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A short description of how to add a barcode to an Excel document and link the barcode with a cells content. First launch Excel and create a new document or ...
Unlike the previous two protocols, the RSA scheme is an example of public-key cryptography: anybody can send a message to anybody else using publicly available information, rather like addresses or phone numbers Each person has a public key known to the whole world and a secret key known only to him- or herself When Alice wants to send message x to Bob, she encodes it using his public key He decrypts it using his secret key, to retrieve x Eve is welcome to see as many encrypted messages for Bob as she likes, but she will not be able to decode them, under certain simple assumptions The RSA scheme is based heavily upon number theory Think of messages from Alice to Bob as numbers modulo N ; messages larger than N can be broken into smaller pieces The encryption function will then be a bijection on {0, 1, , N 1}, and the decryption function will be its inverse What values of N are appropriate, and what bijection should be used Property Pick any two primes p and q and let N = pq For any e relatively prime to (p 1)(q 1): 1 The mapping x xe mod N is a bijection on {0, 1, , N 1} 2 Moreover, the inverse mapping is easily realized: let d be the inverse of e modulo (p 1)(q 1) Then for all x {0, , N 1}, (xe )d x mod N The rst property tells us that the mapping x x e mod N is a reasonable way to encode messages x; no information is lost So, if Bob publishes (N, e) as his public key, everyone else can use it to send him encrypted messages The second property then tells us how decryption can be achieved Bob should retain the value d as his secret key, with which he can decode all messages that come to him by simply raising them to the dth power modulo N Example Let N = 55 = 5 11 Choose encryption exponent e = 3, which satis es the condition gcd(e, (p 1)(q 1)) = gcd(3, 40) = 1 The decryption exponent is then d = 3 1 mod 40 = 27 Now for any message x mod 55, the encryption of x is y = x 3 mod 55, and the decryption of y is x = y 27 mod 55 So, for example, if x = 13, then y = 13 3 = 52 mod 55 and 13 = 5227 mod 55 Let s prove the assertion above and then examine the security of the scheme Proof If the mapping x xe mod N is invertible, it must be a bijection; hence statement 2 implies statement 1 To prove statement 2, we start by observing that e is invertible modulo (p 1)(q 1) because it is relatively prime to this number To see that (x e )d x mod N , we examine the exponent: since ed 1 mod (p 1)(q 1), we can write ed in the form 1 + k(p 1)(q 1) for some k Now we need to show that the difference xed x = x1+k(p 1)(q 1) x is always 0 modulo N The second form of the expression is convenient because it can be simpli ed using Fermat s little theorem It is divisible by p (since x p 1 1 mod p) and likewise 39. tbarcode excel Barcodes in Excel 2003, XP, 2000 spreadsheets - ActiveBarcode
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If you want to avoid the hassle of using of VBA formulas in Excel when generating a large number of barcodes . , you will find the Add -in for Excel an excellent ... Untreated, bacterial meningitis is usually fatal The overall mortality rate of uncomplicated but treated H in uenzae and meningococcal meningitis has remained at about 5 percent for many years; in pneumococcal meningitis, the rate is considerably higher (approximately 15 percent) Fulminant meningococcemia, with or without meningitis, also has a high mortality rate because of the associated vasomotor collapse and infective shock associated with adrenocortical hemorrhages (Waterhouse-Friderichsen syndrome) A disproportionate number of deaths from meningitis occur in infants and in the aged The mortality rate is highest in neonates, from 40 to 75 percent in several reported series, and at least half of those who recover show serious neurologic sequelae In adults, the presence of bacteremia, coma, seizures, and a variety of concomitant diseases including alcoholism, diabetes mellitus, multiple myeloma, and head trauma all worsen the prognosis The triad of pneumococcal meningitis, pneumonia, and endocarditis has a particularly high fatality rate It is often impossible to explain the death of a patient with meningitis or at least to trace it to a single speci c mechanism The effects of overwhelming infection, with bacteremia and hypotension or brain swelling and cerebellar herniation, are clearly implicated in some patients during the initial 48 h These events may occur in bacterial meningitis of any etiology; however, they are more frequent in meningococcal and pneumococcal infection Some of the deaths occurring later in the course of the illness are attributable to respiratory failure, often consequent to aspiration pneumonia It has been stated that relatively few adult patients who recover from meningococcal meningitis show residual neurologic defects, whereas such defects are encountered in at least 25 percent of children with H in uenzae meningitis and up to 30 percent of child and adults patients with pneumococcal meningitis Kastenbauer and P ster, reporting on 87 adults with pneumococcal meningitis, have emphasized that the mortality remains quite high (24 percent in their series) and that cerebral venous or arterial thrombosis occurred in almost a third of cases as discussed further on They also had two patients with an associated myelitis We have seen two instances of upper cervical cord infarction in bacterial meningitis; quadriparesis and respiratory failure were the result of compression from descent of the cerebellar tonsils (Ropper and Kanis) As already discussed, the role of lumbar puncture in promoting this complication has not been clari ed. Figure 19 RSA Bob chooses his public and secret keys He starts by picking two large (n-bit) random primes p and q . excel barcode generator open source How to create barcode in Excel using barcode font - YouTube
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