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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23911 | Browse Questions
# Three bags contain a number of red and white balls as follows:
Bag 1:3 red balls,Bag 2:2 red balls and 1 white ball. Bag 3:3 white balls. The probability that bag i will be chosen and a ball is selected from it is $\Large \frac{i}{6}$, i=1,2,3.If a white ball is selected,what is th probability that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23912 | # Valley and Mountain
Calculus Level 3
On the Cartesian plane, what is the distance between the global maximum and global minimum of the following function?
$f(x) = \tan \left ( \dfrac{\pi x}{x^2+4} \right )$
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23914 | # Use a protractor to measure angles
👁 38
statistics
How to use protractor to measure angles
Questions #: 15
Time: 10 minutes
Pass Score: 80.0%
Style
Mode
POINTS (1)
POINTS (1)
POINTS (1)
#### An angle measure of 1° meaning
An angle measure of 1° (read as “one degree”) means that one side of an angle is rotate... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23915 | 317 Answered Questions for the topic Algebra 2 Help
Algebra 2 Help
08/28/16
#### F(x) = |2x-1| +3; reflected across the y axis
Algebra 2 translating graphs
Algebra 2 Help Algebra 2
08/17/16
#### Find the y-intercept of the line through (5,7) that is perpendicular to x-3y=6
Find the y-intercept of the line throug... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23917 | Formulas of Useful Limits
1) If $\mathop {\lim }\limits_{x \to a} f(x) = l$ and $\mathop {\lim }\limits_{x \to a} g(x) = m$, then
• $\mathop {\lim }\limits_{x \to a} \left[ {f(x) \pm g(x)} \right] = l \pm m$
• $\mathop {\lim }\limits_{x \to a} f(x) \cdot g(x) = l \cdot m$
• $\mathop {\lim }\limits_{x \to a} \frac{{f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23918 | Consider the set of data points: (6,6), (10,7),(-8,7), (-9,10) , (1,10).You must utilize the points in the same order that
Question:
Consider the set of data points: (6,6), (10,7),(-8,7), (-9,10) , (1,10). You must utilize the points in the same order that they appear from left to right!l! 1) If we set up matrix syst... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23919 | # Dynamic water pressure from flow and diameter
I have to test some fire hydrants and need to get the dynamic pressure. For that I know I can use a Pitot tube but, I don't have one. After Googling a lot, I found two formulas allowing to compute the dynamic pressure: one is using speed of fluid, the second is used in f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23913 | I feel slightly embarrassed to ask this, but I've managed to thoroughly confuse myself about the following.
Consider $$\mathbb{R}^2$$ together with the lattice $$\Lambda=\{(n,m): n,m\in \mathbb{Z}\}$$.
Clearly, the torus $$\mathbb{T}^2=\mathbb{R}^2/\Lambda$$ admits the obvious flat metric that makes it a square torus... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9952 | # Alberta Math 20-3
## GeoGebra Constructions Organized by Strand
### Geometry
Geometry - Slope Show how slope can be calculated for line segments Slope can be calculated using either $$\frac{Rise}{Run}$$ or $$\frac{y_2-y_1}{x_2-x_1}$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9953 | # Is every polynomial ring over any field regular?
Is every polynomial ring over any field regular?
For a field that is algebraically closed, it is true as any maximal ideal of $k[x_1,...,x_n]$ corresponds to a point $(t_1,...,t_n)$ in $\mathbb{A}^n$ and thus is generated by $n$ elements $x_i-t_i$. But when $k$ is no... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9954 | # history of probability pdf
is fact has contributed to the increas-, is research was supported by the project “El diseño del, Aer a short research stay as a fellowship researc, London (), and a research assistant of Dr, ciety Research Expert and is a member of the E-CAP’, berta, Information Science Publishing,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9955 | ## Proof of Equivalence of NFA- and NFA
We are going to prove that the NFA obtained from NFA- by the conversion algorithm accepts the same language as the NFA- .
NFA- that recognizes a language L is denoted by M1 = < Q1 , , q1,0 , 1 , A1 > and NFA obtained by the conversion is denoted by M2 = < Q2, , q2,0 , 2 , A2 >
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9956 | # Integral e^x ln(x)dx
## Homework Statement
find integral e^x ln(x)dx
## Homework Equations
integral udv=uv-integral vdu
## The Attempt at a Solution
u=ln(x) ,du=1/x dx
dv=e^xdx ,v=e^x
integral e^x ln(x)dx=ln(x)e^x -integral e^x/x dx
integral e^x/x dx =
u=e^x du=e^x dx , dv=1/x dx , v=ln(x)
ln(x)e^x-integral l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9957 | ## Basic College Mathematics (10th Edition)
$a=-40$
We are given the equation $-10=\frac{a}{5}-2$. In order to solve, we can first add 2 to both sides. $-10+2=\frac{a}{5}-2+2$ $-8=\frac{a}{5}$ Multiply both sides by 5. $-8\times5=\frac{a}{5}\times5$ Therefore, $a=-40$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9958 | # Retroreflection and diffraction of a Bose–Einstein condensate by evanescent standing wave potential
## Abstract
The characteristic of the angular distributions of accelerated Bose–Einstein condensate (BEC) atoms incidence on the surface is designed using the mathematical modeling method. Here, we proposed the idea ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9960 | Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
It is currently 25 May 2017, 21:13
# Events & Promotions
###### Events & Promotions in June
Open Detailed Calendar
# GMAT Problem Solving (PS)
Mark topics read
new topic Question banks Downloads My Bookmarks Re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9961 | # Simply connected
#### dwsmith
##### Well-known member
A set $S$ is called star shaped if there exist a point $z_0\in S$ such that the line segment between $z_0$ and any point in $S$ is contained in $S$. Prove that a star shaped set is simply connected.
Let $\gamma_1$ and $\gamma_2$ be two closed curves with the sa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9962 | # On the Entropy of Compound Distributions on Nonnegative Integers
@article{Yu2009OnTE,
title={On the Entropy of Compound Distributions on Nonnegative Integers},
author={Yaming Yu},
journal={IEEE Transactions on Information Theory},
year={2009},
volume={55},
pages={3645-3650}
}
• Yaming Yu
• Published 1 August 2009
• ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9965 | # Probability that two such randomly generated strings are not identical
A random bit string of length $$n$$ is constructed by tossing a fair coin $$n$$ times and setting a bit to $$0$$ or $$1$$ depending on outcomes head and tail, respectively. The probability that two such randomly generated strings are not identica... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9966 | # Consider a Lorentz transformation q, p ? Q, P. The canonical coordinates q are x0, x1, x2, x3 where.
Consider a Lorentz transformation q, p → Q, P. The canonical coordinates q are x0, x1, x2, x3 where the xµ are the contravariant components of r. The canonical momenta p are p0 , p1 , p2 , p3 where the pµ are the cov... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9967 | # What is the molality of a solution in which 15 g of dissolved in 500. g of alcoholi?
$\text{Molality"="Moles of solute"/"Kilograms of solvent}$, and $\text{molality}$ is often represented by lower case $m$.
i.e. "molality"=((15*g)/("molar mass of solute(?)"))/(0.500*kg). So we need to know $\text{molar mass of solut... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9959 | m
• E
F Nous contacter
0
# Documents Eynard, Bertrand | enregistrements trouvés : 1
O
P Q
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
## Integrable systems and spectral curves Eynard, Bertrand | CIRM H
Multi angle
Exposés de recherche
Usually one defines a Tau function Tau(t_1,t_2,...... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9963 | College Algebra 7th Edition
$y-2 = 3(x-1)$
RECALL: The point-slope form of a line's equation is $y-y_1 = m(x-x_1$ where $(x_1, y_1)$ is a point on the line. Thus, the point-slope form of the equation of a line with a slope of $3$ and passes through the point $(1, 2)$ is: $y-2 = 3(x-1)$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2256 | # Thread: a+1 is not a factor of a^2+1
1. ## a+1 is not a factor of a^2+1
$a+1$ is not a factor of $a^2+1$.
However, when $a=-3$, we get -2 is not a factor of 10, which is false. Could someone explain this anomaly?
2. ## Re: a+1 is not a factor of a^2+1
the polynomial in a, a+1, is not a factor of the polynomial i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2257 | Animated Logical Graphs • 47
Re: Richard J. LiptonThe Art Of Math
Re: Animated Logical Graphs • (30) (45) (46)
A logical concept represented by a boolean variable has its extension, the cases it covers in a designated universe of discourse, and its comprehension (or intension), the properties it implies in a designat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2258 | # The vector $\overrightarrow a=\alpha\hat i+2\hat j+\beta\hat k$ lies in the plane of the vectors $\overrightarrow b=\hat i+\hat j$ and $\overrightarrow c=\hat j+\hat k$ and bisects the angle between $\overrightarrow b\:\:and\:\:\overrightarrow c$, then $(\alpha,\beta)=?$
$(a)\:\:(1,1)\:\:\:\:\qquad\:\:(b)\:\:(2,2)\:\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2259 | # Calculate angular momentum? I almost got the right answer but it's wrong Help!
1. Nov 19, 2012
### riseofphoenix
Calculate angular momentum? I almost got the right answer but it's wrong!! Help!
This is what I did for part a...
1. What is given
Particle
mp = 0.450 kg
r = 1 m
Stick
ms = 0.125 kg
r = 0.5 m
2. An... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2260 | # A **proof** for $\sum_{i=0}^{t-2}{\frac{1}{t+3i}} \leq \frac{1}{2}$ [duplicate]
I need a proof for the inequality: $\sum_{i=0}^{t-2}{\frac{1}{t+3i}} \leq \frac{1}{2}$ for all natural numbers $t \geq 2$. For $t=2$ both sides are equal.
Can someone find a proof for all $t$? maybe by proving monotonicity (non-increasi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2261 | # Radius of curvature problem
• Mar 13th 2009, 11:54 AM
Stonehambey
Radius of curvature problem
I'm having a little trouble finding the radius of curvature for problems of the following form
$y^n=f(x)$
For examples. I'm asked to find the radius of curvature at the point (0,0) for the curve $y^2=4ax$
So
$2y\, y' = ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2263 | # Polchinski Vol.2 P58 projection under a twist with a discrete torsion in E8$\times$E8 superstring
I don't know how to get the projection Equation (11.3.15) in the book.
In the $$E_8\timesE_8$$ superstring theory, one can introduce the following twist,
$$(h_1,h_2)=(\exp[\pi i(k_1F_1+l_1\tilde{F})],\exp[\pi i(k_2F_1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2265 | I'm suppose to evaluate the questions below but i dont really know what to do....the first one results to 0/0 and i tried to factor the down part. I got (x-8)(x^(2)+8x+64) for the denominator and i also got 3(x-1)(x-2) for the numerator. Please i dont know what to do from there... help me, i know this is suppose to be ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2266 | ## jackson24 Group Title Q.If you bet on “red” at roulette, you have chance 18/38 of winning. (There will be more on roulette later in the course; for now, just treat it as a generic gambling game.) Suppose you make a sequence of independent bets on “red” at roulette, with the decision that you will stop playing once y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2267 | # Central force - stable/unstable circular orbit for $V = -V_0 \exp(-\lambda^2 r^2)$
This problem is from Introduction to Classical Mechanics With Problems and Solutions by David Morin. The solution is also given in the book for this particular problem.
Problem #6.6.1
A particle moves in a potential $$V(r) = -V_0 \e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2268 | # Meaning of $[A,B]$ when $A$ and $B$ are self-adjoint
This is just a question about what constitutes standard notation.
In a context where $A$ and $B$ are understood to be Hermitian matrices, what is usually meant by the bracket $[A,B]$ ?
On the one hand, I'd have thought it was standard for $[A,B]$ to denote the c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2269 | Stability theory
For the branch of model theory, see stable theory.
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2270 | # zbMATH — the first resource for mathematics
Periodic solutions of Lagrangian systems with bounded potential. (English) Zbl 0664.34053
V. Bençi [Ann. Inst. Henri Poincaré, Anal. Non Lineaire 1, 379-400 (1984; Zbl 0561.58006)] studied the existence of T-periodic solutions of the Lagrangian system of ODEs $(1)\quad (d/... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2271 | # Back of the Envelope
Observations on the Theory and Empirics of Mathematical Finance
## BR: Ito Calculus – I
Time to get down to business. Having build up the necessary intuition that GBM seems to be the way to go, the next step is build up the toolkit to work with BM. We need to make sure that we can take derivat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2262 | ### Number Systems - Test Papers
CBSE Test Paper 01
CH-1 Number Systems
1. $\sqrt{12}×\sqrt{15}$ =
1. 5
2. $5\sqrt{6}$
3. $6\sqrt{5}$
4. 6
2. Which of the following is equal to ‘x’?
1. $\sqrt[12]{{\left({x}^{4}\right)}^{\frac{1}{3}}}$
2. ${x}^{\frac{12}{7}}×{x}^{\frac{7}{12}}$
3. ${\left(\sqrt{{x}^{3}}\right... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14305 | # Elementary proof that Rn\mathbb{R}^n is not homeomorphic to Rm\mathbb{R}^m
It is very elementary to show that $\mathbb{R}$ isn’t homeomorphic to $\mathbb{R}^m$ for $m>1$: subtract a point and use the fact that connectedness is a homeomorphism invariant.
Along similar lines, you can show that $\mathbb{R^2}$ isn’t ho... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14307 | # For which x does $\sum\limits_{i=0}^{n}x^i=O(n)$ hold?
I'm stuck with this exercise: I have to find for which $x$ the estimate $\displaystyle\sum\limits_{i=0}^{n}x^i=O(n)$ holds.
It seems intuitive to me that this must be the case for all $x \in (0,1)$ but proving this seems to be beyond my abilities.
I tried some... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14308 | # The maximal solution of Cauchy problems
The maximal solution of Cauchy problems is a solution that gives full information on the physical model. In fact, we obtain this solution by extending local solutions. In this post, we give some theorem that shows the existence of the uniqueness of the maximal solution.
### T... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14309 | # Showing that an integer solution does not exist
I am given a quadratic form (non-homogeneous) in 12 variables and I want to show that it does not have an integer solution.
The 'FindInstance' and 'Solve' command both give {} while 'Reduce' returns 'false'. So that is good news. However, I want to use the fact in a p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14310 | # Fot Hany| c0ntant Ail AT [nualnuhs(RUCTle
###### Question:
Fot Hany| c0ntant Ail AT [nualnuhs (RUCT le
#### Similar Solved Questions
##### TThe probability is p 0.40 that patient with certain disease will be successfully treated with new medical treatment Suppose that the treatment used on I0 palients If the rand... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14311 | ## Railways Quant Test 159
Instructions
For the following questions answer them individually
Q 1
A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?
Q 2
$$72 \div \frac{1}{2}$$ { 15 + 12 - (9 + 6 - $$\overline{5... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14312 | Properties of quadratic equations and inequalities
Question Sample Titled 'Properties of quadratic equations and inequalities'
If the quadratic equation ${h}{\left({x}+{5}\right)}^{{2}}={k}$ , where ${h}$ and ${k}$ are constants, has distinct real roots, then which of the following may be true?
I. ${h}$ $>{0}$ and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14313 | How do you find the slope and intercept for y = -2?
Jun 27, 2018
$\therefore m = 0 , \text{y-intercept } = - 2$
It's a line parallel to the x-axis with y-intercept = -2
Explanation:
$y = - 2$
$\text{Slope - Intercept form of a line is } , y = m x + c$
$y = 0 \cdot x - 2$
$\therefore m = 0 , \text{y-intercept } ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14314 | The log-concavity of the q-derangement numbers of type B
The log-concavity of the q-derangement numbers of type B AbstractRecently, Chen and Xia proved that for n ≥ 6, the q-derangement numbers Dn(q) are log-concave except for the last term when n is even. In this paper, employing a recurrence relation forDnB(q)$\begi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14315 | # Absolute Convergence
In Probability,
$\sum\limits_{n=1}^{\infty} a_n$ converges absolutely if and only if $\sum\limits_{n=1}^{\infty} |a_n|$ converges.
Because $- \sum\limits_{n=1}^{\infty} |a_n| \leq \sum\limits_{n=1}^{\infty} a_n \leq \sum\limits_{n=1}^{\infty} |a_n|$,
If $\sum\limits_{n=1}^{\infty} a_n$ conver... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14316 | # Hausdorff dimension and critical exponent of words
What is the Hausdorff dimension of the subset $$S_c \subset [0,1]$$ of points such that the critical exponent of their binary expansion is $$c$$? It's clear that $$\dim_H S_{\infty}=1$$, but what can be said for $$c<\infty$$?. Also, what is $$\dim_H \cup_{c\in [2,\i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14317 | # Evaluate this integral
1. Jul 2, 2008
### jimen113
1. The problem statement, all variables and given/known data
$$\int$$$$^{5}_{0}$$ 1+2x$$^{3}$$
2. Relevant equations
3. The attempt at a solution
Integrating the function I get this: 1/2(x+x$$^{}4$$)
My answer when evaluating the limits =1/2(630)
2. Jul 2, 2008... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14318 | # mathlibdocumentation
data.rat.meta_defs
# Meta operations on ℚ #
This file defines functions for dealing with rational numbers as expressions.
They are not defined earlier in the hierarchy, in the tactic or meta folders, since we do not want to import data.rat.basic there.
## Main definitions #
• rat.mk_numeral... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14319 | Thread: Number of solutions for x^2+x=0 mod n
1. Number of solutions for x^2+x=0 mod n
(3) Consider the polynomial x^2 + x = 0 over Z/nZ.
(a) Find an n such that the equation has at least 4 solutions.
(b) Find an n such that the equation has at least 8 solutions.
I found (but didn't proove) this :
let a" be the numbe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14304 | # How likelyniFsatHomnoi10530annual Incerc_L_ compaunded weckly, how much fund IS am ,ccount earing contibuticnol s dexch Jwerk to 4 college fund
###### Question:
How likely niFsat Homnoi 10530annual Incerc_L_ compaunded weckly, how much fund IS am ,ccount earing contibuticnol s dexch Jwerk to 4 college fund tor your... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1297 | ## How to Make Limits in Calculus
Limits are values that we couldn’t reach. We are getting closer to limits but limit can not be reached. For instance if we have: f(x)=(x+1) / (x^2) it is not 0 because f(x)= 1/0 and this will be undefined because when you divide something with zero, the result will be undefined. If th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1298 | # Just more algebra
Algebra Level 3
What is the sum of all real solutions of the equation: $${ x }^{ 2 }+x+1=\frac { 156 }{ { x }^{ 2 }+x }$$
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1299 | # Residual Risk and Variance
I've solved part a, but am struggling with b and c. $$x_m$$ is the market portfolio vector, and I think $$T$$ should be a diagonal matrix. Any hints greatly appreciated!
• Yes, T is a diagonal matrix with $Var(\epsilon_i)$ in (i,i) and zeroes outside the main diagonal. – Alex C Apr 11 '19... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1300 | # Thread: Cubic equations / real roots etc.
1. ## Cubic equations / real roots etc.
Show that $x=-5$ is the only real root of cubic equation:
$x^3+3x^2-2x+40=0$
Can I do it this way?
(1) Fill for x=-5 and show that it equals zero.
(2) Divide factor (x+5) into the given cubic.This will give me a quadratic.
(3) Then ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1302 | Two classic Turing Machine simulation theorems
Patrick Fischer is one of the founders of complexity theory. He played a critical role in starting the field, in proving some of the early results, and in making theory as vibrant an area as it is today. We owe him a great deal of thanks. The picture is of his wife, Charl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1303 | # Interdisciplinary Applied Mathematics
Скачать в pdf «Interdisciplinary Applied Mathematics»
dE
~dR
0.
dE
dR +
d9
Neglecting any evaporation, the above equation states that at equilibrium, if the contact angle increases, then the radius must also change. Specifically, assuming a constant droplet volume, this i... |
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Text Solution
5(1)/(5)(1)/(25)(1)/(125)
Solution : Let 1st term be a and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1307 | # Find a Cartesian equation for the curve described by the given polar equation. {eq}r=3 \sin \theta {/eq}
## Question:
Find a Cartesian equation for the curve described by the given polar equation.
{eq}r=3 \sin \theta {/eq}
## Converting an Equation from Polar to Cartesian Coordinates:
To convert a polar equation... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1308 | # Solving a weird logarithmic equation
• Apr 6th 2011, 10:00 AM
ohms
Solving a weird logarithmic equation
This is really part of a Dynamics problem, but I'm running into a purely algebraic problem:
$12 = -(1/k)*ln(1-6k)$
How on earth do you manually solve for k?? Nothing I learned in pre-uni would be able to solve t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1309 | # Journal of theKorean Mathematical SocietyJKMS
ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
## Article
HOME ALL ARTICLES View
J. Korean Math. Soc. 2021; 58(4): 849-871
Published online July 1, 2021 https://doi.org/10.4134/JKMS.j200290
## Even $2$-universal quadratic forms of rank $5$
Yun-Seong Ji, Myeong Jae Ki... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1310 | ## Vector-valued Fourier multipliers on symmetric spaces of the noncompact type.(English)Zbl 0828.43009
Let $$X = G/K$$ be a noncompact Riemannian symmetric space and $${\mathfrak g} = {\mathfrak k} + {\mathfrak p}$$ be the Cartan decomposition of the Lie algebra $${\mathfrak g}$$ of $$G$$, where $${\mathfrak k}$$ is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1311 | # Tag Info
10
I'm going to make this more geometric and less algebraic. But it all translates to the algebro-geometric setting of divisors if you wish. You should think of a line bundle as a twisted product, and tensor product means that you concatenate or superimpose the twists. For example, thinking of the Möbius s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1301 | Sales Toll Free No: 1-855-666-7446
# Hyperbola Calculator
Top
Hyperbola is a curve with a set of points in a plan such that the distance from those points to the two fixed points are constant. Here, the two fixed lines are the foci.
If the coordinate points and value of a and b are given, here a and b are the points... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1304 | # One-way table largest proportion test
Suppose I've a one-way table with three categories (A, B and C), and let $p_a$, $p_b$ and $p_c$ be the true proportion of observations in each category, i.e. $p_a+p_b+p_c=1$. How can I conduct a statistical test on the hypothesis "$p_a$ is the largest among the three", i.e. $p_a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1305 | ### Home > GB8I > Chapter 9 Unit 10 > Lesson INT1: 9.3.1 > Problem9-70
9-70.
Graph the system of inequalities below.
$y ≥ 2x − 4$
$y < x$
2. Is $(0, 0)$ a solution to this system? How can you tell? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24384 | # What is the molarity of the protein solution if the osmotic pressure is 5.80 torr and...
###### Question:
What is the molarity of the protein solution if the osmotic pressure is 5.80 torr and the temperature is 23.1℃? Assume that the van't Hoff factor is 1.00
#### Similar Solved Questions
##### 4. Use the Jacobia... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24386 | # $\{0,1\}^n$ and $[0,1]^n$ notations
Does $\{0,1\}^n$ mean a $n$-length vector consisting of $0$s and/or $1$s?
Does $[0,1]^n$ ($(0,1)^n$) mean a $n$-length vector consisting of any number between $0$ and $1$ inclusive (exclusive)?
As a related question, is there a reference web page for all such definitions/notatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24387 | # Why is $22/7$ a better approximation for $\pi$ than $3.14$?
This seems counterintuitive, but $22/7$ is closer to $\pi$ than $3.14=314/100$ which has a significantly greater denominator.
Why is $22/7$ a better approximation for $\pi$ than $3.14$?
This has important implications: e.g. Should "$\pi$-day" be the $14^{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24388 | # Tagged: dimension of a vector space
## Problem 705
For a set $S$ and a vector space $V$ over a scalar field $\K$, define the set of all functions from $S$ to $V$
$\Fun ( S , V ) = \{ f : S \rightarrow V \} .$
For $f, g \in \Fun(S, V)$, $z \in \K$, addition and scalar multiplication can be defined by
$(f+g)(s) = f(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24389 | # zbMATH — the first resource for mathematics
On the future infimum of positive self-similar Markov processes. (English) Zbl 1100.60018
An $$\mathbb{R}_{+}$$-valued Markov process $$X=(X_{t})_{t\geq 0}$$ with càdlàg paths is said to be a (positive) self-similar process (PSSMP for short) if for every $$k>0$$ and every ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24390 | # expressing $\log(\left \lfloor x \right \rfloor!)$ in terms of zeta-zeros
let $\psi(x)$ be the second Chebyshev Function. By the definition of this summatory function, and the fundamental theorem of arithmetic, we have the identity: $$\log(\left \lfloor x \right \rfloor!)=\sum_{n=1}^{\infty}\psi\left(\frac{x}{n}\rig... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24391 | # Combinatorics and sets
1. Dec 2, 2016
### agargento
• Member warned that an attempt must be shown
1. The problem statement, all variables and given/known data
1. Given sample space U with n objects. A ⊂ U, and A has k objects. A ∩ B ≠∅
What are all the possibilities for B?
2. Relevant equations
2n - All possibil... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24392 | # Lesson 5
The Size of the Scale Factor
## 5.1: Number Talk: Missing Factor (10 minutes)
### Warm-up
This number talk encourages students to use structure and the relationship between multiplication and division to mentally solve problems involving fractions. It prompts students to think about how the size of facto... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24393 | # Predict the product(s), both major and minor, of the following reactions. Indicate stereochemistry where appropriate. MeOH/heat...
###### Question:
Predict the product(s), both major and minor, of the following reactions. Indicate stereochemistry where appropriate.
MeOH/heat а тюх меонтоа, а. NaOEt EtOH HCI
#### ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24394 | # arrangements of 10 people at 3 tables with 5 seats each
There are 3 tables that can each sit 5 people: one facing north, one facing south, and one facing east; 10 people are to be seated at random. a) How many different arrangements are possible to sit the 10 people? b) How many arrangements are possible if Joe and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24395 | # Homework Help: My IIT Problem
1. Apr 19, 2005
### Bitupon
Question:A body of mass is placed on a smooth horizontal surface. The mass of the body is decreased exponentially with disintegration constant λ. Assuming that the mass is ejected backwards with a relative velocity u.If initially the body
was at rest, the s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24396 | ## Nonlinear potential theory on metric spaces.(English)Zbl 1231.31001
EMS Tracts in Mathematics 17. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-099-9/hbk). xii, 403 p. (2011).
The authors give a detailed and comprehensive introduction to Newtonian (Sobolev) spaces (first six chapters) with applicati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24397 | ### I made an error in a proof
I’ve proved the following (for every funcoids $latex f$ and $latex g$):
Statement $latex \mathrm{up}\, (f \sqcap^{\mathsf{FCD}} g) \subseteq \bigcup \{ \mathrm{up}\, (F \sqcap^{\mathsf{FCD}} G) \mid F \in \mathrm{up}\, f, G \in \mathrm{up}\, g \}$ or equivalently: If $latex Z\in\mathrm{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24398 | MathSciNet bibliographic data MR2171800 (2006e:57016) 57M27 (20C15) Heusener, Michael; Porti, Joan Deformations of reducible representations of 3-manifold groups into ${\rm PSL}\sb 2(\Bbb C)$${\rm PSL}\sb 2(\Bbb C)$. Algebr. Geom. Topol. 5 (2005), 965–997. Article
For users without a MathSciNet license , Relay Station... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24399 | # Applications of Taylor polynomials
1. Mar 17, 2008
### coneyaw
1. The problem statement, all variables and given/known data
f($$\lambda$$) = $$\frac{8\pi hc\lambda ^{-5}}{e^{hc/\lambda kT}-1}$$
Is Planck's Law
where
$$h\ =\ Planck's\ constant\ =\ 6.62606876(52)\ \times\ 10^{-34}\ J\ s;$$
$$c\ =\ speed\ of\ light\ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19312 | # Conditional expectation on a filtered space [closed]
Let $\mathcal F_n$ be the $\sigma$-algebra generated by the intervals $((j - 1)2^{-n}; j2^{-n}], j = 1, 2, ... , 2^n$, on a probability space $(\Omega,\mathcal F, P)$, where $Ω$ is $[0, 1]$, $\mathcal F$ the Borel $\sigma$-algebra, and $P$ Lebesgue measure. Let $X... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19313 | # The Enclosure
An enclosure of length $1$ unit is constructed around two adjoining walls of unlimited length. It is made of $n \geq 2$ straight sections, referred to as an $n$-enclosure, designed so as to maximise the enclosed area $A_n(\omega)$, where $\omega \leq \pi$ is the angle formed by the walls.
We investigat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19314 | Challing Spherical Capacitor Problem
1. mopar969
201
The question is:
A spherical capacitor contains a solid spherical conductor of radius 0.5mm with a charge of 7.4 micro coulombs, surrounded by a dielectric material with er = 1.8 out to a radius of 1.2mm, then an outer spherical non-conducting shell, with variable ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19315 | How to prove $\int_{-\pi}^\pi (f(x))^2dx\le \int_{-\pi}^\pi (f'(x))^2dx$ [duplicate]
Let $f$ be $C^1$ in $[-\pi, \pi]$ and satisfies $\int_{-\pi}^\pi f(x)dx=0$, periodic boundary condition.
Then, prove that $\int_{-\pi}^\pi (f(x))^2dx\le \int_{-\pi}^\pi (f'(x))^2dx$.
I try to prove it by Parseval's equality(with $X_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19316 | # Likelihood ratio
Given a piece of evidence $$e_0$$ and two hypothsese $$H_i$$ and $$H_j,$$ the likelihood ratio between them is the ratio of the likelihood each hypothesis assigns to $$e_0.$$
For example, imagine the evidence is $$e$$ = “Mr. Boddy was knifed”, and the hypotheses are $$H_P$$ = ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19317 | # Multivariate Gaussian equivalent for a Gaussian integration identity.
For a one-dimensional x,
$$\int_{-\infty}^{\infty}x^{2}e^{-x^{2}}dx=\frac{1}{2}\int_{-\infty}^{\infty}e^{-x^{2}}dx$$
This can be shown through integration by parts. There is a good derivation of that here.
I'm wondering, does the same exist for... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19320 | Under the auspices of the Computational Complexity Foundation (CCF)
REPORTS > KEYWORD > BLUM-SHUB-SMALE MODEL:
Reports tagged with Blum-Shub-Smale model:
TR04-003 | 22nd December 2003
Pascal Koiran
Valiant's model and the cost of computing integers
Let $\tau(k)$ be the minimum number of arithmetic operations
require... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19322 | # If, in $\Delta\; ABC,\large\frac{1}{a+c}+\frac{1}{b+c}=\frac{3}{a+b+c}$ then the angle $C=$
$(a)\;30^{\circ} \quad (b)\;45^{\circ} \quad (c)\;60^{\circ} \quad (d)\;90^{\circ}$
(c) $60^{\circ}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19324 | 1. Dec 2, 2004
Problem
Newton's method gives an approximation to a root $$r$$ of the equation $$f(x)=0$$. From an initial approximation $$x_1$$ we obtain successive approximations $$x_2 , x_3 , \ldots ,$$ where
$$x_{n+1} = x_n - \frac{f(x_n)}{f^{\prime}(x_n)}$$
Use Taylor's Inequality with $$n=1$$, $$a=x_n$$, and $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19325 | #### Vol. 302, No. 2, 2019
Recent Issues Vol. 304: 1 2 Vol. 303: 1 2 Vol. 302: 1 2 Vol. 301: 1 2 Vol. 300: 1 2 Vol. 299: 1 2 Vol. 298: 1 2 Vol. 297: 1 2 Online Archive Volume: Issue:
The Journal Editorial Board Subscriptions Officers Special Issues Submission Guidelines Submission Form Contacts ISSN: 1945-58... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19326 | # Problem #1167
1167 An envelope contains eight bills: $2$ ones, $2$ fives, $2$ tens, and $2$ twenties. Two bills are drawn at random without replacement. What is the probability that their sum is \$$20$ or more? $\mathrm{(A)}\ {{{\frac{1}{4}}}} \qquad \mathrm{(B)}\ {{{\frac{2}{7}}}} \qquad \mathrm{(C)}\ {{{\frac{3}{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19327 | # How to calculate the volume between a hyperboloid and a paraboloid - Verification
I want to set the triple integral in cylindrical coordinates which represents the volume of the solid region beteen the hyperboloid $z=\sqrt{12+x^2+y^2}$ and the parabloid $z=8-x^2-y^2$.
What i have done:
The triple integral which re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19318 | User erick wong - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T13:47:13Z http://mathoverflow.net/feeds/user/23373 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/119678/sorting-two-paired-lists-of-real-numbers-to-minimize-consecutive-absolute-differe/119697... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19319 | Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!
# The coefficient of
Question:
The coefficient of $x^{7}$ in the expansion of $\left(1-x-x^{2}+x^{3}\right)^{6}$ is :-
1. – 144
2. 132
3. 144
4. – 132
Correct Option: 1
Solution: |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19321 | a factory can manufacture a maximum of 15,000 units in an 8 hour shift. The fixed cost per 8 hour shift, indepedent of the number of units produced, is $2000 and the variable cost is$2 per unit. What is the avg cost per unit if the factor is making 25,000 units(Give answers to 2 decimal points). |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6016 | ### Drawing Aces from a Deck
Q: What is the average number of cards you need to draw from a well shuffled deck of cards before you get an Ace?
The Moscow Puzzles: 359 Mathematical Recreations (Dover Recreational Math)
A:There is a lot of discussion on the web on using hypergeometric distributions for solving these k... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6017 | # How do you write and equation with Slope 2, y-intercept at 0?
Nov 12, 2016
$y = 2 x$
#### Explanation:
The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.
$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t ... |
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