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 A later unpublished study by Carnegie Mellon University noted that "Most often, the causes of identity theft is not known", but reported that someone else concluded that "the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 that \sum\limits_{k=0}^l{n \choose k}{m \choose l-k} = {n+m \choose k}Homework Equations
Binomial theorem
The Attempt at a Solution
[/B]
We know that (1+x)^n(1+x)^m = (1+x)^{n+m}
which, by the binomial theorem, is equivalent to:
{\sum\limits_{k=0}^n{n \choose...
Homework Statement
Define n=(x + iy)/(2)½L and ñ=(x - iy)/(2)½L.
Also, ∂n = L(∂x - i ∂y)/(2)½ and ∂ñ = L(∂x + i ∂y)/(2)½.
with ∂n=∂/∂n, ∂x=∂/∂x, ∂y=∂/∂y, and L being the magnetic length.
Show that a=(1/2)ñ+∂n and a†=(1/2)n -∂ñ
a and a† are the lowering and raising operators of quantum...
As required by the Green's identity, the integrated function has to be smooth and continuous in the integration region Ω.
How about if the function is just discontinuous at the boundary?
For example, I intend to make a volume integration of a product of electric fields, the field function is...
I'm not sure I have the right approach here:
Using the three 2 X 2 Pauli spin matrices, let $ \vec{\sigma} = \hat{x} \sigma_1 + \hat{y} \sigma_2 +\hat{z} \sigma_3 $ and $\vec{a}, \vec{b}$ are ordinary vectors,
Show that $ \left( \vec{\sigma} \cdot \vec{a} \right) \left( \vec{\sigma} \cdot...
Homework Statement
The antisymmetric tensor is constructed from a vector ##\vec a## according to ##A_{ij} = k\varepsilon_{ijk}a_k##.
For which values of ##k## is ##A_{ij}A_{ij} = |\vec a|^2##?
Homework Equations
Identity
##\varepsilon_{ijk}\varepsilon_{klm} =...
Prove identity
$$\tan[\tan^{-1} (x) +\tan^{-1} (y)] =(x+y)(x-y)$$
Since $$\tan\left({\tan^{-1} \left({a}\right)}\right)=a$$
And by sum formula of $\tan{(x+y)}$ then $$=\frac{x+y}{1-xy}$$
But then?
I want to compute the following when the 4-vectors are already given i.e x^{\mu},y^{\mu} are given and are orthonormal ( x, y are complex vectors);
\begin{eqnarray}
\left(/\negmedspace\negmedspace x/\negmedspace\negmedspace y\right)^{2} & = & /\negmedspace\negmedspace...
(\cot \theta)(\sin \theta)
So far I understand that you can make
(\cot a) \implies (\frac{\cos \theta}{\sin \theta})
Then it would come to
(\frac{\cos \theta}{\sin \theta})(\sin \theta)
I'm stuck at when making (\sin \theta) into a fraction.
The sine in between the asterisks is what I mean...
Can anyone identity the book please?
http://atao.ucsd.edu/258/bandbending.pdf
i had some notes from this book. I need more info. with great difficulty I have been able to find the link.
any leads will be very useful.
thanks
"Two scientists from Japan and Canada were awarded the Nobel Prize in physics for showing that particles known as neutrinos can change identities and also possesses mass, insights that both deepened and challenged our understanding about how the universe works".
Friends! Please explain in...
Hi,
I am confused about how I arrive at the contracted epsilon identity. \epsilon_{ijk} \epsilon_{imn} = \delta_{jm} \delta_{kn} - \delta_{jn} \delta_{km}
1. Homework Statement
Show that \epsilon_{ijk} \epsilon_{imn} = \delta_{jm} \delta_{kn} - \delta_{jn} \delta_{km}
Homework EquationsThe...
Homework Statement
Hello everyone, can anyone help me prove this using tensors?
Given three arbitrary vectors not on the same line, A, B, C, any other vector D can be expressed in terms of these as:
where [A, B, C] is the scalar triple product A · (B × C)
Homework Equations
I know that...
The problem
Show that the left side is equal to right side
## tan (\frac{x}{2}) = \frac{1-cos(x)}{sin(x)} ##
The attempt
##\tan(\frac{x}{2}) = \frac{ sin(\frac{x}{2}) }{ cos (\frac{x}{2}) } = \frac{ sin^2(\frac{x}{2}) }{ cos ^2 (\frac{x}{2}) } = \frac{\frac{1-cos(x)}{2}}{\frac{1+cos(x)}{2}} =...
Homework Statement
In my statistics notes/lectures my professor will oftentimes use an identity that looks like the following:
x_i is a non random variable, the summand is from i=1 to n;
This segment comes from notes on linear regression (y_0 = b_0 + b_1*x_i)
I actually forgot to mention that...
Homework Statement
Prove the following trigonometric identity. The question is sin^4Ө =3/8-3/8cos(2Ө)
Homework Equations
I think I'm supposed to use the power reducing formulas for trigonometric identities which are
sin^2(u)= (1- cos(2u))/2
cos^2(u)=(1+cos(2u))/2
*Let u represent any...
Hi - just started complex analysis for the 1st time. I have been a little confused as to the chicken and egg-ness of Cauchy-Riemann conditions...
1) Wiki says:
"Then f = u + iv is complex-differentiable at that point if and only if the partial derivatives of u and v satisfy the Cauchy–Riemann...
Show $ |sinh(z)|^2 = sin^2x + sinh^2y $
Since I posted this, I found new info - cos(iy) = cosh(y) and sin(iy) = i sinh(y) which made the above easy; don't want to bother anyone so will mark this solved.
I am reading Paolo Aluffi's book, Algebra: Chapter 0.
I am currently focused on Chapter III, Section 2: The Category Ring.
I need some help in getting started on Problem 2.15 in this section.
Problem 2.15 at the end of Chapter III, Section 2 reads as follows:
I would welcome some help in...
Homework Statement
Let ##P## be a permutation matrix. Show that for some ##N>0## P^N := \underbrace{PP...P}_{N \ \text{times}} = I
2. Relevant definitions
A permutation matrix is a ##n\times n## matrix containing only zeros and ones such that there is exactly one ##1## per row and per column...
So, essentially, all I wonder is: What is the The Matrix Exponent of the Identity Matrix, I?
Silly question perhaps, but here follows my problem. Per definition, the Matrix Exponent of the matrix A is,
e^{A} = I + A + \frac{A^2}{2} + \ldots = I + \sum_{k=1}^{\infty} \frac{A^k}{k!} =...
Homework Statement
Need to prove that:
,b means partial differentation with respect to b, G is the metric tensor and Γ is Christoffel symbol.
I think I could proceed with this quite well if I could understand the hint given, that I should lower the index j.
Homework Equations
am=Gmjaj...
I am doig trigonometric identities and i got this one, (all will be in the picture the solution and my work) i used the double angle for this but i am afraid i didn't get the exact idea, just guessing, good guessing, so i want to know how is the proper way to reach the solution
Homework Statement
I have had a brain malfunction and I need help to understand something simple. It would be great if someone could show the process of attaining the end form.
How does; ##a\cos{(x)}+b\sin{(x)} = c\sin{(x+\phi)}## where a,b are arbitrary constants, c results from whatever...
Homework Statement
I have to prove the Fierz rearrengement identity for Weyl Fermions. Eq 2.20 in Martin's supersymmetry primer:
\chi_\alpha(\xi\eta)=-\xi_\alpha(\eta\chi)-\eta_\alpha(\chi\xi)
Homework Equations
We have that the antisimetric tensor raises and lowers indices.
The Attempt at...
Premise 1: Physics don't believe in sense "organs" of the human "robot" (more commonly said "common sense deceives us").
Premise 2: Physics believes in logic or mathematics.
Background thrust: Quantum mechanics.
Premise 3: Everything which "revolves" around the nucleus might not have...
EDIT: I figured out my mistake...no option to delete silly post. Oh well.
1. Homework Statement
The problem is: use iterated integrals in polar form to find the area of one leaf of the rose-shaped curve r = cos(3*theta).
My setup agrees exactly with the solutions manual...but then something...
Homework Statement
Prove that ##(x^2+y^2+z^2)\nabla^2[\delta(x)\delta(y)\delta(z)]=6\delta(x)\delta(y)\delta(z)##
Homework Equations
##\delta''(x)/2=\delta(x)/x^2##
The Attempt at a Solution
I have obtained this:
##6\delta(x)\delta(y)\delta(z) +...
Hi all,
I make some exercises in particle physics but I'm stuck in two problems related to Gamma matrices identities,
First: the Fermion propagator ## \frac {i } { /\!\!\!p - m} = i \frac { /\!\!\!p + m } { p^2 - m^2} ## So how ##/ \!\!\!\!p ^2 = p^2 ## ? Where ## /\!\!\!p = \gamma_\mu p^\mu...
I'm looking at the informal arguements in deriving the EFE equation.
The step that by the bianchi identity the divergence of the einstein tensor is automatically zero.
So the bianchi identity is ##\bigtriangledown^{u}R_{pu}-\frac{1}{2}\bigtriangledown_{p}R=0##...
In peskin p. 160 forth paragraph they say to verefy Ward identity in equation 5.74.
I don't succeed, they say some algebra is needed. I conjecture that this some algebra is what i miss.
Any help will be appreciated - thanks a lot.
I am in an independent study working through probabilistic graph theory and I am stuck on part of a theorem from chapter 4 of The Probabilistic Method by Joel Spencer and Noga Alon (specifically theorem 4.2.1).
In this context, $p$ is a prime number.
The part where I am confused comes from a...
Homework Statement
Need to prove that:
(v⋅∇)v=(1/2)∇(v⋅v)+(∇×v)×v
Homework Equations
Vector triple product
(a×b)×c=-(c⋅b)a+(c⋅a)b
The Attempt at a Solution
I know I could prove that simply by applying definitions directly to both sides. I haven't done that because that is tedious, and I...
Hi, the question (from math methods for physicists) is: If A is orthogonal and det(A)=+1, show that (det A)aij = Cij(A).
I know that if det(A)=+1, then we are looking at a rotation.
(Side question - I have seen that det(A) =-1 can be a reflection, but is 'mostly not reflections'; what does...
Homework Statement
What is the likely identity of a weak acid if a 0.50 mol/L solution of the acid has a pH of 3.18?
Homework Equations
HA + H2O <=> H3O + A
K_{a} = \frac{[P]}{[R]}
[H3O] = 10^{-pH}
The Attempt at a Solution
[/B]
I set up an ICE table with the concentration given...
Homework Statement
I am trying to prove an identity for the Lie derivative of a smooth one-form. The identity is: for X, Y smooth vector fields, alpha a smooth one-form, we have:
$$L_{[X, Y]}\alpha = [L_X, L_Y]\alpha$$ For anyone familiar with the book, this is exercise 5.26 in the first...
Please be patient as I struggle with latex here ...
Part 1 of the problem says to start with:
$ \frac{\partial\bar{r}}{\partial{q}_{1}} ={h}_{1} \hat{q}_{1} $ and then to find an expression for $ {h}_{1} $ that agrees with $ {g}_{ij}=\sum_{l}...
Learned this identity a year ago randomly studying for adv biomechanics and was wondering if there were real-world applications for this outside of mathematicians appreciating the formula.
Homework Statement
Let us consider three scalar fields u(x), v(x), and w(x). Show that they have a relationship such that f(u, v, w) = 0 if and only if
(∇u) × (∇v) · (∇w) = 0.
Homework EquationsThe Attempt at a Solution
I could think nothing but...
Homework Statement
Given that [A_i,J_j]=i\hbar\epsilon_{ijk}Ak where A_i is not invariant under rotation
Show that [J^2,Ai]=-2i\hbar\epsilon_{ijk}J_jAk-2\hbar^2A_i
Homework Equations
[AB,C]=A[B,C]+[A,C]B
[A,B]=-[B,A]The Attempt at a Solution
[J^2,Ai]=[J_x^2,Ai]+[J_y^2,Ai]+[J_z^2,Ai]...
1. Homework Statement
Given ##\nabla## a torsionless connection, the Ricci identity for co-vectors is $$\nabla_a \nabla_b \lambda_c - \nabla_b \nabla_a \lambda_c = -R^d_{\,\,cab}\lambda_d.$$
Prove ##R^a_{[bcd]} = 0## by considering the co-vector field ##\lambda_c = \nabla_c f##
Homework...
What is bianchi identity? Can anyone explain it to me as simple as possible? Is it something that allows us to convert riemannian tensor to ricci curvature tensor?