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 A later unpublished study by Carnegie Mellon University noted that "Most often, the causes of identity theft is not known", but reported that someone else concluded that "the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.
Homework Statement
Prove the following when p is a positive integer:
b^p - a^p = (b-a)(b^{p-1}+b^{p-2}a+b^{p-3}a^2+...+ba^{p-2}+a^{p-1})
Hint: Use the telescoping property for sums.
Homework Equations
None
The Attempt at a Solution
I tried reducing it to, (b-a)\sum_{k=1}^p...
Homework Statement
Show the following identity (in the sense of distribution): g(\bold x)\delta (\bold x)=g(\bold 0) \delta (\bold x) for a function g.
Homework Equations
No idea.
The Attempt at a Solution
I don't have a concrete idea about what a distribution is (It's an...
Let R be a ring with multiplicative identity 1R. Suppose that R is finite. The elemets xy1, xy2,...xyn are all different. So x y_i=1R for some i.
A lemma that is not proven is given. If xyi=1R & yjx=1R, then yi=yj
I need to show that yjx=1R.
Right now I haven't got much. I took...
After reading an e-mail about a lawyer's identity being stolen and what he did to fight back I thought it was good enough to pass on.
See what you think..
Hi, I would like some help in proving the following identity:
\sum_{x=0}^{n}x^3 = 6\binom{n+1}{4} + 6\binom{n+1}{3} + \binom{n+1}{2}
I tried doing it by induction but that did not go well (perhaps I missed something). Someone told me to use the fact that \binom{x}{0}...
Homework Statement
Hi. I need to prove that [b x c, c x a, a x b] = [a, b, c]2 for any three vectors a, b and c.
Note that [a, b, c] = a(b x c)Homework Equations
I tried using the identify (a x b) x c = (a.c)b - (a.b)c
The Attempt at a Solution
Using the above identity I got [b x c, c x a...
Hello all, I'm doing a question for the maths module in my physics degree (I'm a second year undergrad) and there's a question I'm doing on basis functions.
Homework Statement
Verify that functions of the type f_{n}(x) = A cos \frac{2\pi n x}{L} where n = 0,1,2... can be used as a basis...
Say i have a matrix ,
\begin{bmatrix}{4}&{3}\\{-1}&{7}\end{bmatrix}+5
is it correct if i do it this way ,
\begin{bmatrix}{4}&{3}\\{-1}&{7}\end{bmatrix}+5\begin{bmatrix}{1}&{0}\\{0}&{1}\end{bmatrix}
=\begin{bmatrix}{9}&{3}\\{-1}&{12}\end{bmatrix}
is 5 a scalar = 5I where I is an...
Homework Statement
prove that: tan(1+cos(x))^2 = 1-cos(x)
Homework Equations
trig identities, like the pythagorean, sum/difference, double/half angle identities, power reducing identities, etc...
The Attempt at a Solution
i'm not sure where to start; i tried using the pythagorean...
So I'm given a problem in which I have to prove an identity. It goes:
2csc2x=csc^2xtanx
I did the problem myself and could only get to 2csc2x=2\(sin2x)= 2\(2sinxcosx). I had no idea how to get further with the problem so I looked at the answer in the back of my pre-calculus book. It said...
Homework Statement
I'm supposed to derive the following:
\left({\bf A} \cdot {\bf \sigma} \right) \left({\bf B }\cdot {\bf \sigma} \right) = {\bf A} \cdot {\bf B} I + i \left( {\bf A } \times {\bf B} \right) \cdot {\bf \sigma}
using just the two following facts:
Any 2x2 matrix can...
Hi, I was looking at an EM problem today and realized I wasn't sure why
(kxH)\dotk = 0
I tried writing it out explicitly and got (w 1,2,3 representing directions)
A1(A2*B3-A3*B2) - A2(A1*B3-A3*B1) + A3(A1*B2-A2*B1)
and I can't see why this should equal zero. This is troubling...
Hi,
I'm reading a book at the moment in which the author states the identity:
\frac{1}{x-i\epsilon}=\frac{x}{x^2+\epsilon^2}+\frac{i\epsilon}{x^2+\epsilon^2}
Which is fine, but then he goes on to state that this is equal to:
P\frac{1}{x}+i\pi\delta(x)
Where P is the principal...
Homework Statement
Find two functions f, g \in C[0,1] (i.e. continuous functions on [0,1]) which do not satisfy
2 ||f||^2_{sup} + 2 ||g||^2_{sup} = ||f+g||^2_{sup} + ||f-g||^2_{sup}
(where || \cdot ||_{sup} is the supremum or infinity norm)
Homework Equations
Parallelogram identity...
Homework Statement
Show that for all integers n,m where 0 ≤ m ≤ n
The sum from k=m to n of {(nCk)*(kCm)} = (nCm)*2^(n-m)
The Attempt at a Solution
So for the proof, I have to use a real example, such as choosing committees, binary sequences, giving fruit to kids, etc. I have been...
Hi I've got this problem which has really been bothering me.
How are you supposed to prove that:
(Sin[A] Sin[2 A] + Sin[3 A] Sin[6 A])/(Sin[A] Cos[2 A] + Sin[3 A] Cos[6 A]) is identicle to tan[5A].
I am almost sure that I've got to use the factor formulae, but I've had no luck. Maybe...
Homework Statement
For ease of writing, a covariant tensor \bf G.. will be written as \bf G and a,b,c,d are vectors.
Let \bf S and \bf G be two non-zero symmetric covariant tensors in a four-dimensional vector space. Furthermore, let S and G satisfy the identity:
[\bf G \otimes \bf...
Homework Statement
let I_n be as an identity matrix where a_ij = 1 when i=j
I just want to ask that is it true that all identity matrix has an inverse (determinant is not 0) for n>=2?
The Attempt at a Solution
Hi all,
I'm studying my mathematics lesson, and there is an example I can't understand:
Consider the matrix
A=(0 In)
(-In 0)
with In the identity nxn
We want to compute detA :
We introduce the permutation
p=(1 2 ... n n+1 ... 2n)...
When you study physics, you never really delve into the reasons behind some of mathematical identities, i was curious about this one as it occurs in Bloch's Theorem (correct me if I go wrong)...
Homework Statement
Show |sin z|^2 = \frac{1}{2}[cosh(2y)-cos(2x)]Homework Equations
cosh2y = cosh^2y+sinh^2y
cos2x = cos^2x-sin^2xThe Attempt at a Solution
Here is what I have so far
|sinz|^2=|sin(x+iy)|^2=|sin(x)cosh(y)+icos(x)sinh(y)|^2
=sin^2(x)cosh^2(y)+cos^2(x)sinh^2(y)...
I'm trying to do excercise 4.8 in "Riemannian manifolds" by John Lee. (It's about showing that the geodesics of \mathbb R^n are straight lines).
The result I'm getting is that the definition of a geodesic implies the well-known identity 0=0, which isn't very useful. I must have made a mistake...
Hi, I was asked to prove this identity, I found the determinants for both the left and the right side, and now I basically have to prove that (d/dy)(f(dg/dz))=(df/dy)(dg/dz), the d's are actual partials though. Can anyone give me an idea on how to prove this?
Thanks.
In Eq 11.72 in the QFT text by Peskin, the following equality is stated:
i\int\frac{d^{d}k_{E}}{(2\pi)^{d}}\log(k_{E}^{2}+m^{2})=-i\frac{\partial}{\partial\alpha}\int\frac{d^{d}k_{E}}{(2\pi)^{d}}\frac{1}{(k_{E}^{2}+m^{2})^{\alpha}}|_{\alpha=0}
This suggests that...
Hi,
I am new with linear algebra, and I'm having a hard time wrapping my mind around the 0 vector and the additive identity v + 0 = v, where 0 is the 0 vector.
If I had a 2x2 matrix, and v + w = C + (C^T)*D ... (where (C^T) is the transpose, v & w are vectors, and C & D are matrices)...
Could someone please explain to me in simple words (i.e., without referring to forms on the frame bundle, etc) why the Bianchi identity is the relativistic generalisation of the momentum-conservation law?
Here comes my hypothesis, but I am not 100% convinced that it is correct. In Newtonian...
Homework Statement
Let z=x+iy prove that Exp[z1]*Exp[z2]=Exp[z1+z2]
Homework Equations
Binomial thm (x+y)^n=Sum[Bin[n,k]*x^n-k*y^k,{k,1,n}]
The Attempt at a Solution
I have no idea about this question...
Please give me some help.
Matrix A= 2x2, R1= -1, -1, R2= -7, 3
Matrix b= 2x2, R1= 1,0, R2= 0, 1
A*?=b
____________
To solve, I put ? on the one side of the equation as ?=A^(-1)b. My answer is then just the inverse of A, because what is multiplied by the identity matrix is itself. It is shown to be incorrect...
Hi friends,
I am not able to understand how the below shown identity becomes (-1) power v cosθ.
cos(vπ − θ ) = cos vπ cos θ + sin vπ sin θ = (−1)power v cos θ
==> (-1)vcos θ
Please help me understand this basic problem.
Thanks,
Nesta
I have a simple technical problem. I'm following a paper [Shore, G. Ann Phys. 137, 262-305 (1981)], and I am unable to show a very simple identity for the non-abelian fluctuation operator (eq 4.37):
D_\mu\left[-D^2\delta_{\mu\nu}+D_\mu D_\nu-2F_{\mu\nu}\right]\,\phi=-(D_\mu F_{\mu\nu})\,\phi ...
Hello,
in a paper I have the identity
\int_{-\infty}^{\infty} d x \sqrt{(x-i\epsilon)^2-1}= I_+ - I_- + i \int_{-1}^{1}(\ldots)
where I_+ = \int_1^{\infty}(\ldots), I_=\int_{-\infty}^{-1}(\ldots) and \epsilon is a small positive number that will be taken to zero at the end.
My...
Homework Statement
Prove that the additive identity in a vector space is unique
Homework Equations
Additive identity
There is an element 0 in V such that v + 0 = v for all v in V
The Attempt at a Solution
Assume that the additive identity is NOT unique, then there exists y...
interval from a to b \int f(x) dx = interval from b to a (-)\int f(x) dx
Is this correct? Swapping the interval endpoints changes the sign of the integral? It seems like they should be equal. Thanks for the help.
By the way, I saw this property here...
sin^2(x)-sin^2(2x)=cos^2(2x)-cos^2(x)
I need help with proving this trig identity. Every thing I've tried just makes the problem more confusing. How would you guys go about this?
URGENT:trigonometric identity question
Homework Statement
tan2x+cos2x+sin2x=sec2x
*the 2 stands for squared since I don't know how to make the squared symbol appear on a compter
Homework Equations
http://www.analyzemath.com/Trigonometry_2/Trigonometric_identities.html
stuff from...
I know I haven't entered the formulae with the proper syntax, but I'm extremely exhausted at the time of posting, so please just read it and give advice, forgiving me this once for not using proper form (it's basically in latex code format).
Homework Statement
Show...
Homework Statement
I'm a bit confused as to the following vector calculus identity:
[∇ (∇.A)]_i = (δ/δx_i )( δA_j/δx_j)
Shouldn’t it be = (δ/δx_i )( δA_i/δx_i) why is it ‘j’ if we are taking it over ‘i’ ?
Thanks.
Homework Statement
I'm supposed to verify this:
\frac{cos(2x)-cos(4x)}{sin(2x)+sin(4x)}=tanx
The attempt at a solution
I reworked it every way I could think of, but it just won't work. I got desperate so I plugged it into some site and it said it was not a real identity, so I now I'm...
There is the identity
\dfrac{1}{1-x+i0} = PV \dfrac{1}{x} - i \pi \delta(1-x)
PV corresponds to Cauchy principal value.
But how can I handle a term like
\dfrac{1}{(x-i0)(1-x+i0)}
and how can I use the identity above? I tried several things such as writing
\dfrac{1}{(x-i0)(1-x+i0)} =...
Homework Statement
This is a problem from a textbook, Riley Hobson and Bence 'Mathematical Methods for Physics and Engineering'. It asks to check the validity of a vector identity. If a, b and c are general vectors satisfying a x c = b x c, does this imply c . a - c . b = c|a-b|
2. The...
Homework Statement
sec^2(x) tan^2(x) + sec^2(x) = sec^4(x)
Homework Equations
sin^2 + cos^2 = 1
1+tan^2 = sec^2
1+cot^2 = csc^2
The Attempt at a Solution
First, I changed everything to sin and cos to try and make it clearer.
1/cos^2 * sin^2/cos^2 + 1/cos^2 = sec^4...
I would like to demonstrate an identity with the INDICIAL NOTATION. I have attached my attempt. Please let me know where I made mistakes. Any suggestion? I am trying to understand tensors all by myself because they are the keys in continuum mechanics
Thanks
Hello.
Homework Statement
I would like to solve the following:
\[\int\limits_{ - \infty }^{ + \infty } {{\rm{d}}x\,f\left( x \right)\frac{{\rm{d}}}{{{\rm{d}}x}}\delta \left[ {a\left( {x - x_0 } \right)} \right]} \]
The solution I found in a paper is:
\[\int\limits_{ -...
Homework Statement
Hi all , again i am stuck onto this question :( , tried over 3 sheets alone on it lol.btw. thanks for your replies ;) .
Prove the Identity (cosecA+cotA)^2 similar to 1+cosA/1-cosA
Homework Equations
hmm let's see.. sin2+cos2=1 ,
sec2= 1+tan2
cosec2= 1+cot2...
Homework Statement
Use a graphing calculator to test whether the following is an identity. If it is an identity, verify it. If it is not an identity, find a value of x for which both sides are defined but not equal.
\frac{cos(-x)}{sin(x)cot(-x)}=1
Homework Equations
None
The...
Homework Statement
verify the following identity:
Sec(x)Sin2(x)
______________________ = 1 - cos(x)
1 + sec(x)
Homework Equations
sec(x)=1/cos(x)
sin2(x)=1-cos2(x)
The Attempt at a Solution
I never know how to start off these problems. I have to take the...