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The crookedness may be an emergent property that arises from managers following their own personal and departmental imperatives For example, managers often buy products and services that they know to be suboptimal or even defective, but which are from big-name suppliers This is known to minimize the likelihood of getting fired when things go wrong Corporate lawyers don t condemn this as fraud, but praise it as due diligence The end result may be that the relying party, the customer, has no say whatsoever, and will find it hard to get redress against the bank, the vendor, the evaluator, or the government when things go wrong Another serious and pervasive problem is that the words assurance and evaluation are often interpreted to apply only to the technical aspects of the system, and ignore usability (not to mention the even wider issues of appropriate internal controls and good corporate governance).

) Euler s function (n) is the number of positive integers less than n with which it has no divisor in common; so if n is the product of two primes pq then (n) = (p 1) (q 1) (the proof is similar) The encryption key is a modulus N which is hard to factor (take N = pq for two large randomly chosen primes p and q), plus a public exponent e that has no common factors with either p 1 or q 1 The private key is the factors p and q, which are kept secret Where M is the message and C is the ciphertext, encryption is defined by: C Me modulo N Decryption is the reverse operation: M e C modulo N Whoever knows the private key the factors p and q of N can easily calculate e C (mod N).

Company directors also want assurance that the di526.

As (N) = (p 1)(q 1), and e has no common factors with (N), the key s owner can find a number d such that de 1(modulo (N)) she finds the value of d separately, modulo p 1 and q 1, and combines the answers Thus, e C (modulo N) is now computed as C d (modulo N), and decryption works because of Fermat s theorem: C d {Me} d Med M1+k (N) M Mk (N) M 1 M modulo N Similarly, the owner of the private key can operate on the message with this to produce a digital signature: Sigd (M) Md modulo N and this signature can be verified by raising it to the power e mod N (thus, using e and N as the public signature verification key) and checking that the message M is recovered: M (Sigd (M))e modulo N 105.

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acknowledged that her husband played mom and dad at home, which, when she reached the stratosphere at Mattel, was a spectacular mansion in movie-star-land on Sunset Boulevard in Bel-Air, a big move up the real estate ladder from the far simpler home the Barads rst owned in swanky Paci c Palisades Besides her husband taking care of the domestic end, there was a fulltime live-in nanny and housekeeper As a working mom and career woman with her eye always on the top job, sometimes putting in 12-hour days not because she had to, but because she wanted to Barad once acknowledged that the most painful moment in her life was when her rst-born s thirdgrade teacher met her for the rst time and blurted out, Oh, Alex really does have a mom Barad believed concessions have to be made in order to have it all.

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For important times in her children s lives, she made sure either she or her husband was on hand Later, she took her sons on glamorous trips overseas while on Mattel business, and brought them to Mattel headquarters to test new toys Over the years prior to her fall from grace, Barad was heralded by the media as the poster girl for successful career women she had beauty, brains, a powerful job, and a family to boot and was praised by feminists and business leaders alike for her ability to balance it all The Los Angeles Times, in one of the rst of what would be many glowing pro les of Barad as she rose to power, and before her fall, reported that she doubled sales of the company s line of girls toys by introducing female action dolls .