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 A later unpublished study by Carnegie Mellon University noted that "Most often, the causes of identity theft is not known", but reported that someone else concluded that "the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.
Hi everybody! First post!(atleast in years and years).
The stationary KdV equation given by
$$ 6u(x)u_{x} - u_{xxx} = 0 $$.
It has a solution given by
$$ \bar{u}(x)=-2\sech^{2}(x) + \frac{2}{3} $$
This solution obeys the indentity
$$ \int_{0}^{z}\left(\bar{u}(y) -...
I have no idea how to go about proving this trig identiy. I mean, I've been taught that it's a safe bet to convert everything to sines and cosines, but other than that, I've no clue.
Am I even on the right path?
Homework Statement
Show that:
curl(r \times curlF)+(r.\nabla)curlF+2curlF=0, where r is a vector and F is a vector field.
(Or letting G=curlF=\nabla \times F
i.e. \nabla \times (r \times G) + (r.\nabla)G+2G=0)
The Attempt at a Solution
I used an identity to change it to reduce (?) it to...
So, this question says "prove each identity. State any restrictions on the variables".
5a) \frac{sinx}{tanx} = cosx
I did the first part of the question correctly (proving it), but I don't understand how you determine the restrictions on the variables. In the textbook, it says that it cannot...
In a Hilbert-space whose dimensionality is either finite or countably infinite, we have the discrete resolution of identity
\sum_n |n\rangle \langle n| = 1
In many cases, for example to obtain the wavefunctions of the discrete states, one employs the continuous form of the resolution...
Homework Statement
From Mary Boas' "Mathematical Methods in the Physical Sciences" 3rd ed. Ch 3 Sec 4 problem 24
Where A and B are vectors. What is the value of (AXB)^2+(A dot B)^2=? Comment: This is a special case of Lagrange's Identity.
Homework Equations
Cross product and dot...
Hi everyone. I'm studying Heavy Quark Effective Theory and I have some problems in proving an equality. I'm am basically following Wise's book "Heavy Quark Physics" where, in section 4.1, he claims the following identity:
$$
\bar Q_v\sigma^{\mu\nu}v_\mu Q_v=0
$$
Does any of you have an...
I'm slightly confused at the proof of this theorem, hopefully someone can help.
Identity theorem: Suppose X and Y are Riemann surfaces, and f_1,f_2:X \to Y are holomorphic mappings which coincide on a set A \subseteq X having a limit point a \in X. Then f_1 and f_2 are identically equal.
The...
THREAD CHANGE *SPINOR IDENTITY*...although it's connected with SuSy in general, it's more basic...
I am trying to prove for two spinors the identity:
θ^{α}θ^{β}=\frac{1}{2}ε^{αβ}(θθ)
I thought that a nice way would be to use the antisymmetry in the exchange of α and β, and propose that...
Homework Statement
Maybe this is not possible because i does not represent anything quantile and is merely abstract? I'm not sure and maybe you guys can help!
Homework Equations
e^{i \pi} + 1 = 0
The Attempt at a Solution
e^{i \pi} + 1 = 0
e^{i \pi} = -1
You cannot...
Homework Statement
For each of the following statements, select whether the statement is true or false for all n × n matrices A, B , C. (Note that you are being asked whether the statement is true or false for all n × n matrices A, B, C, not just for some A, B, C.)
a) (-6 A - 4 B)2 =...
Hi everyone, I have a doubt on Fierz identities. If we define the following quantities: S=1,\; V=\gamma_\mu,\; T=\sigma_{\mu\nu},\; A=\gamma_\mu\gamma_5,\;P=\gamma_5, then we have the identity:
$$
(\Gamma_i)_{\alpha\beta}(\Gamma_i)_{\gamma\xi}=\sum_j...
Homework Statement
x,y,z are three terms in GP and a,b,c are three terms in AP
prove that (xb÷xc)(yc÷ya)(za÷zb)=1Homework Equations
The Attempt at a Solution
(xb-c)(yc-a)(za-b)
since x y z are in GP
xb-c÷yc-a=yc-a÷za-b
(xb- c)(za-b)=yc-a(yc-a)
1. The pratement, all variables and given/known data
If a =1÷(1-b) ,b=1÷(1-c),c=1÷(1-d) prove that a=d
Homework Equations
The Attempt at a Solution
a=1÷(1-b)
a-1÷(1-b)=0
{a(1-b)-1)}÷1-b=0
a-ab-1=0
a-ab=1
similarly
b-bc=1
c-cd=1
could any of you please give a hint, this was...
Okay so I'm working on this problem
\int \frac{x^2}{\sqrt{4 - x^2}} \, dx
I do a substitution and set
x={\sqrt{4}}sinu
I get to this step fine
\int 4sin(u)^2
I know that u = arcsin(x/2)
so I don't see why I can't just substitute in u into sin(u)?
I tried this and I got
\int 4 *...
Is it true that:
exp(2x)sinh(y)2 + exp(-2x) = exp(2x)cosh(y)2-2sinh(2x)
I need this to be correct for an exercise but I don't know how to show it. I tried using something like cosh2+sinh2=1, but it didn't work.
The Reimann curvature tensor has the following symmetry resulting from a Bianchi identityR_{abcd}+R_{acdb}+R_{adbc}=0
The derivative of the electromagnetic field tensor also yields some of Maxwell's equations from a Bianchi identity\partial_\gamma F_{ \alpha \beta } + \partial_\alpha F_{ \beta...
Okay the question is, given a plane electromagnetic wave in a vacuum given by E=(Ex,Ey,Ez)exp^{(i(k_{x}x+k_{y}y+k_{z}z-wt)} and B=(Bx,By,Bz)exp^{(i(k_{x}x+k_{y}y+k_{z}z-wt)} ,
where k = (kx,ky,kz),
to show that kXE=wB.
So I'm mainly fine with the method. I can see the maxwell's equaion...
Can it be proved?
\left(\frac{-2\sin A}{1-\cos A}\right)\cos\left(\frac{A}{2}\right)\tan^{-1}\left[\cos \left(\frac{A}{2}\right)\right]=\frac{\pi^2-4A^2}{8}
Homework Statement
A. If the equation Ax=0 has only the trivial solution, then A is row equivalent to the nxn identity matrix.
B. If the columns of A span R^n, the columns are linearly independent.
C. If A is an nxn matrix, then the equation Ax=b has at least one solution for each b in R^n...
Homework Statement
Question #2.
Homework Equations
The Attempt at a Solution
I've drawn a venn diagram for the left-hand side and the right-hand side and I can see that they're not equal but how do I provide a counter-example for this? Wouldn't a counter-example require an infinite number...
Homework Statement
Homework Equations
I have to use these set identities:
The Attempt at a Solution
Pretty sure this is impossible because there's no identity for the Cartesian product.
Homework Statement
Homework Equations
The Attempt at a Solution
$$(A-B)\cup (C-B)=(A\cup C)-B\\ (A\cap B^{ C })\cup (C\cap B^{ C })=(A\cup C)\cap B^{ C }\\ (A\cup C)\cap B^{ C }=(A\cup C)\cap B^{ C }\\$$
I know for algebraic proofs, proofs like these are accepted if they are reversed. But...
Hopefully this will make sense...
We have the trig. identities shown below:
sin(u)cos(v) = 0.5[sin(u+v) + sin(u-v)]
cos(u)sin(v) = 0.5[sin(u+v) - sin(u-v)]
How are these different? I realize u and v switched between the sine and cosine functions, but what is the difference between u and...
Homework Statement
Show that a relation of the kind ƒ(x,y,z) = 0
then implies the relation
(∂x/∂y)_z (∂y/∂z)_x (∂z/∂x)_y = -1
Homework Equations
f(x,y)
df = (∂f/∂x)_y dx + (∂f/∂y)_x dy
The Attempt at a Solution
I expressed x = x(y,z) and y = y(x,z) then found dx and...
Use de Moivre's identity to find real values of a and b in the equation below such that the equation is valid.
cos^6(x)+sin^6(x)+a(cos^4(x)+sin^4(x))+b=0
Hint: Write cos(x) & sin(x) in terms of e^{ix} & e^{-ix}.
Check your values of a and b are valid by substituting in a value of x. State...
I've been looking for this identity: arctan(1/x) = arcot(x) or arccot(1/x) = arctan(x)
After just visually inspecting this to be true, I have been unable to find any formal proofs for it.
Any references would be great!
Hi Guys,
I assume you are familiar with the equations so i do not post them (please write if u want me to post them).
One of the steps to prove Kirchhoff's diffraction equation is to use Green's second identity.
This identity shows the relation between the solutions in the volume and...
Hi there,
This is my very first post, so I'd like to say thanks for reading and hi basically. :biggrin:
I'm relatively confident my attempt at the proof is correct, but since the method is quite different from other examples I have seen, it kind of makes me nervous. I was hoping someone...
Homework Statement
This is question 1.1 from section 2-1 of New Foundations of Classical Mechanics:
Establish the following "vector identities":
(a\wedge b) \cdot (c \wedge d) = b\cdot ca \cdot d - b\cdot da \cdot c = b\cdot(c\wedge d)\cdot a
Homework Equations
The Attempt at...
Homework Statement
Prove that there is a constant C such that
arctan\sqrt{\frac{1-x}{1+x}} = C - \frac{1}{2}arcsinx for all x in a certain domain. What is the largest domain on which this identity is true? What is the value of the constant C?
The Attempt at a Solution
Now I know how...
Your help will be greatly appreciated!
Thanks!1. The expression \(\sin\pi\) is equal to \(0\), while the expression $\frac{1}{\csc\pi}$ is undefined. Why is $\sin\theta=\frac{1}{\csc\theta}$ still an identity?
2. Prove $\cos(\theta + \frac{\pi}{2})= -\sin\theta$
As a physics student, I understand that α particles are emitted and are the same as helium atoms without electrons.
But this raises two questions to me:
1) What happens with the electrons at the atom that emits them? He now has two electrons too much. What happens with those?
2) Why an...
Suppose we have a torsion free connection. Does anyone here know of a slick way to prove that covariant derivatives satisfy the Jacobi identity? I.e. that
$$([\nabla_X,[\nabla_Y,\nabla_Z]] + [\nabla_Z,[\nabla_X,\nabla_Y]] +[\nabla_Y,[\nabla_Z,\nabla_X]])V = 0$$
without going into...
My textbook (regarding continuum mechanics) has the following identity that is supposed to be true for all tensors:
a\cdotTb = b\cdotTTa
But I don't get the same result for both sides when I work it out.
For each side, I'm doing the dot product last. For example, I compute Tb first and...
Rudin Theorem 1.21. How does he get "The identity"?
In Theorem 1.21, Rudin says:
The identity b^n-a^n=(b-a)(b^{n-1}+b^{n-2}a+...+a^{n-1}) yields etc etc.
What is this "identity", and do we need to prove it first? If not, what assumption is Rudin making?
Homework Statement
We are given two sets of functions: sin(x) and cos(x); S(x) and C(x). In the former, x is measured in radians, in the latter x is measured in degrees.
It is possible to convert between the two using the following relations:
sin(x) = S(mx), cos(x) = C(mx) where m=180/pi...
Homework Statement
I was doing this practice exam and I had to calculate the eigenvalues en vectors. The matrix had two eigenvalues, I calculated one eigenvector. But when I was performing row operations for the second eigenvector, the matrix with the second eigenvalue substitued became an...
Hi all, I've been playing around with spin 1/2 Lagrangians, and found the very interesting
Fierz identities. In particular for the S x S product,
(\bar{\chi}\psi)(\bar{\psi}\chi)=\frac{1}{4}(\bar{\chi} \chi)(\bar{\psi} \psi)+\frac{1}{4}(\bar{\chi}\gamma^{\mu}\chi)(\bar{\psi}\gamma_{\mu}...
What is the physical meaning of Jacobi identity for Poisson brackets? When does it come in handy?
It goes as follows: {f,{g,h}}+{g,{h,f}}+{h,{f,g}}=0
Thanks.