content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Sove simple equation doubt
September 21st 2011, 06:06 AM
FernandoBasso
Sove simple equation doubt
I'm solving this:
Code:
3 – 7 * (1 - 2x) = 5 – (x + 9)
And am trying this way:
Code:
3- 7 * (1 - 2x) = 5 - (x + 9)
3 - 7 ..?? ?? = 5 - x - 9)
What should be done in the part I put tho... | 4 | [
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0.029052734375,
0.01483154296875,
-0.02587890625,
-0.0751953125,
0.02... | 35,300 | 35300 | |
Transformation of the dynamics of mechanical system under coordinate change
up vote 0 down vote favorite
It is well known that the dynamics equation for a mechanical system (e.g. a robotics manipulator) is given be the Euler-Lagrange equation which takes the particular form (in the simplified version),
$$ M(q)\ddot{q... | 4 | [
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0.0310... | 35,301 | 35301 | |
Bernoulli equation
April 17th 2009, 01:00 PM #1
Newbie
Joined
Apr 2008
Posts
15
I am having trouble expanding this Bernoulli equation correctly to solve it. Any help to get me this far would be wonderful.
x^2 dx/dy = 2y (e^1/x y^-1/2 -1)
For those who think it looks confusing what inside the brac... | 5 | [
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-0.0539... | 35,302 | 35302 | |
Finding the volume revolved around the given axis?
April 19th 2010, 11:18 AM
AlphaRock
Finding the volume revolved around the given axis?
y = x^2
y = 2x
What is the volume of the region bounded by y = x^2 and y = 2x around y = 3?
April 19th 2010, 12:59 PM
Warrenx
Quote:
I guess the basics s... | 4 | [
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Filling a Tank
Associated Topics || Dr. Math Home || Search Dr. Math
Filling a Tank
Date: 08/01/97 at 20:14:14
... | 4 | [
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Calculating area of square within an ellipse
April 12th 2008, 05:13 PM #1
Newbie
Joined
Apr 2008
Posts
1
Have a home work problem I'm not too sure about. Need to know what the correct method for calculating the area and generic equation for a square area within an ellipse.
Can anybody out there point... | 4 | [
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0.0039672851562... | 35,305 | 35305 | |
Vector Proof
February 27th 2008, 12:37 PM #1
Newbie
Joined
Feb 2008
Posts
9
Vector Proof
If a and b are arbitrary scalar fields, show that
del.[del(a)xdel(b)] = 0.
Is this anything to do with perpendicular vectors as I remember if two vectors are indeed perp., then the dot product of both of th... | 4 | [
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0.0263671875,
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Pre Cal probs dealing with sinusoids
May 3rd 2009, 01:14 PM #1
Newbie
Joined
May 2009
Posts
6
Pre Cal probs dealing with sinusoids
[IMG]file:///Users/erin/Library/Caches/TemporaryItems/moz-screenshot.jpg[/IMG]I need help with these! If I have made headway on the problems, I have posted what I have below ... | 4 | [
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Set of vectors separated by at least a specified angle
up vote 7 down vote favorite
3
Suppose theta and d are given.
How big can a set of d-dimensional vectors be such that no pair of them are at angle less than theta?
I particularly want an upper bound; that is, an n=n(theta,d) such that given n d-dimensional vect... | 4 | [
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0.0... | 35,308 | 35308 | |
Normal Numbers
Date: 10/19/1999 at 04:20:18
From: Eugenio Rapella
Subject: Normal numbers
I teach math in an Italian high school; I'm fascinated by number
theory but I know almost nothing about it. I've some questions
concerning "normal numbers."
Let's say that a real number r is normal in base b if, writing r as a... | 5 | [
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Math Forum Discussions - THE MASONIC CODES of the UNITED STATES OF AMERICA, Part 7
Date: Aug 22, 2011 3:21 PM
Author: "ionvulcanescu"
Subject: THE MASONIC CODES of the UNITED STATES OF AMERICA, Part 7
Copyright 2011 by Ion Vulcanescu.
----------------------------------------
This article presents:
THE MASONIC CODES o... | 4 | [
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Differential Equation (Oscilation Problem)
January 26th 2011, 01:00 PM #1
Newbie
Joined
Dec 2010
From
Texas
Posts
3
Differential Equation (Oscilation Problem)
Hello,
I am trying to solve what I thought was going to be a simple differential equation.
$m\ddot{x}=-kx^{2n+1}:n \in \mathbb{Z}-\{0... | 5 | [
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How do I orthogonally diagonalize a matrix?
July 23rd 2009, 09:53 AM
lovestoskate
How do I orthogonally diagonalize a matrix?
I'm given a matrix
A = -3 0 -4
0 5 0
-4 0 3
I have to orthogonally diagonalize the matrix and give the orthogonal matrix P and the diagonal matrix D. I have no idea how... | 4 | [
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Planar intersections
January 12th 2011, 06:21 AM #16
Newbie
Joined
Jan 2011
Posts
19
I didnt think of that, but i suppose it would be along the now tilted wall? So the angle would always be measured on the surface of whatever object the disc falls on.
In that case, what you might want to consider doi... | 5 | [
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What is known about maximal free subgroups of surface groups?
up vote 4 down vote favorite
Let $\Gamma_g=< a_1,...,a_g,b_1,...,b_g | \prod_{i=1}^g [a_i,b_i]>$ (a surface group). What is known about maximal free subgroups of $\Gamma_g$ for $g>1.$ (I.e. free subgroups which are not properly
embedded into any other free ... | 5 | [
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... | 35,314 | 35314 | |
Number of elements and subgroups
December 5th 2013, 02:53 PM #1
Junior Member
Joined
Oct 2013
From
Moscow, Russia
Posts
41
Number of elements and subgroups
I have a question that I feel I am going about in a roundabout way, and would like some help on. I am preparing for an exam.
Problem: Let G... | 5 | [
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Arithmetic progressions in power sequences
up vote 12 down vote favorite
4
In connection with this MO post (and without any applications / motivation whatsoever), here is an apparently difficult - but nice - problem.
For a non-zero real number $s$, consider the infinite sequence $$ P_s := \{ 1^s, 2^s, 3^s, \ldots \} ... | 5 | [
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What is the inverse of this function!?
February 27th 2010, 04:17 AM #1
Newbie
Joined
Jan 2010
Posts
14
What is the inverse of this function!?
f(x) = tan(x) +3x for x in (-pi/2,pi/2)
This is just a little part of the whole question which is on the Inverse Function Theorem, I need to find the inverse ... | 5 | [
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Area of an inscribed Rectangle
June 3rd 2008, 08:46 PM
ludiaz223
Area of an inscribed Rectangle
A rectangle that is x feet wide is inscribed in a circle of radius 8 ft.
a) Express th area of the rectangle as a function of x.
b) find the domain of the function
c) What dimmensions maximize the area of... | 5 | [
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Equality of the sum of powers
up vote 9 down vote favorite
Hi everyone, I got a problem when proving lemmas for some combinatorial problems, and it is a question about integers.
Let
$\sum_{k=1}^m a_k^t = \sum_{k=1}^n b_k^t$
be an equation, where $m, n, t, a_i, b_i$ are positive integers, and $a_i \neq a_j$ for all ... | 4 | [
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0.026... | 35,319 | 35319 | |
evaluation of exponential expression
without a calculator, how do i determine that : 32^3/5 = 8
the problem is: evaluate: 32^-3/5 =1/32^3/5 =??? 1/8 ? thus my original question: without a calculator, how do i Know that 32^3/5 = 8 ...okay, find the fifth root of 32 and cube it, gotcha
If you want to be fancy This does... | 4 | [
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0.1044921875... | 35,320 | 35320 | |
Convergence of Newton series for sin ax
up vote 1 down vote favorite
2
Let's define half discrete-analytic function as a function whose Newton series converges to that function for each $x>0$:
$$f(x)=\sum_{k=0}^\infty \binom{x}k \Delta^k f\left (0\right)=\sum_{m=0}^{\infty} \binom {x}m \sum_{k=0}^m\binom mk(-1)^{m-k}... | 5 | [
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Solve inequality help plz!!
Note that $|3-4x| \geq 0$ always. If $xot = \tfrac{3}{4}$ then $|3-4x| ot = 0$ and so $|3-4x| > 0$. We know that $x=\tfrac{3}{4}$ cannot be such a number which makes this true - thus we will look at
all other numbers to solve this. Divide by $|3-4x|$ to get $(x+5)(3x-2)>0$. Case 1: Both $(x+... | 4 | [
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0.042... | 35,322 | 35322 | |
Find volume of a cube as a function of diagonal length.
September 29th 2010, 10:15 AM
choy777
Find volume of a cube as a function of diagonal length.
Find the relationship describing the volume (V) of a cube as a function of the length of the diagonal going through the cube (d). and evaluate it for a diagonal le... | 4 | [
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0... | 35,323 | 35323 | |
When is the product of two ideals equal to their intersection?
up vote 21 down vote favorite
18
Consider a ring $A$ and an affine scheme $X=SpecA$ . Given two ideals $I$ and $J$ and their associated subschemes $V(I)$ and $V(J)$, we know that the intersection $I\cap J$ corresponds to the union
$V(I\cap J)=V(I)\cup V(J)... | 5 | [
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... | 35,324 | 35324 | |
Double Integrating an Absolute Function
November 10th 2010, 12:48 PM #1
Having difficulty solving this one:
$\int\int_D|cos(x+y)|dA$ for $0 \leq x \leq \pi$ and $0 \leq y \leq \pi$.
For the first partition, I integrated
$\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}-x}}cos(x+y)dydx$ and got $\frac{... | 4 | [
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0.08251953125,
-0.076... | 35,325 | 35325 | |
The Fisher-Neyman Factorization Theorem
Suppose x n ∼Bernoulliθ x n Bernoulli θ are IID, , n= 1 , … , N n n 1 , … , N . Denote x= x 1 … x n T x x 1 … x n . Then
f θ x=∏ n =1Nθ x n 1−θ1− x n =θk1−θN−k=axb θ k f θ x n 1 N θ x n 1 θ 1 x n θ k 1 θ N k a x b θ k
(1)
where
k=∑ n =1N x n k n 1 N x n
,
ax=1 ... | 4 | [
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Intersection
January 22nd 2007, 01:49 PM
symmetry
Intersection
Two cars are approaching an intersection. One is 2 miles south of the intersection and is moving at a constant speed of 30 mph. At the same time, the other car is 3 miles east of the intersection
and is moving at a constant speed of 40 mph. Expre... | 4 | [
-0.0147705078125,
0.038330078125,
-0.0208740234375,
-0.040283203125,
0.004486083984375,
0.06201171875,
-0.041015625,
0.07421875,
-0.0245361328125,
0.08203125,
0.103515625,
-0.06494140625,
0.035400390625,
0.06689453125,
0.0184326171875,
0.04345703125,
-0.0167236328125,
0.00994873046... | 35,327 | 35327 | |
Evaluate the Limit
Date: 12/03/97 at 19:39:26
From: Justin Yackoski
Subject: Limit of (1-cos x)/(x^2) as X->0
In Calculus today we were trying to evalulate the limit of
(1-cos x)
---------
x^2
as x approaches zero.
I hope that looks right on your screen. The book said the answer was
1/2 but I graphed it on my ... | 5 | [
-0.05615234375,
0.0262451171875,
-0.07421875,
0.058837890625,
0.01806640625,
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0.040283203125,
0.0260009765625,
-0.0361328125,
0.0771484375,
0.01409912109375,
0.0018463134765625,
0.11328125,
0.01300048828125,
-0.0517578125,
-0.009033203125,
-0.1142578125... | 35,328 | 35328 | |
Summing a Binary Function Sequence
Date: 07/16/98 at 15:56:16
From: Mark Ping
Subject: Calculate the sum of a sequences
Dear Dr. Math,
Here is the question:
Compute
oo
----
\ B(n)
/ --------
---- n(n+1)
n=1
where B(n) denotes the sum of the binary digits of n.
Thanks,
Mark Ping
... | 5 | [
-0.09619140625,
0.061279296875,
-0.00238037109375,
0.01361083984375,
-0.0184326171875,
0.0218505859375,
0.000637054443359375,
0.009765625,
-0.005615234375,
-0.054931640625,
-0.080078125,
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-0.0242919921875,
0.01007080078125,
-0.0654296875,
0.034423828125,
-0.0290527343... | 35,329 | 35329 | |
Coordinate geometry--
October 19th 2010, 08:52 AM
Ilsa
Coordinate geometry--
Find the equation of the line through the point (5,2) and parallel to the line 2y-3x=4. Find the value of a if the line ax-(a+1)y+2=0 does not intersect the pair of parallel lines.
The underlined part is what i could not get.
Octo... | 4 | [
-0.119140625,
0.00872802734375,
0.041259765625,
-0.060302734375,
0.056396484375,
0.064453125,
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0.00634765625,
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0.0712890625,
0.10888671875,
-0.07080078125,
0.00151824951171875,
-0.033447265625,
0.00616455078125,
0.032470703125,
-0.11474609375,
-0.04785... | 35,330 | 35330 | |
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Topic: Egyptian algebraic geometry
Replies: 11 Last Post:... | 4 | [
-0.099609375,
0.09228515625,
-0.01214599609375,
0.004852294921875,
-0.05029296875,
-0.07421875,
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0.1240234375,
0.07275390625,
-0.028564453125,
-0.0439453125,
-0.01214599609375,
-0.006866455078125,
0.0556640625,
0.01336669921875,
-0.054443359375,
-0.0673828125,
0.07373046... | 35,331 | 35331 | |
What is the shape of the zeta function of a singular hypersurface?
up vote 4 down vote favorite
So let $X$ be a projective hypersurface inside $\mathbb{P}_{\mathbb{Z}}^n$ of degree $d$. Assume that
(a) $X(\mathbb{C})$ and $X(\overline{\mathbb{F}}_p)$ are irreducible,
(b) and that $X(\mathbb{C})$ and $X(\overline{\ma... | 4 | [
-0.09130859375,
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0.01409912109375,
0.016357421875,
0.0030975341796875,
-0.0274658203125,
0.05224609375,
0.0771484375,
-0.0283203125,
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0.037841796875,
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-0.049072265625,
-0.03564453125,
-0.01953125,
-0.0615234375,
-0.... | 35,332 | 35332 | |
In Task Scheduling, It Is Common To Use A Graph... | Chegg.com
Question:
In task scheduling, it is common to use a graph representation with a node for each task and a directed edge from task i to task j if i is a precondition for j. This directed graph depicts the
precedence constraints in the scheduling problem. Cl... | 4 | [
-0.060791015625,
0.0262451171875,
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0.05078125,
0.08837890625,
0.0068359375,
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0.0203857421875,
0.017578125,
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0.049560546875,
0.0289306640625,
-0.002960205078125,
0.0308837890625,
0.09765625,
-0.08496... | 35,333 | 35333 | |
Possible locations for non trivial zeroes lying off the critical line
up vote 0 down vote favorite
It has been proven that:
1) if $s$ is a non trivial zero $\rho$ of $\zeta(s)$ then so is $1−s$.
2) $\zeta(s) = 2^s \pi^{s-1} \sin(\frac{\pi s}{2}) \Gamma(1-s) \zeta(1-s)$
3) $ 0 < \Re(\rho) <1$
From this it follows t... | 4 | [
-0.09130859375,
-0.0439453125,
-0.072265625,
0.060302734375,
0.058837890625,
0.007293701171875,
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0.04052734375,
0.0225830078125,
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0.0108642578125,
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-0.0133056640625,
-0.023681640625,
-0.083984375,
0.05615234375,
-0.09863281... | 35,334 | 35334 | |
Vehicle travelling question
May 25th 2009, 11:08 PM #1
Newbie
Joined
May 2009
Posts
7
Vehicle travelling question
a vehicle , say A, starts 13km north of an intersection and proceeds due south at 50kph. Another vehicle, say B, starts 8km east of the intersection and proceeds due west at 40kph.
A) fi... | 4 | [
-0.025146484375,
0.10107421875,
0.04248046875,
-0.0810546875,
-0.0007171630859375,
0.036865234375,
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0.11181640625,
-0.0133056640625,
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0.095703125,
-0.033447265625,
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0.0771484375,
-0.0380859375,
0.09716796875,
-0.0264892578125,
-0... | 35,335 | 35335 | |
Dividing a Circle into 8 Equal Parts
Date: 08/19/2002 at 22:23:17
From: Thomas Weir
Subject: Dividing a circle into equal parts
If you have a diameter (= 14ft), can you mark off the 1/8 sides of the
circumference so that they are equal?
Thank you,
Tom
P.S. I'm a contractor, and the concrete is coming at 1:00 P.M.
t... | 4 | [
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0.05908203125,
0.0458984375,
0.0478515625,
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0.1357421875,
0.05810546875,
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0.10791015625,
-0.033935546875,
-0.044677734375,
-0.031982421875,
0.0419921875,
... | 35,336 | 35336 | |
Need help finding δ in this calculus problem!
January 19th 2014, 12:51 PM #1
Junior Member
Joined
Feb 2013
From
PA
Posts
26
Need help finding δ in this calculus problem!
Hi all,
The problem shows the graph of f(x) = x^2 - 1 and asks to find δ such that if 0 < |x - 2| < δ, then |f(x) - 3| < 0.2.
... | 4 | [
-0.0150146484375,
-0.02294921875,
-0.009521484375,
-0.05908203125,
0.0546875,
0.017333984375,
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0.042236328125,
-0.05224609375,
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0.0732421875,
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0.0277099609375,
-0.01190185546875,
0.033203125,
-0.0093994140625,
0.031494140625,
-0.1113281... | 35,337 | 35337 | |
Assigning Random Numbers
Date: 05/16/2000 at 09:21:10
From: Ande Bennett
Subject: Randomization
I am using a programming language and have a random number generator
that can generate a random number of 0, 1, or 2. I need to assign
those three values to 4, 12, and 14. I am looking for a formula to do
this. For exampl... | 4 | [
-0.005645751953125,
0.0022125244140625,
0.0186767578125,
-0.06494140625,
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0.028564453125,
0.056396484375,
0.019775390625,
0.031494140625,
-0.125976562... | 35,338 | 35338 | |
Three modifications of connectedness
up vote -1 down vote favorite
1
This question arose in my research of generalized connectedness (see this draft article for the overall idea, but beware that the draft is yet too preliminary and unreadable, however I hope you can
understand the overall idea from the draft):
Let $U... | 4 | [
-0.01214599609375,
-0.06396484375,
-0.04150390625,
-0.04052734375,
0.019775390625,
0.04248046875,
0.0927734375,
-0.01080322265625,
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0.00408935546875,
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0.04296875,
0.009765625,
0.10498046875,
0.06005859375,
0.051025390625,
0.0419921875,
-0.05029296875,
-0... | 35,339 | 35339 | |
Help with derivative application and application in relation to time.
October 8th 2008, 11:35 PM #1
Junior Member
Joined
Sep 2008
Posts
42
Help with derivative application and application in relation to time.
I have a Calculus test tomorrow, and I'm honestly lost here. This is from a sample test.
5.... | 4 | [
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0.06396484375,
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0.09033203125,
0.0281982421875,
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0.00616455078125,
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-0.047607421875,
-0.0115966796875,
-0.0218505859375,
-0.... | 35,340 | 35340 | |
E problem
April 8th 2010, 05:09 PM #1
Newbie
Joined
Apr 2010
Posts
2
E problem
Must find x
Ae^Bx = e^Cx
Where A,B,C are constants
My work:
lnA + Bx = Cx
lnA / (C - B) = x
I am not confident in this answer
I get
$Ae^{Bx} = e^{Cx}$
$\ln (Ae^{Bx}) = \ln (e^{Cx})$... | 4 | [
-0.046875,
0.0233154296875,
0.021484375,
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0.0120849609375,
0.04833984375,
0.03857421875,
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0.002197265625,
0.08154296875,
0.05615234375,
0.026123046875,
-0.1474609375,
0.005035400390625... | 35,341 | 35341 | |
one angle one circle and one point
January 17th 2009, 11:06 AM
Narek
one angle one circle and one point
hi to everyone.
here I have a problem which has to be solved geometrically. The problem is the following:
There exists an angle. we have a point "A" which is set in a random place inside the angle. T... | 4 | [
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0.01611328125,
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0.07763671875,
0.0032806396484375,
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0.049560546875,
0.051025390625,
0.08544921875,
0.01239013671875,
-0.1103515625,
-0.03271484375,
... | 35,342 | 35342 | |
Solving Rational Inequalities
May 31st 2009, 04:45 PM
Exquisite
Solving Rational Inequalities
I'm having difficulty understanding inequalities. I thought I knew what to do in order to solve them, but when I did the practice problems, I kept getting them wrong. My mind is pretty
overwhelmed. (Crying)
I a... | 4 | [
-0.064453125,
0.036376953125,
0.08154296875,
0.01171875,
-0.0791015625,
0.0458984375,
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0.01080322265625,
0.010498046875,
-0.02734375,
-0.055908203125,
-0.0228271484375,
0.06298828125,
0.028564453125,
-0.036376953125,
0.0390625,
0.0030517578125,
-0.0390625,
-0.0815... | 35,343 | 35343 | |
GMAT Math: Advanced Geometric Solids
The GMAT will ask you about geometric solids. The OG tells you that you should expect questions about rectangular solids and cylinders.
Here, I will discuss four less common solids that are much less likely to appear on the GMAT Math section: the prism, the pyramid, the cone, and ... | 4 | [
-0.04150390625,
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0.02197265625,
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0.010009765625,
0.07568359375,
0.033203125,
0.035400390625,
-0.0615234375,
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-0.0191650390625,
0.03369140625,
0.0179443359375,
-0.08154296875,
0.0255126953125,
-0.02734375,
... | 35,344 | 35344 | |
Differences between reflexives and projectives modules
up vote 5 down vote favorite
2
Let R be a normal noetherian domain.
What is the difference between a finitely generated reflexive module and a finitely generated projective module?
Can anybody recommend any references or make any suggestions about this?
Finitel... | 4 | [
-0.08154296875,
0.0050048828125,
-0.0869140625,
0.004241943359375,
0.053466796875,
0.0225830078125,
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-0.00665283203125,
0.0128173828125,
0.005126953125,
0.035400390625,
0.0025634765625,
0.0625,
-0.00057220458984375,
0.043701171875,
0.00518798828125,
0.047607421875,
-... | 35,345 | 35345 | |
Strongly Regular Graphs
(This material is taken from Chapter 2 of Cameron & Van Lint, Designs, Graphs, Codes and their Links)
Our graphs will be simple undirected graphs (no loops or multiple edges). Graphs do not make interesting designs. A general graph is a 0-design with k = 2. A regular graph is a 1- design and t... | 5 | [
-0.0322265625,
0.039306640625,
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0.045654296875,
0.001739501953125,
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-0.0111083984375,
0.02978515625,
0.036865234375,
0.00775146484375,
-0.035... | 35,346 | 35346 | |
Characterization of primes
May 20th 2010, 03:39 AM #1
Member
Joined
Nov 2009
Posts
169
Characterization of primes
Show that $(x+1)^n \equiv x^n + 1^n \mod n$ in $\mathbb{Z}[x]$ if and only if n is a prime.
(In other words,all coefficients in the difference polynomial $(x + 1)^n - (x^n + 1^n)$ are div... | 5 | [
-0.01495361328125,
0.06494140625,
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0.08740234375,
-0.029052734375,
-0.040771484375,
-0.059814453125,
0.0157470703125,
-0.0... | 35,347 | 35347 | |
Can we extract information about how fast a function decay from its Laplace transform?
up vote 2 down vote favorite
1
My question is whether we can extract information about how fast an integrable function converges to zero by looking at the asymptotics of its Laplace transform.
More concrete case, let $f:\mathbb{R} ... | 5 | [
-0.0224609375,
-0.059814453125,
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0.007476806640625,
-0.1005859375,
0.078125,
0.0341796875,
... | 35,348 | 35348 | |
Find Dimensions of Rectangle
November 8th 2008, 07:49 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find Dimensions of Rectangle
A special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside dimensions are 100 feet in length. Find the ... | 4 | [
0.0242919921875,
0.04150390625,
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0.0306396484375,
-0.0091552734375,
0.0191650390625,
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0.10302734375,
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0.009521484375,
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0.06494140625,
0.09423828125,
0.017822265625,
-0.0020294189453125,
0.012451171875,
0.0... | 35,349 | 35349 | |
Is there a "primitive-recursively enumerable" set whose complement is not such?
up vote 7 down vote favorite
2
Call a subset of $\mathbb{N}$ primitive-recursively enumerable (p-r.e.) if it is empty or an image of a primitive recursive function. I feel like a lot must be known about the poset of such sets
ordered by in... | 5 | [
-0.00323486328125,
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-0.005340576171875,
-0.002593994140625,
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0.049072265625,
0.00762939453125,
0.0135498046875,
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0.032958984375,
0.00408935546875,
0.0020599365234375,
0.00970458984375,
-0.03515625,
-0.0006217... | 35,350 | 35350 | |
Degree of image of a polynomial map
up vote 4 down vote favorite
2
Let $K$ be a field. Let $V/K$ be an affine variety in $A^m$. Let f be a polynomial map (and hence a "morphism of finite type") $f:V\to A^n$. A theorem of Chevalley's tells us that im(f) is either a
variety or "almost" a variety - that is, im(f) is a va... | 5 | [
0.0262451171875,
0.057373046875,
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0.08251953125,
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-0.0380859375,
0.040283203125,
-0.05053710... | 35,351 | 35351 | |
Word problem involving differentiation..
December 1st 2008, 10:17 AM
struck
Word problem involving differentiation..
A water tank has a rectangular base 1.5m by 1.2m. The sides are vertical and water is being added to the tank at a constant rate of 0.45m^3. At what rate is the depth of water in the tank
incr... | 5 | [
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0.03369140625,
0.0341796875,
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0.058349609375,
0.09375,
-0.005523681640625,
0.0303955078125,
-0.054931640625,
0... | 35,352 | 35352 | |
Intuition behind o-minimal structures.
up vote 9 down vote favorite
4
This is very much the same post as I posted at math.stackexchange.
I am following the definitions of an o-minimal system in "Tame Topology and O-minimal Structures" by Lou van den Dries.
It is immediate from the definition that the graph of $\sin(... | 5 | [
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0.0595703125,
0.0419921875,
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0.0283203125,
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0.04150390625,
-0.0198974609375,
0.0030517578125,
-0.02294921875,
0.07177734375,
0.0128784179... | 35,353 | 35353 | |
Number of Combinations for 7 Dice
Date: 22 Feb 1995 01:22:08 -0500
From: Michel
Subject: 7 dice # of combinations?
Hello there!
I'm looking for the derived formula solution for the following problem
someone posted in a math echo and to whom I've replied this:
There are seven dice. Each die has six faces. How ma... | 4 | [
0.0361328125,
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-0.0277099609375,
-0.033935546875,
0.005706787109375,
-0.054443359375,
-0.0598... | 35,354 | 35354 | |
When rolling three dice, what is the probability of
February 22nd 2009, 07:27 PM #1
Newbie
Joined
Feb 2009
Posts
1
When rolling three dice, what is the probability of
When rolling three dice, what is the probability of
a) getting three different numbers?
b) having at least one two and at leas... | 4 | [
0.01556396484375,
-0.0576171875,
-0.0771484375,
-0.07080078125,
-0.0732421875,
0.08056640625,
0.08203125,
-0.06298828125,
-0.002288818359375,
-0.0162353515625,
-0.0242919921875,
-0.04833984375,
0.01519775390625,
-0.055908203125,
0.05322265625,
-0.0458984375,
-0.0859375,
-0.02233886... | 35,355 | 35355 | |
Questions about special $C^*$-subalgebras and ideals.
up vote 1 down vote favorite
1
Let $A$ be a $C^*$-algebra and $I$ be a two side closed (essential) ideal of $A$. Suppose that $p \in A\backslash I$ is a non trivial projection. Let $B=pIp$. My questions are:
(1) Is $B$ a $C^*$-subalgebra of $I$?
(2) If (1) is cor... | 5 | [
-0.0966796875,
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0.0289306640625,
-0.01312255859375,
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0.045654296875,
-0.06298828125,
-0.006561279296875,
0.052978515625,
0.004302978515625,
... | 35,356 | 35356 | |
Number of Iterations
September 15th 2010, 02:49 PM #1
Newbie
Joined
Sep 2010
Posts
3
Number of Iterations
How many times does the innermost loop execute:
Code:
for k = 1 to n
for j = 1 to k
for i = 1 to j
#the inner loop
end for
end for
... | 5 | [
0.043701171875,
0.0030059814453125,
-0.00011777877807617188,
0.0142822265625,
-0.0185546875,
-0.020751953125,
0.040283203125,
-0.04248046875,
0.02587890625,
-0.03125,
-0.057861328125,
0.054443359375,
0.052490234375,
-0.10400390625,
-0.04638671875,
0.0166015625,
-0.054931640625,
-0.... | 35,357 | 35357 | |
Method of Characteristics: Prove the u and v is a solution
October 23rd 2010, 09:41 AM #1
Method of Characteristics: Prove the u and v is a solution
Dear Folks,
Can anyone get me started on how to approach the following question:
Consider the following 1st order linear PDE $a(x,y) \frac{\partial u}{\par... | 5 | [
-0.039794921875,
0.037841796875,
0.041015625,
-0.00592041015625,
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-0.1328125,
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0.020751953125,
0.05908203125,
0.01104736328125,
-0.056640625,
0.013549804... | 35,358 | 35358 | |
DERIVATION OF THE BLACK-SCHOLES EQUATION
┏━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
... | 4 | [
-0.051513671875,
0.03515625,
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0.01483154296875,
-0.032958984375,
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0.045166015625,
0.042724609375,
-0.035400390625,
0.06884765625,
-0.00848388671875,
-0.0030364990234375,
-0.09326171875,
-0.05078125,
0.0703125,
-0.07666015625,
-0.00... | 35,359 | 35359 | |
Cantor set and Hilbert cube, or anything else?
up vote 4 down vote favorite
I have recently rediscovered (after several years) the wonder of the Cantor set (so rich and so beautiful!). I have two questions that are unrelated, but they are both about Cantor sets.
1. Let $K$ be a non-empty compact, perfect, metric spa... | 5 | [
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-0.103515625,
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-0.0264892578125,
0.0162353515625,
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-0.01080322265625,
-0.0277099609375,
-0.03271484375,
0.007293701171875,
-0.02... | 35,360 | 35360 | |
rational exponents
August 11th 2011, 09:46 PM #1
Member
Joined
Oct 2010
From
Heart of Winter
Posts
115
Thanks
1
rational exponents
I can not get this. the left hand side simplifies to the right.
$-x^2(x^2+1)^{-3/2}+(x^2+1)^{-1/2} \Rightarrow (x^2+1)^{-3/2}$
I tried this but but then if ... | 4 | [
0.0240478515625,
-0.0245361328125,
0.0035858154296875,
0.08154296875,
0.05322265625,
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0.01348876953125,
0.08740234375,
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0.039306640625,
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0.0869140625,
0.103515625,
-0.0556640625,
0.01611328125,
-0.00054168701171875,
0.009... | 35,361 | 35361 | |
Math Forum Discussions - Re: An optimization problem
Date: Sep 7, 2013 3:40 PM
Author: RGVickson@shaw.ca
Subject: Re: An optimization problem
On Saturday, September 7, 2013 6:00:16 AM UTC-7, anal...@hotmail.com wrote:
> consider f(x1,x2,...xn) = {1 + sum(xi)^2)} / {1 +sum{x(i)}
>
>
>
> 0 <=xi <=1 for all i.
>
>
>
> Th... | 5 | [
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0.017578125,
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0.06298828125,
0.05029296875,
-0.01... | 35,362 | 35362 | |
Unitary matrices- General form
November 22nd 2007, 07:02 AM #1
Junior Member
Joined
Nov 2007
Posts
68
Unitary matrices- General form
Does anybody know the general form of a 2x2 unitary matrix such that GG*=I. Where I is identity matrix and G* is conjugate traspose of G. I have been told that it is:
... | 4 | [
-0.12060546875,
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0.00567626953125,
-0.0216064453125,
0.046630859375,
0.021484375,
-0.01... | 35,363 | 35363 | |
l'Hopital's rule
January 23rd 2009, 08:15 AM #1
Newbie
Joined
Dec 2008
From
Pennington gap
Posts
16
l'Hopital's rule
Find the limit by using the l' Hopital's rule!
\lim_{x\to0}\frac{\cos\!\left(x\right)-1}{2x^2}
So far i got to
\lim_{x\to0}\frac{\-sin\!\left(x}{4x}
What do you do n... | 4 | [
0.00885009765625,
0.0002346038818359375,
0.00860595703125,
0.0308837890625,
0.028076171875,
-0.021240234375,
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0.012939453125,
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0.08349609375,
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0.04345703125,
0.02294921875,
-0.009521484375,
0.00274658203125,
0.0290... | 35,364 | 35364 | |
Proof by Induction
May 16th 2010, 10:02 AM #1
Newbie
Joined
Oct 2009
Posts
16
Proof by Induction
I am to prove the following equation by induction:
(1/2)+(1/6)+(1/12)+...+1/n(n+1)=n/(n+1)
so far I have the base case= 1
Assume this is true for n=k
(1/2)+(1/6)+(1/12)+...+1/k(k+1)=k/(k+1... | 4 | [
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0.01953125,
0.01446533203125,
0.078125,
0.03125,
... | 35,365 | 35365 | |
Motion - Please, any help???
April 24th 2010, 06:46 AM #1
Junior Member
Joined
Nov 2009
Posts
54
A large stone is falling through a layer of mud and its depth x m below ground level at time t minutes is given by x = 12 - 12e^(-0.5t). How long will it take the stone to reach within 1 mm of
its final po... | 5 | [
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0.07275390625,
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0.09375,
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0.09765625,
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0.039306640625,
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-0.00628662109375,
-0.01507568359375,
0.0184326171875... | 35,366 | 35366 | |
Electrical Engineering Archive | January 31, 2010 | Chegg.com
There is no initialenergy stored in the circuit shown in the Figure. Find the
value of vo for t ¸ 0 in this circuit.
1. Find the initial conditionsfor the circuit in the figure. The value of the initial conditionsmay be given in the statement of the problem... | 4 | [
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0.0625,
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-0.020263671875,
-0.0712890625,
-0.01177978515625,
0.... | 35,367 | 35367 | |
polar equation
November 14th 2009, 02:13 PM #1
Member
Joined
Feb 2009
Posts
91
polar equation
Hi
Show that the polar equation r= a cos x + b sin x where ab not equal 0 represents a circle and find its center and radius
I really have no idea where to start - any ideas at all??
Thanks
S... | 4 | [
-0.061767578125,
-0.018310546875,
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0.040283203125,
0.0260009765625,
0.04931640625,
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0.0025787353515625,
0.08642578125,
-0.0225830078125,
0.01806640625,
0.0341796875,
-0.00135040283203125,
0.1025390625,
0.078125,
0.0673828125,
-0.07080078125,
-0.020996093... | 35,368 | 35368 | |
6.25 -> binary
09-09-2003 #1
Registered User
Join Date
Nov 2002
Posts
1,109
6.25 -> binary
I need some help with this. I'm not sure if I did it right, but converting decimal 6.25 to binary, I got 110010011. Is this right?
I was just able to print the homework today, and I have a class tomorrow durin... | 4 | [
0.0118408203125,
0.0634765625,
0.004608154296875,
-0.056396484375,
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-0.00162506103515625,
-0.0216064453125,
0.10986328125,
-0.126953125,
-0.0267333984375,
-0.08544921875,
-0.1015625,
0.04736328125,
-0.06005859375,
-0.0257568359375,
0.032958984375,
-0.06689453125,
0.... | 35,369 | 35369 | |
cauchy condensation test
April 25th 2010, 05:33 AM #1
Junior Member
Joined
Apr 2010
Posts
43
cauchy condensation test
Hello to all,
the cauchy condensation test says:
sum(a_n) converges if and only if sum (2^n)(a_(2^n)) converges.
So how do we pronve using this test the divergence of
1) s... | 5 | [
-0.0291748046875,
-0.125,
0.07080078125,
0.046875,
0.06787109375,
-0.051025390625,
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0.0439453125,
0.0084228515625,
0.024169921875,
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-0.01806640625,
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0.013427734375,
-0.051025390625,
0.0302734375,
-0.0673828125,
-0.0703125,
0.02355... | 35,370 | 35370 | |
Bayesian Phylogenetic Analysis
Exercise written by: Anders Gorm Pedersen
Overview
Today's exercise will focus on phylogenetic analysis using Bayesian methods. We already discussed Bayesian statistics and Bayesian phylogeny in class, but if you want to refresh your memory, then you
can read a brief introduction at th... | 4 | [
-0.08203125,
0.00113677978515625,
0.07861328125,
-0.0908203125,
-0.002410888671875,
0.006988525390625,
-0.07470703125,
0.0262451171875,
0.005523681640625,
0.048828125,
0.140625,
-0.0537109375,
-0.0006561279296875,
0.01385498046875,
-0.04296875,
0.005157470703125,
-0.04931640625,
0.... | 35,371 | 35371 | |
Schwartz space inequality
up vote 0 down vote favorite
Let $g$ be a function in the Schwartz space $\mathscr S (\mathbb R)$. Show that for any $l \ge 0$, we have $\sup_x |x|^l |g(x-y)|\le A_l (1+|y|)^l$ by considering separately the cases $|x|\le 2|y|$
and $|x|\ge 2 |y|$.
The Schwartz space is defined as the set $\ma... | 5 | [
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0.000080108642578125,
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0.07080078125,
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0.06640625,
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0.032470703125,
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-0.0244140625,
-0.0279541015625,
0.0284423828125,
-0.076171875,
-0.0251464843... | 35,372 | 35372 | |
Trigonometry im lost
March 2nd 2014, 01:37 PM #16
Senior Member
Joined
Feb 2014
From
United States
Posts
454
Thanks
184
Re: Trigonometry im lost
You convert by adding the equivalent of a circle, either 360 degrees or 2 pi radians.
So converting - 0.848 radians to positive radian measure give... | 4 | [
-0.03759765625,
-0.0191650390625,
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0.04736328125,
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0.049072265625,
0.09375,
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0.057373046875,
0.06298828125,
0.036376953125,
-0.06201171875,
0.000682830810546875,
-0.0091... | 35,373 | 35373 | |
The Relation of the Speed of a Boat to the Water Line
Date: 2/27/96 at 16:22:11
From: Anonymous
Subject: math
I have a math question.
I understand that there is a mathematical formula or equation for
calculating the speed of a boat as it relates to the water line
of the boat. Can you help?
Date: 3/2/96 at 14:53:... | 5 | [
-0.0294189453125,
0.05615234375,
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0.04248046875,
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0.08203125,
-0.05322265625,
0.021728515625,
-0.01220703125,
0.067871093... | 35,374 | 35374 | |
Help for domain and range
May 1st 2010, 03:10 AM #1
Newbie
Joined
Mar 2010
Posts
10
Help for domain and range
Hi all,
I am having trouble with the process for this problem.
What is the domain and range for this function?
$f(x)=\sqrt{\frac{x-1}{x+1}} <br />$
Thanks.
Hi
The dom... | 4 | [
-0.026123046875,
-0.04150390625,
0.0126953125,
-0.048583984375,
-0.04150390625,
-0.041259765625,
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0.0108642578125,
0.0137939453125,
-0.028076171875,
0.02490234375,
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0.058349609375,
0.06689453125,
0.004730224609375,
-0.0203857421875,
-0.00396728515625,
-... | 35,375 | 35375 | |
Patent US6490374 - Accelerated signal encoding and reconstruction using pixon method
This is a continuation application of Ser. No. 09/333,172, filed Jun. 14, 1999, which is a continuation in part application of Ser. No. 08/073,929, filed Jun. 8, 1993, now U.S. Pat. No. 5,912,993.
Pursuant to 35 U.S.C. §202(c), it is ... | 4 | [
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0.06396484375,
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-0.034423828125,
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0.05419921875,
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-0.05419921875,
-0.004791259765625,
0.01721191... | 35,376 | 35376 | |
www.unc.educourses2007springenvr890003lectur
Assessing Risk from Environmental
Exposure to Waterborne Pathogens:
Use of Dynamic, Population-Based
Analytical Methods and Models
May 11, 2005
This lecture is based on lecture material prepared by Prof.
Joe... | 5 | [
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0.076171875,
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0.07568359375,
-0.154296875,
-0.036865234375,
-0.064453125,
0.00958251953125... | 35,377 | 35377 | |
Equation for Line Of Best Fit?
April 12th 2013, 08:10 AM
tdotodot
Equation for Line Of Best Fit?
I have a chart out of which I made a graph, On Microsoft Excel (2011 for mac). I then added a Line of Best Fit.
I need to answer questions about the graph, which include knowing the line of best fit. (Teacher s... | 4 | [
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0.018798828125,
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0.0341796875,
-0.004730224609375,
0.021240234375,
0.091796875,
-0.0078125,
0.00592041... | 35,378 | 35378 | |
Diffusion in Ehrenfest wind-tree model
Posted by: matheuscmss | November 18, 2011
Diffusion in Ehrenfest wind-tree model
A few weeks ago, I was invited by my friend Jairo Bochi to give a “general audience like” talk (that I’ll deliver today) at UFRJ (Brazil) in a Dynamical Systems seminar called EDAI. After thinking ... | 4 | [
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0.061279296875,
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0.03515625,
0.014404296875,
-0.068359375,
-0.033935546875,
-0.0668945... | 35,379 | 35379 | |
password problem.
October 10th 2011, 02:50 AM #1
Senior Member
Joined
Jan 2007
Posts
477
password problem.
there are 26 possible letters in the english alphabet, pick passwords that don't contain any repeated letters. passwords are 5 letters each, how many passwords are to choose from?
I'm not sure ... | 4 | [
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-0.034912109375,
-0.04296875,
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-0.07666015625,
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0.08935546875,
-0.1103515625,
-0.0296630859375,
-0... | 35,380 | 35380 | |
Finding f(x)
April 21st 2009, 10:51 AM #1
Junior Member
Joined
Feb 2009
Posts
36
Finding f(x)
Let f be the function defined for all x > -5 and having the following properties. Find an expression for f(x).
i) f ''(x) = 1/ (x+5)^1/3 for all x in the domain of f
ii) the line tangent to the graph of ... | 5 | [
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0.003814697265625,
0.01446533203125,
0.0244140625,
0.005218505859375,
-... | 35,381 | 35381 | |
ono-one function question and partial fractions question
October 2nd 2011, 12:33 AM #8
October 2nd 2011, 12:31 AM #7
Newbie
October 2nd 2011, 12:01 AM #6
October 1st 2011, 11:51 PM #5
Newbie
October 1st 2011, 10:40 PM #4
Grand Panjandrum
October 1st 2011, 09:14 PM #3
Newbie
October 1st 2011, 09:06 PM #2
October... | 4 | [
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0.06591796875,
0.03564453125,
-0.0024871826171875,
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0.027221679687... | 35,382 | 35382 | |
Method Simultaneously Matches Inputs and Outputs
Engineers working on amplifier designs learned about the unilateral gain approach last month in Part 3 of this article series. That technique aims at simplifying amplifier design by providing an
approximate solution, ignoring feedback in the transistor and with it the in... | 4 | [
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Cofactor of a Determinant
September 3rd 2010, 06:41 AM #1
Banned
Joined
Aug 2010
Posts
961
Thanks
98
Cofactor of a Determinant
A 4th order determinant (aij) is given by
e(ijkl) a1i a2j a3k a4l
and the summation convention over repeated indices. e(ijkl) is the general kronecker delta (for ex... | 5 | [
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[SOLVED] Please help with proof
February 2nd 2010, 09:46 AM #1
Junior Member
Joined
Feb 2010
Posts
28
[SOLVED] Please help with proof
I have no idea how to go about it really. Any help is very much appreciated.
$<br /> \sum_{k=1}^{n}k^2 = \frac{n(n+1)(2n+1)}{6}<br />$
Hi nunos
I suggest us... | 4 | [
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Trigonometric Identities
Prove the following identity cosec (theta) + tan (theta) = 1 / [cosec (theta) - tan (theta)]
cosec (theta) + tan (theta) = 1 / sin (theta) + (sin (theta)/cos (theta)) = [cos (theta) + sin ^2 (theta) ] / sin (theta) cos (theta) I require help for further steps If I substitute sin^2 (theta) =
1 ... | 4 | [
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0.04394... | 35,386 | 35386 | |
Chain rule
September 20th 2005, 10:52 AM
Mathman24
Urgent help needed
Hi
I have this calculus question question which has caused me some trouble:
$z = y + f(x^2 - y^2)$
Where f is diffentiable
I need to show that
$y \frac{\partial z}{\partial x} + x \frac{\partial z}{\partial y} = x$
... | 5 | [
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2-cocycle twists of braided Hopf algebras
up vote 10 down vote favorite
6
2-cocycle twists of Hopf algebras
Let $H$ be a Hopf algebra over a field $k$. Then a (left, unital) 2-cocycle on $H$ is a map $$ f: H \otimes H \to k$$ such that $$ f(x_{(1)},y_{(1)})f(x_{(2)} y_{(2)}, z) = f(y_{(1)}, z_{(1)}) f(x,
y_{(2)} z_{(... | 4 | [
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0.024536132... | 35,388 | 35388 | |
Projective modules over quantum groups
up vote 12 down vote favorite
6
My question is short:
How can one calculate $\operatorname{Tor}_{U_q(\mathfrak g)}(k,k)$?
($k$ is the ground field of characteristic zero).
If we had a regular universal enveloping algebra $U(\mathfrak g)$, then of course this is just $H_\as... | 5 | [
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0.0429... | 35,389 | 35389 | |
Exhibit an explicit bijection between irreducible polynomials over finite fields and Lyndon words.
up vote 12 down vote favorite
5
Let $q$ be a power of a prime. It's well-known that the function $B(n, q) = \frac{1}{n} \sum_{d | n} \mu \left( \frac{n}{d} \right) q^d$ counts both the number of irreducible polynomials o... | 4 | [
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... | 35,390 | 35390 | |
probability
December 31st 2008, 05:41 AM #1
MHF Contributor
Joined
Sep 2008
From
West Malaysia
Posts
1,261
probability
A and B plays chess everyday . The probability that A beats B in any game is twice the probability that B beats A . The probability that B beats A is three times the probability that... | 4 | [
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ket
Bra-ket notation
From Example Problems
Bra-ket notation is the standard notation for describing quantum states in the theory of quantum mechanics. It can also be used to denote abstract vectors and linear functionals in pure mathematics.
It is so called because the inner product of two states is denoted by a brac... | 4 | [
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0.00494384765... | 35,392 | 35392 | |
Markov Chains Lessons
Date: Thu, 18 Jul 1996 00:49:58 -0500 (EST)
Subject: discrete math
Eileen Schoaff
Mathematics Department
Buffalo State College
Buffalo NY 14222
SCHOAFEM@SNYBUFAA.CS.SNYBUF.EDU
The following is a set of projects that I use in my discrete mathematics
course. I teach 11th grade students in a gi... | 5 | [
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Principle when limits level by level don't commute with simplicial structure
up vote 3 down vote favorite
2
Are there general principles when a simplicial object is a (co)limit of other simplicial objects level by level, but is not a (co)limit when considering the entire simplicial structure?
Objects can be groups or... | 4 | [
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0.0712890625... | 35,394 | 35394 | |
Proving D is onto
April 18th 2010, 06:46 AM #1
Newbie
Joined
Apr 2010
Posts
11
Proving D is onto
Let $V$ be the collection of all functions whose domain is $R<br />$ and differentiable on the domain. Also, let $U$ be the
collection of all functions whose domain is $R$and continuous on the domain.
... | 4 | [
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0.053466796... | 35,395 | 35395 | |
Lebesgue Integral
January 29th 2010, 06:37 AM
problem
Lebesgue Integral
Let $f \in L_p(X)$,1 $\le p < \infty$ and let $\epsilon > 0$. Show that there exists a set $E_\epsilon \subseteq X$ with $m(E_\epsilon) < \infty$ such that if $F \subseteq X$ and $F \cap E_\
epsilon = \phi$,then $\int_F |f|^p dm < \epsil... | 5 | [
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0.0341796875... | 35,396 | 35396 | |
D-8 ROTATIONAL INERTIA
1. PURPOSE:
(1) To demonstrate the application of energy and momentum principles to a rotating system.
(2) To measure the moment of inertia of various mass distributions by a dynamical method and to verify... | 4 | [
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0... | 35,397 | 35397 | |
Pseudo-Geometric Series
October 4th 2008, 05:59 PM #1
MHF Contributor
Joined
Apr 2008
Posts
1,092
Pseudo-Geometric Series
Find a way to obtain an explicit formula, in terms of r such that -1 < r < 1, for $\sum_{n=1} ^{\infty} n^pr^{n-1}$, for any positive integral choice of p.
Hello, icemanfan!
... | 5 | [
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0.04931640625,
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Function Machine
Date: 10/26/96 at 19:1:36
From: Brock Johnson
Subject: Domain of a Function
I am working on a chapter entitled "Functions and Limits." I know
that the set of all first members is the domain and the set of all
second members is the range. I don't understand how you find the
domain or range of a func... | 4 | [
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