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second input which has the same hash value as any iven input Thus given an input x, it should be infeasible to nd any other input y such that both x and y hash to the same value Note that the function x 2 mod n does not have this property as both x and x have the same hash value Strong collision resistance implies that it is computationally infeasible to nd any two distinct inputs which hash to the same value Thus, in this case, it is infeasible to nd any x and y values such that both x and y have the same hash value Note that this is stronger than weak collision resistance since for the weak collision resistance property we x one of the inputs while for the strong collision property we do not x either of the inputs Thus, strong collision resistance does imply weak collision resistance In addition there are other properties such as noncorrelation, near-collision resistance and partial pre-image resistance that are desirable in hash algorithms used as cryptographic primitives Noncorrelation ensures that the input and output bits of the hashing function are not correlated In fact, an avalanche property, whereby any change in one of the input bits causes at least half of the output bits to change randomly, is desirable Near-collision resistance ensures that it is dif cult to nd any two inputs whose hash values differ in only a small number of bits Partial pre-image resistance makes it as hard to recover any portion of the input as it is to recover the entire input given the hash value A hash value is very frequently used to create a digital signature In this case, the hash value of a message is created and the signer signs the hash value rather than signing the message This is more ef cient from the point of view of performance since a hashing primitive is much faster than an asymmetric cryptographic primitive In addition, a hash value can be used to detect changes to a message provided that the corresponding hashing algorithm has been designed such that collisions are computationally dif cult to nd Thus, the hashing functions are used mainly to ensure data integrity and message authentication Secure hash algorithm (SHA) is a widely used hashing algorithm SHA was designed by NIST and NSA in 1993 and revised in 1995 as SHA-1 This algorithm takes an arbitrarily sized input and produces 160 bit hash values A message is processed in terms of 512 bit chunks over four rounds of 20 steps each SHA-256, SHA-384, and SHA-512 have also been speci ed These produce 256, 384 and 512 bit hash values Given that SHA-1 produces 160 bit hash values, the probability of nding a collision is negligibly small More precisely, this probability is one in 280 (follows from the birthday paradox) Thus, if we hashed 280 messages, we would nd one pair of messages that hashed to the same value This is the brute force approach to nding collisions for hashing algorithms It is clear that the dif culty of this approach depends on the size of the output hash value It is desirable that the brute force approach be the best way to determine collisions for a given hash algorithm To break a hash algorithm, an adversary will have to be able to nd collisions while expending fewer cycles than needed by the brute force approach SHA-1 has been broken using this de nition The authors in [9] have shown the ability to nd collisions in SHA-1 using about 263 calculations In order to understand the gravity of the problem, note that using today s technology it is expected that 260 calculations might require a couple of days On the positive side, however, note that these are collision attacks and not attacks on the pre-image property of SHA-1, and collision attacks are typically important in the case of digital signatures As a result, many protocols will not be impacted by this result In addition, leveraging these theoretical results to design software.

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Since ROE is computed from accounting data, you should use it as a starting point for inferring stock returns, but be careful not to follow the numbers blindly As you may know, there are far too many caveats to consider when you use accounting numbers in complex settings For example, when a company purchases its own shares in the market or pays dividends, book value of equity s reduced and the ROE may temporarily become very high In general, you should not rely on any one nancial ratio You should study growth in earnings per share over an extended period beyond examining the levels of ROE Any nancial ratio can be meaningless or lead you to misleading inferences under certain circumstances Here is an example to illustrate this point I analyzed IBM s 2004 nancial data in 2005 and discovered that the average ROE for the six years that ended in 2004 was 315 percent At rst glance, this seemed to be very good However, IBM s growth in earnings per share (EPS) was pitiful EPS was $425 in 1999 and remained about the same, except for an increase in 2004 to $493 On a compounded basis, the annual growth rate was only 25 percent If the ROE was 315 percent, why did the EPS fail to grow Where were those earnings used With a little more analysis of the nancial statements, I discovered the main reason The company purchased shares at market prices but issued them to employees below cost as compensation For IBM, the net result was that shareholders equity did not grow because some of the earnings were effectively used for employee compensation and for repurchases As the IBM example demonstrates, if earnings are not increasing, you should determine if the shareholders are getting dividends, if the company is buying shares back, or if the funds are being used in an unproductive manner When you are not comfortable with the computed ROE and growth in earnings, you might still ask, What is the value of the company s common stock There are usually no easy answers, but you should be able to nd out what is going on by analyzing the nancial statement Unless you know the answer, avoid investing in that company This advice is similar to Buffett s argument that investors should stay in their circles of competence In this case, instead of focusing on the company s products, I am focusing on the company s accounting output such as earnings In the case of IBM, dividends had grown at the rate of 6 percent in recent years Using this growth rate and a discount rate of 10 percent, I valued.

WSRM is focused around resource allocation policies, which consist of either a number of processes or users to which the resource allocation policy applies You can also use generic resource allocation polices, which are provided out of the box (see Figure 19-30) The policies can be used to con gure resource usage so it s spread equally between the processes, users, or sessions on the system (or even spread over IISAppPool instances on a IIS Web server These resource allocation policies can then be con gured to manage the resources on the system using the Set as Managing Policy option If you just want to collect data on process usage based on the policy, use the Set as Pro ling Policy action To create your own policy, rst create a new process-matching policy to detail the applications or users/groups that the resource allocation policy will apply to Select Process Matching Criteria in the console tree and select the New Process Matching Criteria action A name is given to the criteria Click the Add button to add a new rule for the matching criteria This can consist of selecting running processes, services, an application, or IIS App Pool (see Figure 19-31), or users or groups can be selected If an application is selected, a le Explorer dialog is opened, allowing executable or COM les to be selected; however, if Running Process is selected, a process list is displayed that allows processes to be chosen from those currently running This is the same for registered services: a list of services is displayed that can be selected for inclusion in the policy Each processingmatching criteria instance can be assigned portions of resources to be.

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