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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18284 | Tab Content
• Yesterday, 23:08
I disagree with this...I think it is the societal attitude that it's okay to fail at math that is part of the problem. Someone says to their friends,...
5 replies | 36 view(s)
• Yesterday, 22:23
If we have 2000 people, 300 of which are women, then the probability that all 300 women will b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18285 | University Calculus: Early Transcendentals (3rd Edition)
$f\circ g\circ h\ =\ \frac{8-3x}{7-2x}$
$f(x)=\frac{x+2}{3-x}$ $g(x)=\frac{x^2}{x^2+1}$ $h(x)=\sqrt{2-x}$ $f\circ g\circ h=f(g(h(x)))$ First evalulate the composition of the inner two function as: $g\circ h=g(h(x))$ $=\frac{(\sqrt{2-x})^2}{(\sqrt{2-x})^2+1}$ Sim... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18286 | [SOLVED]Converting r=4+4cos(theta) into rectangular form
Raerin
Member
So how do I convert r=4+4cos(theta) into rectangular form?
I know that r^2 = x^2+y^2 and that rcos(theta) = x.
Would the start of the solution be:
sqrt(x^2 + y^2) = 4+4x
If yes, I don't know where to go from there.
Klaas van Aarsen
MHB Seeker... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18287 | # One Puzzling Logic, Two Approximations… and a Bonus. Helsinki (v), 5/20
For the Helsinki Logic Seminar, I gave (virtually) the lecture
One Puzzling Logic, Two Approximations… and a Bonus.
Abstract: The puzzling logic (called $L^1_\kappa$ for $\kappa$ a singular strong limit cardinal) I will speak about was introdu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1088 | # Proof of a corollary about associativity of (differential) convolution operator
I m working on the proof the following corollary for ages... I would appreciate any help!!
Cor: Let $h : [0, \infty ) \rightarrow \mathbb{R}$. We define the convolution operator $*$ for the functions $h*m$ and $h*F$ by: $$(h*m)(t):=\int... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1089 | # zbMATH — the first resource for mathematics
Two sharp inequalities for power mean, geometric mean, and harmonic mean. (English) Zbl 1187.26013
Summary: For $$p\in\mathbb R$$, the power mean of order $$p$$ of two positive numbers $$a$$ and $$b$$ is defined by $$M_p(a,b)= ((a^p+b^p)/2)^{1/p}$$, $$p\neq 0$$, and $$M_p(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1090 | # What is the difference between trial and test functions in the context of numerical integration?
I know that in, for example, Galerkin's method we try to approximate the solution via a sum
$$\sum_{j=1}^{n} u_{j} a\left(e_{j}, e_{i}\right)$$
with $$a\langle \cdot ,\cdot \rangle$$ a bilinear form and $$u_j$$ are the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1091 | # Good evening, I would like to get help with the following questions. Please show the procedure/ work 1 answer below »
Good evening, I would like to get help with the following questions. Please show the procedure/ work done. Thanks in advance.
7. Find the eigenvalues and eigenvectors for the matrices A and B below:... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1092 | Last edited by Grorisar
Saturday, July 25, 2020 | History
4 edition of Aspects of semidefinite programming found in the catalog.
# Aspects of semidefinite programming
## by Etienne de Klerk
Written in English
Edition Notes
Includes bibliographical references and index.
Classifications The Physical Object Stateme... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1093 | # Working with binomial identieies.
$$\binom{r}{k}=\frac{r}{r-k}\binom{n-1}{k}$$
I'm having problems proving this. However, here is my reasoning:
when factoring out an r you get
$$\frac{r*(r-1)!}{(r-k)!k!}$$
$$\frac{r}{r-k}*\frac{(r-1)!}{(r-k-1)!k!}$$
Is this proper reasoning?
That looks good. I think there is a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1094 | # The Log-Generalized Lindley-Weibull Distribution with Applications
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## Transcription
2 Journal of Data Science 13(215), The Log Generalized Lindley-Weibull Distribution with Application Broderick O. Oluyede 1, Fedelis Mutiso 2, Shujiao Huang 3 1 Department of Mathe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1095 | # Voltage: Definition, Equation, Units (w/ Examples)
Print
Imagine water flowing downhill through a system of pipes. Your intuition should tell you what factors would make the water flow faster and what would make it flow slower. The higher the hill, the faster the current will be, and the more obstructions in the pi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1096 | Geometry Hahn Banach theorem for weak* topology
We have geometric Hahn Banach theorem in standard functional analysis course, saying that there exists a separating hyperplane separates two special sets in usual topology. However this theorem can be used for some special sets in weak* topology. This is the problem 9 in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1097 | ## Geometry: Common Core (15th Edition)
$PQR$ ~ $XYZ$ The scale factor is $\frac{3}{2}$ or $3:2$.
Let's first identify all the pairs of congruent angles: $\angle P ≅ \angle X$ $\angle Q ≅ \angle Y$ $\angle R ≅ \angle Z$ Now, we can make a similarity statement using the corresponding angles to name the figures: $PQR$ ~... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1098 | nLab formal category theory
Contents
category theory
Applications
2-category theory
2-category theory
Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
Contents
Idea
The idea of formal category theory is to han... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1099 | # Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f'(x)$ is continuous and $|f'(x)|\le|f(x)|$ for all $x\in\mathbb{R}$
Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f'(x)$ is continuous and $|f'(x)|\le|f(x)|$ for all $x\in\mathbb{R}$. If $f(0)=0$, find the maximum value of $f(5)$.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1100 | ## Algebra: A Combined Approach (4th Edition)
$\frac{2}{5}$
$\frac{8}{20}$ divided by 4 on the top (numerator) and bottom (denominator) equals $\frac{2}{5}$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1101 | # Solution: A mixture of He and O2 is placed in a 4 L flask at 300 K. Th...
###### Question
A mixture of He and O2 is placed in a 4 L flask at 300 K. The partial pressure of the He is 2.7 atm and the partial pressure of the O2 is 1.4 atm. What is the mole fraction of O 2?
a. 0.341
b. 0.481
c. 0.518
d. 0.659
e. 0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1102 | # Solution - Determinant of Order Two
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ConceptDeterminant of Order Two
#### Question
If the value of determinant |[m,2],[-5,7]|is 31, find the value of m
#### Solution
You need to to view the solution
Is there an error in this question or solution?
#### Similar questions VI... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1103 | # How do you divide ((x^4y^-2)/(x^-3y^5))^-1?
Jul 11, 2015
${\left(\frac{y}{x}\right)}^{7}$
#### Explanation:
Step 1: Move the power outside the brackets into it:
${\left(\frac{{x}^{4} {y}^{-} 2}{{x}^{-} 3 {y}^{5}}\right)}^{-} 1 = \frac{{x}^{-} 3 {y}^{5}}{{x}^{4} {y}^{-} 2}$
Step 2: Move the denominator terms into... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14240 | # How can i solve this (trigonometry)?
## $\left(\sin x - \frac{1}{2}\right) \left(\sin x - 2\right) \le 0$ over the interval [0;2pi]
Then teach the underlying concepts
Don't copy without citing sources
preview
?
#### Explanation
Explain in detail...
#### Explanation:
I want someone to double check my answer
3
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14241 | # Adding and subtracting fractions with like and unlike denominators
Page 1 / 1
This module discusses how to add and subtract fractions with like denominators and how to find the least common denominator to allow addition and subtraction of fractions with unlike denominators.
## Adding fractions with like denominato... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14242 | # Forces and inclined planes
1. Jun 28, 2014
### jonroberts74
Suppose a force F is acting downwards on an object sitting on a plane that is inclined 45 degrees to horizontal. express the force as a sum of a force acting parallel to the plane and on acting perpendicular to the plane
I figured I need to use ||F||cos ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14243 | # Interchange of summation in double series
I have been trying to understand the reasoning behind the following change of summation but still don't get it down, could anyone explain me what is happening?
The summation is $$\sum_{n=0}^{\infty}\frac{z^n}{n!}\sum_{r=0}^n s(n,r)x^r = \sum_{r=0}^{\infty} x^r \sum_{n=r}^{\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14244 | # The center of mass->
1. Jan 23, 2004
### deda
This is attempt to address Arcon's page on
center of mass
He says: $$\vec{R}=\frac{\sum m_i\vec{r_i}}{M}$$
R is radius vector of the center;
ri are radius vectors of mi;
M is sum of all mi;
It can be generalized to vector mass too.
$$M\vec{R}=M\vec{e_M}\times\vec{R}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14245 | # Is the dihedral group admissible?
When is the dihedral group $D_n$ admissible? Or, when does the Latin square of the Cayley table of a dihedral group have a transversal?
thanks
-
You should at least provide a reference where the specific meaning of the word 'admissible' you have in mind is explained: it has way to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14246 | # Joyal’s Proof of Cayley’s Tree Formula
I wanted to quickly write this proof up, complete with pictures, so that I won’t forget it again. In this post I’ll give a combinatorial proof (due to Joyal) of the following:
Theorem 1 (Cayley’s Formula)
The number of trees on ${n}$ labelled vertices is ${n^{n-2}}$.
Proof: ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14247 | View Single Post
P: 204 So if I want to prove. A=>B for all x. Does the following work? Suppose for contradiction, B is not true for all x, that is, there exists at least one x such that B is not true. In particular, assume that B is true for x=c and B isn't true for all other x. If I arrive at a contradiction, then A... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14248 | ## Transforming Exponential Equations
Any equation of the formwhereandare constants, andandare variables, can be transformed into a linear equation by taking logs.
Ifthen
Using the logarithm lawwithandand natural logs gives
Using the logarithm law(again using natural logs) with the second term on the right hand sid... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14249 | # Isn't it equal to 1?
Algebra Level 2
$\LARGE \frac {\color{red}{22/7} }{\color{green} \pi}$
Which of the following is true regarding the number above?
Note: $$\pi$$ is the ratio of the circumference to the diameter of a circle.
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14250 | My Math Forum Linear Dependence
Linear Algebra Linear Algebra Math Forum
October 18th, 2015, 06:17 AM #1 Senior Member Joined: Dec 2014 From: The Asymptote Posts: 142 Thanks: 6 Math Focus: Certainty Linear Dependence Given a set of vectors, I wish to determine as to whether the vectors are linear independent or... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14251 | ### Book Store
Currently only available for.
CBSE
# CBSE Physics 2015 Exam Questions
1.
Draw a graph to show variation of capacitive-reactance with frequency in an a.c. circuit.
Here, XC is the capacitive-reactance and is the frequency in an a.c circuit.
8630 Views
2.
A series LCR circuit is connected across a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14252 | # Angular Speed, Glob and Rod
## Homework Statement
http://loncapa2.physics.sc.edu/res/msu/physicslib/msuphysicslib/21_Rot3_AngMom_Roll/graphics/prob21a_bar.gif
On a frictionless table, a glob of clay of mass 0.38 kg strikes a bar of mass 0.90 kg perpendicularly at a point 0.55 m from the center of the bar and stick... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14253 | # Calculust-1
Calculus Level 5
A curve passes through $$(1,0)$$ such that the ratio of the square of the intercept cut by any tangent off the $$y$$-axis to the subnormal is equal to the ratio of the product of the co-ordinates of the point of tangency to the product of square of the slope of the tangent and the sub-t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14254 | # Homework Help: Wave Equation
1. Oct 11, 2009
### Gogsey
A harmonic wave traveling in the +x-direction has, at t = 0, a displacement of 17 units at x = 0, and a displacement of of -10 units at x = (3/4)$$\lambda$$. Write the equation for the wave at t = 0.
So the amplitude is the sum of the squares all square root... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_14255 | ## Anzellotti's pairing theory and the Gauss--Green theorem. (arXiv:1708.00792v2 [math.FA] UPDATED)
In this paper we obtain a very general Gauss-Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pairing theory and by characterizing the me... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10384 | # Schreiber M/F-Theory as Mf-Theory
An article that we have written:
• Hisham Sati, $\;\;$ Urs Schreiber
$\,$
M/F-Theory as $M f$-Theory
$\,$
Abstract. In the quest for mathematical foundations of M-theory, the Hypothesis H, that fluxes are quantized in Cohomotopy theory, implies, on flat but possibly singular sp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10385 | # When fine just ain’t enough
If you use sheaves to study differential geometry, one of the basic lemmas you’ll want is the following: Let $X$ be a smooth manifold and let $\mathcal{E}$ be a sheaf of modules over $C^{\infty}(X)$. (For example, $\mathcal{E}$ might be the sheaf of sections of a vector bundle.) Then all ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10386 | # Solving extended positive definite system with Cholesky factorization
Suppose we have a system of equations:
$$\begin{bmatrix} \boldsymbol{A} & \boldsymbol{1} \\ \boldsymbol{1}^\top & 0 \end{bmatrix} \begin{bmatrix} \boldsymbol{x} \\ x_0 \end{bmatrix} = \begin{bmatrix} \boldsymbol{b} \\ 1 \end{bmatrix}$$
where $\b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10387 | # A trick to simplify $z\ln z+\overline{z}\ln\overline{z}$?
Q: Given complex conjugates $z = a+bi$ and $\overline z = a-bi$, what would be substitution needed to find $R$, $$R= z\ln z+\overline{z}\ln\overline{z}\tag1$$ such that $R$ is an expression without imaginary numbers?
This question arose as a special case of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10388 | Mr Davis 97
Say I have the theorem ##p \rightarrow q##. What is the difference between proving that ##\neg q \rightarrow \neg p## is true and showing that ##\neg (p \rightarrow q) = \neg p \wedge q## leads to a contradiction?
Mentor
##\neg (p \rightarrow q) = \neg p \wedge q##
That should be ##\neg (p \rightarrow q) =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10389 | 6
Q:
# A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is
A) 18% B) 20% C) 22% D) 24%
Explanation:
Let the cost price = Rs 100
then, Marked price = Rs 135
Required gain = 8%,
So Selling price = Rs 108
Discount = 135 - 108 = 27
Discount% = (27... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10390 | CBSE Class 10CBSE
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# Solution - Find the Zeroes of the Following Quadratic Polynomials and Verify the Relationship Between the Zeroes and the Coefficients - CBSE Class 10 - Mathematics
ConceptRelationship Between Zeroes and Coefficients of a Polynomial
#### Questio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10391 | Math Help - log
1. log
1/log 25
25 what's its value?
2. base e?
3. it's like 25 at the base 1/log 25
4. so like: $\frac{1}{Log_{25} 25}$ ?
Well what do you know about $Log_x x = y$
It's the same as: $x^y = x$ which implies x = 1.
5. Originally Posted by franckherve1
it's like 25 at the base 1/log 25
Does it look... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10392 | # Math Help - Probabilities
1. ## Probabilities
If two balls are drawn (without replacement) from an urn that contains four red balls, five green balls and seven white balls. Find the probability that both balls are white.
Possible solutions:
2/3
1/9
7/40
49/240
2. Originally Posted by gretchen
If two balls are dra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10393 | # A ladder 13 m long is leaning against a vertical wall. The bottom of the ladder is dragged away from the wall along the ground at the rate of 2 cm/sec. - Mathematics
Sum
A ladder 13 m long is leaning against a vertical wall. The bottom of the ladder is dragged away from the wall along the ground at the rate of 2 cm... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10394 | # Verify trig identity
1. Dec 8, 2009
### Stevo6754
1. The problem statement, all variables and given/known data
Use a graphing calculator to test whether the following is an identity. If it is an identity, verify it. If it is not an identity, find a value of x for which both sides are defined but not equal.
$$\fra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10395 | ## anonymous one year ago How many days and hours will it take for someone to ride 1,250 miles only going 15 miles mph
• This Question is Open
1. Kash_TheSmartGuy
$\frac{ 15 }{ 1 }=\frac{ x }{ 1250 }$$x=18750$So, it's 781.5 days.|dw:1432772087764:dw|
2. anonymous
Your wrong dude it wouldn't take you 2 years to fini... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10396 | Trobada de Tardor de Geometria i Física
Encuentro de Otoño de Geometría y Física
Fall Workshop on Geometry and Physics
(special session)
Vilanova i la Geltrú, 6-8 July 2000
### Abstracts of the talks
• José A. de Azcárraga (U. València)
Superspaces, cohomology of superalgebras and the formulation of actions for supe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10397 | # How do you simplify -4sqrt72?
Oct 27, 2015
$- 4 \sqrt{72} = - 24 \sqrt{2}$
#### Explanation:
$- 4 \sqrt{72}$
Simplify.;
$- 4 \sqrt{8} \sqrt{9}$
Write the prime factors for $8$ and $9$.
$- 4 \sqrt{2 \times 2 \times 2} \sqrt{3 \times 3}$
Simplify.
$- 4 \sqrt{{2}^{2} \times 2} \sqrt{{3}^{2}}$
Apply square roo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10398 | # 数学代写|李群和李代数代写lie group and lie algebra代考|Math222
## 数学代写|李群和李代数代写lie group and lie algebra代考|THE LEVI DECOMPOSITION OF A LIE ALGEBRA
The study of Lie algebras in general can be reduced to the study of two special classes of Lie algebras: solvable $\mathrm{Lie}$ algebras and semisimple $\mathrm{Lie}$ algebras. These... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_10399 | ## Calculus 10th Edition
Counter-example: Let $f(x)=x^5+4x\to f'(x)=5x^4+4$ which is never equal to $0\to$ No critical numbers. Hence, not every $n$th-degree polynomial has $(n-1)$ critical numbers. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2048 | The ordered values of the iid sample are known as the order statistics. Watch: STAT’s Helen Branswell answers your questions about Covid-19, reinfection, and vaccine efficacy. A “stat” CT or MRI is ordered when the patient is potentially in serious danger. 1. The interquartile range IQR is then again 107−91 = 16. On yo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2049 | Enroll in one of our FREE online STEM summer camps. Space is limited so join now!View Summer Courses
### (II) A roller-coaster car shown in Fig. 6-41 is p…
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Problem 39
(II) A ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2050 | A carpenter designed a triangular table that had one leg. He used a special point of the table which was the center of gravity, due to which the table was balanced and stable.
You are watching: Point of concurrency of a triangle
Do you know what this special point is known as and how do you find it?
This special poi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2051 | # Are these independent random variables?
Let $$X, Y, Z$$ be pair-wise independent random variables. If $$A=XY$$ and $$B=XZ$$, are $$A$$ and $$B$$ independent?
My thoughts are that they are not independent. For example, if $$X$$ takes values $$-1, 1$$ with equal probability while $$Y$$ and $$Z$$ take vales $$1$$ and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2052 | ## Largest Root
#### Problem
Without the use of a calculator determine which is greater in value, the square root of two or the cube root of three.
#### Solution
Let $x = \sqrt{2} = 2^{1/2}$ and $y = \sqrt[3]{3} = 3^{1/3}$.
\begin{align}\therefore x^6 &= \left(2^{1/2} \right)^6 = 2^3 = 8\\y^6 &= \left(3^{1/3} \rig... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2053 | # How do you calculate speed at an object's perihelion?
## For example: The orbit of Halley's Comet around the sun is a long thin ellipse. At its aphelion the comet is 5.40 x 10^12m from the sun and moves with a speed of 13.0 km/s. What is the comet's speed at its perihelion where its distance from the sun is 8.60 x 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2054 | Homework Help: Lim sup, lim inf definition/convention
1. May 11, 2007
quasar987
My book says that if the set of all cluster points is empty, then we write lim sup = $-\infty$ and if the sequence is not bounded above, we write limsup = $+\infty$.
But what if both happen at the same time? for instance consider x_n=1/... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2055 | # Angle Between A Line And A Plane
Let us say that a line is inclined on a plane. A normal to the plane is drawn from the point where the line touches the plane. This normal forms an angle with the line. Then, the angle between the line and the plane is equivalent to the complement of the angle between the line and th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2056 | # Fiber product of local artinian rings with a fixed residue field
Let $$k$$ be a finite field and suppose $$A,B,C$$ are Artinian local rings with residue field $$k$$. Suppose we have local homomorphisms $$f \colon A \to C, g \colon B \to C$$ which induce the identity on residue fields. Apparently the fiber product $$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2057 | # Existence of GCD in an integral domain
What is the necessary and sufficient condition for an integral domain to have gcd for every pair of elements and why?
-
Well, it has to be a "gcd-domain", which is defined precisely as an integral domain in which every pair of elements has a gcd. Unique factorization is suffic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2058 | A sum of Rs. 1000 becomes Rs. 2000 in 10 years. In how many years will Rs. 5000 become 7500 at the same rate of SI?
1. 2 years
2. 5 years
3. 10 years
4. None of these
Option 2 : 5 years
Detailed Solution
GIVEN:
Principal = Rs. 1000
Amount = Rs. 2000
Time = 10 years
FORMULAE USED:
SI = (P × R × T)/100
CALCULAT... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2059 | # Vertex-transitive graphs and deletion of vertices
Consider the following graph property: for each $u, v \in V(G)$, we have that $G - u \cong G-v$. This property implies a high "symmetry" of the graph.
We can easily see that every vertex-transitive graph has this property. My question: is the converse true?
I've tr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2060 | Volume 47, Issue 3
Landau-Type Theorems for Solutions of a Quasilinear Differential Equation
J. Math. Study, 47 (2014), pp. 295-304.
Published online: 2014-09
Preview Full PDF 419 3624
Export citation
Cited by
• Abstract
In this paper, we study solutions of the quasilinear differential equation $\bar{z}\partial_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2061 | # Homework Help: Complex Integrals
1. Apr 21, 2009
### kathrynag
1. The problem statement, all variables and given/known data
integral(e^(iz)dz) with bounds from pi to i.
I need to evaluate using : along the straight line joining the limits, along segments of the coordinate axes joining the limits, and estimate usi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2062 | # Can the product of infinitely many elements from $\mathbb Q$ be irrational? [closed]
I know there are infinite sums of rational values, which are irrational (for example the Basel Problem). But I was wondering, whether the product of infinitely many rational numbers can be irrational. Thank you for your answers.
##... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_2063 | # Simplest way to analytically determine whether a claimed heat transfer process obeys the second law of thermodynamics?
I want to find the simplest method to determine whether a proposed heat transfer process violates the second law of thermodynamics. Specifically I am looking for a method that meets the following ne... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7168 | # statistical arbitrage using PCA
While reading the paper Statistical Arbitrage in the U.S. Equities Market by Marco Avellaneda and Jeong-Hyun Lee on statistical arbitrage using PCA
I realized that the author sums the residuals of regression against PCA factors and says that is mean reverting. By standard regression ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7169 | # If angles of projection are (π/4 + θ) and (π/4 - θ) where θ < π/4, then the ratio of horizontal ranges described
211 views
in Physics
If angles of projection are (π/4 + θ) and (π/4 - θ) where θ < π/4, then the ratio of horizontal ranges described by the projectile is (speed is same)-
(A) 2 : 1
(B) 1 : 2
(C) 1 : ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7170 | # Need help with Applications of Differentiation Problem
Question
My Working
Following the hint + some help I got from tutorial below is what I got ... but I believe I did something wrong ... its not the answer below the question yet $0.955\text{ }m\text{ }min$ (I believe its $0.955 m/min$)
UPDATE
In general how d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7171 | History
Please fill in your query. A complete syntax description you will find on the General Help page.
Hereditary properties of ordered graphs. (English)
Klazar, Martin (ed.) et al., Topics in discrete mathematics. Dedicated to Jarik Nešetřil on the occasion of his 60th birthday. Berlin: Springer (ISBN 3-540-33698-2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7172 | # Recent questions tagged 193
Questions from:
### On Monday, Colin walked 9.4 kilometres. On Tuesday, he walked 4.27 kilometres less than he had walked on Monday. How far did Colin walk on Tuesday?
To see more, click for the full list of questions or popular tags. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7173 | ### Home > PC3 > Chapter 10 > Lesson 10.1.5 > Problem10-100
10-100.
A large picture weighing 40 pounds is being suspended as shown in the diagram at right. How much tension is on one side of the cable?
The sum of the vectors in the diagram must be $0$ since the picture is not moving.
Use this information to solve fo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7174 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Aug 2018, 17:26
### 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-00004-of-00114-3158c787ea8296d3_doc_7175 | # Axioms for the theory of proveit.logic.classes¶
In [1]:
import proveit
# Prepare this notebook for defining the axioms of a theory:
%axioms_notebook # Keep this at the top following 'import proveit'.
In [2]:
%begin axioms
Defining axioms for theory 'proveit.logic.classes'
Subsequent end-of-cell assignments will de... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7176 | # zbMATH — the first resource for mathematics
Notes on Seiberg-Witten theory. (English) Zbl 0978.57027
Graduate Studies in Mathematics. 28. Providence, RI: American Mathematical Society (AMS). xviii, 484 p. (2000).
This volume provides a general introduction to Seiberg-Witten theory, which covers many technical issues... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7177 | # Prescribing Metrics on the Boundary of Anti-de Sitter 3-Manifolds
Prescribing Metrics on the Boundary of Anti-de Sitter 3-Manifolds Abstract We prove that given two metrics $$g_{+}$$ and $$g_{-}$$ with curvature $$\kappa <-1$$ on a closed, oriented surface $$S$$ of genus $$\tau\geq 2$$, there exists an $$AdS_{3}$$ m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7178 | # Find the Length of Diagonal of the Square Whose Side is 8 Cm. - Geometry
Find the length of diagonal of the square whose side is 8 cm.
#### Solution
Length of the Diagonal sqrt2 xx "side"
⇒ sqrt 2xx8
8sqrt2cm
Concept: Right-angled Triangles and Pythagoras Property
Is there an error in this question or solution? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7179 | You are currently browsing the tag archive for the ‘additive combinatorics’ tag.
In graph theory, the recently developed theory of graph limits has proven to be a useful tool for analysing large dense graphs, being a convenient reformulation of the Szemerédi regularity lemma. Roughly speaking, the theory asserts that ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7180 | # On 2D Inverse Problems/Y-Δ and star-mesh transforms
Exercise (**). Let d be a diagonal entry of the Kirchhoff matrix K of a network G, corresponding to an interior node. Use the Schur complement formula ${\displaystyle \Lambda _{G}=K/C=(K/d)/(C/d)}$ for the Dirichlet-to-Neumann map to prove the invariance. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7181 | What is the Lewis structure for XeF_4 polar?
Jul 31, 2017
${\text{XeF}}_{4}$ would be considered nonpolar..
Explanation:
Xenon tetrafluoride is a neutral molecule consisting of four $\text{F}$ atoms bonded to a central $\text{Xe}$ atom (xenon is hypervalent in this situation).
Looking at the rules for determining ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7182 | # Not Wallis Product
Algebra Level 4
$1 + \frac {1}{5} + \frac {1 \times 3}{5 \times 10} + \frac {1 \times 3 \times 5}{5 \times 10 \times 15} + \cdots$
The series above can be expressed in the for of $$\sqrt{ \dfrac a b }$$, where $$a$$ and $$b$$ are coprime positive integers.
What is the value of $$a+b$$?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7183 | Compassionately Conservative Balanced Cuts for Image Segmentation
# Compassionately Conservative Balanced Cuts for Image Segmentation
## Abstract
The Normalized Cut (NCut) objective function, widely used in data clustering and image segmentation, quantifies the cost of graph partitioning in a way that biases cluster... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17616 | Free Version
Moderate
# Find the Function of a Curve
MVCALC-XKERPR
Let $C$ be the curve defined by:
$$x^2+y^2=36$$
Which of the following vector-valued functions represents $C$?
A
${\bf f}(t)= t {\bf i} -\sqrt{36-t^2} {\bf j}$ with $0\leq t\leq 6.$
B
${\bf f}(t)= t {\bf i} +\sqrt{36-t^2} {\bf j}$ with $0\leq t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17617 | Calculus: Early Transcendentals 8th Edition
This is not true. The function $$f(x)=\left\{_{1,\quad x\geq 0}^{-1,\quad x<0}\right.$$ is not continuous at $x=0$, but the function $|f(x)|=1$ is continuous. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17618 | # Angles Between Two Lines
The Angles between two lines is defined as shown below:
If the lines are parallel then the angles between both lines is zero.
Suppose we have angle ‘∅’in between two lines then it always satisfy the inequalities condition.
=>
2
If the Slope of both the lines is a1 and a2 then the angle ∅ is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17619 | Research
# Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
Shengli Xie
Author Affiliations
Department of Mathematics and Physics, Anhui University of Architecture, Zipeng Road, Hefei, Anhui, 230601, P.R. China
Boundary Value Problems 2013, 2013:20... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17620 | ## Singular Mapping for a PT-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold
H. F. Jones
A popular PT-symmetric optical potential (variation of the refractive index) that supports a variety of interesting and unusual phenomena is the imaginary exponential, the limiting case of the potential $$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17621 | ## Basic College Mathematics (10th Edition)
Published by Pearson
# Chapter 4 - Decimals - 4.2 Rounding Decimal Numbers - 4.2 Exercises - Page 280: 23
$1.22 #### Work Step by Step When you round to the nearest cent, you are rounding to the nearest hundredths of a dollar. To round 1.2225 to the nearest cent, draw a "c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17622 | IIT JAM Follow
January 3, 2021 9:59 am 30 pts
how check if this sequence is convergent or not . . . . . . . . .
• 1 Likes
• Shares
• Anonymous User
This is finitely Oscillate Sequence. it is not Convergent. See attachment below
• Anonymous User
This is finitely Oscillate Sequence. it is not Convergent. See attachment b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17623 | # Wavefunctions and the twin paradox
My previous post was awfully long, so I must assume many of my readers may have started to read it, but… Well… Gave up halfway or even sooner. 🙂 I added a footnote, though, which is interesting to reflect upon. Also, I know many of my readers aren’t interested in the math—even if ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17624 | ## 如何學好線性代數？
Q1. 二階行列式定義為 $\begin{vmatrix}a&b\\c&d\end{vmatrix}=ad-bc$，為甚麼不定義為 $\begin{vmatrix}a&b\\c&d\end{vmatrix}=bc-ad$$\begin{vmatrix}a&b\\c&d\end{vmatrix}=ab-cd$
Q2. 一個 $2\times 2$ 階矩陣 $\begin{bmatrix}a&b\\c&d\end{bmatrix}$ 的行列式是平面上兩個向量 $\begin{bmatrix}a\\c\end{bmatrix}$$\begin{bmatrix}b\\d\end{bmatrix}$$(a,b)$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17625 | # Disconnected metric space and continuous functions
Question: Give an example of disconnected metric space $X$ and a metric space $Y$ such that for every continuous function $f: X \to Y$, $f(X)$ is a connected subset of $Y$.
I was thinking about $\mathbb{R}$ with the discrete metric as a candidate for $X$, but then ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17626 | # Combinatorial proof of a relation between the number of distinct prime divisors of a number and the Riemann zeta function.
Recently I've been learning about the basics of Dirichlet functions and their relations to subjects in number theory that I would characterise as combinatorial in nature. I came across this iden... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17627 | # Pruning and Sorting Tables
## Introduction
Often we want to filter or reorder subsections of a table in ways that take into account the table structure. For example
• sorting subtables corresponding to factor levels so that most commonly observed levels occur first in the table
• Removing subtables which represent... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17628 | # Work, Profit & Loss Practice Questions & Tests
#### Question No 1
A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?
Solution!
A's 1 hour's work = 1/4! !(B + C)'s 1 hour's work = 1/3! !(A + C)'s 1 hour's work =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17629 | # Fermat numbers are coprime
So today in my final for number theory I had to prove that the Fermat numbers ($F_n=2^{2^n}+1$) are coprime.
I know that the standard proof uses the following: $F_n=F_1\cdots F_{n-1}+2$ and then the $\gcd$ divides $2$, and it cannot be two, and hence the numbers are coprime.
However, he ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17630 | # A question of the book Elements of the representation theory of associative algebras volume 1
I'm reading the book "Elements of the representation theory of associative algebras, volume 1". And I can't understand the proof of the proposition 3.11 on page 124 (the place where marked green).
"because $P$ is injective... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17631 | Non-"weakly group theoretical" integral fusion categories?
+ 7 like - 0 dislike
967 views
Is there an integral fusion category of global dimension $210$, such that the simple objects have dimensions $\{1,5,5,5,6,7,7\}$ and the following fusion matrices?
$\small{\begin{smallmatrix} 1 & 0 & 0 & 0& 0& 0& 0 \\ 0 & 1 & 0... |
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