content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
differentiability of functions
April 20th 2010, 02:03 AM #1
Newbie
Joined
Jan 2010
Posts
14
differentiability of functions
We had a problem in class today which read
f(x) = x^2 if xЭQ
f(x) = 0 otherwise.
We are studying differentiability, and my tutor said that this function was differentiabl... | 4 | [
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0.040771484375,
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0.06103515625,
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-0.0206298828125,
0.06884765625,
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0.1103515625,
-0.028564453125,
0.0242919921875,
0.1123046875,
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-0.0240478515625,
-0.0522... | 7,800 | 7800 | |
How many eggs?
May 14th 2009, 07:04 AM #1
A riddle wrapped in an enigma
Joined
Jan 2008
From
Big Stone Gap, Virginia
Posts
2,551
Thanks
12
Awards
1
How many eggs?
Once upon a time, and old lady went to sell her vast quantity of eggs at the local market.
When asked how many she had, she... | 5 | [
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0.0223388671875,
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-... | 7,801 | 7801 | |
Values that make a field (need answer checked)
December 2nd 2009, 10:32 AM
elninio
Values that make a field (need answer checked)
I just need my answer checked for this particular problem.
The question is:
"For which values of a=1,2,3,4 is $Z_5[x]/<x^2+a>$ a field? Show your work.
My answer:
We... | 4 | [
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0.04736328125,
-0.00787353515625,
-0... | 7,802 | 7802 | |
[SOLVED] Completing the Square
September 11th 2008, 05:23 PM #1
Member
Joined
Jun 2007
Posts
120
[SOLVED] Completing the Square
Solve by completing the square:
-x+3x^2=-5
I just can't seem to figure out how to get the answer after you've completed the square. FYI the answer is x=(1/6)+-[(sqrt59... | 4 | [
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0.00683593... | 7,803 | 7803 | |
find x,y,z
Last edited by CaptainBlack; June 25th 2007 at 03:11 AM.
CB's hint was not a typo. Let's try x = 4: $\frac{24}{5} - 4 = \frac{1}{y + \frac{1}{z + 1}}$ $\frac{5}{4} = y + \frac{1}{z + 1}$ $1 + \frac{1}{4} = y + \frac{1}{z + 1}$ Thus y = 1 and z = 3. Quite
clever really. Applying the same logic that gave Capt... | 4 | [
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... | 7,804 | 7804 | |
inequality:
April 5th 2010, 08:26 AM #1
Member
Joined
Dec 2009
Posts
83
inequality:
i need to show
$<br /> -1\leq \frac{-2b^2}{a^2+b^2}\leq0<br />$
now i have shown
$<br /> e^2=1+\frac{b^2}{a^2}\leq2<br />$
which gives me $b^2\leq a^2$
clearly the expression is $\leq 0$ so i need... | 4 | [
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0.046875,
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... | 7,805 | 7805 | |
find an upper/lower bound for the integral
August 27th 2006, 12:26 PM
FLTR
find an upper/lower bound for the integral
Hello, am a complete novice attempting an on-line course, can you show me how to work this problem? Thanks for your time.
Find an upper and lower bound for the integral $\int_{0}^{1}\frac{1}... | 5 | [
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-0.... | 7,806 | 7806 | |
Convex Hull
Convex Hull
From Algorithmist
Computing the convex hull in Computational Geometry is what Sorting in many problems - it is perhaps the most basic, elementary function on a set of points.
[edit] Definitions
A Convex Hull is the smallest convex polygon that contains every point of the set S. A polygon P ... | 4 | [
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-... | 7,807 | 7807 | |
Einstein's Special Theory of Relativity Quesion
October 26th 2006, 04:09 PM
killasnake
Einstein's Special Theory of Relativity Quesion
I have no idea how to start this problem, We barely learned alittle part of this in class today but the teacher just said read the book and it is easy to undertand. :rolleyes: I ... | 5 | [
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Related rates of change
May 11th 2010, 11:58 PM #1
Junior Member
Joined
Feb 2009
Posts
59
Related rates of change
The surface area of a cube is changing at the rate of 8 cm^2/s. How fast is the volume changing when the surface area is 60cm?
Hi scubasteve94,
if it is a regular cube, then
$s... | 5 | [
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3 intercepts between f(x) and inverse??
April 29th 2006, 05:18 PM
freswood
3 intercepts between f(x) and inverse??
Something I find really odd.... A question provides us with a square root function, and asks us to sketch it and its inverse. Strangely enough, f(x) and its inverse intersect not only along y=x
... | 4 | [
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Trig Problem, where am I going wrong?
October 2nd 2008, 03:04 PM #1
Newbie
Joined
Oct 2008
Posts
9
Trig Problem, where am I going wrong?
Hello everyone, I'm new to these forums. The long story short is I am trying to finish high school via correspondence, and I need to do two math courses, each containin... | 4 | [
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nvesting
by CI Staff
Liquidity ratios are used to determine a company’s ability to meet its short-term debt obligations. Investors often take a close look at liquidity ratios when performing fundamental analysis on a
firm. Since a company that is consistently having trouble meeting its short-term debt is at a higher r... | 4 | [
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triangle inscribed in a semicircle
Can someone tell me why a triangle inscribed in a semicircle is always a right triangle? I am in Trig currently and someone told me I had to use the laws of cosine. Which I am familiar with, I just
don't know how to prove it. Thank you
This is a special case of Inscribed and Central ... | 4 | [
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Continuous function
March 5th 2009, 12:58 AM
iLikeMaths
Continuous function
prove using the $\epsilon , \delta$ definition of continuity that $f(x) = x^3 - 2x^2 + 1$ is continuous at $x=3$
this is the start of my solution, however i need help complting it
$f(x) = x^3 -2x^2 +1$
$c=3$
$f(c)= 27-1... | 4 | [
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Plane type of question
April 8th 2009, 02:18 PM #1
Newbie
Joined
Mar 2009
Posts
11
Plane type of question
Hello, this question is from Grade 12 Calculus and Vectors book.
A pilot in an airplane with an airspeed of 1000 km/hr wishes to fly to a city 2000km due east. There is a wind blowing from beari... | 4 | [
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on
The experienced engine builder (Mopar, Harley-Davidson, or Ferrari) knows that the “advertised” compression ratio (suggested by the owner’s manual, piston manufacturer, &c.) is only one of several
factors involved in determining how much pressure is developed in the combustion chamber.
This article discusses briefl... | 4 | [
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Compaing the Rank of Matrices
April 1st 2011, 01:59 PM #1
Junior Member
Joined
Sep 2008
Posts
33
Compaing the Rank of Matrices
Hey guys,
Having a bit of trouble with: Prove that, for m x n matrices A and B:
$rank(A+B) \leq rank(A)+rank(B)$
Any help?
Peter
suppose rank(A) = r, and r... | 4 | [
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Unable to solve roots expression
June 13th 2009, 12:09 PM #16
ok all I can do is to give examples with little explanation
any number you can write it in power of 1
$x=x^{1}$
$y^2=(y^2)^{1}$
$\frac{1}{x^2}=\frac{1}{(x^2)^{1}}$ so if I would to move the denominator to the numerator you will have
... | 4 | [
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0.0096435... | 7,818 | 7818 | |
Math Forum Discussions
quasi
Posts: 10,208
Registered: 7/15/05
Re: Congruence involving binomial coefficients
Posted: Feb 25, 2013 6:49 AM
linux wrote:
>quasi wrote:
>>
>> --- (9) lemma
>>
>> If n is an odd positive integer such that q = (n-1)/2 is an
>> odd prime, then A(n,k) = 0 mod q for all even integers k
>> wit... | 5 | [
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Converting Floating Decimals to Other Bases
Date: 11/27/2003 at 09:46:06
From: Ferran
Subject: Floating Base Conversions
Hi, how can I convert between bases but preserve the decimal places?
For example:
123.5 (decimal) = 7B.8 (Hexadecimal)
123.5 (decimal) = 1111011.1 (Binary)
I got these results from a calculator.... | 5 | [
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Second Order Partial Derivatives in Calculus
Examples with detailed solutions on how to calculate second order partial derivatives are presented.
For a two variable function f(x , y), we can define 4 second order partial derivatives.
∂^2f / ∂x^2 = ∂(∂f / ∂x) / ∂x or f[xx]
∂^2f / ∂y^2 = ∂(∂f / ∂y) / ∂y or f[yy]
∂^2f... | 5 | [
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0.03662... | 7,821 | 7821 | |
Surds please help
October 13th 2008, 09:05 AM #1
Newbie
Joined
Oct 2008
Posts
2
HELP!! i need help with these
Q1 Show that:
Ö2+1
----- = 3 +2Ö2
Ö2-1
Q2
Ö5-1
----- = 3+Ö5
Ö5-2
Q3 express : in the form kÖ5
1 1
---- - ----
3Ö5 2Ö20
Multiply the first by ... | 4 | [
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complicated factoring problem
March 3rd 2009, 03:08 PM
oblixps
complicated factoring problem
how do you factor this polynomial?
x^(2k+1) - y^(2k+1)
my teacher's answer is:
[x^2 (x^(2k-1) + y^(2k-1))] + [(y^2 - x^2)y^(2k-1)]
what is the reasoning involved to factor something as complicated as t... | 4 | [
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outer automorphism
nLab
outer automorphism
Contents
Definition
For $G$ a group, the outer automorphism group $Out(G)$ is the quotient of the automorphism group by the normal subgroup of inner autormorphisms:
$Out(G) := Aut(G)/Inn(G) \,.$
Properties
As a truncation of the automorphism 2-group
Write
$AUT(G) := Au... | 4 | [
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-0.00... | 7,824 | 7824 | |
Need help getting started.. Abstract Algebra group problem
August 30th 2010, 10:13 AM #1
Newbie
Joined
May 2010
Posts
6
Need help getting started.. Abstract Algebra group problem
Let (G,*) be a group. Define a new binary operation • on G by setting a • b = b * a for all a,b in G. Prove that (G,•) is a gr... | 4 | [
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... | 7,825 | 7825 | |
Math Forum Discussions
Math Forum
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Unimodular Lie groups
Replies: 2 Last Post: Feb 16... | 4 | [
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-0.005584716796875,
-0.068359375,
0.038330078125,
... | 7,826 | 7826 | |
Please check, Matrix transformation
June 6th 2006, 03:04 AM #1
Junior Member
Joined
May 2006
Posts
31
Please check, Matrix transformation
A transformation f is a reflction in the line y = -x + 1
What I have done;
First I shifted the plane 1 unit down so that the line of reflection passes throu... | 4 | [
-0.111328125,
0.034423828125,
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-0.07666015625,
-0.0164794921875,
-0.061279296875,
-0.083... | 7,827 | 7827 | |
Proof or disproof the following
April 2nd 2011, 05:35 AM #1
Junior Member
Joined
Mar 2010
Posts
25
Proof or disproof the following
I have been asigned this problem in class.
$C\subseteq A \Rightarrow (A \cup B) \cap C \subseteq A$
Can you aid me in how should i start. I thought of puting it in ... | 4 | [
-0.00286865234375,
-0.00830078125,
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0.03662109375,
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0.05322265625,
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0.05859375,
0.0419921875,
0.0927734375,
0.053466796875,
-0.006500244140625,
-0.0167236... | 7,828 | 7828 | |
Find an approximate expression of a sum of a product using the average of each item
up vote 1 down vote favorite
Is it possible to find an approximate expression of $\frac{\sum_{i=1}^{n} k_i x_i}{\sum_{i=1}^{n} k_i}$ using $\langle k \rangle$, $\langle k^2 \rangle$, $\langle x \rangle$, and $n$? Alternatively
if it is... | 5 | [
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0.11669921875... | 7,829 | 7829 | |
Arithmetic series..... Log.. other problems..
May 19th 2010, 05:37 AM
ansonbound
Arithmetic series..... Log.. other problems..
An arithmetic series has five term a and common difference d.
The sum of the first 31 terms of the series is 310.
a) Show that a + 15d = 10
> S31 = 31/2 ( 2a + (31-1) d)
... | 4 | [
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0.036865234375,
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-0.0174560546875,
-0.0... | 7,830 | 7830 | |
2nd order DE
August 13th 2009, 02:53 PM #1
Junior Member
Joined
Aug 2009
Posts
69
2nd order DE
I have an equation y''+y=0 with y(0)=1 and y'(0)=0
It has general solution of y=Asin(x)+Bcos(x) ?
with condition gives 1 = 0 + B so B=1
If so y' = Acos(x)-sin(x)
with condition gives 0 = A -... | 4 | [
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Paradox in combinations?
November 11th 2009, 06:50 AM #1
Newbie
Joined
Nov 2009
Posts
3
Here's an innocent-looking question:
There are 4 girls and 7 boys. How many ways can we select a team of 5, such that at least 3 members are girls?
One way to solve this is to consider the cases when there ar... | 4 | [
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0.00408... | 7,832 | 7832 | |
differential equation
April 21st 2008, 05:56 PM
akhayoon
differential equation
$y\prime+\frac{2}{t}y=\frac{arctant}{t^{2}}$
here they want the y(t) equation
so first what I tried doing was integrating t/2
so I got the factor was $e^{lnt^{2}}$ which equals to 2
so now I have to integrate
... | 5 | [
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0.038818359375,
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-0.006103515625,
-0.063... | 7,833 | 7833 | |
Packing 4 Spheres Into a Tetrahedron
Date: 09/03/99 at 16:11:06
From: Daniel Lam
Subject: Packing 4 spheres into a tetrahedron
I have 4 spheres. I need to pack them as snugly as possible, and then
find the dimensions of the smallest tetrahedron that can serve as a
container for the spheres, so the spheres are in a t... | 5 | [
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0.0174560546875,
... | 7,834 | 7834 | |
Graph question :S
April 25th 2007, 06:37 AM
LoveDeathCab
Graph question :S
The question is:
9(i) Sketch, on a single diagram showing values of x from -180degs to +180degs, the graph of y=tanx and y= 4cos x.
The equation tan x = 4cos x
has two roots in the interval -180degs\< +\<180degs. These are d... | 4 | [
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-0... | 7,835 | 7835 | |
Uniform Convergence of Power Series
March 18th 2010, 12:44 PM #1
Member
Joined
Apr 2008
Posts
123
Uniform Convergence of Power Series
Suppose $\sum_{n=0}^{\infty} {a_n}x^n$ converges on $[-R, R]$ Suppose $\delta < R.$ Show that $\sum_{n=0}^{\infty} {a_n}x^n$ converges uniformly on $[-\delta, \delta]$.
... | 4 | [
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0.06640625,
-0.0717773437... | 7,836 | 7836 | |
Help with chain and quotient rule problem - unsure of one part
November 11th 2010, 12:05 AM #1
Junior Member
Joined
Sep 2010
Posts
32
Help with chain and quotient rule problem - unsure of one part
Hi everyone,
I've been working with the chain and quotient rules mingled together in order to solve a f... | 4 | [
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0.0380859375,
-0.0054016113281... | 7,837 | 7837 | |
Integrals
March 28th 2006, 06:05 AM #1
Newbie
Joined
Mar 2006
Posts
7
Integrals
I was told the best way to solve this problem dx/x^2-x with the limits b=3
and a=2, is to used parital fractions. I dont understand this. Please help.
The second problem is dx/x^2-4x+4 with the limits b=1 and a=-1.
... | 5 | [
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0.031494140625,
0.1... | 7,838 | 7838 | |
Eigenvalues of a 3 x 3 Matrix
November 22nd 2011, 06:26 AM #1
Newbie
Joined
Nov 2011
Posts
3
Eigenvalues of a 3 x 3 Matrix
I am trying to work out some Matrix questions in advance to my course start.
I am trying to find the eigenvalues for this 3 x 3 Matrix:
5 3 2
1 4 6
9 7 3
So fa... | 5 | [
-0.00162506103515625,
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0.044677734375,
-0.021606445... | 7,839 | 7839 | |
Square root of complex number
November 28th 2011, 09:56 AM
piglet
Square root of complex number
I'm at a loss how to go about solving equations like the one below, where there are j terms under the square root sign.
http://i43.tinypic.com/fx84yr.png
I've tried getting the complex conjugate of what's un... | 5 | [
-0.06640625,
0.02099609375,
0.07275390625,
0.078125,
-0.0296630859375,
-0.0174560546875,
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0.06689453125,
-0.0174560546875,
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0.03271484375,
0.022216796875,
0.002166748046875,
0.06591796875,
-0.05322265625,
0.05712890625,
-... | 7,840 | 7840 | |
Critical point question
March 12th 2010, 05:17 AM
anderson
Critical point question
hi everyone
having problems finding critical points for this two equation to fined the maximum,minimum or saddle points.
a) $x^4+y^4-4xy+1$
$f_x=4x^3-4y$, $f_y=4y^3-4x$
b) f(x,y)= $x^4-2x^2y+2y$
$f_x=4x^3-4x... | 4 | [
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0.015563964... | 7,841 | 7841 | |
Polynomial Equations help
Find the sum of the solutions of the equation (3x - 8/x)^2 - 7(3x - 8/x)^2 +10 = 0
Hi there sri340 Notice there are some like terms here $\left( 3x-\frac{8}{x}\right)^2-7\left( 3x-\frac{8}{x}\right)^2+10 = 0$ $-6\left( 3x-\frac{8}{x}\right)^2+10 = 0$ $6\left( 3x-\frac{8}{x}\right)^
2 = 10$ N... | 4 | [
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0.018310546875,
0.01519775390625,
0.0095214843... | 7,842 | 7842 | |
linear equations
September 23rd 2006, 05:29 PM #1
Junior Member
Joined
Sep 2006
Posts
38
linear equations
can anyone explain how to slove this? there's 3 equations and 3 variables, but only 2 variables in each equation
2a-5c=-18
7b-8c=-65
3a-2b=2
you have: 2a-5c=-18
then: 2a=5c-18
... | 4 | [
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0.0517578125,
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-0.0033264160156... | 7,843 | 7843 | |
[SOLVED] Triangle Question!
March 11th 2009, 12:27 PM
demo1
[SOLVED] Triangle Question!
Hi, I'm a little wary regarding this problem. I'm pretty sure I'm doing it right but would appreciate it if someone verified my solution. The question is:
The perimeter of a right triangle is 60 cm. The length of the hyp... | 4 | [
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0.006744384765625,
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0.051513671875,
-0.0634765625,
-0.024169921... | 7,844 | 7844 | |
Simplifying equations
January 19th 2010, 09:45 PM #1
Member
Joined
Dec 2009
Posts
122
Simplifying equations
I have two equations that I am trying to simplify, please help! 1) y^2 - 6y + 9/ -(y +2 - 4) divided by y^2 - 9 / y^2 - 8y + 12 = ??? 2) 12a^2 + 26a 12 / 6 - 5a - 6a^2 = ? (I've come up with 2
... | 4 | [
-0.0400390625,
0.01397705078125,
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0.034423828125,
0.031494140625,
0.068359375,
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0.0419921875,
0.00008106231689453125,
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0.051025390625,
0.00640869140625,
0.07470703125,
-0.053955078125,
0.017... | 7,845 | 7845 | |
Recounting the Rationals, part IVb: the Euclidean Algorithm
Suppose we have two integers, and we’d like to find their greatest common divisor (GCD). Recall that the greatest common divisor of two integers m and n is exactly that: the greatest integer which is
a divisor of both m and n. The obvious way to do this—which... | 4 | [
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0.0264892578125,
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0.103515625,
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0.043701171875,
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0.0791015625,
0.0244140625,
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-0.0087890625,
-0.030029296875,... | 7,846 | 7846 | |
Calc Word Problem. Please Help!!!
November 19th 2012, 08:07 PM #16
Re: Calc Word Problem. Please Help!!!
No, you need to divide by $12^3$...essentially a 12 for each of the 3 spatial dimensions.
$7128\text{ in}^3\cdot\left(\frac{1\text{ ft}}{12\text{ in}} \right)^3=\frac{7128}{12^3}\,\text{ft}^3=156.75 \text... | 5 | [
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0.01324462890625,
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0.031494140625,
0.00128936767578125,
0.0228271484375,
0.043701171875,
-0.030639648... | 7,847 | 7847 | |
Time Value of Money
Date: 03/20/2002 at 00:12:02
From: Daniel Wagner
Subject: Time Value of Money
Dear Dr. Math,
My Dad sent me this math problom two weeks ago and I was not able to
figure it out. He told me to get some help, but no one I called or
sent it to can help. I called two engineers, one insurance company ... | 5 | [
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-0.00396728515625,
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0.01904296875,
-0.032470703... | 7,848 | 7848 | |
Monkeys, Coconuts, and Seven Piles
Date: 11/29/2001 at 12:13:07
From: mike
Subject: lots of equations, lots of unknowns...
I've tried to work this problem lots of ways, but it has so many
equations that I'm never sure if I'm getting it right.
Seven monkeys spend the day gathering coconuts. As night falls, they
gath... | 5 | [
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0.0244140625,
0.0654296875,
0.0625,
0.06298828125,
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0.046142578125,
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0.032470703125,
... | 7,849 | 7849 | |
RP^n, S^1 and homotopies...
October 26th 2008, 11:09 AM #1
Newbie
Joined
Oct 2008
From
Poland
Posts
9
RP^n, S^1 and homotopies...
Hi,
I'm taking first steps in algebraic topology and I became stuck at the problem:
"Prove that any map of the real projective space RP^n for n>=2 to S^1 is null h... | 4 | [
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0.0299072265625,
0.00848388671875,
... | 7,850 | 7850 | |
not sure why this is smooth
October 11th 2011, 09:17 AM #1
not sure why this is smooth
Define $g: V \rightarrow \mathbb{R}$ smooth where $V \subseteq \mathbb{R}^n$ is open. Then define a map, for a fixed $x \in V$
$h_i(x) = \int_0^1 \frac{\partial g}{\partial x_i}(tx) dt$
(we may assume tx is in V)
... | 4 | [
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0.018798828125,
-0.... | 7,851 | 7851 | |
the positive root
July 18th 2008, 10:44 AM #1
Member
Joined
Nov 2006
Posts
152
the positive root
Prove that the positive root of
x(x + 1)(x + 2) · · · (x + 1981) = 1
is less than 1/1981!
Let $f(x)=x(x+1)(x+2)\ldots (x+1981)-1$
$f(0)=-1$
$f\left(\frac{1}{1981}\right)=\frac{1}{198... | 5 | [
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0.0220947265625,
0.013... | 7,852 | 7852 | |
Application of Lagrange Mechanics for Analysis of the Light-Like Particle Motion in Pseudo-Riemann Space
Wladimir Belayev
Center for Relativity and Astrophysics, 185 Box, 194358, Saint-Petersburg, Russia
Correspondence to: Wladimir Belayev, Center for Relativity and Astrophysics, 185 Box, 194358, Saint-Petersburg, Ru... | 4 | [
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0.0020751953125,
0.0130615234375,
-0.01171875,
-0.01263427734375,
0.049560546875,
... | 7,853 | 7853 | |
no
Noise
In any communication system, the received signal will consist of the transmitted signal, attenuated as it has propagated along the transmission media and suffering from some distortion due to the
characteristics of the system. In addition, unwanted signals (or noise) may occur between the transmitter and the ... | 4 | [
0.02685546875,
-0.0186767578125,
-0.003509521484375,
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0.08935546875,
-0.046875,
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-0.036376953125,
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0.1552734375,
... | 7,854 | 7854 | |
Trigo Help!!!
September 4th 2006, 03:48 AM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
Trigo Help!!!
1.) Prove 6sin4xcos4x = 3sin8x
2.) Derive sin( u + v) = sinucosv + cosusinv from the identity
cos(u+v) =cosucosv - sinusinv
^_^Engineer_Adam^_^
1.) Prove 6sin4xcos4x ... | 4 | [
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0.0... | 7,855 | 7855 | |
Math Help
January 15th 2007, 10:51 PM #1
Senior Member
Joined
Jan 2007
Posts
477
infinit series
find the sum of the infinit series, if the it converges.
infinity ((-1)^n-1(6n)) / (e^2n)
E
n = 1
I'm confused because of the natural log in the denominator.
does it converge or diverge?... | 5 | [
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0.0595703125,
0.03125,
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0.0303955078125,
-0.078125,
-0.09228515625,
0.001373291015625,
-0.12988281... | 7,856 | 7856 | |
please help me with this integral
September 24th 2009, 09:31 AM
lillye
please help me with this integral
i need help solving the integral x^3 sqrt[4x^2-x^4] dx with limits from 0 to 2...should i use a trig substitution formula to solve? the cosine formula? i'm a bit confused. how would i do that
exactly?
Se... | 5 | [
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0.034423828125,
-... | 7,857 | 7857 | |
Geometric and Arithmetic Means
Date: 5/10/96 at 13:7:36
From: Sid Himes
Subject: Geometric and Arithmetic Means
Dear Dr. Math,
My son is a junior at Harborcreek High School in Erie, PA. The
following problem was part of a homework assignment (that has already
been turned in). The textbook did not supply any soluti... | 4 | [
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0.022216796875,
0.0615234375,
-0.1005859375,
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-... | 7,858 | 7858 | |
Flatness of normalization
up vote 10 down vote favorite
5
Let $X$ be a noetherian integral scheme and let $f \colon X' \to X$ be the normalization morphism. It is known that, if non trivial, $f$ is never flat (see Liu, example 4.3.5).
What happens if we suppose $X$ normal, and we take the normalization in a finite (s... | 5 | [
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0.0289306640625,
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0.039306640625,
-0.042236328125,
0.0349121... | 7,859 | 7859 | |
Algebra 2 problems.
July 29th 2009, 10:25 AM
garbles
Algebra 2 problems.
Solve each equation.
1. x - 1 = √(x+2) + 3
2. 2x^2 - 6x + 5 = 0
I'm not sure how to do these?
July 29th 2009, 10:44 AM
earboth
Quote:
The 2nd equation is a quadratic. Use the formula to solve it.
$x - 1 =... | 4 | [
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-0.0281982421875,
-0.0170... | 7,860 | 7860 | |
Directional Derivative and Gradient Help
October 10th 2009, 01:35 PM #1
Junior Member
Joined
Aug 2009
Posts
71
Directional Derivative and Gradient Help
I am having some difficulty with the following problems:
1. For the function
$f(x,y)=\left\{\begin{array}{cc}\frac{x|y|}{\sqrt(x ^2+y^2)},&\mbox{... | 5 | [
0.028076171875,
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0.046875,
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0.07177734375,
-0.0693359375,
0.05419921875,
0.004486083984375,
0.06494140625,
-0.032470703125,
-0.06884765625,
... | 7,861 | 7861 | |
Newbie: Probability density function ???
March 5th 2013, 04:42 AM
luckyali
Newbie: Probability density function ???
Hi Every, Its my 1st post on this forum and would like to know some basics of Stochastic Process. One of which is Probability density function (PDF).
1. what is a PDF and what information can ... | 4 | [
-0.0284423828125,
0.00775146484375,
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0.020263671875,
0.026611328125,
0.00518798828125,
-0.059814453125,
-0.05688476562... | 7,862 | 7862 | |
Binomial Coefficients
July 23rd 2007, 07:29 AM #1
Member
Joined
Jun 2007
Posts
77
Binomial Coefficients
Show that if p is a prime and k is an integer such that $1 \leq k \leq p-1$, then p divides $\binom p k$
Here's the basic idea. You can put this more exact language as you please.
$\binom p k ... | 4 | [
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-0.0296630859375,
0.0... | 7,863 | 7863 | |
exsistance of inverse?
October 3rd 2010, 09:22 PM #1
Member
Joined
Oct 2009
Posts
128
exsistance of inverse?
hello!
I am trying to work this out, not sure where to start even though the theorem appears intuitive! I thought I had proven it but then realised I has assumed the existance of an inverse!
... | 5 | [
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-0.035400390625,
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0.01251220703125,
0.02978515625,
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-0.0203857421875,
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0.0113525390625,
0.01177978515625,
-0.01574707... | 7,864 | 7864 | |
Deriving Properties of Fractions
Date: 08/10/2003 at 17:02:28
From: Andrew
Subject: Deriving properties of fractions
I am wondering how to derive the rule for multiplying fractions,
namely that a/b x c/d = ac/bd, using lower-level properties of
multiplication and rational numbers.
I find myself going in circles. For... | 4 | [
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0.0281982421875,
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-0.037109375,
0.0439453125,
-0.029052734375,... | 7,865 | 7865 | |
Integration applied to Physics problem
June 3rd 2008, 04:06 PM
greentea425
Integration applied to Physics problem
Ok, here's the problem: "A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (iIn other words, the tank is not standing vertically
... | 5 | [
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0.040283203125... | 7,866 | 7866 | |
another question
September 19th 2009, 10:39 PM #1
Member
Joined
Sep 2009
Posts
129
another question
Can you conclude that A = B if A and B are two sets with the same power set?
I think it cannot conclude that A = B because the same power set does not mean that they have the same set or same order. A... | 4 | [
-0.0546875,
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0.... | 7,867 | 7867 | |
Notable Properties of Specific Numbers
Notable Properties of Specific Numbers
First page . . . Back to page 2 . . . Forward to page 4 . . . Last page (page 25)
See 1.389910....
See also 3.732050....
Another number with zillions of properties: the smallest ... | 5 | [
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0.023193359375,
-0.07373046875,
-0.0... | 7,868 | 7868 | |
General Solution
August 13th 2008, 10:06 PM #1
Newbie
Joined
Aug 2008
Posts
7
General Solution
Can someone help me with this equation please?
Find the general solution to : cos(5x) = sin(4x)
I had it for a test today and just want to know the answer coz I had no idea what to do
I started off ... | 4 | [
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0.109375,
0.0458984375,
-0.006622314453125,
0.0177001953125,
0.009521484375,
-0.... | 7,869 | 7869 | |
grouped probabilities
December 19th 2012, 04:53 PM
lhurlbert
grouped probabilities
Probability question combinatorial mathematics?
Eight different book, three in physics and five in electrical engineering, are placed at random on a library shelf. What is the probability that the three physics books are all ... | 4 | [
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0.035400390625,
-0.150390625,
-0.09814453125... | 7,870 | 7870 | |
Behaviour of power series on their circle of convergence
up vote 27 down vote favorite
11
I asked myself the following question while preparing a course on power series for 2nd year students. Let F be the set of power series with convergence radius equal to 1. What subsets S of the unit
circle C can be realised as S:=... | 4 | [
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0.02075195312... | 7,871 | 7871 | |
Polynomial ladders vs Horner's Scheme
August 31st 2009, 05:02 AM #1
Member
Joined
Jun 2008
Posts
148
Polynomial ladders vs Horner's Scheme
Thought I'd throw this out there, in case anyone wanted to try their hand on it.
Suppose one wished to evaluate the polynomial $P(x) = x^8 - 340x^6 + 34998x^4 - ... | 4 | [
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... | 7,872 | 7872 | |
About lottery
July 16th 2010, 07:58 AM
Crookshanks
About lottery
Hey, I was just wondering if there is way to tell how many times person needs to do lottery in order to have 50% chance to actually win the big prize. We use 39 numbers and must pick 7 of them.
Chances to win are 1/15380397 and I calculated tha... | 5 | [
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0.0037994384765625,
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-0.0002384185791015625,
0.04248046875,
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-0.083984375,... | 7,873 | 7873 | |
Trigonometry and Telescopes
Date: 12/15/2001 at 15:27:02
From: Maitri
Subject: Trigonometry and Telescopes
How is trigonometry related to how reflector and refractor telescopes
work?
I think that it might be that the farther you move the lens or mirror
from the eyepiece, the smaller the image is magnified. But I do... | 4 | [
-0.014404296875,
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-0.000453948974609375,
-0.05029296875,... | 7,874 | 7874 | |
Math Help
January 10th 2011, 12:14 PM #1
Newbie
Joined
Jan 2011
From
Brno
Posts
4
Sequence
For an increasing sequence of natural numbers $a_1,\ a_2,\ a_3,\ \ldots$ it holds that $a_{(a_k)}=3k$, where $k$ is also natural number.
Find out value of $a_{100}$ and $a_{2010}$.
I've really no idea... | 4 | [
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0.02490234375,
-0.005279541015625,
-0.08740234375,
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-0.0673828125,
0.053... | 7,875 | 7875 | |
Where did I go wrong in solving this trigonometry equation?
April 12th 2009, 10:02 PM #1
Junior Member
Joined
Mar 2009
Posts
33
Where did I go wrong in solving this trigonometry equation?
1 + sec Θ = tan Θ (all solutions on [0,2pi))
1 + sec Θ = sin/cos Θ (tan is the same as sin/cos)
cos Θ + 1 =... | 4 | [
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-0.03955078125,
0.0129... | 7,876 | 7876 | |
What method to solve this difference equation?
December 23rd 2012, 07:45 AM #1
What method to solve this difference equation?
Hi
Could someone shed some light, on how I would solve the following difference equation?
$u_{n}=\frac{5}{n}u_{n-1} + \frac{5^{n}}{n!}, u_{0}=2$
Would I use the divide and ... | 5 | [
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Using a Graphing calculator to verify Trig Eqautions in radian mode
April 20th 2011, 12:45 AM
MajorJohnson
Using a Graphing calculator to verify Trig Eqautions in radian mode
Okay so in one of my previous posts I had to solve Trig. Equations between [0,2PI), to get all solutions and giving exact answers. Another... | 4 | [
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-0.000467300415039... | 7,878 | 7878 | |
Sequence convergence
October 5th 2009, 12:54 PM
spikedpunch
Sequence convergence
Not sure how to go about this one.
If pn is a non-decreasing sequence and there is a point, p, to the right of each point of the sequence, then the sequence converges to some point.
October 5th 2009, 01:04 PM
Plato
Quot... | 4 | [
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... | 7,879 | 7879 | |
Finding the area of the shaded figure
If your drawing is accurate, no. On the other hand, if the first is a circle inside an 8x8 square, yes. That's 64 - area of circle with radius 4 (area = pi(r^2)). or 64-(16)pi. The next figure, see
reply from earboth before I lead you astray. Bye.
Last edited by Bradley; May 20th ... | 4 | [
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-... | 7,880 | 7880 | |
Uniqueness of Ideals
Uniqueness of Ideals
Date: 09/23/2003 at 15:20:29
From: Coralie
Subject: Modern algebra
How can I prove that in Mn(Q) (the ring of n*n matrices over the
rational numbers Q), (0) and Mn(Q) are the only ideals?
I have trouble seing exactly what is an ideal. I know the
definition, but it's not rea... | 5 | [
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0.00799560546875,
-0.06494140625,
-0.0014190673828125,
0.020751953125,
0.115234375,
-0.01544189453125,
-0.0634765625,
0.0810546875,
0.005157470703125,
-0... | 7,881 | 7881 | |
volume of parametric equation
April 21st 2010, 03:19 PM #1
Senior Member
Joined
Apr 2009
Posts
253
volume of parametric equation
Find the volume of the solid formed when one arch of the cycloid defined parametrically by $x=\theta-sin(\theta)$ and $y=1-cos(\theta)$ is rotated about the x-axis.
What I... | 5 | [
-0.0966796875,
-0.006011962890625,
-0.07763671875,
-0.05078125,
-0.0146484375,
-0.08984375,
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0.0267333984375,
0.010009765625,
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-0.02587890625,
0.08056640625,
0.134765625,
0.041748046875,
-0.028076171875,
-0.034423828125,
0.00349426269... | 7,882 | 7882 | |
Second Order DE (non homogenous)
August 13th 2010, 03:36 AM #1
Junior Member
Joined
Aug 2010
Posts
53
Second Order DE (non homogenous)
Hello!
I having problems getting started with this problem:
Using subn $t = e^x$ and $z(t) = y(x)$ rewrite:
$\frac{d^2y}{dx^2} - \frac {dy}{dx} + e^{2x}y =... | 5 | [
-0.0732421875,
0.046142578125,
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0.0234375,
0.017333984375,
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0.006866455078125,
0.0117797851562... | 7,883 | 7883 | |
differentiation question!
September 6th 2008, 01:46 AM #1
Super Member
Joined
Oct 2007
From
Santiago
Posts
517
differentiation question!
$<br /> <br /> f(x) = x\sqrt{x^2+1}<br /> <br />$
what i have so far is, leaving the x on the left aside for abit.
$<br /> <br /> f(x) = \sqrt{x^2+1} = (x... | 4 | [
0.0031890869140625,
-0.04296875,
0.07861328125,
0.028076171875,
-0.01080322265625,
-0.035888671875,
-0.07177734375,
0.062255859375,
0.0281982421875,
0.029541015625,
0.0771484375,
-0.041015625,
0.05712890625,
0.0458984375,
-0.07373046875,
0.0341796875,
-0.00799560546875,
-0.04589843... | 7,884 | 7884 | |
equasion os a circle given 3 points
May 21st 2008, 02:58 AM #1
Newbie
Joined
May 2008
Posts
1
hi all
for any 3 points in 3d space. (x1,y1,z1) etc there is a unique circle that can be drawn throught then. I have spent many hours trying to derive the equasion of that circle so that I can then find
t... | 5 | [
-0.037353515625,
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0.035888671875,
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0.049560546875,
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0.000186920166015625,
-0.026611328125,
0.04541015625,
0.0201416015625,
-0.005523681640625,
-0.01434326171875,
-0.08251953125,
0.... | 7,885 | 7885 | |
[SOLVED] How many people standing in line?
October 3rd 2008, 03:20 AM
fabxx
[SOLVED] How many people standing in line?
hey guys, this is on the OG Book section 6 #18
A group of people were standing single file in a line to buy movie tickets. As Juan stood in the line, he noticed that there were 9 more people... | 4 | [
-0.013916015625,
0.03466796875,
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0.041748046875,
0.08349609375,
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0.061767578125,
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0.0478515625,
-0.0732421875,
-0.0233154296875,
-0.080078125,
-0.0908203125,
-0.0... | 7,886 | 7886 | |
Multiplying Polynomials using Area Models - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Multiplying Polynomials using Area Models - Concept 23,141 views
Long division can be used to divide a polynomial by another polynomial, in this case a binomi... | 4 | [
0.0240478515625,
-0.0303955078125,
-0.0054931640625,
0.06884765625,
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0.0478515625,
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0.0390625,
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0.05859375,
0.04833984375,
-0.003570556640625,
0.0537109375,
-0.033203125,
0.09033203125,
-0... | 7,887 | 7887 | |
Distance from a point to a line
June 12th 2013, 04:21 AM
dumbblonde
Distance from a point to a line
Use the distance from a point to a line formula to check the distance from P(7, -4) to 3x - y =5
okay the slope of the line is -3/1, which is perpendicular to 1/3
so the equation i think is y+4/x-7
w... | 4 | [
-0.150390625,
0.009033203125,
-0.0103759765625,
-0.08740234375,
-0.03857421875,
0.10498046875,
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0.022216796875,
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0.06494140625,
0.0908203125,
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0.035400390625,
0.0673828125,
-0.07421875,
0.0703125,
-0.0810546875,
-0.038818359375,
-0.01... | 7,888 | 7888 | |
Why can't I divide 2 to the other side in y+1=2square root/y+1?
August 13th 2012, 05:59 PM
EJdive43
Why can't I divide 2 to the other side in y+1=2square root/y+1?
Why can't I divide 2 to the other side in y+1=2square root/y+1? I would like to get rid of the square root in y+1 by squaring it, but my answer sheet... | 4 | [
-0.078125,
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0.0419921875,
0.047119140625,
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0.02734375,
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0.0751953125,
0.0003814697265625,
0.007568359375,
-0.0947265625,
0.0306396484375,
0.0... | 7,889 | 7889 | |
Fermat Number Proof
Date: 01/30/2001 at 00:26:36
From: Robyn
Subject: Fermat numbers
Dr. Math,
Two questions:
1) Prove that if n > 0, then the Fermat number 2^2^n + 1 is of the
form 9k-1 or 9k-4.
2) Prove that n and 2^2^n + 1 are relatively prime for every n > 0.
Answers would be appreciated!
Robyn
Date: 01/3... | 5 | [
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0.0213623046875,
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-0.04833984375,
-0.0947265625,
-0.0456542968... | 7,890 | 7890 | |
primes and polynomials
April 1st 2010, 05:47 PM #1
Senior Member
Joined
Jan 2009
Posts
296
primes and polynomials
Let p be a fixed prime and let J be the set of polynomials in Z[x] whose constant terms are divisible by p. Is J a maximal ideal in Z[x]? Prove or disprove.
I think it is, but not sure h... | 5 | [
-0.029296875,
0.06201171875,
0.02783203125,
0.06396484375,
0.026611328125,
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0.05859375,
0.04638671875,
-0.007... | 7,891 | 7891 | |
Please Help with an integration Q
February 20th 2013, 05:01 AM
James7361539
Please Help with an integration Q
Hey I'm stuck on this Q and I would be grateful for any replies.
I have tried twice to write the problem in latex but unfortunately I am not proficient enough in it.
I have attached the Q NB it... | 5 | [
0.0093994140625,
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0.06640625,
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0.01422119140625,
0.004638671875,
-0.0... | 7,892 | 7892 | |
Limits involving a hybrid function.
September 27th 2010, 11:37 PM #1
Junior Member
Joined
Sep 2010
Posts
59
I also have a bit more to ask, I apologize. These two other problems are not from my homework, but they are supplement problems from an online practice test from the same website that gives me
h... | 4 | [
-0.055419921875,
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0.02685546875,
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-0.002532958984375,
0.04150390625,
0.0096435546875,
-0.04052734375,
-0.044189453125,
0.0361328125,
0.00311279296875,
-0.0255126953125... | 7,893 | 7893 | |
Are undecidable consequences of Con recursively enumerable?
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $X\subset\Pi_1^0$ be the set of statements which are provable in PA$+$Con(PA) but independent of PA. Is $X$ re... | 5 | [
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-0.00927734375,
0.00653076171875,
-0.01385498046875,
0.00537109375,
-0.0094604492187... | 7,894 | 7894 | |
Math Help
May 6th 2007, 02:46 PM #1
Member
Joined
May 2007
Posts
150
Rhombus
The diagonals of a rhombus ABCD meet at M. Angle DAB is 60 degress. P is the midpoint of AD. G is the intersection of PC and MD. AP = 8.
Find MD MC MG CG and GP
so far i got
Md - 13.86
MC - 8
MG 4.62
... | 4 | [
-0.049560546875,
0.1474609375,
0.01104736328125,
-0.05419921875,
-0.0186767578125,
0.007659912109375,
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0.1005859375,
-0.048095703125,
0.0029296875,
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-0.020263671875,
0.005462646484375,
0.0267333984375,
-0.06005859375,
0.... | 7,895 | 7895 | |
Exponential notation
Powers, with a base of 2
Material Description:
Box for Powers of two:
• cubes and prisms
• coloured yellow, white, green
(small 1cm cubes for the follow up work)
blank tickets
pencil, paper
prepared tickets for follow-up work
Method:
Pay with a like!
Montessori Commons is free, and al... | 4 | [
-0.0576171875,
0.080078125,
-0.051513671875,
0.050048828125,
-0.0712890625,
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0.00823974609375,
0.05078125,
0.054443359375,
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0.060302734375,
0.026123046875,
0.022216796875,
0.0693359375,
-0.072265625,
0.06494140625,
-0.... | 7,896 | 7896 | |
Proof of Convergence
Date: 09/29/2000 at 08:42:45
From: Marc Decroos
Subject: Golden Section and Fibonacci
The Dr. Math FAQ illustrates how the Fibonacci rectangles are converge
toward the Golden Section.
Golden Ratio, Fibonacci Sequence
http://mathforum.org/dr.math/faq/faq.golden.ratio.html
But that page does... | 5 | [
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0.07763671875,
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... | 7,897 | 7897 | |
Grouping Common Factors
Hello, $(y^2+2y)^5 4(y-1)^3=[2(y^2+2y)^4 (y-1)^3] [2(y^2+2y)]$ $(y-1)^4 5(y^2+2y)^4(2y+2)=2(y-1)^4 5(y^2+2y)^4(y+1)$$= [2(y^2+2y)^4 (y-1)^3][5(y-1)(y+1)]$ And you factorize
Do you mind showing it step by step, because I still can't grasp it.
$(y^2+2y)^5 4(y-1)^3 = 2 \times 2 (y^2+2y)^4 (y^2+2y... | 4 | [
0.03564453125,
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0.05029296875,
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0.08837890625,
-0.09521484375,
0.04956054... | 7,898 | 7898 | |
Digital Logic Design
If two BCD digits are added then their sum result will not always be in BCD.
Consider the two given examples.
In the first example, result is in BCD while in the second example it is not in BCD.
Four bits are needed to represent all BCD digits (0 – 9). But with four bits we can represent up to ... | 4 | [
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-0.0400390625,
0.08... | 7,899 | 7899 |