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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18625 | Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3: 81
$\sqrt2 + 2$
Work Step by Step
$$\sqrt2 + \sqrt[3]8$$ $$=\sqrt2 + 2$$ As these are not like terms (one is a radical, the other is an integer) they can not be combined.
After you claim an answer you’ll have 24 hours to send in a draft.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18626 | +1.617.933.5480
# Q: emperical rule
10. Using the empirical rule, 95% of female heights should be between what two values? Either show work or explain how your answer was calculated.
Variable Gender N N* Mean SE Mean StDev Minimum Q1 Median
Height F 11 0 67.273 0.764 2.533 63.000 65.000 67.000
M 9 0 69.78 1.40 4.21 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18627 | # Problems on Divisors of Number
In this post we will have a look at the problems on the number of divisors of a number. We will see how to find the number of divisors of a number, number of even and odd divisors of a number, sum of divisors of a number and product of divisors of a number.
The key to solving problems... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18628 | Courses
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# A paper is in the form of a rectangle ABCD where AB = 22cm and BC = 14cm. A semi-circle portion with BC as diameter is cut off. Find the area of the remaining part. $\left( \pi =\dfrac{22}{7} \right)$
Last updated date: 20th Mar 2023
Total views: 3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18630 | # Kummer surface
Jump to: navigation, search
2010 Mathematics Subject Classification: Primary: 14J25 [MSN][ZBL]
An algebraic surface of the fourth order and class, reciprocal to itself, having 16 double points, of which 16 groups (each containing 6 points) are situated in one double tangent to the surface (i.e. a pl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18632 | Where results make sense
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# Topic: Set of uniqueness
###### In the News (Mon 22 Jul 19)
Wikinfo | Empty set In the axiomatization of set theory known as Zermelo-Fraenkel set theory, the existence of the empty set is assured by the axiom of empty set... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18634 | # ag.algebraic geometry – Hodge construction on intersection cohomology of toric varieties Answer
Hello pricey customer to our community We will proffer you an answer to this query ag.algebraic geometry – Hodge construction on intersection cohomology of toric varieties ,and the respond will breathe typical via documen... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18636 | Triple Integral in Cartesian, Cylindrical and Spherical
We have a conical solid bounded by the surface:
$z=2 \sqrt{x^{2}+y^{2}}$ and $z=2$
where $R=1$ and $H=2$
set up the integral in:
1) Cartesian (in the order $dzdydx$)
2) Cylindrical (in the order $dzdrd\theta$)
3) Spherical (in the order $d\rho d\phi d\theta... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18637 | # Fixed point and non-fixed point function
For constructing another proof I need two functions explicitly and therefore
I was wondering whether there exists a function that has nowhere a fixed point and a function that (maybe depending on the closed interval $[a,b] \subset \mathbb{R}$ where it is defined) has always ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18638 | # I Change of special relativity formulas?
Tags:
1. Feb 7, 2017
### Tahmeed
We know that while deriving the special theory of relativity formulas like Lorentz Transformation, Length contraction, Time dilation etc, we assume that there is an observer at each point of the space in a certain frame and all these observe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18639 | 5% level of Significance
Mean Ann Salary Standard deviation ($'000) ($'000) Trained Executive (n=13) 15 8 Untrained executives (n=15) 48 6 Conduct a teat, at the 5% level of significance, to determine the conclusion that was reached by the consulting firm.
Recent Questions in Time Series Analysis
Submit Your Questio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18629 | # Wikipedia talk:WikiProject Mathematics Information
https://en.wikipedia.org/wiki/Wikipedia_talk:WikiProject_Mathematics
Main page Discussion Content Assessment Participants Resources
WikiProject Mathematics (Rated Project-class)
.mw-parser-output .portal{border:solid #aaa 1px;padding:0}.mw-parser-output .portal.tl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18631 | # fundamental theorem of calculus part 1
Step 1 : The fundamental theorem of calculus, part 1 : If f is continuous on then the function g is defined by . The Fundamental Theorem of Calculus, Part 2 is a formula for evaluating a definite integral in terms of an antiderivative of its integrand. The Fundamental Theorem o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18635 | ×
# Diophantine Solutions
Number Theory Level 3
How many ordered pairs of non-negative integers $$(a,b)$$ are there such that $$2a + 3b = 100$$?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18633 | #### On the Non-Monotonic Description Logic $\mathcal{ALC}$+T$_{\mathsf{min}}$
##### Oliver Fernández Gil
In the last 20 years many proposals have been made to incorporate non-monotonic reasoning into description logics, ranging from approaches based on default logic and circumscription to those based on preferential... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_640 | # Square root of two
The square root of two, denoted $\sqrt{2}$, is the positive number whose square equals 2. It is approximately 1.4142135623730950488016887242097. It provides a typical example of an irrational number.
## In Right Triangles
The square root of two plays an important role in right triangles in that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_641 | # zbMATH — the first resource for mathematics
A copolymer near a selective interface: variational characterization of the free energy. (English) Zbl 1330.60116
A polymer is a chain of bonds (called monomers) that forms a path which describe a molecule. In the study of polymers there is a function $$H_{n}$$, called the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_643 | Similar Solved Questions
9. [8 points] Let Aand() Find all the values of c and d for which the equation Ax b is inconsistent.(II} Find &ll tna values of for which the matrix / is invertible:
9. [8 points] Let A and () Find all the values of c and d for which the equation Ax b is inconsistent. (II} Find &ll tna values ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_644 | # How do you write the summation of a summation?
Like how should you do it and how do you manipulate it algebraically?
$$S = \{1/2, 1/3, \ldots, 1/n\}$$
$$Q = \{S(2), S(3), \ldots, S(n)\}$$
-
Are you looking for how to write it or how to solve it? – Mike Nov 16 '12 at 18:29
I just remembered, a sum very closely re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_645 | # For holomorphic functions, if $\{f_n\}\to f$ uniformly on compact sets, then the same is true for the derivatives.
Let $\Omega$ be an open subset in $\mathbb{C}$. Let $\{f_n\}$ be a sequence of holomorphic functions on $\Omega$ such that $f_n\to f$ pointwise and converges uniformly on any compact subset $K\subseteq ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_647 | # Deriving person-based prominence effects: A set-based theory of AGREE
Date
Oct 9, 2020
Event
Syntax Brown Bag
Location
New York University (Virtual)
Person-based prominence effects occur when certain person categories or features are privileged by the grammar. This includes the PCC, split-ergativity, direct-inverse... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_649 | # Simple trig identification equation question which i can not answer
1. May 11, 2007
### i-love-physics
1. The problem statement, all variables and given/known data
Solve for X
2. Relevant equations
2sin^2x - cosX - 1 = 0
3. The attempt at a solution
I have gone in this order
I turned 2sin^2x into 1 - cos2x
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_651 | # Literature Request: Finite Dimensional “Approximations” of Linear Operators
I am interested in finding literature pertaining the problem posed by this question, which is the degree to which an operator $A$ on an infinite dimensional (separable) Hilbert $X$ space can be "approximated" by matrices $A_n$ corresponding ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_653 | ## Elementary Algebra
If the solution set is the $\text{null}$ set, that means that the solution set is empty, and so it does not have any solutions. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_654 | ## Still more Brownian motion
Let ${B}(t)$ be a Brownian motion and $0\leq{s}<{t}.$ Show that the conditional distribution of ${B}(s)$ given ${B}(t)=b$ is Normal and give its mean and variance. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_655 | • # question_answer The neutral temperature of a thermocouple is $300{}^\circ C$. What is the inversion temperature, if the temperature of cold junction is$10{}^\circ C$? A) $590{}^\circ C$ B) $610{}^\circ C$ C) $310{}^\circ C$ D) $290{}^\circ C$
From the relation ${{T}_{i}}=2{{T}_{n}}-{{T}_{0}}$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_642 | # nLab diagonal of a bisimplicial set
###### Definition
(diagonal)
For $X_{\bullet,\bullet}$ a bisimplicial set, its diagonal is the simplicial set that is the precomposition with $(Id, Id) : \Delta^{op} \to \Delta^{op} \times \Delta^{op}$, i.e. the simplicial set with components.
$d(X)_n = X_{n,n} \,.$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_646 | SEARCH HOME
Math Central Quandaries & Queries
Question from mr., a teacher: Simplify the inequality √x>x and represent on a number line
Hi,
Since $\sqrt{x}$ must be a real number, $x \ge 0.$ But $x = 0$ does not satisfy the inequality so $x > 0.$
Square both sides of the inequality, simplify and factor.
If you ne... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_650 | ### Sidebar
bsc:notes_of_mathematical_method
# Notes of Mathematical Method
Notes of the Mathematical Method written by by S.M. Yusuf, A. Majeed and M. Amin and published by Ilmi Kitab Khana, Lahore.
We always try our best to add new solutions of more chapters as we are able to manage. If you have notes which you t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_652 | # 10th Class Mathematics Polynomials Polynomials
Polynomials
Category : 10th Class
Polynomials
Polynomials are algebraic expressions having finite terms. The expression ${{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+{{a}_{n-2}}{{x}^{n-2}}+---+{{a}_{1}}x+{{a}_{0}}$ is called the polynomial of degree n, where ${{a}_{n}}\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_648 | What's happening, "dude?" I heard that you some help with your math class. It just so happens "my dog" that I have the "pro skills" needed to help you. Now, I know that math isn't considered "wicked," or "sweet", but I am going to show you how math can be both "wicked," and "sweet." I realize that this may seem "awkwar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24064 | # Definition:Increasing/Sequence/Real Sequence
## Definition
Let $\sequence {x_n}$ be a sequence in $\R$.
Then $\sequence {x_n}$ is increasing if and only if:
$\forall n \in \N: x_n \le x_{n + 1}$
## Also known as
Some sources refer to such a sequence as (monotone) non-decreasing.
## Examples
### Example: $\seq... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24065 | Math Help - Homogeneity and Proving a Function's Homogeneity
1. Homogeneity and Proving a Function's Homogeneity
Hi.
I am presented with a function for which I know is homogeneous of degree 1. I'm having trouble proving it, however.
The function is:
$f(x,y) = x + ye^y^/^x .$
I also have to prove that if this is h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24066 | ## Question on Actual Quiz 2
$K = \frac{k_{forward}}{k_{reverse}}$
Chin_Alyssa_3I
Posts: 34
Joined: Fri Jul 22, 2016 3:00 am
### Question on Actual Quiz 2
I was wondering for number six on the actual quiz 2 we took in our discussion, why Step 1 was the slow step and not Step 2?
Last edited by Chin_Alyssa_3I on Sun ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24067 | # An Old Problem
Geometry Level 4
There is a rectangle with $$AB=4$$ and $$AD=3$$. Two circles are inscribed in the triangles and tangent to all sides of the triangle. Find the length of segment $$JK$$.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24068 | # If a problem is not in NP, prove that every NP problem can be efficiently reduced to it
I understand that an NP-hard problem is a problem X such that any problem in NP can be reduced to X in polynomial time.
Does there exist a problem that is hard to solve but problems in NP cannot be reduced to it in polynomial ti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24069 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS
Mosc. Math. J.: Year: Volume: Issue: Page: Find
Mosc. Math. J., 2014... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24071 | # What are the zero(s) of x^2 + 2x + 10 = 0?
Nov 3, 2015
There are no real solutions.
#### Explanation:
To solve a quadratic equation $a {x}^{2} + b x + c = 0$, the solving formula is
${x}_{1 , 2} = \setminus \frac{- b \setminus \pm \setminus \sqrt{{b}^{2} - 4 a c}}{2 a}$
In your case, $a = 1$, $b = 2$ and $c = 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24072 | A efficient way to preprocess large text file in Linux file system
Linux commands like sed, tr, works efficiently on text processing, here is a common way to strip text in a large text file.
cat somefile.txt | sed -e “s/$$[.\!?,’/()]$$/ \1 /g” | tr “[:upper:]” “[:lower:]” > reprocessed.txt
Three ways of rename colu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24073 | +0
# similar triangles
0
50
1
Triangle HIJ is similar to triangle DFG. Find the value of x, y, and z.
Mar 3, 2021
#1
+56
+2
The angle will still be the same, no matter what size, so z is still 34 degrees.
Notice that 9 and 5 are the only measurements that stay.
To find the proportion (idk if thats the right wo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24074 | # Some questions about Integral Equation
I am trying to solve the finite Hilbert transformation like the following form $f(x)= \frac{1}{π} \int_{-1}^{1} \frac{g(y)}{(y-x)}dy$ the given function f(x)=1 and I want to solve the g(x) I know there is no direct way to solve the integral equation in Mathematica. Moreover, I ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24075 | # Math Help - Operator norm
1. ## Operator norm
I'm a bit confused about what an operator norm is.
Can someone explain it to me using a simple matrix?
What value would you use for the Euclidean norm (x) when it is multiplied by A? (before taking the supremum).
2. I'm not sure which definition you're using for the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24076 | Article Contents
Article Contents
# Varying domains: Stability of the Dirichlet and the Poisson problem
• For $\Omega$ a bounded open set in $\R^N$ we consider the space $H^1_0(\bar{\Omega})=${$u_{|_{\Omega}}: u \in H^1(\R^N):$ $u(x)=0$ a.e. outside $\bar{\Omega}$}. The set $\Omega$ is called stable if $H^1_0(\Omega)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24077 | My Math Forum Clarification for a 'counting' problem.
Algebra Pre-Algebra and Basic Algebra Math Forum
July 4th, 2010, 07:10 AM #1 Newbie Joined: Jul 2010 Posts: 1 Thanks: 0 Clarification for a 'counting' problem. 1. In how many ways can you wear 4 different rings on 5 fingers of your hand, such that you should b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24078 | # Question on openness in the topology generated by a basis
As some context, a question I posted Munkres exercise 13.1 was closed as a duplicate, but I'm not interested just in solving Munkres 13.1, but in a verification of whether my understanding of a basis for a topology is correct. I'm going to try to reduce the s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24079 | Revision history [back]
The methods operator and operands for symbolic expressions are what you are looking for.
sage: b, h, x = var('b h x')
sage: expr = x * b * cos(x^3) * sin(b)+b * cos(x)+h * sin(x)
sage: expr.operator() |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24070 | # ?Where does the integral went wrong
$$\int_{-a}^{a}\int_{0}^{b\cdot \sqrt{1-\frac{x^2}{a^2}}}2x^2ydydx=\int_{-a}^{a}2b^2(x^2-x^4/a^2) dx =2b^2(2/3a^2-2a^5/5a^2)=\frac{8}{15}a^3b^2$$ But the actually answer in $\frac{4}{15}a^3b^2$. Which step did I go wrong?
• $y$ integrates to $y^2/2$, eliminating the original fact... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16481 | # Lyapunov Exponent of Rank-One Matrices: Ergodic Formula and Inapproximability of the Optimal Distribution
@article{Altschuler2020LyapunovEO,
title={Lyapunov Exponent of Rank-One Matrices: Ergodic Formula and Inapproximability of the Optimal Distribution},
author={Jason M. Altschuler and Pablo A. Parrilo},
journal={S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16482 | # What is the molarity of a solution contains .250 moles of KCl in 8.00 L of solution?
##### 1 Answer
May 25, 2017
$\text{Molarity"="Moles of solute"/"Volume of solution} \cong 0.03 \cdot m o l \cdot {L}^{-} 1$
#### Explanation:
And thus $\text{Molarity} = \frac{0.250 \cdot m o l}{8.00 \cdot L} \cong 0.03 \cdot m o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16483 | # Prove the relation as an equivalence relation
Consider the infinite set of all English strings of all possible lengths.
Two strings $A$ an $B$ are said to be in a relation $\mathrel{R}$ iff:
• $A$ is equal to $B$ or
• Lets divide $A$ into two parts of equal lengths: $a1,a2$ and $B$ into parts $b1,b2$ likewise. Now ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16484 | # Is following observation on Ladner's theorem correct?
Suppose $NP\subseteq DTIME[n^{f(n)}]$ where $f(n)$ is any function satisfying $\omega(1)$ then is it true $P=NP$ holds?
Ladner's theorem states infinite time hierarchy between $P$ and $NP$. That is there are $NP$ problems in $DTIME[n^{g(n)}]$ for any $g(n)$ such... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16485 | (+603).4257.6699
# crispy tea smoked chicken
With a little thinking we can easily figure out that, C = Ï x 4.3m = 13.51m (to 2 decimal places). Solution Using the knowledge that the diameter is 4.3m on the diagram and knowing that C = Ïd, we can calculate the circumference. Then we divide both sides by the circumfe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16488 | Algebra
# Rational Root Theorem - Polynomial Zeros
What is the sum of all the rational roots of $$x^3 - 9x^2 + 3x -27 =0$$?
If $$a$$ is the sum of all real roots of the polynomial $7x^3+6x^2+20x-3,$ what is the value of $$245a$$?
If $$a$$ is the sum of all real roots of the polynomial $7x^3-8x^2+15x-2,$ what is the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16489 | ###### Example2.11.10
Simplify the following expressions using the rules of exponents:
1. $$-2t^3\cdot 4t^5$$
2. $$5\left(v^4\right)^2$$
3. $$-(3u)^2$$
4. $$(-3z)^2$$
Explanation
in-context |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16493 | Full Text: <2215>
Summary: <1395>
CLC number: TV3
On-line Access: 2014-03-04
Revision Accepted: 2013-11-15
Crosschecked: 2014-02-12
Cited: 1
Clicked: 6973
Citations: Bibtex RefMan EndNote GB/T7714
Journal of Zhejiang University SCIENCE A 2014 Vol.15 No.3 P.208-218 http://doi.org/10.1631/jzus.A1300244
A s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16494 | Question
Vectors
(1 point) All vectors and subspaces are in R^n
Check the true statements below:
\text { A. In the Orthogonal Decomposnion Theorem, each lerm } \hat{y}=\frac{y \cdot u_{1}}{u_{1} \cdot u_{1}} u_{1}+\ldots+\frac{y \cdot u_{p}}{u_{p} \cdot u_{p}} u_{p} \text { is itselt an orthogonal projection of } y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16495 | GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 06 Jul 2020, 15:43
### 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 Pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16480 | ## How Pop-Up Cards and Books Work
Through the Interesting Esoterica postings on Mathstodon I learned of this neat post. Joseph O’Rourke published this year Pop-Up Geometry: The Mathematics Behind Pop-Up Cards. I haven’t got the book (yet), but O’Rourke has a page with animated GIFs showing how basic shapes work. The ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16486 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Oct 2018, 20:44
### GMAT Club Daily Prep
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16490 | # Extracting Uncertainty from Numerical Solution
I am performing numerical and uncertainty analysis for an oblique shockwave angle function:
$$\tan(\delta)=\frac{2}{\tan(\theta)}\frac{M^2\sin^2(\theta)-1}{M^2(\gamma+\cos(2\theta))+2}$$
where $$\delta$$ is deflection angle, $$\theta$$ is shock angle, M is mach number... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16491 | # Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers
@article{Komatsu2015IncompletePN,
title={Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers},
author={Takao Komatsu and K{\'a}lm{\'a}n Liptai and Istv'an MezHo},
journal={arXiv: Number Theory},
year={2015}
}
• Pu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16492 | # Evaluate the integral $\int \frac{1}{\sqrt[3]{(x+1)^2(x-2)^2}}\mathrm dx$
What substitution is useful for this integral?
$$\int \frac{1}{\sqrt[3]{(x+1)^2(x-2)^2}}\mathrm dx$$
Substitutions $u=x^{\frac{2}{3}},u=(x+1)^{\frac{2}{3}},u=(x-2)^{\frac{2}{3}}$ are not working.
Can't find useful trigonometric substitution... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16487 | # Implicit differentiation: two answers resulted
Could anyone explain that I got two different answers for this question: find $$dy/dx$$ of $$\frac{x}{x+y}-\frac{y}{x}=4$$.
1. using quotient rule:
$$\frac{x+y-(1+dy/dx)x}{(x+y)^{2}}-\frac{x\frac{dy}{dx}-y}{x^{2}}=0$$
$$\frac{y}{(x+y)^{2}}-\frac{x}{(x+y)^{2}}\frac{dy}{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5600 | # A firm has L units of labor at its disposal. Its output arethree different commodities. Producing x, y, and z
###### Question:
A firm has L units of labor at its disposal. Its output are three different commodities. Producing x, y, and z units of these commodities requires αx2 , βy2 , and γz2 units of labor, res... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5601 | # Is a subset of a linearly independent set in a vector space linearly independent?
The empty set is linearly independent. Also, $S_1$ is linearly independent if $S_1 = S_2.$ Suppose $v_1, \ldots, v_n \in S_2.$ Then $a_i = 0$ for all $i$ in $a_1v_1 + \ldots + a_nv_n = 0.$ Now consider $a_1v_1 + \ldots a_{n -1}v_{n-1}=... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5602 | # A car travels to the left at a steady speed for a few seconds, then brakes for a stop sign.
###### Question:
A car travels to the left at a steady speed for a few seconds, then brakes for a stop sign. Draw a complete motion diagram of the car.
#### Similar Solved Questions
##### Bonus question (4 points): Conside... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5603 | ## Bernoulli
• Bernoulli
• Volume 21, Number 2 (2015), 1047-1066.
### Functional partial canonical correlation
#### Abstract
A rigorous derivation is provided for canonical correlations and partial canonical correlations for certain Hilbert space indexed stochastic processes. The formulation relies on a key congrue... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5604 | # Cyclic groups
## Homework Statement
Let H be a finite abelian group that has one subgroup of order d for every positive divisor d of the order of H. Prove that H is cyclic
## Homework Equations
We want to show H={a^n|n is an integer}
Last edited:
## Answers and Replies
Related Calculus and Beyond Homework Help... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5606 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5607 | # Why is this function not differentiable at 1 and -1?
I'm solving a small calculus problem, which ask me to compute the following limits:
$$\lim_{x\,\to\,-1^-} \frac{f(x) - f(-1)}{x+1}$$
and
$$\lim_{x\,\to\,1^+}\frac{f(x) - f(1)}{x-1}.$$
Given that
$$f(x) = x + \sqrt{x^2 - 1},$$
I get $\infty$ as the result to ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5608 | # E.S. Polovinkin. On the continuous dependence of trajectories of a differential inclusion on initial approximations ... P. 174-195
Vol. 25, no. 1, 2019
We consider a differential inclusion with an unbounded right-hand side $F$ in the case when this right-hand side satisfies conditions of measurable pseudo-Lipschitz... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5609 | # Sequences and series question.
• October 11th 2010, 02:41 AM
SeaNanners
Sequences and series question.
Hi guys, rhe following is a question that I busted my brains over, but could not get, so help would be greatly appreciated.
And I don't know how to properly use latex, so please bear with me.
Q) A sequence satisf... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5612 | Lemma 22.7.5. Let $(A, \text{d})$ be a differential graded algebra. Let $L_1 \to L_2 \to \ldots \to L_ n$ be a sequence of composable homomorphisms of differential graded $A$-modules. There exists a commutative diagram
$\xymatrix{ L_1 \ar[r] & L_2 \ar[r] & \ldots \ar[r] & L_ n \\ M_1 \ar[r] \ar[u] & M_2 \ar[r] \ar[u] ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5613 | ## Winter School, Jan 27 – Feb 3, 2018
The Winter School in Abstract Analysis, section Set Theory & Topology will take place between Jan 27th and Feb 3rd 2018 in Hejnice, Czech Republic.
Tutorial speakers for the Winter School 2018 are:
Leandro Aurichi
Joel David Hamkins
Itay Neeman
The registration will open in Oc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5614 | Journal of Siberian Federal University. Mathematics & Physics
RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Archive Impact factor Guidelines for authors Search papers Search references RSS Latest issue Current issues Archive issue... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5605 | # Compactifications of varieties with small complement
Let $X$ be a smooth variety over an algebraically closed field $k$. If it makes things easier, $X$ may be assumed to be quasi-projective. By Nagata (or quasi-projectivity) there exists a proper variety $\bar{X}$ which contains $X$ as a dense open subvariety, and b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5611 | # How would you reverse this double-variable equation?
So I have an example function:
$$f(a,b) = \frac 12 ((a+b)^2 + 3a + b)$$
It "encodes" two variables into one unique number.
Assuming a and b are always positive, how would you write a function to find two input variables of the "encoding" function? So basically,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5610 | Language/Lingua
Books 3054 · Book News · Most clicked · Least clicked
Search for a Book
## Notes on the Statistical Mechanics of Systems with Long-Range Interactions
Language:
Author: David Mukamel
Format: Ps, Pdf, TeX
Year: 2009
Category: Statistical Mechanics
Pages: 33
Clicks: 2143
Description
Thermodyna... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5615 | # Question #5155e
Sep 12, 2017
$\left\{- \frac{a}{2} , a , 2 b\right\}$
#### Explanation:
We have: $5 \left(x - a\right) \left(2 b - x\right) \left(2 x + a\right) = 0$
Dividing through by $5$:
$R i g h t a r r o w \left(x - a\right) \left(2 b - x\right) \left(2 x + a\right) = 0$
Using the null factor law:
$R i ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12160 | ## glucy7 Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 12, 3, 3/4, ... one year ago one year ago
1. aarchul4
divides by 4..? converges
2. TuringTest
to what?
3. glucy7
it either coverges by 64, -4080 or 0
4. TuringTest
given the choices, and the fact that the number... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12161 | # Projective connection
In differential geometry, a projective connection is a type of Cartan connection on a differentiable manifold.
The structure of a projective connection is modeled on the geometry of projective space, rather than the affine space corresponding to an affine connection. Much like affine connectio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12162 | Shaquille 'O' Neal is a $60$% career free throw shooter, meaning that he successfully makes $60$ free throws out of $100$ attempts on average. What is the probability that he will successfully make exactly $6$ free throws in $10$ attempts?
1. $0.2508$
2. $0.2816$
3. $0.2934$
4. $0.6000$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12163 | # Element by Element Multiplication
Element by element multiplication (the dot product) .* works differently from Array multiplication * be careful not to confuse the two.
# Multiplication of Scalars
Assuming one buys 5 pens and the price of a pen is £2. Then the amount of cash spent on pens is £10
5 pens .* £2 = 5... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12165 | # Is $A_\mathfrak{p}/\mathfrak{q}_\mathfrak{p}$ an integral domain and is $(A/\mathfrak{q})_\mathfrak{p}$ a ring?
Let $$A$$ be a commutative ring with identity and $$\mathfrak{q}\subset\mathfrak{p}$$ two prime ideals of $$A$$. I am trying to determine whether $$A_\mathfrak{p}/\mathfrak{q}_\mathfrak{p}$$ is an integral... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12166 | # Page:Carroll - Game of Logic.djvu/84
3. No ${\displaystyle x}$ are ${\displaystyle m}$. i.e.
4. Some ${\displaystyle m^{\prime }}$ are ${\displaystyle y}$. i.e.
5. All ${\displaystyle y^{\prime }}$ are ${\displaystyle m^{\prime }}$. i.e. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12167 | The above image is from Khan Academy. I am confused by the fact that the text says "$$x=t$$". The top expression has the notation $${x\to t}$$ so how can $$x=t$$ at the same time. $$x$$ approaching $$t$$ is not the same thing as $$x$$ being equal to $$t$$.
I am also confused by this:
The correct answer ends up being ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12168 | # Volume of solid of revolution
Find the volume of the solid generated by rotating the region bounded by $y=3x^2$, y=3, $y=0$, $x=1$, and $x=2$ about $x-$axis.
Answers can be viewed only if
1. The questioner was satisfied and accepted the answer, or
2. The answer was disputed, but the judge evaluated it as 100% corr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12171 | # The value of $i^i$ - is my method contradictory? [duplicate]
Consider Euler's Formula: $$e^{i\theta}=cos(\theta)+isin(\theta)$$ Using this, the value of $i$ is $e^{{i\pi}/2}$. Following this: $$i^i=e^{i^2\pi/2}$$ The accepted principal result of this is that $$i^i=e^{-\pi/2}$$ I appreciate that the result given is o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12172 | Research
# Energy decay and nonexistence of solution for a reaction-diffusion equation with exponential nonlinearity
Huiya Dai12* and Hongwei Zhang2
Author Affiliations
1 School of Mathematics and Statistics, Xi’an Jiaotong University, Xianning Road, Xi’an, P.R. China
2 Department of Mathematics, Henan University ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12175 | # Find the closest fraction
Level pending
Let $$\dfrac{m}{n}$$ represent the fraction closest to $$\dfrac{3}{7}$$ but not equal to $$\dfrac{3}{7}$$with $$m,n\in\mathbb{Z}$$ and $$n<100$$. Find $$m+n$$.
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12164 | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 27 Oct 2016, 01:05
### 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_12170 | # How to show that $\int\limits_1^{\infty} \frac{1}{x}dx$ diverges(without using the harmonic series)?
I was reading up on the harmonic series, $H=\sum\limits_{n=1}^\infty \frac{1}{n}$, on Wikipedia, and it's divergent, as can be shown by a comparison test using the fact that
$H=1+\frac{1}{2}+(\frac{1}{3}+\frac{1}{4}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12173 | Please come by our new location in Melody Square Mall Street Suite 17 in North Wilkesboro, where we provide computer repair services, computer consulting, smartphone repairs, product recommendations, and a welcoming environment. If you have any questions, please contact us at 336-566-8557 today. Hope to see you soon.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12174 | # Tag Info
Accepted
• 33k
1 vote
Accepted
• 2,552
Accepted
### When two systems of forces acting on a rigid body are equivalent?
The equations of motion can be thought of given a specified motion, provided by the translation acceleration vector of the center of mass $\boldsymbol{a}_C$ and the rotation acceleration... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12169 | # siunitx version 1.2
I’ve just uploaded `siunitx` version 1.2 to CTAN. This adds the macros `\numrange` and `\SIrange` to the package, so that you can write `\SIrange{1}{10}{\second}` and get out ‘1 s to 10 s’ (or the less correct ‘1 to 10 s’, if you want). |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3872 | # Coefficent of an equation
I am suppose to find the coefficent of x^2 in this equation
after doing the calculation I ended up with this
but that is the wrong answer what is that I am missing?
-
You only want the coefficient of $x^2$. So don't bother with the rest. And keep it letters as long as possible, it is a l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3874 | # Projectiles - person kicks a soccer ball at an angle
Coco12
Projectiles -- person kicks a soccer ball at an angle
## Homework Statement
a) A person kicks a soccer ball at an angle and sends it in the air. What angle of projection between 0 and 90 degrees produces the greatest initial vertical component? Greatest i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3876 | # If $x'(t)$ is bounded for $x\geq0$ show that $\lim_{t\to\infty}{x(t)}=0$
Assume that $x(t)$ is nonnegative for $t\geq0$ and $\int_0^\infty{x(t)\;dt}<\infty$. If $x'(t)$ is bounded for $x\geq0$, then show that $\lim_{t\to\infty}{x(t)}=0$.
I started with contradiction taking the limit is finite and strictly positive.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3877 | # Hjelmslev's Theorem:What is this about? A Mathematical Droodle
(The black segments in the applet can be dragged by their end points or by any interior point.)
Explanation
The applet illustrates what's known as Hjelmslev's theorem, named after the notable Danish mathematician Johannes Hjelmslev (1873-1950):
If two... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3878 | # Minterms, Maps, and Simplification
Tom Kelliher, CS 240
Jan. 30, 2012
### Announcements
How to order the rows of a truth table: 0 at the top; at the bottom. Example: two-input AND.
### Assignment
Written assignment: Some of the Boolean manipulation problems are tricky -- start early.
### From Last Time
Logic ... |
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