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 A later unpublished study by Carnegie Mellon University noted that "Most often, the causes of identity theft is not known", but reported that someone else concluded that "the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 all, I found this rather interesting formula online and I was wondering what it means. Could someone explain it to me? All help is appreciated:
http://functions.wolfram.com/IntegerFunctions/Floor/16/03/0001/
Homework Statement
a^{log_{b}(c)}=c^{log_{b}(a)}
The Attempt at a Solution
Take log_{a} of both sides:
log_{a}(a^{log_{b}(c)})=log_{a}(c^{log_{b}(a)})
gives:
log_{b}c=log_{b}alog_{a}c
Looks like one more step for the RHS. I sort of see that the RHS should become log_{b}c and...
On page 273 of Dummit and Foote the last sentence reads: (see attachment - page 273)
"The notion of the greatest common divisor of two elements (if it exists) can be made precise in general rings." (my emphasis)
Then, the first sentence on page 274 reads as follows: (see attachment - page...
(Hungerford exercise 31, page 143)
Let R be a commutative ring without identity and let a \in R
Show that A = \{ ra + na \ | \ r \in R, n \in \mathbb{Z} \} is an ideal containing a and that every ideal containing a also contains A. (A is called the prinicipal ideal generated by a)
Homework Statement
(question attached)
Homework Equations
The Attempt at a Solution
Checking solution.. pretty sure I did this wrong.
(solution attached)
Homework Statement
Hello PF! This is not a homework problem but I am curious to know if the following combinatorial identity exist:
\sum^{r-1}_{k=0} (^{n-1}_{r-(k+1)}) \times (^{r}_{k}) = (^{n+r-1}_{r-1})
Much thanks :)
I just need to know how can Mathematica recognize e^{-i\theta} as the eulers identity. This is, e^{-i\theta} = cos \theta + sin \theta .
When i plot a function like e^{i\theta}, nothings appear in the graph.
Help is appreciated.
Homework Statement
prove,
∇x(ψv)=ψ(∇xv)-vx(∇ψ)
using levi civita symbol and tensor notations
Homework Equations
εijkεimn=δjnδkm-δknδjm
The Attempt at a Solution
i tried for nth component
εnjk (d/dxj)εklm ψl vm
εknjεklm (d/dxj) ψl vm
using εijkεimn=δjnδkm-δknδjm...
Dear all,
Any idea for the proof of the Lagrange's identity using tensor notations and Levi Civita symbol?
(a x b).(c x d)=(a.c)(b.d) - (a.d)(b.c)
x: cross product
a,b,c,d: vectors
Thanks
Homework Statement
Let R be a ring with identity, and a,b are elements in R. If ab is a unit, and neither a nor b is a zero divisor, prove a and b are units.
Homework Equations
If ab is a unit then (ab)c=1=c(ab) for some c in R.
The Attempt at a Solution
Assume both a and b are...
Homework Statement
Hi guys, How can sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏)? please guide me trigonometry identity to apply with this?
Homework Equations
The Attempt at a Solution
Show that cosh(x) = 1 => x = 0
I am only allowed to use the definition of cosh, the algebraic rules for the exponential function, that exp(x2)>exp(x1) for x2 > x1, and the fact that we have defined it with the requirement:
exp(x) ≥ 1 + x
The exp(x) term of course is not trouble.
What...
Here is the question:
Here is a link to the question:
http://answers.yahoo.com/question/index?qid=20130130130636AAOqgvz
I have posted a link there so the OP can find my response.
Gradient of a dot product identity proof?
Homework Statement
I have been given a E&M homework assignment to prove all the vector identities in the front cover of Griffith's E&M textbook. I have trouble proving:
(1) ∇(A\bulletB) = A×(∇×B)+B×(∇×A)+(A\bullet∇)B+(B\bullet∇)A
Homework...
Item on bill from lawyer:
Crossed street to talk to you; it wasn't you: .$30.00
Fred was riding with his lawyer friend Jack.
"Jack, you're a good guy, but you lawyers think of nothing but money."
"That's not true," said Jack. "I'm only seeking justice for my clients."
Just then a truck roared...
Hey guys~
I was looking for a way to derive a formula for fn (the nth term in the fibonacci sequence). While looking for this, I came across a potential solution using the residue theorem.
Using the generating function Ʃk≥0 fnzn, find the identity for fn.
The problem looks like the right...
Homework Statement
cos(x)^2/(1+3sin(x)-4sin(x)^2)=(1+sin(x))/(1+4sin(x))Homework Equations
We are taking a topic in math where you rearrange one side of the formula to match the otherThe Attempt at a Solution
I have factor 1+3sin(x)-4sin(x)^2 to get (-sin(x)+1)(4sin(x)+1)
Homework Statement
If sin^{-1}x+sin^{-1}y+sin^{-1}z = \pi then prove that x\sqrt{1-x^2}+y\sqrt{1-y^2}+z\sqrt{1-z^2}=2xyz
Homework Equations
The Attempt at a Solution
I assume the inverse functions to be θ, α, β respectively. Rearranging and taking tan of both sides
tan(\theta +...
Homework Statement
Prove that :
\frac{cos(x)-1}{(1-cos(x))^{3}} = -\frac{1}{4sin^{4}(0.5x)}Homework Equations
None that I can think of.
Maybe the double angle formula...
The Attempt at a Solution
I couldn't do much in this question :
-\frac{1}{(1-cos(x))^{2}}
Let $G$ be a finite group, $T$ an automorphism of $G$ with the property that $T(x)=x$ if and only if $x=e$. Suppose further that $T^2=I$, that is, $T(T(x))=x$ for all $x\in G$. Show that $G$ is abelian.
I approached this problem using the permutation representation afforded by $T$ on $G$. Its...
Homework Statement
Show
e^{\frac{x}{2}(t-\frac{1}{t})}=\sum^{\infty}_{n=-\infty}J_n(x)t^n
Homework Equations
J_k(x)=\sum^{\infty}_{n=0}\frac{(-1)^n}{(n+k)!n!}(\frac{x}{2})^{2n+k}
The Attempt at a Solution
Power series product
(\sum^{\infty}_{n=0}a_n)\cdot (\sum^{\infty}_{n=0}...
Well a common question arises out of my mind that Local IP addresses assigned by ISP are stored...that's ok...But happens when I connect myself to a Proxy server...My identity is protected..isn't it...So even if I do something wrong I won't be prosecuted as because the convict is the proxy...
Homework Statement
Simplify (2cos2x-cos4x)/(2cos2x+cos4x)
The Attempt at a Solution
I let θ = 2x
(2cosθ-cos2θ)/2cosθ+cos2θ)
Since cos2θ= 1-2cos^2
(2cosθ-(1-2cos^2)/2cosθ+1-2cos^2
But I get lost when applying it and can't get beyond this, Do i have to use the quadratic...
Homework Statement
Need some help finding all solutions for x...
csc^2((x)/(2)) = 2secx
The Attempt at a Solution
Not sure what kind of approach to take but:
1/ sin^2(x/2) = 2/ cos x
From here Not sure what to do i tried cross multiplying and got cos x = 2sin^2(x/2) but got...
I was wondering about this: The identity operator writes a vector in the basis that is used to express the identity operator:
1 = Ʃlei><eil
But if you are to apply it to a vector in a given basis A should the lei> then be expressed in terms of their own basis or in terms of A?
In the notes it says that
\text{v}\cdot \nabla \text{u} = |\text{v}|\frac{du}{dl}
\text{v} = (a(x,y), b(x,y))
l is the arclength in the v-direction.
Why is this?
The LHS is the projection of v onto the gradient of u, the other thing is the magnitude of v, multiplied by the du/dl.
Hi all,
I have a question that seems very simple but I just do not see it;)
Let α denote an r×1 vector with arbitrary entries; I'm trying to construct an 1×r vector m such that αm = I, where I is the r×r identity matrix...
The first question is: is this possible?
I tried the...
I am curious about under what conditions the powers of a square matrix can equal the identity matrix.
Suppose that A is a square matrix so that A^{2} = I
At first I conjectured that A is also an identity matrix, but I found a counterexample to this.
I noticed that the counterexample...
I am trying to integrate -tan(x)sec^2(x) and getting -tan^2(x) / 2. When I put it in wolfram alpha it gets the same answer when I press show solution, but without pressing it it shows -sec(x)/2.
So I am wondering, is it the case tan^2(x) = sec(x)?? I don't remember this as a correct trig...
Homework Statement
e_j=g_(jk)e^k
where e_j is a covariant vector base
e^k is a a contravariant vector base
g_(jk) is the covariant metric
Homework Equations
The Attempt at a Solution
How should one prove that the integers form a commutative ring? I am not sure exactly where to go with this and how much should be explicitly shown.
A ring is meant to be a system that shares properties of Z and Zn. A commutative ring is a ring, with the commutative multiplication property...
Let B_{k}(x)=\sum_{n\geq 0}\binom{n}{k}\frac{x^{n}}{n!}. Show that
B_{k}(x)B_{l}(x)=\frac{1}{2^{k+l}}\binom{k+l}{l}B_{k+l}(2x).
I'm having some trouble with this one. Does anyone have any hints? I've tried using Cauchy product and Chu-Vandermonde equality but I get...
Suppose T belongs to L(V,V) where L(A,W) denotes the set of linear mappings from Vector spaces A to W, is such that every subspace of V with dimension dim V - 1 is invariant under T. Prove that T is a scalar multiple of the identity operator.
My attempt : Let U be one of the sub spaces of V...
Prove that ∇.(u×v) = v.(∇×u) - u.(∇×v), where "." means dot product and u,v are vectors.
So by scalar product rule, A.(B×C) = C.(A×B)
So applying same logic to above identity, shouldn't the left hand side just be equal to v.(∇×u)?
Or just to -u.(∇×v), since A.(B×C) = -B.(A×C) ?
assuming that the system (s,*) has an identity element. if the equation
(a*b)*(c*d)=(a*c)*(b*d) holds for all a,b,c,d belongs to S ,
,prove that:* is associative and commutative .
I tried so much but with no good result !
any ideas ?
(sin^3(x)-cos^3(x))/(sinx-cosx) = 1+(sinx*cosx)
I'm following a path similar to the post on http://www.askmehelpdesk.com/mathematics/verify-identity-sin-3-x-cos-3-x-sin-x-cos-x-1-sin-x-cos-x-500483.html
However, I keep getting 1-(sinx*cosx) when solving for mine as I end up with...
Hi, I cannot find any other reference to this formula:
sin(x)/cos(x-1)
it seems to fit with Euler's identity as given by Wikipedia. Euler's identity is a special case of this identity equation.
I've actually posted this on the Wikipedia page to see if I can get confirmation of this or...
Homework Statement
Homework Equations
Any trig formulas
The Attempt at a Solution
The yellow paper is me switching everything to sin and cos to see if that helps but it doesn't. I'm completely stuck here.
I'm having trouble understanding a trig identity and only include it here (rather than in trig forum) as it touches on a -broader- derivative problem.
Here it is:
$$\frac{d}{dx} \ e^{sin^2(x)}=e^{sin^2(x)}\cdot 2sin(x)cos(x)$$
$$=e^{sin^2(x)}\cdot \ sin(2x)$$
I have attached a proof of the...
Homework Statement
Prove that:
∇×(a∙∇a) = a∙∇(∇×a) + (∇∙a)(∇×a) - (∇×a)∙∇a
Homework Equations
Related to the vorticity transport equation.
The Attempt at a Solution
Brand new to index/tensor notation, any suggestions on where to begin? For example, I am having trouble...
proving the "contracted epsilon" identity
in the wikipedia page for the Levi Civita symbol, they have a definition of the product of 2 permutation symbols as: ε_{ijk}ε_{lmn} = δ_{il}(δ_{jm}δ_{kn} - δ_{jn}δ_{km}) - δ_{im}(δ_{jl}δ_{kn} - δ_{jn}δ_{kl}) + δ_{in}(δ_{jl}δ_{km} - δ_{jm}δ_{kl}) and...
Hello!
I should prove:
\delta'(\lambda x) = \dfrac{1}{\lambda \vert \lambda \vert} \delta(x),
where lambda is just a constant.
If we make use of the scaling property and the definition of the distributional derivative, we find:
\left( \delta'(\lambda x), f \right) =...
Homework Statement
Prove the following vector identity:
Any vector a dotted with its time derivative is equal to the vector's scalar magnitude times the vector's derivative's scalar magnitude.
Homework Equations
(a)dot(d(a)/dt)=||a|| x ||da/dt||
The Attempt at a Solution
I...
Homework Statement
I need to prove the identity:
(a×b)\cdot(c×d)= (a\cdotc)(b\cdotd)-(a\cdotd)(b\cdotc)
using the properties of the vector and triple products:
Homework Equations
a×(b×c)=b(a\cdotc)-c(a\cdotb)
a\cdot(b×c)=c\cdot(a×b)=b\cdot(c×a)
The Attempt at a Solution
I...