id stringlengths 27 136 | text stringlengths 4 1.05M |
|---|---|
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16297 | # zbMATH — the first resource for mathematics
## Klagsbrun, Zev
Compute Distance To:
Author ID: klagsbrun.zev Published as: Klagsbrun, Zev External Links: MGP
Documents Indexed: 11 Publications since 2012
all top 5
#### Co-Authors
2 single-authored 4 Lemke Oliver, Robert J. 2 Bhargava, Manjul 2 Mazur, Barry 2 Ru... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16301 | ## anonymous one year ago find all radian solutions in the interval 0<= x < 2pi round to four decimal places. 4sin^2x-12sinx-1=0 i did the quadratic formula and got 12 +- square root of 160, which breaks down into 12 +- 4 square root 10. im not sure how im supposed to get that into radians, or how ro round it 4 decimal... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16302 | Puzzles of modern machine learning
It is often said that "we don’t understand deep learning" but it is not as often clarified what is it exactly that we don’t understand. In this post I try to list some of the "puzzles" of modern machine learning, from a theoretical perspective. This list is neither comprehensive nor ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23744 | Lessons from a puzzle about prime numbers
[ Wikipedia ]
Doron Zeilberger is a famous combinatorial mathematician based at Rutgers. He is noted for actively using computers in research. His computers even get co-authorship credit under the name “Shalosh B. Ekhad,” which is Hebrew for 3B1—a computer that came from bui... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23745 | ## jueves, 21 de marzo de 2013
### An elimination problem
Given a triangle $ABC$ and two isogonal points $P$ and $P*$, call $A'B'C'$ and $A''B''C''$ the antipedal triangles of $P, P*$, respectively.
The triangle bounded by $A'A''$, $B'B''$, $C'C''$ is always perspective with ABC (see Hyacinthos message #21782).
The... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23746 | ## Brazilian Journal of Probability and Statistics
### Prediction of future failures for generalized exponential distribution under Type-I or Type-II hybrid censoring
#### Abstract
In this paper, we consider the prediction of a future observation based on either Type-I or Type-II hybrid censored samples when the lif... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23747 | # Definition of Proper Factor
A proper factor is a factor of a number that is not equal to the number itself.
Some people also say that $1$ is not a proper factor.
For example, the factors of $16$ are $1,2,4,8,16$. The proper factors of $16$ are $1,2,4,8$.
Some people would say that the proper factors of $16$ are $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23748 | Students can access the CBSE Sample Papers for Class 10 Maths with Solutions and marking scheme Term 2 Set 2 will help students in understanding the difficulty level of the exam.
## CBSE Sample Papers for Class 10 Maths BasicTerm 2 Set 2 with Solutions
Time allowed: 2 hours
Maximum Marks: 40
General Instructions:
•... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23749 | Problem with solving hyperbolic PDE using canonical form
I'm stuck when im trying to solve this equation: $$\frac{1-n}{2}xu_x+\frac{n-1}{2}u-2x^2u_{xx}+b n\cdot x\cdot y \cdot u_{xy}=0$$, where $$u=u(x,y)$$ and $$b$$ and $$n>0$$ are constant parameters.
Comparing this with general 2-variable PDE: $$A(x, y)u_{xx} + B(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23750 | 1
AIEEE 2009
+4
-1
The shortest distance between the line $$y - x = 1$$ and the curve $$x = {y^2}$$ is :
A
$${{2\sqrt 3 } \over 8}$$
B
$${{3\sqrt 2 } \over 5}$$
C
$${{\sqrt 3 } \over 4}$$
D
$${{3\sqrt 2 } \over 8}$$
2
AIEEE 2009
+4
-1
The lines $$p\left( {{p^2} + 1} \right)x - y + q = 0$$ and $$\left( {{p^2} + 1} \righ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23751 | # How do you calculate a 95% confidence interval without the mean?
## In 2007, the Pew Research Center assessed public opinion of the challenges of motherhood. Over a 4-week period, they surveyed 2020 Americans. They found 60% of respondents felt that it was more difficult to be a mother today than it was 20 or 30 yea... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23752 | # Beta function and changing variables
by springo
Tags: beta, function, variables
P: 126 1. The problem statement, all variables and given/known data $$\int_{0}^{3}\sqrt[3]{\frac{3-x}{x^2}}\: \mathrm{d}x$$ 2. The attempt at a solution I'm pretty sure I have to use Euler's Beta function, so I tried to change the limit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23754 | # Irreducible Laurent polynomial in multiple variables: Ideal intersection
In a larger proof of some theorem in algebraic geometry, an argument is used which I don't really understand. Giving the full proof is clearly over the top, so I tried to minimize the information needed (although I'm not sure if more details ar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23756 | My Math Forum How to sketch this function
Calculus Calculus Math Forum
April 5th, 2010, 05:47 AM #1 Newbie Joined: Dec 2009 Posts: 8 Thanks: 0 How to sketch this function Hi, I'm not very sure of where this belongs but here it goes: How do I sketch this family of functions? (-1/((x+3)^2+y^2)^.5)-(1/((x-3)^2+y^2)^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23757 | # JEE-Mains 2015 (11/30)
Calculus Level 3
$\text{ Given : } g(x)= \begin{cases} k\sqrt{x+1} \quad, \quad 0 \leq x \leq 3 \\ mx+2 \quad , \quad 3<x \leq 5 \end{cases}$ If the function $$g(x)$$ is differentiable, then the value of $$k+m$$ is :
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23758 | # Why are primes considered to be the “building blocks” of the integers?
I watched the video of Terence Tao on Stephen Colbert the other day (here), and he stated, like many mathematicians do, that the primes are the building blocks of the integers.
I've always had trouble with this idea, because I don't think it's a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23753 | Extending a functional with same norm
I have: $X = <\mathbb R^2, ||(x,y)|| = \sqrt{4x^2+y^2}>, L = \{(2x,3x), x \in\mathbb R\},$
$\phi_0 \in L^* : \phi_0 (2x,3x) = -2x$
I need to extend $\phi_0$ on $X$ without changing norm (norm should stay the same). How can I do it?
-
i think by "expand" you mean "extend".......... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23755 | # Closed form expression for $n_j$ defined by $n_j=\lceil n_{j−1}/b\rceil$ clarification
I came across this answer to this question: Closed form expression for $n_j$ defined by $n_j=\lceil n_{j-1}/b \rceil$
I was hoping someone could clarify the following step:
$q−1 \leqslant \dfrac{(P−1)}{b} < \dfrac{x}{ab} ⩽ \dfra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9936 | ## anonymous one year ago Write an equation in point slope form given: slope, m, = -7/8 and point (2, 3). A. y – 2 = - (7/8)(x + 3) B. y – 2 = (7/8)(x + 3) C. y – 3 = -(7/8)(x - 2) D. y – 3 = (7/8)(x - 3)
1. anonymous
@jim_thompson5910
2. jim_thompson5910
plug the given info into point slope form $\Large y - y_1 = ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9937 | +0
# So question help
0
51
3
So I had 2 questions that I am stumped on am i just not smart or are these actually hard.
1. The figure shown is a cube. The distance between vertices B and G is $$5\sqrt{2}$$ units. What is the volume of the cube, in cubic units?
I got the answer 500 using the pythagorean theorem and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9939 | # An Application of the Central Limit Theorem Involving $S_{2n}$
I am working on the following problem:
Assume $X_1, X_2, \dots$ are i.i.d. with $E(X_1^2)=1$ and $E(X_1)=0.$ Let $S_n = X_1+\dots+X_n$.
a) Show that $P(S_{2n}\leq 2S_n + \sqrt{n})$ converges and find the limit.
b) Show that $\frac{|S_n|}{\sqrt{|X_1|+\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9942 | ### Complex Numbers
Before we dive into Euler's formula and Complex Algebra, let's test your intuitive understanding of non-complex algebra.
\begin{aligned} \large 9^a&\large= 25 \\ \\ \large 3^a &\large = \ ? \end{aligned}
What goes at the question mark in the equations above?
Hint: There's a much faster way than ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9944 | # 11.5: Melting, Freezing, and Sublimation
##### Learning Objectives
• Define melting, freezing, and sublimation.
Depending on the surrounding conditions, normal matter usually exists as one of three phases: solid, liquid, or gas.
A phase change is a physical process in which a substance goes from one phase to anot... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9946 | • # question_answer Using the data given below the order and rate constant for the reaction: $C{{H}_{3}}CHO\left( g \right)\to C{{H}_{4}}\left( g \right)+Co\left( g \right)$ would be- Experiment no. Initial cone. Initial rate $\left[ mol/\ell \right]$ $\left[ mol.li{{t}^{-1}}\,{{\sec }^{1}} \right]$ I 0.10 0.020 I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9948 | # Computation and Properties of the Derivative in Calculus
Questions on the computation and properties of the derivative of a function in calculus are presented. These questions have been designed to help you gain deep understanding of the properties of derivatives . Answers to the questions are also presented.
Ques... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9949 | # Is there more than one way to solve a 2 step equation?
Jan 9, 2015
Solving two-step equations is not much more complicated than solving one-step equations; it just involves an extra step.
Usually there is more than one way to solve these. It's ok to use whatever method makes most sense to you. The general rule of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9950 | # Math Help - Logistic Recursion Relation
1. ## Logistic Recursion Relation
A certain population is believed to satisfy the logistic recursion relation
The data for this population can be found at posted data. Find the constants and that fit the data to the update function f as well as possible in a least squares se... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9951 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
Proposition 4.5.2.17 (Homotopy Invariance). Suppose we are given a commutative diagram of $\infty$-categories
$\xymatrix@R =50pt@C=50pt{ \operatorname{\mathcal{C}}_{01} \ar [dr]^{ F_{01} } \ar [rr] \ar [dd] & & \operatorname{\mathcal{C}}_{0} \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9938 | # Jianfeng Lu
• Associate Professor of Mathematics
• Associate Professor of Chemistry (Secondary)
• Associate Professor of Physics (Secondary)
External address: 242 Physics Bldg, 120 Science Drive, Durham, NC 27708
Internal office address: Mathematics Department, Duke University, Box 90320, Durham, NC 27708
Phone: (91... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9940 | ## Trigonometry (10th Edition)
$46^{\circ},78^{\circ},56^{\circ}$
1. $\angle B= \angle M= 46^{\circ}$ $\angle C= \angle P= 78^{\circ}$ These angles are marked as congruent and therefore have the same measure 2. To get final angle we need to remember that angles in a triangle sum up to 180 degrees $\angle A= \angle N= ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9943 | );X 2(! /Filter /FlateDecode Convergence in probability says that the chance of failure goes to zero as the number of usages goes to infinity. For example, the plot below shows the first part of the sequence for $s = 0.78$. n!1 X(!) Convergence in Lp im-plies convergence in probability, and hence the result holds. When... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9945 | # How much momentum does a 1/2 kg object moving at 64 ms^-1 have?
Kinetic energy is just given by ${E}_{k} = \frac{1}{2} m {v}^{2}$. In this case, ${E}_{k} = \frac{1}{2} \cdot \frac{1}{2} \cdot {64}^{2} = 1024$ $J$
Not too much more to explain for this question. Kinetic energy is the energy something has because it ha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9947 | # Divisibility strikes again
Find the number of integers $$m$$ for which $$n^{4} + m$$ is composite for all natural numbers $$n$$.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20497 | # Logistic map
related topics {math, number, function} {math, energy, light} {rate, high, increase} {specie, animal, plant}
The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20498 | ## anonymous one year ago Six times the sum of a number and twelve is forty. Which equation represents this? 6N + 12N = 40 6N + 12 = 40 6(N + 12) = 40
1. mathstudent55
Why don't you try it one step at a time.
2. anonymous
6(N+12)=40
3. anonymous
srry all these dirrect answers ill post anouther...
4. mathstudent5... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20499 | # GMAT Question of the Day (Nov 8): Algebra and Sentence Correction
- Nov 8, 02:00 AM Comments [0]
Math (PS)
If $x$ and $y$ are consecutive positive integers, and:
$\begin{cases}x &> y \\ x^2 - 1 &> y^2 - 4y + x - 1 \\ \end{cases}$
which of the following represents all the possible values of $y$ ?
(A) $y \ge 0$
(B... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20501 | characterization of trees in terms of products of transpositions - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T22:34:53Z http://mathoverflow.net/feeds/question/32552 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/32552/characterization-of-trees-in-terms-o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20502 | It is currently 13 Aug 2020, 18:11
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.
Customized
for You
we will pick new questions that match your level based on your Ti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20503 | ## Intermediate Algebra (6th Edition)
The given equation, $y=5 ,$ is a horizontal line that has a $y-$intercept of $5$, but has no $x-$intercept. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20504 | # Question #c6f62
Oct 16, 2017
$- 2 < r \le 0$
#### Explanation:
Split up the inequalities into two parts.
$9 + 7 r > r - 3$ and $r - 3 \ge 7 r + 3$
Solve them.
$9 + 7 r > r - 3$
$6 r > - 12$
$r > - 2$
$r - 3 \ge 7 r + 3$
$0 \ge 6 r$
$0 \ge r$
Since $r$ has to be more than $- 2$ and less than $0$, we can rewrite... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20505 | # Bulgarian solitaire
In mathematics and game theory, Bulgarian solitaire is a card game that was introduced by Martin Gardner.
In the game, a pack of ${\displaystyle N}$ cards is divided into several piles. Then for each pile, remove one card; collect the removed cards together to form a new pile (piles of zero size... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20506 | Math Help - Effective interest rate ?
1. Effective interest rate ?
1) A car dealer is offering a $1500 rebate or financing at 2% APR over 36 months. The price of the car is$17,000.A minimum down payment of 20% is required. What is the effective interest rate for the loan?
2. What loan? You have not specified suffici... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20507 | 5
# Suppose thal on 1720 mile flight from Seatile to Chicago. Alaska, Southwest, and Delta Alrlines flew total of 500 emply seats. costing tnem total of 5139,836_ costs...
## Question
###### Suppose thal on 1720 mile flight from Seatile to Chicago. Alaska, Southwest, and Delta Alrlines flew total of 500 emply seats.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20508 | MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).
It seems pretty clear to me that if you fix $n$ and look at finite simply connected n-dimensional simplicial complexes then the (rational) homotopy equivalence proble... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20509 | Two matrices are said to be (row) equivalent if one matrix may be transformed into the other one by a sequence of elementary operations
We have said that two systems of equations are equivalent if they have the same set of solutions, and that two matrices are (row) equivalent if they may be connected through a sequenc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20510 | Main Theory of Functions of a Complex Variable, 2 Volumes.
Theory of Functions of a Complex Variable, 2 Volumes.
,
Volume: Volume 1
Year: 1958
Edition: 2nd
Language: english
Pages: 313
File: DJVU, 2.69 MB
You can write a book review and share your experiences. Other readers will always be interested in your opinion ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20500 | Public Group
# Newbie - How to start?
## Recommended Posts
Good day dear people
I'm completely new here and very nervous to be honest. I started with 3D-Design at my traineeship and can slowly start with my ideas for a survival/rpg game in 3d But since I only used RPG Makers until now I wonder how is the best way t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20511 | # Cube Root/Examples/2
(Redirected from Cube Root of 2)
The decimal expansion of the cube root of $2$ starts:
$\sqrt [3] 2 \approx 1 \cdotp 25992 \, 10498 \, 94873 \, 16476 \ldots$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13568 | 5
# Column Ohe how of the table. phones (in thousand forints)_ much manufacturer Explain Prepare - the money the mobile h Hl makes TH have research in the righthand s...
## Question
###### Column Ohe how of the table. phones (in thousand forints)_ much manufacturer Explain Prepare - the money the mobile h Hl makes T... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13570 | ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS
Title & Authors
ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS
Agarwal, Ravi-P.; Grace, S.R.; Dontha, S.;
Abstract
In this paper, we establish some new oscillation criteria for the functional differential equations of the form $\small{\f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13571 | ### Abstract
A finite element method for the solution of the up-to-second-order wave diffraction-radiation problem in the time-domain is proposed. The solver has been verified against available analytical solutions, and validated using experimental data available for the HiPRWind semisubmersible platform (designed for... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13573 | # Tag Archives: Green’s theorem
## Math2111: Chapter 5: Recommended reading: The fundamental theorems
In this blog entry you can find lecture notes for Math2111, several variable calculus. See also the table of contents for this course. This blog entry printed to pdf is available here.
In this entry we show that all... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13574 | # Calculus of variations and necessary conditions?
So I have a problem that I'm dealing with, but I'm not sure how to complete the answer.
Find the extremals of the functional $\displaystyle J(y) = \int_{a}^{b}(y^2+yy'+(y'-2)^2)\,dx$ over the domain $A = \{y \in C^2[0,1]:y(0) = y(1)=0\}$. Show that $J$ does not assum... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13575 | # Definition:Normal Subset/Definition 6
## Definition
Let $\struct {G, \circ}$ be a group.
Let $S \subseteq G$ be a general subset of $G$.
Then $S$ is a normal subset of $G$ if and only if:
$\map {N_G} S = G$
where $\map {N_G} S$ denotes the normalizer of $S$ in $G$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13576 | # the exterior measure of a non-measurable set?
what is the exterior measure of $\mathcal{N}$, which is defined by picking a representation of the coset $\mathbb{R}$/$\mathbb{Q}$ in the interval [0,1]. Is it zero? How to prove?
-
I do not believe it's $0$. Were it, for each $n$ we could find an open set $U_n$ contain... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13577 | # Calculus - Error
• Sep 8th 2010, 09:37 PM
darkvelvet
Calculus - Error
The time of oscillation, T seconds, of a simple pendulum is very nearly equal to 2/L , where L is the length of the pendulum in metres. A pendulum is made to have a time of oscillation of 1 second. Find the effect on the time, if there is an error... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13578 | # Existence of a phase-transition in a one-dimensional Ising ferromagnet
@article{Dyson1969ExistenceOA,
title={Existence of a phase-transition in a one-dimensional Ising ferromagnet},
author={Freeman J. Dyson},
journal={Communications in Mathematical Physics},
year={1969},
volume={12},
pages={91-107}
}
• F. Dyson
• Pu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13579 | # Solving 72x2+72x+-73 using the Quadratic Formula
For your equation of the form "ax2 + bx + c = 0," enter the values for a, b, and c:
a x2 + b x + c = 0
Reset
You entered:
72x2+72x+-73=0.
There are two real solutions: x = 0.62422813026934, and x = -1.6242281302693.
## Here's how we found that solution:
You ente... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13580 | ×
# Sum of product of first N natural numbers.
Is there any existing formula or method to calculate the product of of first n natural numbers for extremely large values i.e n! ? I could not find anything on the internet.
Note by Sridhar Thiagarajan
4 years, 6 months ago
## Comments
Sort by:
Top Newest
What do u ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13581 | The k-Rainbow Domination and Domatic Numbers of Digraphs
• Journal title : Kyungpook mathematical journal
• Volume 56, Issue 1, 2016, pp.69-81
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2016.56.1.69
Title & Authors
The k-Rainbow Domination and Domatic Numbers of Digraph... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13582 | Statistics
Characteristics of the Normal Probability Distribution
We will provide an example to accompany the explanation. This example relates to the height of ten year-old children:
1. A continuous variable - the normal probability distribution reflects the distribution of a continuous variable, which can receive ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13583 | # Thread: Confused on what to do here..
1. ## Confused on what to do here..
Five friends met for lunch, and they all shook hands. Each person shook the other persons right hand only once. What was the total number of handshakes?
2. Originally Posted by eh501
Five friends met for lunch, and they all shook hands. Each... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13572 | # Predicted Probabilities for Logit Models
Last month I asked this question here.
After thinking about it recently, I was wondering if it makes sense to think about logit probabilities in that regards. Since the predictor of a coefficient shows the log odds change in the response variable independent of all other pre... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2769 | # Olympics
In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
Result
n = 120
#### Solution:
$n = 6 \cdot \ 5 \cdot \ 4 = 120$
Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2770 | # How do you state the coordinates of the vertex of the parabola whose equation is: y = 3(x - 2)^2 + 5?
May 10, 2016
$\text{Vertex } \to \left(x , y\right) \to \left(2 , 5\right)$
#### Explanation:
This is the vertex form of the equation from which you can directly read off the vertex coordinates
In that ${x}_{\te... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2771 | 3 Answered Questions for the topic Mortgages
07/09/18
Mortgages
12/05/14
#### Find the selling price of a house when you have payment, term, and rate
Payments are \$1,724.36 at the end of each month. 30 year mortgage. 4% annual interest rate, compounded monthly. What is the beginning loan amount? Not sure wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2772 | # Linear Differential Equation
## Linear Differential Equation
A differential equation is said to be linear. If the dependent variable and its differential coefficients occur in the first degree only and are not multiplied together.
Method 1: The most general from of a linear equation of the first order is $$\frac{d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2773 | # A question about $R^\infty$-rank
I have been trying to learn some stability theory lately, and I have been reading "Geometric Stability Theory" by Pillay. There is a lemma he states without proving which I am trying to prove, but I am getting stuck. The lemma states that if $b\in acl(aA)$ then $$R^{\infty}(tp(b/A))\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2774 | # Math Help - Logical Equivalences and Boolean Algebra
1. ## Logical Equivalences and Boolean Algebra
Hi,
I have been trying to work around the following question, but can't seem to get it right.
(P ^ ¬Q) V (¬P ^ Q) <=> ¬(P ^ Q) ^ (P VQ)
Any help is highly appreciated.
2. ## Re: Logical Equivalences and Boolean A... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2775 | User z.h. - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T03:34:21Z http://mathoverflow.net/feeds/user/5098 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/21003/polynomial-bijection-from-qxq-to-q Polynomial bijection from QxQ to Q? Z.H. 2010-04-11T12:03:13Z... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2777 | # 4.8 Suppose S 0 $/£ =$1.25/£ and the 1-year forward rate is F 1 $/£ =$1.20/£. The real interest...
4.8 Suppose S0$/£ =$1.25/£ and the 1-year forward rate is F1$/£ =$1.20/£. The real interest rate on a risk-free government security is 2 percent in both the United Kingdom and the United States. The U.S. inflati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2778 | Multiplying decimals
Multiplying decimals
Previously, we learned how to add and subtract decimal numbers. In this section, we will learn how to multiply decimal numbers. As learned in previous section, when adding and subtracting decimal numbers, the decimal points must be lined up. In contrast, when multiplying deci... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2779 | # How do you factor 2x^2 + 11x + 12 ?
May 26, 2016
(2x + 3)(x + 4)
#### Explanation:
Use the new AC Method (Socratic Search)
$y = 2 {x}^{2} + 11 x + 12 =$ 2(x + p)(x + q)
Converted trinomial $y ' = {x}^{2} + 11 x + 24 =$ (x + p')(x + q').
p' and q' have same sign because ac > 0.
Factor pairs of (ac = 24) -->... (3,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2780 | ## Tag Archives: contact form
### Symplectic and contact manifolds
Let $(M,\omega)$ be a symplectic manifold. It said to be exact if $\omega=d\lambda$ for some one-form $\lambda$ on $M$.
(1) If $\omega=d\lambda$ is exact, then there is a canonical isomorphism between the v.f. and 1-forms. In particular, there exists... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2782 | Why is learning mathematics compulsory?
In most education systems, Mathematics is a compulsory subject from primary school all the way to the start of university. A common reason given is that essential concepts like addition and multiplication are taught to the children.
But for many high school students, especially... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2768 | Electronic Journal of Statistics
A general drift estimation procedure for stochastic differential equations with additive fractional noise
Abstract
In this paper we consider the drift estimation problem for a general differential equation driven by an additive multidimensional fractional Brownian motion, under ergod... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2781 | # A more elegant way to do: $\int \frac{\sin^2x}{1+\sin^2x} \ dx$
So I have come across this integral:
$$I=\int \frac{\sin^2x}{1+\sin^2 x}\,\mathrm dx$$
What I did was, split the integral, then used Pythagorean identity and split up the fraction.
$$I= x - \frac{1}{2\sqrt{2}} \int \left(\frac{1}{\sqrt{2} - \cos x} +... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2783 | # Convolution of an integrable function an $L^\infty$ function [duplicate]
Let $f$ be an integrable function on $\mathbb{R}$, and $g$ be an $L^\infty$ function on $\mathbb{R}$.
Then, the convolution $f*g$ is said to be continuous and bounded on R. I managed to show that it is bounded, but can't show that it is continu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3936 | ## Prealgebra (7th Edition)
$\frac{a\times d}{b\times c}$
To divide by a fraction, multiply by its inverse. $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}=\frac{a\times d}{b\times c}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3937 | # Introduction
APOs are something I've been focusing on for a while now, mainly in terms of how we can write and manipulate them in ways that create functions that adhere to our specifications. Interpolation is a special case of this. When we talk about univariate interpolation in the traditional sense, we're discussi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3938 | # American Institute of Mathematical Sciences
doi: 10.3934/era.2020089
## Error estimates for second-order SAV finite element method to phase field crystal model
1 School of Computational Science and Electronics, Hunan Institute of Engineering, Xiangtan 411104, Hunan, China 2 School of Mathematics and Computational... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3939 | Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+
Title Keywords Abstract Author All
Search Results: 1 - 10 of 100 matches for " "
Page 1 /100 Display every page 5 10 20 Item
Mathematics , 2013, DOI: 10.1017/etds.2013.53 Abstract: In this paper, we give a family of rational maps w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3940 | # Difference between revisions of "2017 AMC 10A Problems/Problem 4"
## Problem
Mia is "helping" her mom pick up $30$ toys that are strewn on the floor. Mia’s mom manages to put $3$ toys into the toy box every $30$ seconds, but each time immediately after those $30$ seconds have elapsed, Mia takes $2$ toys out of the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3941 | # Equivalence of Definitions of Metrizable Topology
## Theorem
Let $T = \struct {S, \tau}$ be a topological space.
The following definitions of the concept of Metrizable Topology are equivalent:
### Definition 1
$T$ is said to be metrizable if and only if there exists a metric $d$ on $S$ such that:
$\tau$ is the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3944 | # Equilibrium of JEE!
A straight metal rod of length $$3L$$ is bent through the right angle as shown. The bent rod is then placed on a rough horizontal table. A light string is attached to the vertex of the right angle. The string is then pulled horizontally so that rod slides at a constant velocity $$v$$ .
Find the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3946 | # zbMATH — the first resource for mathematics
Riemannian geometry. (English) Zbl 0636.53001
Universitext. Berlin etc.: Springer-Verlag. XI, 248 p.; DM 48.00 (1987).
This book is an excellent textbook for first year graduate students, and provides the fundamental knowledge for anyone who wishes to specialize in pure ma... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3947 | # Thread: Yo, I need help with extended functions that is continuous at an indicated point.
1. ## Yo, I need help with extended functions that is continuous at an indicated point.
f(x)=((x^3)-1)/((x^2)-1), x=1
2. ## Re: Yo, I need help with extended functions that is continuous at an indicated point.
Originally Pos... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3948 | zbMATH — the first resource for mathematics
Estimating regression functions and their derivatives by the kernel method. (English) Zbl 0548.62028
The fixed sign model of the nonparametric regression problem is considered. Namely, it is required to estimate the unknown regression function $$\mu$$ and its derivatives in ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3949 | +0
# geometry
0
166
3
What is the measure of AC in the figure below?
Feb 25, 2021
#1
+602
+1
Hint: We know that $\angle BAC=\frac12\cdot 118$. Then use that the sum of the angles in a triangle are $180$ and apply the inscribed angle theorem once more to finish. (I'll leave it to you to figure out where)
Feb 25, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3950 | ## 88.23 Smooth groupoids in functors on the base category
The notion of smoothness for groupoids in functors on $\mathcal{C}_\Lambda$ is defined as follows.
Definition 88.23.1. Let $(U, R, s, t, c)$ be a groupoid in functors on $\mathcal{C}_\Lambda$. We say $(U, R, s, t, c)$ is smooth if $s, t: R \to U$ are smooth.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3951 | Change search
Refine search result
1 - 30 of 30
Cite
Citation style
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Other style
More styles
Language
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Other locale
More languages
Output format
• html
• text
• asciidoc
• rtf
Rows per page
• 5
•... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3942 | # Help making a proof about a Lipschitz function rigorous
A function f:R→R is defined to be Lipschitz if there is a constant $K>0$ such that for all a,b∈R $|f(a)−f(b)|≤K|a−b$| (a) Use the mean value theorem to show that the function $f(x)=2sin(x)$ is Lipschitz.
(b) Suppose $f:R→R$ is Lipschitz. Prove that f is contin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3943 | Prove $\sqrt{k}$ is not a rational number. [duplicate]
Suppose $k>1$ is an integer, and k is not a square number, then $\sqrt{k}$ is not a rational number.
Proof:
Let $\sqrt{k}=\frac{p}{q}$, and $(p,q)=1$,So $q^2|p^2$, $p\neq 1$, $k$ is not an integer.When $q=p=1$, and $k>1$.
And $q=1$, then $\sqrt{k}=p$, and $k$ i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14672 | Browse Questions
# If a point P moves such that its distances from the point $A(1,1)$ and the line $x+y+z=0$ are equal, then locus of P is :
(a) a straight line (b) a pair of straight lines (c) a parabola (d) an ellipse
(c) a parabola |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14674 | # zbMATH — the first resource for mathematics
A note on compactness in a fuzzy setting. (English) Zbl 0689.54002
Summary: The concept of filter basis in a fuzzy setting is defined and investigated. Fuzzy filter bases are then used to introduce the notion of compactness in fuzzy setting. The expected basic properties o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14675 | 1. Oct 18, 2009
Taylor1234
M(t) =
(pe^t)^r
------------
(1-qe^t)^r
Can use R(t) = ln M(t) if you choose to.
Any help is greatly appreciated!!!
2. Oct 19, 2009
lurflurf
Are p,q, and r constants or functions of t?
Do you know the derivative of e^t?
The chain rule?
The power rule?
The quotient rule?
3. Oct 19, 20... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14676 | # zbMATH — the first resource for mathematics
Heat kernel bounds, conservation of probability and the Feller property. (English) Zbl 0808.58041
The author studies conditions under which the heat semigroup of a weighted Laplace-Beltrami operator on a Riemannian manifold conserves probability and has the Feller property... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14677 | # zbMATH — the first resource for mathematics
The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings. (English) Zbl 0729.47052
Let C be a nonempty subset of a normed space. An operator T: $$C\to C$$ is called
(i) hemicontractive, if $$\| Tx-p\|^ 2\leq \| x-p\|^ 2+\| x-Tx\|^ 2$$ for ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14678 | +0
# Math Help please Piece Wise Functions.
0
68
6
+216
Let $$f(x) = \begin{cases} k(x) &\text{if }x>0, \\ -\frac1{2x}&\text{if }x< 0\\ 0&\text{if }x=0. \end{cases}$$Find the function $$k(x)$$ such that $$f(x)$$ is its own inverse function.
Nov 1, 2021
#1
+115358
0
The last time I gave you a big answer and you di... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14679 | Mathematics
OpenStudy (anonymous):
can anyone help me with 9th grade math?
OpenStudy (anonymous):
$5/3 + 5 -5 = 8 - 5$
OpenStudy (anonymous):
Isn't true what you have written there is 5/3 = 3
OpenStudy (anonymous):
no its write the way i typed it
OpenStudy (anonymous):
there are no variables in it
OpenStudy (... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.