Positive liberty is the possession of the capacity to act upon one's free will, as opposed to negative liberty, which is freedom from external restraint on one's actions. A concept of positive liberty may also include freedom from internal constraints.The concepts of structure and agency are central to the concept of positive liberty because in order to be free, a person should be free from inhibitions of the social structure in carrying out their free will. Structurally, classism, sexism, ageism, ableism and racism can inhibit a person's freedom. As positive liberty is primarily concerned with the possession of sociological agency, it is enhanced by the ability of citizens to participate in government and have their voices, interests, and concerns recognized and acted upon.
Isaiah Berlin's essay "Two Concepts of Liberty" (1958) is typically acknowledged as the first to explicitly draw the distinction between positive and negative liberty.
Homework Statement
If b is added to c = 3.9i + 3.7j, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of c. What is the magnitude of b?
2. The attempt at a solution
I've probably just been staring at these problems for too long...
First of...
greetings,
consider a wire which is subjected to AC supply.now consider a point X anywhere on wire.
now what will be the potential of that point during the positive and negative halfcycle of sinusoidal AC?what will be the direction of current?
thanks
Homework Statement
Let f be continuous at c and f(c)>0. Prove that there is an open interval (a,b) centered at c such that f(x)>0 for all x that are elements of (a,b)
Homework Equations
we are supposed to use the sign preserving property??
The Attempt at a Solution
I tried...
Can an interval with all positive functions of x be proven??
f(x) has to always be greater that 0. How do you prove this??
f is continuous as c and f(c)>0. prove that there is an open interval (a.b) centered at c such that f(x)>0 for all x that are elements of (a,b)
Homework Statement
http://img33.imageshack.us/img33/8751/49753333t.jpg
Problem #2
[PLAIN][PLAIN]http://img121.imageshack.us/img121/5574/35712633.jpg
My question is, why do they take positive x0? Shouldn't it be negative since it is that amount of x displacement away from the spring?
Homework Statement
This is the conservation of energy in the absence of external forces
ΔKE + ΔPE + ΔTE + ΔU= 0
TE is friction, U is other internal energy, like the spring
So expand and disregard U and TE for a moment
½m(v² - v₀²) + mg(h - h₀) = 0
Now comes the...
Homework Statement
Show that R^x/<-1> is isomorphic to the group of positive real numbers under multiplication.
Homework Equations
The Attempt at a Solution
I know I need to show we have a homomorphism, and is one - to one and onto in order to be isomorphic. I know all...
Homework Statement
Let {an}n≥1 and {bn}n≥1 be strictly positive series.
If the limit n-> infinity (an/bn) = c /= 0, then the \sum an converges iff \sum bn converges, n≥1
Homework Equations
The Attempt at a Solution
Since we know that lim (an/bn) = c, then
for all ε>0...
Homework Statement
Go to http://apcentral.collegeboard.com/apc/public/repository/ap08_physics_c_mech_frq.pdf
Question two
The solution is http://www.collegeboard.com/prod_downloads/ap/students/physics/ap08_physics_c_mech_sgs_rev.pdfThe Attempt at a Solution
My question is part d) in the...
Homework Statement
\int ^b_0 cos(\frac{(n-m)\pi}{b}x) dx
\int ^b_0 cos(\frac{(n+m)\pi}{b}x) dx
n and m are positive integers.
The Attempt at a Solution
\int ^b_0 cos(\frac{(n-m)\pi}{b}x) dx = \frac{b\;sin[(n-m)\pi]}{(n-m)\pi}
Obviously answer is zero if n not equal to...
Homework Statement
Find an example with 2 * 2 matrices for which: 0 (= or < ) a (= or < ) b does not imply a 2 (= or <) b2.
the trace and the determinant of both a and b matrices should be positive !
Homework Equations
The Attempt at a Solution
i just need to know 2 things :
1- is there...
Homework Statement
This is a proof problem in the mathematical induction section of my textbook. I am having trouble with question (c).
Result: 12 + 22 + 32 + ... + n2 = n(n+1)(2n+1)/6 for every positive integer n.
(a) Use the result to determine the formula for 22 + 42 + 62 + ... + (2n)2 for...
I can't understand this and i would be appreciate if somebody help me.
If in the metal we have a very big number of free electrons they should go to the positive therminal of the batery even if the other end of the wire is not conected to the negative therminal.What stops them.The copper wire...
Let A be a real nxn matrix.
What are the requirements of A for A+AT to be positive definite?
Is there a condition on eigenvalues of A, so that A+AT is positive definite?
Also I am not sure about the definition of a positive definite matrix. In some places it is written that the matrix must be...
Homework Statement
Find 3 positive numbers x, y and z for which: their sum is 24 and which maximizes the product: P = x2y3z. Find the maximum product.
The Attempt at a Solution
Ok, I know how to set up the equations.
x + y + z = 24
Delta(F) <2xy3z, 2x2y2z, x2y3>
fx = 2xy3z...
Homework Statement
Let k be any positive integer. Prove that there exists a positive
integer multiple n of k such that the only digits in n are 0s and
1s. (Use the pigeonhole principle.)
Homework Equations
The General Pigeonhole Principle
If more than mk things are distributed into k...
Homework Statement
How many coulombs of positive charge are in 1.91 mol of O2 gas?
Homework Equations
1 mol = 6.022x10^23 protons
q=Ne
The Attempt at a Solution
so 1.91 mols x 6.022x10^23 = 1.1502x10^24 protons
I divided that by 6.25x10^18 protons in one coulomb, but I got...
Homework Statement
The Problem is from Mendelson Topology. Let V be a vector field with the real numbers as scalars. He defines a bilinear form as a function A:V x V -> R s.t for all x,y,z an element of V and real numbers a,b,c A(ax +by, z) = aA(x,z) + bA(y,z) and A(x,by + cz) = bA(x,y) +...
most of the cosmic rays that hit the Earth is made up of positively charged particles, like protons. This suggests that the Earth has a growing excess of positive charge ...
Is this true?
Homework Statement
Is it possible to construct a field, that satisfies all basic propeties (http://en.wikipedia.org/wiki/Field_%28mathematics%29#Definition_and_illustration , the six bolded part ), with only and all positive integers?
Remeber, you don't have 0/negative numbers/fraction in...
Here is my problem. Any ideas are appreciated.
Let P be a projection matrix (symmetric, idempotent, positive semidefinite with 0 or 1 eigenvalues). For example, P = X*inv(X'*X)*X' where X is a regressor matrix in a least square problem.
Let A be a symmetric real matrix with only integer...
Homework Statement
A car is rolling to the right and you try to slow it down by pushing on it to the left. You are doing
A) positive work
B) negative work
C) no work until the car comes to a stop
D) You can’t tell because I didn’t tell you which way was positive.
Homework Equations...
Homework Statement
http://www.screencast.com/users/trinhn812/folders/Jing/media/8fe997e1-46e5-4033-a246-fbad0acb7162
Homework Equations
The Attempt at a Solution
I understand that in question 25, the conductor becomes polarized and its negative charges will be more attracted...
I know that we can square an inequality if both sides are positive.
But can we cube an inequality provided both the sides are positive?
If no then why?
QUESTION 1
Homework Statement
Two positive charges, each with Q = +10 µC, are fixed to the x-axis at x = +a and x = -a, where a = 4 m.
(a) Find the electric potential at point A on the y-axis where (xA, yA) = (0, b) and b = 5 m. Take the zero of potential to be at infinity.
(b) A...
If we require that the north is positive number,For example +10Km,South for the negative number,For example -10Km,So, what is the number of 10 km east then?
I think there are other neither positive nor negative,Not only 0 is neither positive nor negative .
Therefore, a number of absolute...
Homework Statement
Find the least positive rest in division of 7^35 with 5
Homework Equations
(7^35)/5
The Attempt at a Solution
7^35=378818692265664781682717625943 => 378818692265664781682717625943/5... Uhhhhh this is not the way I am supposed to take right? :cry:
Reading some QFT in which we are faced with inhomogeneous equation
(\partial^\mu \partial_\mu + m^2)\phi(x)=J(x)
The solution is given as
\phi(x)=\phi^{(+)}_{in}(x)+\phi^{(-)}_{out}(x)+i\int{d^4 x\Delta(x-x')J(x')
where \Delta is the appropriate Green's function. "in" means the...
I accept that the entropy (Shannon's) of a sum of positive
numbers is the sum of the -P_n * LOG(P_n) for each number
in the sum of numbers where P_n is the average contribution
of a term. IE, if T = A + B,
then S = -(A/T)*LOG(A/T) - (B/T)*LOG(B/T).
But what about the entropy of A*B...
I explained to my class that in projectile motion one always chooses the positive time answer with the negative time answer being dropped. Then a student asked if two positive time answers were possible. I just looked at it assuming that t+/- are both positive and got the result that for t+ to...
Homework Statement
Show that if a set E has positive outer measure, then there is a
bounded subset of E that also has positive outer measure
Homework Equations
We can take an intersection of E with some of its covering sets. This will
give us a subset of E, but how can we be sure...
Show that every positive integer is a sum of one or more numbers of the form 2^r3^s, where r and s are nonnegative integers and no summand divides another.
not my doubt
just found it interesting so posted here :smile:
Isn't it true that if a function f(t) satisfies f'(t) > 0 on some interval, then f is STRICTLY increasing on that interval; i.e., that s < t implies that f(s) < f(t)?
Hi
If you are kind enough to answer this please bear in mind that I know next to no physics and I'm quite intimidated by the subject so please don't give me an intractable answer that I won't understand. Please feel free to answer as if you are talking to a nice but dim high school student...
Hi
(I'm not sure where this question belongs)
I had a general question about hamiltonians, do they need to be positive definite?
is this required in QM, or is this a relativistic requirement?
cheers
M
does the following inequality holds for every POSITIVE 'x' ?
e^{-x}-1\le Cx^{1/4+e} here 'C' and e are positive constants
i think that for very very small 'e' the constant must be very BIG but no other hint i find
Consider a positive charge +q placed at the origin. Let A and b be two points in the space with position vectors rA and rB respectively. What will be the work done by an external force equal and opposite to the Coulumbic force, in moving a unit positive charge from A to B, irrespctive of the...
A problem asks to find all possible pairs (x, y) of positive integers that satisfy the equation:
x3 = y2 – 15
There are 2 pairs (so far) that satisfy the equation:
x = 1, y = 4
x = 109, y = 1138
It's possible that these 2 points are the only two positive integer solutions...
I've achieved positive magnetoresistance (MR) in CNT composite thin films with a small percentage of Fe in it. Fe injects spin polarized electrons into CNT. But +ve MR means that resistance is increasing with magnetic field. But due to injection of spin polarized electrons the current has to...
Homework Statement
How much energy is need to place four positive charges, each of magnitude +5.0 mC, at the vertices of a square of side 2.5 cm?
Homework Equations
E = kQ/r^2
The Attempt at a Solution
I'm really not sure if what I did is close to correct, but I got an answer...
sorry for the many threads
Let S_n denote the number of ways of expressing n as positive integrs..
S_1=1 , s_2=2, s_3=4 ..
Prove that
S_n=S_{n-1}+S_{n-2} ---S_1+1
no idea to prove that :
I can't understand how does the absence of an electron at a point creates a positive charge there. In my opinion, it is wrong on account of conservation of charge. Because if we consider an electron(at a point A) as a system, and if the electron get displaced to another point B(in the system)...
Homework Statement
Prove that T is positive definite if and only if
\sum_{i,j} A_{ij}a_{j}\bar{a_{i}} > 0
for any non-zero tuple (a1, ...... , an )
Let A be [ T ]_{\beta}
where \beta is an orthogonal basis for T
The Attempt at a Solution
the sum looked like the matrix...
Find the number of positive integers in the range of 1976 through 3776 that are not divisible by 17.
A={\mathbb{Z}^+\ \mbox{not divisible by 17}}
Then I am looking for A^c
I am not sure how to do this though.