though this occurs at a much slower rate. Tertiary carbons will not react at all due to steric hinderance. The nucleophile is unable to atttack the backside of the substrate, and since this is the essential mechanism that defines SN2, no reaction occurs. In the case of aspirin synthesis we must define the substrate and nucleophile. Acetic anhydride is the nucleophile (CH3CO2-) and salicylic acid is the substrate. If this were to act as an SN2 reaction, the nucleophile would have to attack the benzene carbon with the -OH group. First off, this carbon is tertiary, so it would not participate in this type of reaction. More importantly, this carbon is in a near-unbreakable benzene ring. Beside the massive amount of steric hinderance via the other ring carbons, this incorporation into the benzene ring does not leave the backside of the reactive carbon exposed. An SN2 reaction will not occur under any circumstance. Solution The short answer is no. SN2 reactions are governed by several factors, the most important being how accessible and unhindered the substrate is. Easily accesible carbons such as primary carbons react readily and quickly. Secondary carbons will react too, though this occurs at a much slower rate. Tertiary carbons will not react at all due to steric hinderance. The nucleophile is unable to atttack the backside of the substrate, and since this is the essential mechanism that defines SN2, no reaction occurs. In the case of aspirin synthesis we must define the substrate and nucleophile. Acetic anhydride is the nucleophile (CH3CO2-) and salicylic acid is the substrate. If this were to act as an SN2 reaction, the nucleophile would have to attack the benzene carbon with the -OH group. First off, this carbon is tertiary, so it would not participate in this type of reaction. More importantly, this carbon is in a near-unbreakable benzene ring. Beside the massive amount of steric hinderance via the other ring carbons, this incorporation into the benzene ring does not leave the backside of the reactive carbon exposed. An SN2 reaction will not occur under any circumstance..

The short answer is no. SN2 reactions are governed by several factor.pdf

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Technology has taking milestone forwarding steps and they are using with trhose new advanced technologies of that computers. For example let us take one example among all those computer technologies. Mainly the technology i observed is now a days everyone using notepads for writing. Everyone user used top write in paper by using pens and thjese days we cannot see those. It is very important to notice that technology has devoleped alot and writing with the notepads and everything. Technology is devoleping day by day if any conflicts or errors that are occured in that, there may be chance of rectifying those and using more effectively and continuing with the next updated technologies. So they have to notice the conflists that are occured and keep on updating. There are not so much problems with the exisating technologies, because these are devoleping with the more strategic manner and with the perfect plkans and if anything wrong happens there may be a chance of changing those immediately so it is gradually increase the quality of them. Now a days everything is related to the technologies. From staring the day everyone is busy with the digital world it is mainly effecting everyone and now a days all group of people even small childrens are using these because they are technically aware of those tyechnologies. Yes i agree with the new technologies that are devoleping day by day because itr is making us very simple in our life for examle according to you cool pads, phones are using these4 are very much familiar with the peoiple because these can make the peoples work very easy. Solution Technology has taking milestone forwarding steps and they are using with trhose new advanced technologies of that computers. For example let us take one example among all those computer technologies. Mainly the technology i observed is now a days everyone using notepads for writing. Everyone user used top write in paper by using pens and thjese days we cannot see those. It is very important to notice that technology has devoleped alot and writing with the notepads and everything. Technology is devoleping day by day if any conflicts or errors that are occured in that, there may be chance of rectifying those and using more effectively and continuing with the next updated technologies. So they have to notice the conflists that are occured and keep on updating. There are not so much problems with the exisating technologies, because these are devoleping with the more strategic manner and with the perfect plkans and if anything wrong happens there may be a chance of changing those immediately so it is gradually increase the quality of them. Now a days everything is related to the technologies. From staring the day everyone is busy with the digital world it is mainly effecting everyone and now a days all group of people even small childrens are using these because they are technically aware of those tyechnologies. Yes i agree with the new technologies that are devoleping.

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probability= 10100=0.1Simple.Solutionprobability= 10100=0..pdf

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Plantaris muscle The plantaris is one of the superficial muscles of the superficial posterior compartment of the leg, one of the fascial compartments of the leg. It is composed of a thin muscle belly and a long thin tendon. While not as thick as the achilles tendon, the plantaris tendon (which tends to be between 30 and 45 cm in length) is the longest tendon in the human body. Not including the tendon, the plantaris muscle is approximately 5–10 cm long and is absent in 8-12% of the population. It is one of the plantar flexors in the posterior compartment of the leg, along with the gastrocnemius and soleus muscles. The plantaris is considered an unimportant muscle and mainly acts with the gastrocnemius. Function] The plantaris acts to weakly plantar flex the ankle joint and flex the knee joint. The plantaris muscle may also provide proprioceptive feedback information to the central nervous system regarding the position of the foot. The unusually high density of proprioceptive receptor end organs supports this notion. Its motor function is so minimal that its long tendon can readily be harvested for reconstruction elsewhere with little functional deficit. Often mistaken for a nerve by new medical students (and thus called the \"freshman nerve\"), the muscle was useful to other primatesfor grasping with their feet.[citation needed] Clinical significance A common injury that is normally attributed to the plantaris muscle is a condition called tennis leg. Although pain in the calf can be attributed to a rupture of the plantaris muscle, recent ultrasound research has shown that tennis leg more commonly arises from tears in the musculotendinous junction of the medial gastrocnemius. In one clinical study, 94 out of 141 patients (66.7%) diagnosed with tennis leg were found with a partial rupture of the gastrocnemius muscle while rupture of the plantaris tendon was only seen in 2 patients (1.4%) Injury may occur from running, jumping, or pushing off one leg as in sports such as tennis, basketball and soccer which require quick foot movement in a certain direction. Isolated plantaris muscle strains are rare and ruptures normally occur in concurrence with injury to other muscles in the posterior compartment of the lower leg. Symptoms of a plantaris muscle rupture may include an audible popping sound in the area during physical activity, swelling, pain in the posterior side of the lower leg, and persistent soreness. It may also be painful when trying to flex the ankle Anatomy of plantaris muscle: a study in adult Indians. Abstract AIM: The plantaris muscle (PM) and its tendon is subject to considerable variation in both the points of origin and of insertion. The present study was carried out to fi nd the different types of origin, insertion and possible variations of the PM in the population of southern costal region of India. MATERIALS AND METHODS: 52 embalmed (Formalin fixed) cadaver lower limbs of 26 males (age ranged 48-79 years, mean age 68 years) we.

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Non-coded RNA are small RNA molecule that cannot be translated by host machinery. They are useful tools for medicine and research. Because they are RNA molecules so they can restrict the translation of mRNA. They are very useful for treatment of mutations and chromosomal abnormalities. On the basis of their functions, the following options are true. (Option 1) – To counteract viral infections. Viruses infect by expressing their RNA or expression after transcription of DNA. So, blocking the mRNA of virus is crucial to restrict their infections. (Option 2) - To block expression of an abnormal gene responsible for disease. (Option 4) – To analyze gene function by observing what occur when the gene’s expression is inhibited. *They cannot create mutations because they are not complementary to DNA. Solution Non-coded RNA are small RNA molecule that cannot be translated by host machinery. They are useful tools for medicine and research. Because they are RNA molecules so they can restrict the translation of mRNA. They are very useful for treatment of mutations and chromosomal abnormalities. On the basis of their functions, the following options are true. (Option 1) – To counteract viral infections. Viruses infect by expressing their RNA or expression after transcription of DNA. So, blocking the mRNA of virus is crucial to restrict their infections. (Option 2) - To block expression of an abnormal gene responsible for disease. (Option 4) – To analyze gene function by observing what occur when the gene’s expression is inhibited. *They cannot create mutations because they are not complementary to DNA..

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Just because two compounds have the same melting point does not mean that they exhibit similar interacting characterstics. Melting means that intermolecular bonds that hold molecules together are being broken. Sometimes, when adding impurities into a pure compound, these intermolecular bonds are disturbed by the presence of the impurity. Because of this, the solution will melt at a lower temperature than a pure solid due to disturbed intermolecular bonds (from a solid to another molecule of the same solid) T= H/S Another reason is the change in enthalpy (H) describes the amount of heat required to break the interactions between solid molecules in order to become a liquid. This value does not change much when you add an impurity. The change in entropy (S) describes the entropy gained when going from the much more ordered solid phase to the much less ordered liquid phase. Adding an impurity to the liquid phase increases the entropy of the liquid without affecting the entropy of the solid much; the end result is that S larger for a solid melting into an impure liquid than a pure liquid. Adding an impurity to the liquid phase causes S to increase without changing H. As you can see from the equation above, this situation must cause the melting point (T) to decrease. Therefore, adding an impurity, will cause a substance to melt at a lower temperature. Solution Just because two compounds have the same melting point does not mean that they exhibit similar interacting characterstics. Melting means that intermolecular bonds that hold molecules together are being broken. Sometimes, when adding impurities into a pure compound, these intermolecular bonds are disturbed by the presence of the impurity. Because of this, the solution will melt at a lower temperature than a pure solid due to disturbed intermolecular bonds (from a solid to another molecule of the same solid) T= H/S Another reason is the change in enthalpy (H) describes the amount of heat required to break the interactions between solid molecules in order to become a liquid. This value does not change much when you add an impurity. The change in entropy (S) describes the entropy gained when going from the much more ordered solid phase to the much less ordered liquid phase. Adding an impurity to the liquid phase increases the entropy of the liquid without affecting the entropy of the solid much; the end result is that S larger for a solid melting into an impure liquid than a pure liquid. Adding an impurity to the liquid phase causes S to increase without changing H. As you can see from the equation above, this situation must cause the melting point (T) to decrease. Therefore, adding an impurity, will cause a substance to melt at a lower temperature..

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import java.awt.*; import java.awt.event.*; import javax.swing.*; public class StopWatch extends JPanel { private Timer myTimer1; public static final int ONE_SEC = 1000; //time step in milliseconds public static final int TENTH_SEC = 100; private Font myClockFont; private JButton startBtn, stopBtn, resetBtn; private JLabel timeLbl; private JPanel topPanel, bottomPanel; private int clockTick; //number of clock ticks; tick can be 1.0 s or 0.1 s private double clockTime; //time in seconds private String clockTimeString; public StopWatch() { clockTick = 0; //initial clock setting in clock ticks clockTime = ((double)clockTick)/10.0; clockTimeString = new Double(clockTime).toString(); myClockFont = new Font(\"Serif\", Font.PLAIN, 50); timeLbl = new JLabel(); timeLbl.setFont(myClockFont); timeLbl.setText(clockTimeString); startBtn = new JButton(\"Start\"); stopBtn = new JButton(\"Stop\"); resetBtn = new JButton(\"Reset\"); myTimer1 = new Timer(TENTH_SEC, new ActionListener() { public void actionPerformed(ActionEvent evt) { clockTick++; clockTime = ((double)clockTick)/10.0; clockTimeString = new Double(clockTime).toString(); timeLbl.setText(clockTimeString); //System.out.println(clockTime); } }); startBtn.addActionListener(new ActionListener(){ public void actionPerformed(ActionEvent evt){ myTimer1.start(); } }); stopBtn.addActionListener(new ActionListener(){ public void actionPerformed(ActionEvent evt){ myTimer1.stop(); } }); resetBtn.addActionListener(new ActionListener(){ public void actionPerformed(ActionEvent evt){ clockTick = 0; clockTime = ((double)clockTick)/10.0; clockTimeString = new Double(clockTime).toString(); timeLbl.setText(clockTimeString); } }); }//end of StopWatch constructor public void launchStopWatch() { topPanel = new JPanel(); topPanel.setBackground(Color.orange); bottomPanel = new JPanel(); bottomPanel.setBackground(Color.yellow); topPanel.add(timeLbl); bottomPanel.add(startBtn); bottomPanel.add(stopBtn); bottomPanel.add(resetBtn); this.setLayout(new BorderLayout()); add(topPanel, BorderLayout.CENTER); add(bottomPanel, BorderLayout.SOUTH); setSize(300,200); setBackground(Color.orange); }//end of launchClock public static void main(String[] args) { MyTestFrame myTestFrame1 = new MyTestFrame(); } } class MyTestFrame extends JFrame { StopWatch StopWatch1; public MyTestFrame() { super(\"My Stop Watch\"); setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); Container myPane = getContentPane(); StopWatch1 = new StopWatch(); StopWatch1.launchStopWatch(); myPane.add(StopWatch1); pack(); setVisible(true); } } Solution import java.awt.*; import java.awt.event.*; import javax.swing.*; public class StopWatch extends JPanel { private Timer myTimer1; public static final int ONE_SEC = 1000; //time step in milliseconds public static final int TENTH_SEC = 100; private Font myClockFont; private JButton startBtn, stopBtn, resetBtn; private JLabel timeLbl; private JPanel topPanel, bottomPanel; private int clockTick; //number of clock ticks; tick can .

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In humans, more common type of polymorphism is where both alleles are found in both populations but the expression of same kind of allele is based on the various factors between the two population. Environmental factors influence on the expression of same type of allele or different allele in both population. Migration can affect the frequency of expression of same allele when individuals from one population migrate to other population where there is expression of different allele. When all the members of first population carry different allele from other population, the migrated individuals from second population can change the frequency of first population. Solution In humans, more common type of polymorphism is where both alleles are found in both populations but the expression of same kind of allele is based on the various factors between the two population. Environmental factors influence on the expression of same type of allele or different allele in both population. Migration can affect the frequency of expression of same allele when individuals from one population migrate to other population where there is expression of different allele. When all the members of first population carry different allele from other population, the migrated individuals from second population can change the frequency of first population..

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