let an=(-1)^(2n+1)and L=-1let us ahow that L=lim anindeed if e.pdf

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let an=(-1)^(2n+1) and L=-1 let us ahow that L=lim an indeed if e >0 we must find N such that if n>=N then |an+1|< e that is examine the quantity |an+1| find the natural number N |an+1|=|(-1)2n+1+1| =|(-1)2n+(-1)1+1| =|1-1+1|=1=n thus |an+1| <= 1/n therefore n is an integer for which N>1/e therefore for every e>0 there exist a natural number N such that n>=N then |an-L|<1/n<1/N infinity [(-1)2n+1] = -1 Solution let an=(-1)^(2n+1) and L=-1 let us ahow that L=lim an indeed if e >0 we must find N such that if n>=N then |an+1|< e that is examine the quantity |an+1| find the natural number N |an+1|=|(-1)2n+1+1| =|(-1)2n+(-1)1+1| =|1-1+1|=1=n thus |an+1| <= 1/n therefore n is an integer for which N>1/e therefore for every e>0 there exist a natural number N such that n>=N then |an-L|<1/n<1/N infinity [(-1)2n+1] = -1.

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The Northeast blackout of 2003 was a widespread power outage that occurred throughout parts of the Northeasternand Midwestern United States and the Canadian province of Ontario on Thursday, August 14, 2003, just after 4:10 p.m. All told, 50 million people lost power for up to two days in the biggest blackout in North American history. The event contributed to at least 11 deaths and cost an estimated $6 billion. A surge of electricity to western New York and Canada touched off a series of power failures and enforced blackouts that left parts of at least eight states in the Northeast and the Midwest without electricity.Transmission system operators scattered across some 300 control centers nationwide monitor voltage and current data from SCADA (supervisory control and data acquisition) systems placed at transformers, generators and other critical points.The widespread failures provoked the evacuation of office buildings, stranded thousands of commuters. As circuit breakers tripped at generating stations from New York to Michigan and into Canada, millions of people were instantly caught up in the largest blackout in American history. In New York City, power was shut off by officials struggling to head off a wider blackout. Cleveland and Detroit went dark, as did Toronto and sections of New Jersey, Pennsylvania, Connecticut and Massachusetts. Officials worked into the night to put the grid back in operation and restore electric service. Mayor Michael R. Bloomberg said that that the power was back on in parts of Brooklyn, the Bronx and Queens by 11 p.m. -- but not Manhattan. The blackout began just after the stock exchanges had closed for the day, a slow summer day of relatively light trading, as thousands of workers were about to head home. Office workers who were still at their desks watched their computer monitors blink off without warning on a hot and hazy afternoon. Soon hospitals and government buildings were switching on backup generators to keep essential equipment operating, and the police were evacuating people trapped in elevators. Airports throughout the affected states suffered serious disruptions, including the three major airports in the New York metropolitan region, but did not close. Thousands of subway passengers in New York City had to be evacuated from tunnels, and commuter trains also came to a halt. Gov.George E. Pataki said that 600 trains were stranded.The office of the Canadian prime minister, Jean Chrétien, initially said the power problems were caused by lightning in New York State but later retracted that. Canadian officials later expressed uncertainty about the exact cause but continued to insist the problem began on the United States side of the border. The Nuclear Regulatory Commission said that the seven nuclear plants in New York and New Jersey and two in the Midwest had shut down automatically when the failure occurred.Telephone service was disrupted, especially calls to and from cellular phones.Officials said the.

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Solution : Domain name system is used to determine the IP address of the host/domain name. DNS is very useful to every user where it helps retrieve the website IP address. Without DNS we cannot retrieve the website IP address. This process is known as forward DNS resolution. DNS should be registered by some companies. If any attacker has details then the dns will be controlled by the attacker. when we are sending the e-mail the dns data will be used then it can be catches anywhere in the network. So it is very important that a DNS require reliable communications..

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Polymerase chain reaction (PCR) is a process used to replicate DNA in vitro. DNA replication is the biological process by which original DNA molecule replicate in to two identical replicas of DNA. DNA polymerase III replicate the Prokaryotic DNA in 5\' to 3\' at a rate of 1 kb/s but 1-4 kb/min in a typical PCR reaction. Prokaryotic DNA is circular and replication starts at single origin (ori C). It do not occur in PCR. Prokaryotic DNA replication is followed by the three basic step:- 1. initiation, 2. elongation, and 3. termination. The process of PCR is followed by the three basic step:- 1. Denaturation, 2.,Annealing, and 3. Primer Extension 1) the process of forming single stranded DNA, :-In PCR the DNA denatures at high tempreture, at 95oC to form its single-stranded. During the prokaryotic DNA Replication, Ori C unwinds the DNA by DNA B or helicase, and extension of ssDNA for copying during initiation step. 2) priming of the DNA polymerase,:-In PCR primer binds with the complementry strand of DNA during the Annealing step. In prokaryotic replcation, primase form RNA primer extended by DNA polymerase III,during the elongation step. Synthesis ofleading strand and lagging strand takes place in this step. It do not occur in PCR. 3) the DNA polymerase itself:-In prokaryotic DNA replication DNA polymerase III synthesize the segment of DNA for both leading and lagging strand. In PCR, DNA polymerase extends the primer, Taq polymerase, is used in this process and extension is performed at 72oC. 4) the end product:- As a PCR two ds DNA is formed. And in prokaryotic DNA replication 2 circular DNA is formed , which remain interlinked and topoisomerase II make them seprate by making cut over them. Protien involed in prokaryotic DNA replication:- Dna A protein-It initiate DNA replication by the binding with the Dna A boxes. Dna helicase- it seprates the ds DNA. Topoisomerase- From the replication fork, it removes positive supercoiling. Single stranded binding protein-to prevent the reformation of ds DNA, it binds with single stranded structure, primase - synthesis the short RNA primer. DNA polymerase III-In the leading and lagging strands, it synthesize the DNA. DNA polymerase I- Removes RNA primer DNA ligase- it joins the fragments. Tus;-binds with ter sequence. DNA replication different than PCR:--PCR generates large quantities of DNA from very small amount of DNA, PCR is a INVITRO technique, while DNA replication occurs inside the iving system, it is a invivo technique. The whole DNA is replicated, in DNA replication, while in PCR the amplification of segment of DNA takes place. Solution Polymerase chain reaction (PCR) is a process used to replicate DNA in vitro. DNA replication is the biological process by which original DNA molecule replicate in to two identical replicas of DNA. DNA polymerase III replicate the Prokaryotic DNA in 5\' to 3\' at a rate of 1 kb/s but 1-4 kb/min in a typical PCR reaction. Prokaryotic DNA is circular and replication st.

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Glutamic acid and Lycine: Hydrogen bonding could occur between the NH3+ group of Lysine and the COO- group of Glutamic acid; and Van der Waals (nonpolar-nonpolar) forces/interactions could arise between the nonpolar methylene groups of both R groups. Phenylalanine and Isoleucine: Phenylalanine is quite hydrophobic so it works in hydrophobic reactions. Both have nonpolar R groups so the only interactions they could undergo would be the weakly attractive Van der Waals forces between the methylene groups of both R groups. However, Phenylalanine is an aromatic compound with an aromatic ring, which is capable of undergoing noncovalent Pi-system interactions but not with Isoleucine because it is not polar enough to distort the Pi system of the aromatic ring. Solution Glutamic acid and Lycine: Hydrogen bonding could occur between the NH3+ group of Lysine and the COO- group of Glutamic acid; and Van der Waals (nonpolar-nonpolar) forces/interactions could arise between the nonpolar methylene groups of both R groups. Phenylalanine and Isoleucine: Phenylalanine is quite hydrophobic so it works in hydrophobic reactions. Both have nonpolar R groups so the only interactions they could undergo would be the weakly attractive Van der Waals forces between the methylene groups of both R groups. However, Phenylalanine is an aromatic compound with an aromatic ring, which is capable of undergoing noncovalent Pi-system interactions but not with Isoleucine because it is not polar enough to distort the Pi system of the aromatic ring..

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For H2SO3 pK1 = 1.8 and pK2 = 7.2 and thus K1 = 1.58E-2 and K2 = 6.31E-8 For a given pH (get to this in a minute), it can be shown [H+]=10^-pH [OH-] = Kw / [H+] where Kw is the ion product of water (1E-14) [H2SO3] = [H+]^2 / f [HSO3-] = K1 [H+] / f [SO3--] = K1 K2 / f where f = [H+]^2 + K1[H+] = K1K2 Given that H2SO3 is a weak acid, lets assume that the pH is described by K1 or [H+] = sqrt(K1 C) where C is the acid conc (mol/l). This leads to a [H+] = 0.05 and a pH = 1.07 Using the [H+] and data above yields in mol/l [H+] 8.51E-02 [OH-] 1.17E-13 [H2SO3] 3.88E-01 [HSO3-] 7.22E-02 [SO3--] 5.35E-08 Note the above data describes the acid as 15% dissociated and the assumptiom that the pH of the solution is best described by K1 is not necessarily a good assumption. A better way is as follows :- The charge balance is this system is given by [H+] = [OH-] + [HSO3-] + 2*[SO3--] Set up all the above relationships in MS Excel and Goal Seek a pH that makes the above charge balance correct. Doing this yields a pH = 1.11 and the following concs (mol/l) [H+] 7.78E-02 [OH-] 1.28E-13 [H2SO3] 3.82E-01 [HSO3-] 7.78E-02 [SO3--] 6.31E-08 Be mindful that in all this calculation, ionic strength impacts (ie activities) have been ignored or activity coefficients have been taken as 1 Solution For H2SO3 pK1 = 1.8 and pK2 = 7.2 and thus K1 = 1.58E-2 and K2 = 6.31E-8 For a given pH (get to this in a minute), it can be shown [H+]=10^-pH [OH-] = Kw / [H+] where Kw is the ion product of water (1E-14) [H2SO3] = [H+]^2 / f [HSO3-] = K1 [H+] / f [SO3--] = K1 K2 / f where f = [H+]^2 + K1[H+] = K1K2 Given that H2SO3 is a weak acid, lets assume that the pH is described by K1 or [H+] = sqrt(K1 C) where C is the acid conc (mol/l). This leads to a [H+] = 0.05 and a pH = 1.07 Using the [H+] and data above yields in mol/l [H+] 8.51E-02 [OH-] 1.17E-13 [H2SO3] 3.88E-01 [HSO3-] 7.22E-02 [SO3--] 5.35E-08 Note the above data describes the acid as 15% dissociated and the assumptiom that the pH of the solution is best described by K1 is not necessarily a good assumption. A better way is as follows :- The charge balance is this system is given by [H+] = [OH-] + [HSO3-] + 2*[SO3--] Set up all the above relationships in MS Excel and Goal Seek a pH that makes the above charge balance correct. Doing this yields a pH = 1.11 and the following concs (mol/l) [H+] 7.78E-02 [OH-] 1.28E-13 [H2SO3] 3.82E-01 [HSO3-] 7.78E-02 [SO3--] 6.31E-08 Be mindful that in all this calculation, ionic strength impacts (ie activities) have been ignored or activity coefficients have been taken as 1.

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How the standard developed? 1) The standards are developed to this stage is just because of the customers. 2) Meetings will be held how to develop or how to enhance this. 3) The solution to this problem comes by thinking from the customer\'s point of view only. 4) Though the customer is not present in the meeting, the solution comes from their point of view. 5) So the only person that lead to development is the customer. How are standards born? 1) The rules of the individual standards body. 2) The main principal of Internet standards body is the Internet Engineering Task Force. 3) Anyone can participate in the IETF and standards coming out of this body are freely available to the public. 4) The standards process in a nutshell it actually means one writes an Internet Draft RFC and sends it to the IETF for review. 5) The work can directly become a standard but more often than not, it’s developed further by an IETF working group. 6) After a time, the working group then decides whether or not to approve the draft. 7) The broader community is then given a final opportunity to comment. 8) The Internet Engineering Steering Group makes a final judgment as to whether or not there is at least rough consensus to publish the edited document as an Internet standard. 9) A key factor that opinion within the IETF is whether or not there is running code. Internet Society: 1) Founded 1991 by Internet Pioneers Founded 1991 by Internet Pioneers 2) International, not-for-profit, membership org. International, not-for-profit, membership org. a) 80+ organisation organisation members members b) 21,000+ individual members 21,000+ individual members c) 75+ chapters, 10+ chapters forming 3) Organisation Organisation members fund activities in members fund activities in a) Standards Standards b) Education Education c) Policy Solution How the standard developed? 1) The standards are developed to this stage is just because of the customers. 2) Meetings will be held how to develop or how to enhance this. 3) The solution to this problem comes by thinking from the customer\'s point of view only. 4) Though the customer is not present in the meeting, the solution comes from their point of view. 5) So the only person that lead to development is the customer. How are standards born? 1) The rules of the individual standards body. 2) The main principal of Internet standards body is the Internet Engineering Task Force. 3) Anyone can participate in the IETF and standards coming out of this body are freely available to the public. 4) The standards process in a nutshell it actually means one writes an Internet Draft RFC and sends it to the IETF for review. 5) The work can directly become a standard but more often than not, it’s developed further by an IETF working group. 6) After a time, the working group then decides whether or not to approve the draft. 7) The broader community is then given a final opportunity to comment. 8) The Internet Engineering Steering Group makes a final judg.

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Hi! The chlorphylls having lower Rf values indicates that they interact more strongly with the solvent. Both chlorophylls are polar while carotenes are non-polar. If the solvent being used for TLC is mostly non-polar, we would expect the carotenes to interact more strongly and have lower Rf values and vice versa. Other variations in Rf values (such as those between chlorophyll a and b) may indicate slight differences in polarity (perhaps there are nonpolar regions on the molecule even though it is polar overall) or differences in molecular weight (the heavier, the slower the molecule moves up the plate.) I hope this helps! Please don\'t forget to rate : ) Solution Hi! The chlorphylls having lower Rf values indicates that they interact more strongly with the solvent. Both chlorophylls are polar while carotenes are non-polar. If the solvent being used for TLC is mostly non-polar, we would expect the carotenes to interact more strongly and have lower Rf values and vice versa. Other variations in Rf values (such as those between chlorophyll a and b) may indicate slight differences in polarity (perhaps there are nonpolar regions on the molecule even though it is polar overall) or differences in molecular weight (the heavier, the slower the molecule moves up the plate.) I hope this helps! Please don\'t forget to rate : ).

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Clastic structure: 1)Rounding:it is the degree of smoothing due to abrasion of sedimentary particles.it is expressed as the ratio of the average radius of curvature of the edges or corners to the radius of curvature of the max inscribed sphere.the sphere are angular,very angular,sub angular,sub ronded,well rounded. 2)sorting:the distribution of grain size of sediments either in consolidated deposits.sorting in sediments very poorly sorted,poorly sorted,moderately sorted,w ell sorted.the degree of sorting may also indicate the energy,rate,duration of deposition,as well as the transport process.it is effected by the reworking of material after deposition. 3)compaction:the process by which asediment progresivelly loses its porosity due to the effect of loading.when a layer of sediments is originally deposited,it contains an open fame work of particles with the pore space being usually filled with water. 4)cementation:it involves ions carried in ground water chemical participating to from new crystalline material between sedimentary grains.it occurred as part of the diagenesis of sediments.cementation occured primarily below the water table regardless of sedimentar grin size present. non clastic texture. 1)crystalline texture:it are visible and form an interlocking network.unlike igneious crystalline textures.sedimentary crystallind textures are typically formed one material throught the entire rock. 2)skeletal texture:it term used to describe the habit of enhedral to subhedral crystals in igneous rock contains crystallogically oriented hallows and gaps.crystalls can bdescribed as re-entrant.the voids with in skeletal crystals are filled with ground mass material. 3)oolite texture:it is a sedimentary rock formed by ooids,spherical grains composed of concentric layers.oolites consisted of ooids of diameter 0.25-2mm rocks composed of ooids larger than 2mmare called pisolites. Solution Clastic structure: 1)Rounding:it is the degree of smoothing due to abrasion of sedimentary particles.it is expressed as the ratio of the average radius of curvature of the edges or corners to the radius of curvature of the max inscribed sphere.the sphere are angular,very angular,sub angular,sub ronded,well rounded. 2)sorting:the distribution of grain size of sediments either in consolidated deposits.sorting in sediments very poorly sorted,poorly sorted,moderately sorted,w ell sorted.the degree of sorting may also indicate the energy,rate,duration of deposition,as well as the transport process.it is effected by the reworking of material after deposition. 3)compaction:the process by which asediment progresivelly loses its porosity due to the effect of loading.when a layer of sediments is originally deposited,it contains an open fame work of particles with the pore space being usually filled with water. 4)cementation:it involves ions carried in ground water chemical participating to from new crystalline material between sedimentary grains.it occurred as part of the diage.

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let an=(-1)^(2n+1)and L=-1let us ahow that L=lim anindeed if e.pdf

1. let an=(-1)^(2n+1) and L=-1 let us ahow that L=lim an indeed if e >0 we must find N such that if n>=N then |an+1|< e that is examine the quantity |an+1| find the natural number N |an+1|=|(-1)2n+1+1| =|(-1)2n+(-1)1+1| =|1-1+1|=1=n thus |an+1| <= 1/n therefore n is an integer for which N>1/e therefore for every e>0 there exist a natural number N such that n>=N then |an-L|<1/n<1/N infinity [(-1)2n+1] = -1 Solution let an=(-1)^(2n+1) and L=-1 let us ahow that L=lim an indeed if e >0 we must find N such that if n>=N then |an+1|< e that is examine the quantity |an+1| find the natural number N |an+1|=|(-1)2n+1+1| =|(-1)2n+(-1)1+1| =|1-1+1|=1=n thus |an+1| <= 1/n therefore n is an integer for which N>1/e therefore for every e>0 there exist a natural number N such that n>=N then |an-L|<1/n<1/N infinity [(-1)2n+1] = -1

let an=(-1)^(2n+1)and L=-1let us ahow that L=lim anindeed if e.pdf

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let an=(-1)^(2n+1)and L=-1let us ahow that L=lim anindeed if e.pdf