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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13242 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 18 Aug 2018, 11:36
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13244 | # Does proper map $f$ take discrete sets to discrete sets?
Suppose $f:X \to Y$ is a continuous proper map between locally compact Hausdorff spaces. Are the following results true?
$1$. The map $f$ takes discrete sets to discrete sets.
$2$. If $f$ is injective, then $f$ must be a homeomorphism onto its image.
Edit1:... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13245 | # All Questions
85 views
### Find limit of the following sequence?
Find the limit of $\frac{\log(n+1)}{\log(n)}$ where $n\rightarrow\infty$. Here $n$ is a natural number so I guess we can't use L'Hopital
17 views
### Direct Limit of finitely generated groups
Is every group the direct limit of its finitely generate... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13246 | # God, I hate Number Theory Proofs
1. Oct 2, 2005
### Shinjo
I really really hate proofs!
I've done 3 of my 5 problems, which took me 2 days and over 30-50 pieces of scrap paper. I'm serious, I didn't even eat dinner today because I spent straight hours just staring at questions, thinking I was coming close to solu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13247 | # Supremum of Real Numbers [closed]
Let $A$ be any non-empty subset of $\mathbb{R}$. Then $s = \text{sup}A$ iff $s$ has the following properties:
(1) $s ≥ a$ for every $a \in A$
(2) If $t < s$, then there exists an $a \in A$ such that $a > t$.
-
What is the question? – Michael Greinecker Sep 30 '12 at 18:48
up vot... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13243 | # Homework Help: Converging series
1. Dec 10, 2008
hi :)
Quick questions:
How can I write a series converging into the limit of pai ?
Prove that the limit of the series zz (n+2) / (2n² +1) zz is not 1/2 when n->infinity (and bigger than 1)
I came to the equation:
zz |(-2n² + 2n +3) / (2n² +1) | >= ε zz
(*)And I m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13238 | # Differential Equations (particular solutions)
#### Fernando Revilla
##### Well-known member
MHB Math Helper
I quote a question from Yahoo! Answers
Differential Equations help: Given Y'' + 16Y = f(x)?
1. If f(x) = 2x^2*e^(3x), give the form of Yp.
2. If f(x) = cos(2x) ,give the form of Yp.
3. If f(x) = 5x*cos(3x), ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7296 | 0
744
# CAT Questions on Geometric Progression Set-2 PDF:
Download CAT Questions on Geometric Progression Set-2 PDF. Practice important CAT Questions on Geometric Progression Questions with detailed answers and explanations. These questions are based on previous CAT question papers.
Question 1: In a Geometric Progre... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7297 | User ben krause - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T03:47:36Z http://mathoverflow.net/feeds/user/11057 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/52902/proving-theorems-by-using-functions-with-fixed-points/52987#52987 Answer by Ben Krause fo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7300 | # Combinatorics: Selecting non-adjacent subsets or objects arranged in a circle
Lets say you have a circular table that seats $n$ people and $b\lt n -1$ identitcal boys. If you were to divide the boys into $k$ teams of size $\geq 1$, how many ways are there to seat the boys so that the teams sit together and have at l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7301 | The average speed of a bus is 8 times the average speed of a bike. The bike covers a distance of 186 km in 3 h. H
# Ask a Question
### Question Asked by a Student from EXXAMM.com Team
Q 2213134940. The average speed of a bus is 8 times the average speed of a
bike. The bike covers a distance of 186 km in 3 h. How... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7302 | # 5.1 – Polynomial Basics
Key Terms
• Power – A small raised number that tells you how many times to multiply the base number by itself.
• It is also called an exponent.
• Ex. $2^5=2 \cdot 2\cdot 2\cdot 2\cdot 2$
• Degree is the exponent value
• Highest degree is the highest value of all of the exponents in the polyn... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7303 | # Roots
Algebra Level 1
If $$r$$ is a number such that $${ r }^{ 2 }-6r+5=0$$, what is the value of $${ \left( r-3 \right) }^{ 2 }$$ ?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7304 | Sorry, you do not have a permission to add a post.
Please briefly explain why you feel this question should be reported.
# What is the additive inverse of 4 by 7?
What is the additive inverse of 4 by 7? The additive inverse of 4/7 is -4/7. Hence, the additive inverse of 4/7 is -4/7.
## What is the opposite of the a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7305 | ## anonymous one year ago Hi, this is my moms account I need help with a question I will fan and do a testimonial and best response if you help
1. anonymous
In triangle DEF measurement angle D=45 degrees meausrement angle E=63 degrees and EF= 24 inches. What is DE to the nearest tenth of a inch
2. anonymous
there i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7306 | # Show that $\Gamma$ is $\kappa$-categorical for $\kappa>\aleph_{0}$ , but not $\aleph_{0}$-categorical.
Let $\mathcal L=\{c_{i}:i<\omega\}$ be a language in first order logic, and:
$\Gamma =\{\forall x(x=x),\forall x\forall y(x=y\rightarrow y=x),\forall x\forall y\forall z(x=y\wedge y=z\rightarrow z=y)\}\cup\{c_{i}\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7307 | ### Two-Channel Case
The simplest nontrivial case is channels. Starting with a general linear time-invariant filter
(12.6)
we may separate the even- and odd-indexed terms to get
(12.7)
We define the polyphase component filters as follows:
and are the polyphase components of the polyphase decomposition of for . ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7308 | Section Content
At the end of this section, students should be able to:
• express a vector in the form $$\begin{pmatrix} x\\y \\z \end{pmatrix}$$ or $$xi+yj+zk$$ where $$i, j$$ and $$k$$ are unit vectors in the direction of $$x-, y-$$ and $$z-$$ axis respectively;
• define equality of two vectors;
• find the equation... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7309 | Why is not possible to draw this triangle?
Why is it not possible to draw triangle $DEF$ with $EF=5.5cm$,$\angle E=75^0$ and $DE-DF=1.5cm$?(I used this method for consruction-http://gradestack.com/CBSE-Class-9th-Complete/Construction/Construction-of-a/14905-2953-4044-study-wtw)
I could see it follows all triangles in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7310 | ## De Brogile Sapling HW Problem help
$c=\lambda v$
Heather Szeszulski 1I
Posts: 59
Joined: Wed Sep 30, 2020 9:55 pm
### De Brogile Sapling HW Problem help
The average speed of a diatomic nitrogen molecule at 25 ∘C is 515.2 m⋅s−1 . What is the average wavelength of a nitrogen molecule at this temperature? Assume th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7311 | # How do you do simplify sin(cos^(-1)(1/5))?
Nov 17, 2015
$\sin \left({\cos}^{- 1} \left(\frac{1}{5}\right)\right) = \frac{2 \sqrt{6}}{5}$
#### Explanation:
Consider a right angled triangle with hypotenuse $5$ and one leg $1$. Then the other leg will have length $\sqrt{{5}^{2} - {1}^{2}} = \sqrt{24} = 2 \sqrt{6}$.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7299 | # Ampere's Law Formula
Ampere’s law came to existence in 1826. The law talks about the sum of the magnetic field across a closed hoop which is carrying current. Ampere’s law can be useful when measuring high
degree of symmetry for magnetic fields with current distributions.
## Ampere’s Law Formula
$$\begin{array}{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7298 | # Prove $\left\vert \sum_{n=1}^N \frac{\mu(n)}{n} \right\vert \leqslant 1,$ where $\mu(n)$ is the Mobius function.
Given a positive integer $N$, show that $$\left\vert \sum_{n=1}^N \frac{\mu(n)}{n} \right\vert \leqslant 1,$$ where $\mu(n)$ is the Mobius function.
How do I approach this question? I guess a particular ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15328 | # How do you solve the system by substitution x – 4y = –19 and –4x – 5y = 13?
Apr 18, 2017
y=3
#### Explanation:
You can get "x" by itself in the first equation by adding "4y" to both sides of the equation:
$x - 4 y + 4 y = - 19 + 4 y$
This should leave you with:
$x = 4 y - 19$
Now you can substitute it into th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15329 | # Direct product of faithful representations into direct sum
1. Feb 11, 2012
### rkrsnan
Direct product of two irreducible representations of a finite group can be decomposed into a direct sum of irreducible representations. So, starting from a single faithful irreducible representation, is it possible generate ever... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15330 | ## Gosper’s Mathematics
Sometimes I bump into more of the astonishing results of Gosper (some examples follow) and I gather that a lot of them come from hypergeometrics and special functions.
• Have there been any attempts to try and collect together these?
• What papers/books and such are there which study collectio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15331 | ## Saturday, June 27, 2015
### The Perimeter Puzzle Under an Additional Constraint
A reader sent this configuration for the perimeter puzzle:
This suggests a new version of the puzzle:
Maximize perimeter among configurations like the one above, namely: (1) The boundary doesn't self-intersect; and (2) there are no "... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15333 | # Grothendieck’s Theorem
$\newcommand{\Hom}{\operatorname{Hom}}$Given a morphism of $S$-scheme, $f: X\rightarrow Y$. Consider the functor $\Hom(X,Y): ({\operatorname{Sch}}/S)^o\rightarrow (\operatorname{Sets})$ to be the following: For $S$-scheme $T,$ $\Hom(X,Y)(T)= \Hom_T(X\times_S T, Y\times_S T)$ And for morphism o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15334 | # General solution of a linear system (differential equations)
1. Oct 29, 2009
### wtrow
1. The problem statement, all variables and given/known data
x''+13y'-4x=6sint , y''-2x'-9y=0
3. The attempt at a solution
I am not really sure how to solve this completely, but I have done this so far:
(D^2-4)x + 13Dy - 6sint... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15335 | ## Algebraic constructions of K_{s,t}-free graphs
#### Boris BukhCarnegie-Mellon University
How many edges can an $n$-vertex graph have without containing $G$ as a subgraph? If $G$ is not bipartite, then the asymptotics is known, but for only a few bipartite graphs the humankind knows the answer. In all the resolved ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15336 | # What am I doing wrong in the evaluation of this integral?
So Here is this question : "evaluate $$\iint\sqrt{1-x^2-y^2} \, dx \, dy$$ where the region is bounded by the circle $$x^2+y^2=x$$."
Now if I turn it polar form and take limits of $$r$$ from $$0$$ to $$\cos\theta$$ and limits of $$\theta$$ from $$-\pi/2$$ to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15337 | # Area of a spherical cap across an intersection [duplicate]
I have a sphere with radius $$r$$ that equally divided in to two hemisphere P and S. There is a plane that separate two different zone A and B. Upper zone called A and lower zone called B. $$\alpha$$ is the contact angle. So $$\alpha$$ larger means sphere is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15338 | # Principle of Superposition in Circuits
1. Feb 22, 2014
### zealeth
1. The problem statement, all variables and given/known data
Assume that V = 4.8V and I = 3.2mA. Find Ix in the figure using the principle of superposition.
2. Relevant equations
V=IR
Kirchhoff's Current Law
Kirchhoff's Voltage Law
Total respons... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15339 | # trace formula
Let $\Gamma$ be a compact Lie group acting on $V$ and let $\Sigma\subset\Gamma$ be a Lie subgroup. Then
$\operatorname{dim}\;\operatorname{Fix}(\Sigma)=\int_{\sigma\in\Sigma}% \operatorname{trace}(\sigma)$
where $\int$ denotes the normalized Haar integral on $\Sigma$ and $\operatorname{Fix}(\Sigma)$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15341 | Browse Questions
# If A is a matrix of order $3\times 3$,then | 3A |=_______________.
Toolbox:
• $k|A|=k^3|A|$
We know from the information in the tool box,$k|A|=k^3|A|$
If a matrix of order $3\times 3$,then $|3A|=3^3|A|=27|A|$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15342 | # Particular Values of Integration
We can find the integral constant $c$, given a particular value of the function.
### Example 1
Find $f(x)$ given that $f'(x) = 3x^2+4x-5$ and $f(1)=3$.
\begin{align} \displaystyle f(x) &= \int{(3x^2+4x-5)}dx \\ &= \dfrac{3x^{2+1}}{2+1} + \dfrac{4x^{1+1}}{1+1} – 5x +c \\ &= x^3 + 2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15343 | # How do you solve (x – 2) ² = 4(4 – x)?
Mar 27, 2016
$x = - 2 \sqrt{3}$ or $x = 2 \sqrt{3}$
#### Explanation:
Simplifying ${\left(x - 2\right)}^{2} = 4 \left(4 - x\right)$, we get
${x}^{2} - 4 x + 4 = 16 - 4 x$ or
${x}^{2} - 4 x + 4 x + 4 - 16 = 0$ or
${x}^{2} - 12 = 0$ or
$\left(x + \sqrt{12}\right) \left(x -... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15340 | # How to treat differentials and infinitesimals?
In my Calculus class, my math teacher said that differentials such as $dx$ are not numbers, and should not be treated as such.
In my physics class, it seems like we treat differentials exactly like numbers, and my physics teacher even said that they are in essence very... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15332 | # Limit of a Trigonometric Function
1. Oct 9, 2005
### dekoi
Question:
lim(x->0) for (tanx - sinx) / (sinx)^2
This is what I got:
= (sinx-sinxcosx) / (cosx)(sinx)^2
= (sinx)(1-cosx) / (sinx)(sinx)(cosx)
= (1 - cosx) / (sinx)(cosx)
However, I can't figure out what to do from this step, as the limit still equals 0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2224 | # Math Help - Proof by induction: 7^n + 2 is divisible by 3
1. ## Proof by induction: 7^n + 2 is divisible by 3
Use Proof by Mathematical induction to prove that 7^n + 2 is divisible by 3 for all n in the Natural Numbers.
First thing I guess is to label the equation;
$p(n) = 7^n + 2$
And then Show that it holds for... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2225 | # Using U-Substitution to Find an Integral
So I was messing around with some basic u-sub calculus and came across this problem. Any help would be greatly appreciated!
## Homework Statement
$\int$ $\frac{3x^{2}}{x^{2}-7}$ dx
## Homework Equations
I'm using u-substitution, as stated at the beginning.
## The Attempt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2226 | Annals of Nuclear Medicine
List of Papers (Total 139)
4-Borono-2-18F-fluoro-l-phenylalanine PET for boron neutron capture therapy-oriented diagnosis: overview of a quarter century of research
4-10B-Borono-2-18F-fluoro-l-phenylalanine (18F-FBPA) was developed for monitoring the pharmacokinetics of 4-10B-borono-l-phen... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2227 | Share
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# Solution for A Man of Height 6 Ft Walks at a Uniform Speed of 9 Ft/Sec from a Lamp Fixed at 15 Ft Height. the Length of His Shadow is Increasing at the Rate of (A) 15 Ft/Sec (B) 9 Ft/Sec - CBSE (Science) Class 12 - Mathematics
ConceptRate of Change of Bodies Or Quantities
#### Question
A ma... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2228 | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 24 Oct 2016, 06:21
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2230 | # Diagonalization-eye-catch
### More from my site
• Any Vector is a Linear Combination of Basis Vectors Uniquely Let $B=\{\mathbf{v}_1, \mathbf{v}_2, \mathbf{v}_3\}$ be a basis for a vector space $V$ over a scalar field $K$. Then show that any vector $\mathbf{v}\in V$ can be written uniquely as $\mathbf{v}=c_1\mathbf... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2231 | on the difference of exponential random variables - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T04:27:56Z http://mathoverflow.net/feeds/question/95719 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/95719/on-the-difference-of-exponential-random-variables o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2232 | # Minimizing by Ekeland’s Variational Principle.
Minimizing by Ekeland’s Variational Principle.
Motivation of Ekeland’s paper “On the variational principle.” JMAA, 47. (1974). If $f$ is a continous function on $\mathbb{R}^n$ or Banach space $X$ or complete Riemannian manifold $\overline{M}$ and $f$ has not minimum (o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2233 | Covariant derivative
1. Oct 20, 2007
ehrenfest
1. The problem statement, all variables and given/known data
I am trying to show that the components of the covariant derivative [tex] \del_b v^a are the mixed components of a rank-2 tensor.
If I scan in my calculations, will someone have a look at them?
2. Relevant e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2234 | # algorithms – Total weight of all spanning trees
Given a weighted simple undirected connected graph $$G = (V, E, w:E to mathbb{R})$$, let $$tau(G)$$ be the set of all its spanning trees. Is there an efficient algorithm to determine or estimate with high probability the number
$$W = sum_{mathcal{T} in tau(G)} sum_{e ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2235 | # Condition for Straight Lines in Plane to be Parallel/Slope Form/Proof 1
## Theorem
Let $L_1$ and $L_2$ be straight lines in the Cartesian plane.
Let the slope of $L_1$ and $L_2$ be $\mu_1$ and $\mu_2$ respectively.
Then $L_1$ is parallel to $L_2$ if and only if:
$\mu_1 = \mu_2$
## Proof
Let $L_1$ and $L_2$ be ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2236 | # Independent of generated $\sigma$-algebra if independent of random variables
Let $$(X_t)_{t\geq 0}$$ be a stochastic process and let $$\mathcal F_t=\sigma(X_s:0\leq s\leq t)$$ be the generated filtration. If $$Y$$ is a random variable independent of $$X_s$$ for all $$0\leq s\leq t$$, must $$Y$$ be independent of $$\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2239 | # Figure 9
Top: ratios of \ptchjet-differential cross section of charm jets tagged with \Dzero mesons for different $R$: $\sigma(R=0.2)/\sigma(R=0.4)$ (circles, shifted up by 0.5) and $\sigma(R=0.2)/\sigma(R=0.6)$ (squares) in \pp collisions at \thirteen (left) and \five (right) compared to PYTHIA 8 HardQCD Monash 20... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2237 | # 180 Days of Math for Fifth Grade Day 82 Answers Key
By accessing our 180 Days of Math for Fifth Grade Answers Key Day 82 regularly, students can get better problem-solving skills.
## 180 Days of Math for Fifth Grade Answers Key Day 82
Directions Solve each problem.
Question 1.
Subtract 55 from 86.
______________
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2238 | # Corrigendum to ‘Homotopy pullback of An-spaces and its applications to An-types of gauge groups’ [Topology Appl. 187 (2015) 1–25] (S0166864115000838) (10.1016/j.topol.2015.02.014))
Research output: Contribution to journalComment/debate
### Abstract
Introduction: The author regret that Section 9 of [5] contains a m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2229 | ## Algebra and Trigonometry 10th Edition
$f(x)=(x-3)^2-6$
$f(x)=a(x-k)^2+h~~$ (Standard form, where $(k,h)$ is the vertex) $f(x)=a(x-3)^2-6$ Use the point $(0,3)$ to find $a$: $3=a(0-3)^2-6$ $3+6=a(-3)^2$ $9=9a$ $a=1$ $f(x)=1(x-3)^2-6=(x-3)^2-6$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12176 | Question
# Draw two direct common tangents to two circles of radii 4cm and 2cm whose centres are 8cm apart. Measure the length of the tangents.
Hint:We will be using the concept of circle tangents to solve the problem. Also, some concepts of geometry and trigonometry will be used. Remember the tangent drawn to the ci... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12177 | # Common Constants in Electrical Power Systems Engineering
Speed of electric current (in 12-gauge copper wire) ≈ v ≈ 300 m/μs
Vacuum permittivity (electric constant) = ε0 =8.85418782 × 10-12 m-3 kg-1 s4 A2
# WIL: Making Quick References
Learning 1:
Quick references are sometimes also referred to as reference cards,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12179 | # Definition of integers needs explaining
Zero and one are defined by the successor function.
\begin{align*} &0 ≡ λsz.z \\ &1 ≡ λsz.s(z) \end{align*}
But why? $λsz.z$ is irreducible to a value. If I call this function on some value, I get back $z$, which is merely a variable in itself. If I call the function on two ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12180 | # Pump system with dynamic head
Given:
• A pump system is defined with dynamic head of 46 feet.
• The height between the static pressure gauge and the surface of the water is 9 feet.
Assumptions:
• Friction losses between the tank and pump are approximately 0.
Hint:
• The pressure gauge is capable of sensing stat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12181 | 2 edited tags
1
On closed totally disconnected subgroups of connected real Lie groups
So the following statement seems to be obvious but I don't see how to prove it:
Q: How does one prove that a closed totally disconnected subgroup of a connected real Lie group is discrete?
Note that it is essential to take into ac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12183 | 1
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
The current I1 (in A) flowing through 1 $$\Omega$$ resistor in the following circuit is :
A
0.4
B
0.25
C
0.2
D
0.5
2
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A moving coil galvanometer, having a resistance G, produces full scale deflection when a curre... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12184 | # How do you factor 2x^3 - 4x?
Apr 21, 2016
$2 {x}^{3} - 4 x = 2 x \left(x - \sqrt{2}\right) \left(x + \sqrt{2}\right)$
#### Explanation:
The difference of squares identity can be written:
${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$
We use this with $a = x$ and $b = \sqrt{2}$ later.
$\textcolor{w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12185 | +0
# In the figure:http://i57.tinypic.com/29ggy1u.jpg,D and E are the points lying on AC and AB respetively such that BE:AE =AD:DC=2:1.BD andCE intersects at K
0
383
4
In the figure:http://i57.tinypic.com/29ggy1u.jpg,D and E are the points lying on AC and AB respetively such that BE:AE =AD:DC=2:1.BD andCE intersects... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12186 | # Lesson 17
Volume and Density
• Let’s use volume and density to solve problems.
### 17.1: A Kilogram by Any Other Name
Which has more mass, a thousand kilograms of feathers or a thousand kilograms of steel? Explain your reasoning.
### 17.2: Light as a Feather
The feathers in a pillow have a total mass of 59 gram... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12187 | # Math Help - determinate
1. ## determinate
how I can write the determinate like this in latex
i..................j...............k
d/dx...........d/dy..........d/dz
x...............y...............z
I know it is equal zero I want how I can write it ??
Thanks
2. Originally Posted by Amer
how I can write the dete... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12188 | <meta http-equiv="refresh" content="1; url=/nojavascript/">
You are reading an older version of this FlexBook® textbook: CK-12 Chemistry - Second Edition Go to the latest version.
# 26.21: U
Difficulty Level: At Grade Created by: CK-12
universal gas law
relates the volume of a gas with pressure, temperature, and numb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12190 | # A factory produces plastic cell phone cases. To fit properly, each case must have a width...
###### Question:
A factory produces plastic cell phone cases. To fit properly, each case must have a width between 53.5 and 54.5 millimeters. The quality control manager for the factory collects a random sample of 100 cases... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12191 | # How to work out the relation between the “mean relative speed” and the “mean speed”?
I'm a freshman and am taking the general physics course. I just learned intro thermodynamics. One problem that really puzzles me is the calculation of "collision mean-free path", where calculating the mean relative velocity between ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12178 | # How do you find the asymptotes for g(x)= (x+2 )/( 2x^2)?
Nov 20, 2016
The vertical asymptote is $x = 0$
No slant asymptote
The horizontal asymptote is $y = 0$
#### Explanation:
As you cannot divide by $0$
Domain, ${D}_{g} \left(x\right) = \mathbb{R} - \left\{O\right\}$
$x \ne 0$
Therefore, $x = 0$ is a vertical ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12182 | # Lebesgue integral
2010 Mathematics Subject Classification: Primary: 28A25 [MSN][ZBL]
The most important generalization of the concept of an integral. Let $(X,\mu)$ be a space with a non-negative complete countably-additive measure $\mu$ (cf. Countably-additive set function; Measure space), where $\mu(X)<\infty$. A ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12189 | ## When are Actors appropriate?
So there have been conversations about what is appropriate talk on LtU. Personally I am not offended by brusque commentary. On the other hand, while I respect Hewitt, I do think that the 'actors everywhere' thing has not gotten any better, only worse. I posted about process calculi and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14257 | # equivalent statement of Baire category theorem
Let $(X,d)$ be a complete metric space. Then every subset $B\subset X$ of first category has empty interior.
Corollary: Every non empty complete metric space is of second category.
Title equivalent statement of Baire category theorem EquivalentStatementOfBaireCategory... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14258 | # Is Turing-completeness decidable?
This may be a silly question, but is there an algorithm that decides whether any given model of computation is Turing complete?
-
I think you would need a well-defined way to encode a model of computation as input for (say) a Turing machine. Any thoughts on how you would do that? –... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14260 |
# 5.10: Ratios and Rate (Part 1)
Skills to Develop
• Write a ratio as a fraction
• Write a rate as a fraction
• Find unit rates
• Find unit price
• Translate phrases to expressions with fractions
be prepared!
Before you get started, take this readiness quiz.
1. Simplify: $$\dfrac{16}{24}$$. If you missed this pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14262 | ## College Algebra (11th Edition)
Published by Pearson
# Chapter 7 - Section 7.2 - Arithmetic Sequences and Series - 7.2 Exercises - Page 645: 33
#### Answer
$S_{10}=215$
#### Work Step by Step
$\bf{\text{Solution Outline:}}$ To find $S_{10}$ in the given sequence \begin{array}{l}\require{cancel} 8, 11, 14, ... \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14263 | ### Home > CALC > Chapter 12 > Lesson 12.1.4 > Problem12-50
12-50.
1. Find the interval of convergence for each series. Homework Help ✎
Once the Ratio Test is first applied, your result should be:
Once the Ratio Test is applied and simplified, your result should be:
Once you solve for x, be sure to check the endpoi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14264 | # Natural log limits as n approaches infinity
1. Oct 10, 2013
### MSG100
My question is:
Show the limit of
$$x_{n}=\frac{ln(1+\sqrt{n}+\sqrt[3]{n})}{ln(1+\sqrt[3]{n}+\sqrt[4]{n})}$$
as n approaches infinity
Solution:
$${x_n} = \frac{{\ln (1 + {n^{\frac{1}{2}}} + {n^{\frac{1}{3}}})}}{{\ln (1 + {n^{\frac{1}{3}}} + {... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14265 | 0
956
# Geometric Progression For CAT PDF:
Download Geometric Progression For CAT PDF. Practice important problems on Geometric Progression Questions with detailed explanations and solutions.
Question 1: If the first term of an infinite geometric progression is equal to twice the sum of terms that follow, then what ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14266 | # Meaning of the p-value
Suppos that we have a null-hypothesis $$H_0: \ \theta=\theta_0$$. Our alternative hypothesis could be for example $$H_1: \ \theta\ne \theta_0$$. We want to test the null-hypothesis so we construct a test-statistic $$T$$ which has some probability distribution. Based on the data we compute the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14267 | # Homework Help: Calculating Integrals
1. Sep 1, 2009
### rtran58
1. The problem statement, all variables and given/known data
Calculate the integral.
Code (Text):
$$\int\frac{d}{dx}\sqrt{x^{2} + 4}dx$$
2. Relevant equations
3. The attempt at a solution
All i know is that i am suppose to factor out the
Code (Text):... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14268 | # American Institute of Mathematical Sciences
2015, 9: 169-190. doi: 10.3934/jmd.2015.9.169
## Complex rotation numbers
1 Institut deMathématiques de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France 2 National Research University Higher School of Economics, Miasnitskaya Street... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14269 | ## Calculus with Applications (10th Edition)
$x<0\ \$ or $\ \ x\geq 3$
There are two intervals here On the left is an interval containing all numbers less than 0 (but not equal to 0, as the empty circle excludes the endpoint 0). On the right, we have all numbers greater or equal to 3 (note the solid circle indicating ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14270 | # Find a permutation $\sigma$ maximizing the sum $\sum_{i=1}^n {a_i \over \sigma(i)}$.
Given $$a_1< a_2<\dots < a_n,$$
find a permutation $$\sigma$$ maximizing the sum >$$\sum_{i=1}^n {a_i \over \sigma(i)}.$$
I can't figure our where to begin. I know that the solution is $$\sigma=e$$, but I cannot prove it.
• Maybe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14271 | # 15.5: Equilibrium Constants and Coupled Reactions
## Coupled Equations
Chemists frequently need to know the equilibrium constant for a reaction that has not been previously studied. In section 5.7: Hess's Law, we learned that for coupled reactions enthalpies are additive. In this section we shall see that for coup... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14256 | # zbMATH — the first resource for mathematics
An introduction to intuitionistic fuzzy topological spaces. (English) Zbl 0923.54004
The author gives the fundamentals of the theory of intuitionistic fuzzy topological spaces and precisely the concepts of compactness, connectedness and Hausdorffness. Several characterizat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14259 | # General solution of a differential equation with exponantial terms
How can I get a general solution to the following ode? dsolve command in Wolfram Mathematica and Maple don't return any result
DSolve[((5 (-10 + 3 E^(t \[Alpha])) \[Alpha]^2)/(
9 (-1 + E^(t \[Alpha]))^2) + (
E^(2 t \[Alpha]) (-1 + E^(-t \[Alpha]))^(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14261 | # How do you find the solution to the quadratic equation 3x^2 + 24x - 9 = 0?
May 5, 2015
$3 {x}^{2} + 24 x - 9 = 0$
is equivalent (after dividing both sides by 3) to
${x}^{2} + 8 x - 3 = 0$
Using the quadratic formula for roots
$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$
$x = \frac{- 6 \pm \sqrt{64 + 12}}{2}$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18000 | # Math Help - easy probability question
1. ## easy probability question
A certain airplane holds 184 passengers. The rate of passengers' no-show is 9% and they sell 201 tickets. Is it likely that they will not have enough seats. It seems easy but i'm stuck
2. Originally Posted by anna12345
A certain airplane holds 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18001 | # Rolls
Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls left when Peter yet put two at dinner?
r = 7.5
### Step-by-step explanation:
$r=13-3.5-2=\frac{15}{2}=7.5$
We will be pleased if You send us any improvements to this math problem. Thank you!
Math student
how does this help
Math student
it doesnt
Ti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18002 | # Linearly independent subset of V ⊆ basis of V
The Theorem states:
Let V be a vector space that has a finite spanning set, and let S be a linearly independent subset of V. Then there exists a basis S' of V, with S ⊆ S'
I don't need a proof necessarily, just want to build an intuition for it. Also, how would I use t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18003 | # Quantum First Passage Time Problem-A Bohmian Perspective. (arXiv:1802.01863v1 [quant-ph])
The prediction of arrival time or first passage time statistics of a quantum
particle is an open problem, which challenges the foundations of quantum
theory. One of the most promising and insightful approaches to this problem
s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18005 | DeepAI
Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations
In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Carathéodory type right-hand side functions. We provide construction of randomized Eule... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18006 | # RSA: Fermat's Little Theorem and the multiplicative inverse relationship between mod n and mod phi(n)
I'm learning about the proof of the RSA encryption algorithm, and I'm clearly fudging or missing something, because for me it doesn't add up.
When generating keys for RSA encryption, we make sure that:
$ed \equiv 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18007 | 52 views
$X\left ( \omega \right )$ is the Fourier transform of $x(t)$ shown below. The value of $\int_{-\infty }^{\infty }\mid X \left ( \omega \right ) \mid ^{2}d \omega$ (rounded off to two decimal places) is ____________ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18008 | # A question regarding $\forall a,b\in \mathbb{Q}\enspace\exists x,y \in \mathbb{Z}:\operatorname{gcd}(a,b)=xa+yb$
I'm currently reading a book on discrete mathematics, more specifically I'm having a look at the chapter that covers some elementary number theory. There I read about something called Euclid's algorithm w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18009 | # 53 Method of Moments
## 53.1 Rationale
Suppose that $$X_1, X_2, \ldots, X_n {\; \stackrel{\text{iid}}{\sim}\;}F$$. By the strong law of large numbers we have, as $$n \rightarrow \infty$$
$\frac{\sum_{i=1}^n X_i^k}{n} \stackrel{\text{a.s.}}{\longrightarrow} {\operatorname{E}}_{F}\left[X^k\right]$
when $${\operator... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18010 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 24 May 2019, 13:31
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18011 | # directional vector of given line
i know that if line equation is given by the following
r={a1*x+b*y+c1*z+d=0 and a2*x+b2*y+c2*z+d2=0}
then directional vector is given by the cross product of this two plane or it is determinant of the following form
i j k
a1 b1 c1
a2 b2 c2
i was trying to determi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18012 | ## Almost f-algebras and d-algebras.(English)Zbl 0707.06009
By definition, a lattice ordered algebra A is an f-algebra if $$a\bot b$$ (that is, $$| a| \wedge | b| =0)\Rightarrow$$ ca$$\bot b$$ and ac$$\bot b$$ for all a,b,c$$\in A$$, an almost f-algebra if $$a\bot b\Rightarrow$$ $$ab=0$$ for all a,b$$\in A$$, and a d-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18013 | # Limit of ratio of sequences
Let $\{ a_n\}$, $\{ b_n\}$ be two sequences where $b_n$ is increasing such that $\lim_{n \rightarrow \infty}b_n = \infty$. Also that $$\lim_{n \rightarrow \infty} \frac{a_{n+1}-a_n}{b_{n+1}-b_n} = s$$ Show that $\lim_{n \rightarrow \infty}\frac{a_n}{b_n} = s$. Further show that if $b_n >0... |
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