Identity theft occurs when someone uses another person's personal identifying information, like their name, identifying number, or credit card number, without their permission, to commit fraud or other crimes. The term identity theft was coined in 1964. Since that time, the definition of identity theft has been statutorily defined throughout both the U.K. and the United States as the theft of personally identifiable information. Identity theft deliberately uses someone else's identity as a method to gain financial advantages or obtain credit and other benefits, and perhaps to cause other person's disadvantages or loss. The person whose identity has been stolen may suffer adverse consequences, especially if they are falsely held responsible for the perpetrator's actions. Personally identifiable information generally includes a person's name, date of birth, social security number, driver's license number, bank account or credit card numbers, PINs, electronic signatures, fingerprints, passwords, or any other information that can be used to access a person's financial resources.Determining the link between data breaches and identity theft is challenging, primarily because identity theft victims often do not know how their personal information was obtained. According to a report done for the FTC, identity theft is not always detectable by the individual victims. Identity fraud is often but not necessarily the consequence of identity theft. Someone can steal or misappropriate personal information without then committing identity theft using the information about every person, such as when a major data breach occurs. A US Government Accountability Office study determined that "most breaches have not resulted in detected incidents of identity theft". The report also warned that "the full extent is unknown". A later unpublished study by Carnegie Mellon University noted that "Most often, the causes of identity theft is not known", but reported that someone else concluded that "the probability of becoming a victim to identity theft as a result of a data breach is ... around only 2%". For example, in one of the largest data breaches which affected over four million records, it resulted in only about 1,800 instances of identity theft, according to the company whose systems were breached.An October 2010 article entitled "Cyber Crime Made Easy" explained the level to which hackers are using malicious software. As Gunter Ollmann,
Chief Technology Officer of security at Microsoft, said, "Interested in credit card theft? There's an app for that." This statement summed up the ease with which these hackers are accessing all kinds of information online. The new program for infecting users' computers was called Zeus; and the program is so hacker-friendly that even an inexperienced hacker can operate it. Although the hacking program is easy to use, that fact does not diminish the devastating effects that Zeus (or other software like Zeus) can do to a computer and the user. For example, programs like Zeus can steal credit card information, important documents, and even documents necessary for homeland security. If a hacker were to gain this information, it would mean identity theft or even a possible terrorist attack. The ITAC says that about 15 million Americans had their identity stolen in 2012.
If I have ABCXC^-1A^-1B^-1=I (that is C, B, A inverse), can I modify the order so that the AA^-1, BB^-1 are multiplied to get the identity matrix so that I can get it down to X=I?
Homework Statement
If S = {s in R such that s=/=1} is an abelian group under circle operation (Circle Operation a*b = a + b -ab for a, b in R) then R is a field
Homework Equations
The verification of the field axioms
The Attempt at a Solution
The field axiom that I'm struggling to...
[SOLVED] A Trigonometric Identity Probelm
If I have sin^2 2x would I be able to apply the identity sin^2x = (1/2)(1-cos2x) to get this:
sin^2 2x = 2(1/2)(1 - cos^2 x)
Similarly, if I had sin^2 2x + cos^2 2x would I be able to use the identity sin^2 x + cos^2 x = 1 to get:
sin^2 2x +...
From what I was reading, the apparent definition goes as: The Identity Function on E is the function IE from E into E defined by IE(x) = x. Since IE is the set of all ordered pairs (x,x) such that x ϵ E, IE is also called the diagonal subset of E x E.
If f is a function from E into F, clearly...
I am having some difficulty with identity matrices in linear algebra at the moment. I am sure it is fairly simple to solve, but I just cannot follow the logic behind this particular problem.
I need to come up with a matrix B (2x2), such that B =/= I but B2 = I
Since
I = (1 0)
(0 1)...
Homework Statement
find arc length of the segment of the 2space curbe that is defined by the parametric equations
x(t) = t-sin(t)
y(t) = 1+cos(t)
0 ≤ t ≤ 4π
The Attempt at a Solution
I've found dx/dt and dy/dt respectively and put them into the arc length equation, i.e...
Homework Statement
In S_3, show that there are four elements satisfying x^2=e and three elements satisfying y^3=e.
The Attempt at a Solution
I don't understand what the question is asking at all...
Hello all,
I have a question I'm having a hard time with in an introductory Algebraic Topology course:
Take two handlebodies of equal genus g in S^3 and identify their boundaries by the identity mapping. What is the fundamental group of the resulting space M?
Now, I know you can glue two...
Homework Statement
Prove that
\frac{cos 3x}{cos x} = 2cos (2x) - 1
Homework Equations
The ones I used:
cos 2x = cos^2 x - sin^2 x
sin^2 x + cos^2 x = 1
The Attempt at a Solution
I *think* that the left hand side cannot be manipulated so I only fooled around with the right hand side...
yet another trig identity...
Homework Statement
prove: cos^(x)= 5/16+15/32(cos2x)+3/16(cos4x)+1/32(cos6x)
Homework Equations
The Attempt at a Solution
i attempted to use the formula cos^2(x)=(1+cos2x)/(2), and square both sides, then use it again for the square roots, then...
Homework Statement
im in first year differential calculas and i have no idea what my prof wrote down...i just copied it and thought ide figure it out later. but i can't fore the life of me.
Homework Equations
the identitie that he wrote is:
sinC+sinB=2Sin (C+D)/2 cos (c-D)/2
The...
Homework Statement
The problem is written as:
Del X (A X B) = (B*DEL)A- (A*DEL)B +A(DEL*B) -B(DEL * A)
where * = dot. I don't know how to evaluate this because if the author meant for the standard mathematical order of operations to apply it makes since they wouldn't have worried about...
I ran across this identity in some actuarial literature:
Pr( (x_1 \le X \le x_2) \ \cap \ (y_1 \le Y \le y_2) ) = F(x_2, y_2) - F(x_1, y_2) - F(x_2, y_1) + F(x_1, y_1)
First of all, I am not certain this is correct. I think the expression on the LHS is equal to the following double...
Homework Statement
http://img206.imageshack.us/img206/9099/titleol2.jpg
http://g.imageshack.us/g.php?h=206&i=titleol2.jpg
Show the above statement is equivalent to : sec (2x) + tan (2x)
Homework Equations
The Attempt at a Solution
First attempt in which I used the...
Homework Statement
sin5xcos3x=sin4xcos4x+sinxcosx, solve the identity
Homework Equations
all the identities and formulas mentioned in my last thread.
The Attempt at a Solution
Alright so I thought I could use the product to sum formula on the left side which ended up being...
How does y = e^(x(1-i)) + e^(x(1+i))
work out to y = (e^x)sinx + (e^x)cosx?
Using Euler's identity I get,
y = (e^x)e^-ix + (e^x)e^ix
y = e^x(cosx - isinx + cosx + isinx)
y = e^x(2cosx)
Homework Statement
Verify the possibility of an identity graphically. (Completed this part)
Then, prove each identity algebraically.
\dfrac{sinx+tanx}{cosx+1}=tanx
Homework Equations
tan\theta=\dfrac{sin\theta}{cos\theta}
cot\theta=\dfrac{cos\theta}{sin\theta}...
Homework Statement
Let l, m, and n be positive integers with l \leq m and l \leq n. Prove the identity.
(\stackrel{m + n}{l}) = (\stackrel{m}{0})(\stackrel{n}{l}) + (\stackrel{m}{1})(\stackrel{n}{l-1})+...+(\stackrel{m}{l})(\stackrel{n}{0})
2. The attempt at a solution
I have no clue, I...
Homework Statement
I'm attempting to prove that
1 - sin^2 t /(1 + cos t) - cos^2/(1+tan t) = cos t sin t
2. The attempt at a solution
I've tried various approaches. The most promising has the LHS reduced to:
(sin t cos t (1 + cos t + sin t cos t))/((1 + cos t)(cos t + sin t))...
Im supposed to verify that (1-sinx)/(1+sinx) = (secx-tanx)^2
RHS = (secx-tanx)^2 = (1/cosx - sinx/cosx)^2 = [(1-sinx) / cosx]^2
= [(1-sinx)(1-sinx)]/cosx^2 = (1-2sinx+sinx^2)/(1-sinx^2)
From here, I'm feeling pretty confused. I'm not even sure if all my values are correct.
I'm having difficulties with a few identity problems and I wanted to make sure I'm doing the ones I believe I did correctly, correctly...
1. (cos^3x)+(sin^2x)(cosx)
(cosx)(cos^2x)+(sin^2x)(cosx)
2cosx
2. (1+cosy)/(1+secy)
(1+cosy)/(1+1/cosy)
(1+cosy)/(1+cosy)
1
3. (tanx)/(secx)...
I am struggleing in an identity, i.e. \nabla_m R_{ikjl}(\overline{\epsilon}\psi^m)(\overline{\psi^i}\psi^j)(\overline{\psi^k}\psi^l)=0 ,
where i,j,k,l,m are dummy indices, \nabla_m is covariant derivative, R_{ikjl} is Riemann-Christoffel curvature tensor, and it is known that, for any two...
can anybody give me the definition of a trig-identity?
And then the definition of an equation?
Because i think that the relation
\tan^2 x + 1 = \sec^2 x
is not an identity.
Given that
1/ f(cx) = k - g(x) and
2/ the above is an identity,
where f(.) and g(.) are two functions
and c, k are real valued constants.
The problem is to infer upon the types of f(.) and g(.).
I have a hunch that f(.) and g(.) are logarithimic functions. Can anyone provide...
for every sequence of numbers a_n E_n is this identity correct ?
\sum_{n= -\infty}^{\infty}a_n e^{2\pi i E_{n}}= \sum_{n= -\infty}^{\infty}a_n \delta (x-E_{n})
Suppose we have a statement A that holds if and only if statement B holds.
"A if and only if B"
I'm fairly sure I read before that this does not necessarily mean that A and B are identical: in general, A <--> B does not imply A = B.
I'm having difficulty determining how A and B could be...
Suppose \phi is a scalar function: R^n\to R, and it satisfies the Poisson equation:
\nabla^2 \phi=-\dfrac{\rho}{\varepsilon_0}
Now I want to calculate the following integral:
\int \phi \nabla^2 \phi \,dV
So using Greens first identity I get:
\int \phi \nabla^2 \phi \,dV = \oint_S \phi...
Alright, I'll need some help formulating this, since my writing tends to be... well... just not very eloquent and representative of my thoughts.
I don't believe in soul, afterlife, or other nonsense. I think our self, our consciousness, is a function of our complex brains.
For what...
Homework Statement
Show that up to "fudge factors" (such as a few theta-nets an a loop) the 2-3 Pachner move is just the Biedenhard-Elliot identity between 6j symbols.
If you go to the Quantum Gravity Seminar notes of Baez and Alvarez, you can see this problem here...
Homework Statement
Let the domain D be bounded by the surface S as in the divergence theorem, and assume that all fields satisfy the appropriate differentiability conditions.
Suppose that:
\nabla\cdot\vec{V}=0
\vec{W}=\nabla\phi with \phi = 0 on S
prove...
Hey folks,
I'm reading the paper: http://arxiv.org/abs/hep-ph/0301168
and I'm trying to make sense of the first line of eqtn 44 where he states that we can write:
\frac{1}{2}\sum \int\frac{d^{2n}k}{(2\pi)^{2n}}log(k^2+\frac{m^2}{L^2})
as...
I was playing around with Euler's identity the other day. I came across something that seems contradictory to everything else I know, but I can't really explain it.
I started with
e^{i\pi} = -1.
I rewrote this as
ln[-1] = i\pi
Multiplying by a constant, we have
kln[-1] = ki\pi...
Hi,
I'm new to this site and I'm very happy that I found it. My Pre-cal 2 teacher has been no help to me when it comes to explaining certain steps needed to solve a problem. Overall I'm having a hard time choosing the correct identity needed to solve the problems. However what I do not...
Homework Statement
Prove that there is no holomorphic function f in the open unit disk such that f(1/n)=((-1)^n)/(n^2) for n=2,3,4...
Homework Equations
The identity theorem: Let f and g be holomorphic functions in the connected open subset of C, G. If f(z)=g(z) for all z in a subset...
Hi
I am a Mech Engg student trying to study how stress is defined in quantum mechanics. I am referring to a paper where the following identity is given but i am not sure how to go about proving it
The identity is
\[
\left\{ {\hat A,\left[ {\nabla _i \nabla _i ,\delta \left( {{\bf{\hat r}} -...
Homework Statement
Suppose P \in L(V) and P^2 = P. Prove that (I+P) is invertible.
Homework Equations
The Attempt at a Solution
Am I right to assume that since P^2 = P, P = I?
well trying to help my little brother with some chem homework, and i believe i am just thinking too hard about this question
anyways its a whole chem lab thingy about the composition of pennies and one of the thinking questions is
now when it says "identity" I am assuming they are...
[SOLVED] Identity in a subring
Homework Statement
In Dummit & Foote on the section on tensor product of modules (10.4 pp.359), the authors write
"Suppose that the ring R is a subring of the ring S. Throughout this section, we always assume that 1_R=1_S (this ensures that S is a unital...
[SOLVED] Sigma Notation Question/Trig Identity
I posted this elsewhere but I think I put it in the wrong place so I'm going to post my question again here.
Basically I have to deduce the second formula from the first. Both equations are the same except for the top of the right side...
Homework Statement
The identity below is significant because it relates 3 different kinds of products: a cross product and a dot product of 2 vectors on the left side, and the product of 2 real numbers on the right side. Prove the identity below.
| a × b |² + (a • b)² = |a|²|b|²...
Has anyone seen this identity:
g^{ab}\nabla g_{ab}=\nabla ln|g|
I've seen it used, but want to figure out where it comes from.
Does anyone know a name or have any ideas??
Integral inequality and comparison
Homework Statement
Prove the inequality
\frac{2}{(n+1) \cdot \pi} \leq a_n \leq \frac{2}{n \pi}}
where a_n = \int_{0}^{\pi} \frac{sin(x)}{n \cdot \pi +x} dx
and n \geq 1
The Attempt at a Solution
Proof:
If n increased the left side of...