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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21301 | # Why does Castelnuovo-Mumford regularity require additional twisting?
Let $F$ be a coherent sheaf on $\mathbb P^n$. For simplicity, let it be locally free. It is called $m$-regular (by Castelnuovo-Mumford) if for all $i > 0$ $$H^i(F(m-i)) = 0.$$ If $F$ is $m$-regular, then the induction on $\dim \mathbb P^n$ and the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21309 | # Infinitely many transcendental numbers over Q
My previous question was not well-framed so I will ask again:
Can you explicitly produce an infinite set of real numbers which is algebraically independent over $\mathbb Q$?
-
## 1 Answer
Yes, using the Lindemann-Weierstrass theorem.
Let $S$ be any infinite set of a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21300 | ## Intermediate Algebra (6th Edition)
m=-$\frac{4}{3}$ m=0
Original Equation |2+3m|-9=-7 Add 9 to both sides |2+3m|=2 Take 2+3m and solve 2+3m=2 Subtract 2 from both sides 3m=0 Divide both sides by 3 m=0 Make 2+3m negative and solve -2-3m=2 Add 2 to both sdies -3m=4 Divide both sides by -3 m=-$\frac{4}{3}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13650 | Trigonometry Examples
Find the Exact Value tan(pi/2)
Rewrite in terms of sines and cosines.
The exact value of is .
The expression contains a division by The expression is undefined.
Undefined |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13652 | Representations of $U(d)$. Calculation of Gelfand-Zeitlin patterns for particular vectors.
Following structure is given $\left(\mathbb{C}^d\right)^{\otimes n}$. Consider irreducible representations of $U(d)$. And consider the fully symmetric subspace $T_{\alpha}$ in $\left(\mathbb{C}^d\right)^{\otimes n}$, it has a hi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13653 | 1
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
The length of a longest interval in which the function $$3\,\sin x - 4{\sin ^3}x$$ is increasing, is
A
$${\pi \over 3}$$
B
$${\pi \over 2}$$
C
$${3\pi \over 2}$$
D
$$\pi$$
2
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
The point(s) in the curve ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13654 | # (tan alpha+cot alpha)/(sin alpha-cos alpha)=sec^2 alpha+csc^2 alpha
$\frac{\mathrm{tan}\alpha +\mathrm{cot}\alpha }{\mathrm{sin}\alpha -\mathrm{cos}\alpha }={\mathrm{sec}}^{2}\alpha +{\mathrm{csc}}^{2}\alpha$
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve yo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13655 | # Straight lines as shortest connections
1. Aug 19, 2009
### t_n_p
1. The problem statement, all variables and given/known data
http://img193.imageshack.us/img193/1066/65157866.png [Broken]
3. The attempt at a solution
Since v is a constant vector, I took it out the front of the integral and used the ftc so the int... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13656 | My Math Forum prove there exists an inverse function
Calculus Calculus Math Forum
December 18th, 2012, 08:37 AM #1 Newbie Joined: Dec 2012 Posts: 23 Thanks: 0 prove there exists an inverse function I'm quite new to calculus and frankly speaking I'm studying it on my own. Could you tell me how to solve this: $f: [... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13657 | # Right angles in the clock during a day
Can someone provide a solution for this question ...
Given the hours , minutes and seconds hands calculate the number of right angles the three hands make pairwise with respect to each other during a day... So it asks for the second and hour angle , minute and hour and second ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13658 | Theory and practice
[ MIT ]
Arvind Mithal—almost always referred to as Arvind—is now the head of the faculty of computer science at a Boston trade school. The school, also known as MIT, is of course one of the top places for all things computer science. From education to service to startups to research, MIT is perha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13659 | +0
# write an equation to express the geometric sequence 10, 20, 40, 80...
0
241
3
write an equation to express the geometric sequence 10, 20, 40, 80...
Guest Mar 9, 2017
edited by Guest Mar 9, 2017
edited by Guest Mar 9, 2017
edited by Guest Mar 9, 2017
#1
0
x times two
Guest Mar 9, 2017
#2
0
Sum =F x (1 - R... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13660 | # Are there explicit forms of these integrals
Let $a>0$, and $z_0=r_0e^{i\theta_0}$, where $0<r_0<a$, $0<\theta<\gamma<\frac{\pi}{2}$, do we have a closed form of each of the following integrals $$I_1(r_0,\theta_0)=\int_{0}^{a}{\frac{r}{|r-z_0|}}dr,$$ $$I_2(r_0,\theta_0,\gamma)=\int_{0}^{a}{\frac{r^{-\beta}}{|re^{i\ga... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13662 | # Is there a simple proof that Kirchhoff's circuit laws always provide an exactly complete set of equations?
Suppose I have a complicated electric circuit which is composed exclusively of resistors and voltage and current sources, wired up together in a complicated way. The standard way to solve the circuit (by which ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13663 | # What is Permittivity of Free Space?
Permittivity is an electric constant that measures the ability of a medium to store energy within the medium. If the medium is a vacuum then it is called the permittivity of free space/vacuum (𝜀o).
The value of (𝜀o) is measured by the formula -
$\varepsilon_{o} =\frac{1}{\mu _... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13649 | # Area of a triangle
Geometry Level 3
Find the perimeter of a triangle with vertices at $$(8,3) , (5,5)$$ and $$(3,2)$$.
Give your answer to 2 decimal places.
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13651 | Subjects -> SCIENCES: COMPREHENSIVE WORKS (Total: 374 journals)
Similar Journals
Iranian Journal of Science and Technology, Transactions A : ScienceNumber of Followers: 0 Hybrid journal (It can contain Open Access articles) ISSN (Print) 1028-6276 - ISSN (Online) 2364-1819 Published by Springer-Verlag [2467 journ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13661 | 2 added 396 characters in body
I think that the problems below are open, but maybe I missed something. Definitions follow the problems. All groups are assumed to be finitely generated.
Question 1. Is every Artin group (resp. Shephard group, resp. generalized von Dyck group) residually finite (or even linear)?
Note t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13648 | ## Algebra 1: Common Core (15th Edition)
$a.\quad 3$ $b.\quad n-3$ $c.\displaystyle \quad \frac{1}{2}n^{2}-\frac{3}{2}n$ $d.\quad 20$
a. The polygon has six sides. From one vertex: three diagonals. b. It will have $n-3$ diagonals, \\ as we can not join the vertex with itself and its two neighboring vertices to form a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12593 | ×
This is an archived post. You won't be able to vote or comment.
[–] 28 points29 points (4 children)
Here are some modern masterpieces (big theorems/theories that contain surprising connections or revolutionary proofs):
• Thurston's Geometrization conjecture which says topological 3-manifolds can be classified by... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12595 | # Magnetic force on a wire
1. Nov 22, 2008
### Sheneron
1. The problem statement, all variables and given/known data
A packed bundle of 100 long, straight, insulated wires forms a cylinder of radius R = 0.500 cm.
(a) If each wire carries 2.00 A, what are the magnitude and direction of the magnetic force per unit len... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12596 | # Effective domain
In convex analysis, a branch of mathematics, the effective domain is an extension of the domain of a function.
Given a vector space X then a convex function mapping to the extended reals, $f: X \to \mathbb{R} \cup \{\pm \infty\}$, has an effective domain defined by
$\operatorname{dom}f = \{x \in X... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12597 | ## Real symmetric matrices are diagonalizable
This article involves advanced linear algebra knowledge but it definitely worth understanding it. The previous post contains a proof that a real symmetric matrix has real eigenvalues. Additionally the real symmetric matrices are diagonalizable by an orthogonal matrix. This... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12598 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# Find the values of $p$ for which the integral converges and evaluate the integral for those values of $p$.$\displaystyle \int_e^\infty \frac{1}{x (\ln x)^p}\ dx$
## converges to $\frac{1}{p-1}$ only if $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12599 | # Galois representation associated to a modular form is crystalline iff…
I am looking for the reference for the following fact (used, for example, in the proof of theorem 4.4. in Breuil's expose about local-global compatibility at Bourbaki):
For $f$ a modular cuspidal form of weight $k \geq 2$, let $\rho _f$ be the a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12601 | # Assertion (A): The closed-loop pole-zero dipole introduced by the PI controller does not contribute significantly to the transient response of the closed-loop system.Reason (R): The PI controller adds a pole at s = 0 and a zero at s = −z to the closed-loop transfer function.
This question was previously asked in
UGC... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12603 | # Polynomials
Algebra Level 4
$\large (a-c)(b-c)(a+d)(b+d)$
If $$a$$ and $$b$$ are the zeros of $$f(x)= x^2+px+1$$, and $$c$$ and $$d$$ are the zeros of $$g(x)= x^2+qx+1$$. What is the value of the expression above?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12604 | +0
# This one im struggling with?
0
142
2
Aldrich Ames is a convicted traitor who leaked American secrets to a foreign power. Yet Ames took routine lie detector tests and each time passed them. How can this be done? Recognising control questions, employing unusual breathing patterns, bitting one's tongue at the righ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12605 | # An algebra problem by Ninad Akolekar
Algebra Level 2
Find the number of all values of 'a' such that the three equations $$ax + y = 1$$ ;$$x + y =2$$ and $$x-y = a$$ are satisfied by the same ordered pair (x, y). Given that x, y and a are real numbers.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12606 | ## Tag Archives: irreducible polynomial
### A fact about polynomials over a perfect field
Let $K$ be an extension of $F$, with $F$ a perfect field. Suppose $p(x) \in F[x]$ has no repeated irreducible factors; prove that $p(x)$ has no repeated irreducible factors in $K[x]$.
Suppose $p$ has no repeated irreducible fac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12607 | # Chapter 3 - Section 3.4 - The Slope-Intercept Form of the Equation of a Line - Exercise Set - Page 252: 6
m=-$\frac{3}{4}$ y-intercept=6
#### Work Step by Step
The equation is in the form of y=mx+b where m is slope and b is the y-intercept. Therefore, m=-$\frac{3}{4}$ and y-intercept=6.
After you claim an answer ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12592 | # Chapter 6 - Review Questions - Page 501: 96
$cos^{-1}(\frac{\sqrt 3}{2})=\frac{\pi}{6}$
#### Work Step by Step
The range of $cos^{-1}~x$ is $[0,\pi]$. So, $cos^{-1}~(\frac{\sqrt 3}{2})=\frac{\pi}{6}$, because $cos(\frac{\pi}{6})=\frac{\sqrt 3}{2}$ and $0\leq\frac{\pi}{6}\leq\pi$
After you claim an answer you’ll h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12594 | ## Intermediate Algebra for College Students (7th Edition)
$x=10000$
If the number of sales a week is $x$, then the commission is $0.05x$ Then the equation is $300+0.05x=800\\0.05x=500\\x=10000$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12602 | # Moderate deviations of subgraph counts in the Erdős-Rényi random graphs $G(n,m)$ and $G(n,p)$
Goldschmidt, C
Griffiths, S
SCOTT, A
## Journal:
Transactions of the American Mathematical Society
## Last Updated:
2020-10-10T17:39:59.29+01:00
## abstract:
rate associated with moderate deviations of subgraph counts... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12600 | # Electric potential convention
by Shinobii
Tags: electric potenial, electrostatcs
P: 34 Hello, The electric potential is defined as: $$\phi(\vec{r}) = \int d^3r' \frac{\rho(\vec{r}')}{|\vec{r} - \vec{r}'|}.$$ My question is, for solving for the potential inside of a charged solid sphere (constant charge density) by ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6464 | Journal article Open Access
A New Approach to the Generation Time in Matrix Population Models
François Bienvenu; Stéphane Legendre
JSON Export
{
"files": [
{
"self": "https://zenodo.org/api/files/aeb23d96-354b-44bb-8fd3-7bed6a9fe3b7/BienvenuLegendreAmNat2015.pdf"
},
"checksum": "md5:2282b84b0791fe506abd1f0c573869c9... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6466 | # Thread: a little stuck on this one
1. ## a little stuck on this one
I'm having some trouble figuring out how to find the symmetries, horizontal asymptote, max and min and inflection points on y=x2/1-x2.
Iv'e already found out the horizontal asymptote and the x and y intercepts, but am stuck on the rest. Can anybod... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6467 | Boyle's Law.............?
Boyle's Law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of its volume.
1 Answer
Relevance
• 1 decade ago
Favorite An... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6468 | In this exercise, I implemented in MATLAB and Python the linear regression model for one and multiple variables and got to see it work on data. The code is available for MATLAB and Python; however, I will be commenting only on Python code.
Key Takeaways:
1. Linear Regression with One and Multiple variables
2. Plottin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6469 | kixEffinsoj
2022-06-20
Let $A$ be a unital not-necessarily commutative algebra, defined over $\mathbb{R}$ or $\mathbb{C}$. Take some $\alpha$ a non-unital algebra automorphism of $A$. Is it possible to find an example for $A$ and $\alpha$ such that $1-\alpha \left(1\right)$ is non-invertible in $A$?
### Answer & Exp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6471 | The quantum operations formalism is a general tool for describing the evolution of quantum systems in a wide variety of circumstances, including stochastic changes to quantum states, much as Markov processes describe stochastic changes to classical states.
# Quantum noise and quantum operations
# Quantum operations
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6473 | # When we can use mathematical induction and when we can't?
I am in my undergraduate level, but, still it is not clear to me "When we can use induction?"
Though I have a rough idea on the later question, I think when we have a successor function which maps $$P(n)\mapsto P(n+1)$$, where, $$P(n)$$ is a proposition whic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6474 | # Some problems in Hermitian energies of mixed graphs
: 15h00, ngày 24/06/2022 (Thứ Sáu)
: P104 D3
: Seminar Toán rời rạc
: Ngô Quốc Hoàn
: Viện Toán ứng dụng và Tin học, ĐH Bách Khoa Hà Nội
#### Tóm tắt báo cáo
The Hermitian adjacency matrix of a mixed graph $G = (V, E)$ of order $n$ is the $n \times n$ matrix ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6475 | ## 22.7 Estimating sample sizes: one mean
For a specified level of confidence, the width of a CI depends on the size of the sample. In general, larger samples produce more precise estimates of the parameter (Sect. 5.2), and hence narrower CIs.
To determine the sample size needed to estimate a sample mean with a given... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6476 | To Infinity and Beyond. Introduction
Review of Set Theory
Functions
Countability
Cardinality
Hilbert's Grand Hotel
To Infinity and Beyond
A Review of Set Theory: Cardinality
by Maliha Hossain, proud member of the Math Squad
## Cardinality
The cardinality of a set is the number of elements in the set. Or rather it ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6478 | Home | Overview | Browser | Access | Login | Cookbook | nonSurvey
### Glossary of WSA NonSurvey attributes (UKIDSSDR10)
##### This Glossary alphabetically lists all attributes used in the WSA NonSurvey database(s) held in the WSA. If you would like to have more information about the schema tables please use the Schem... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6479 | American Institute of Mathematical Sciences
September 2017, 7(3): 325-344. doi: 10.3934/naco.2017021
Analysis of optimal boundary control for a three-dimensional reaction-diffusion system
1 Zhuhai College of Jilin University, Zhuhai, China 2 School of Science, Curtin University, Australia 3 Department of Mathemati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6465 | # Problem #1898
1898 A box contains 2 red marbles, 2 green marbles, and 2 yellow marbles. Carol takes 2 marbles from the box at random; then Claudia takes 2 of the remaining marbles at random; and then Cheryl takes the last 2 marbles. What is the probability that Cheryl gets 2 marbles of the same color? $\textbf{(A)}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6472 | Optimally approximating the sign function by functions with compactly supported Fourier transform
I'm looking for a systematic way to approximate the sign function
$$sgn(x)=\begin{cases}1&\text{ if }x\geq 0\\-1&\text{ if }x<0,\end{cases}$$
by functions $$f$$ whose (distributional) Fourier transforms $$\hat{f}$$ are ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6477 | Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!
# Mark the tick against the correct answer in the following:
Question:
Mark the tick against the correct answer in the following:
Let $A=\{a, b, c\}$ and let $R=\{(a, a),(a, b),(b, a)\} .$ Then, $R$ is
A. reflexive and symmetric but not tra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6470 | # Differential Homework Questions
1. Oct 23, 2004
### MrBioMedic
Hello everyone - I have a couple questions about some homework problems that I am hoping I can get some help with - Here they are and thank you for the help in advance.
for the system dY / dt = | a 1 | (2 by 2 matrix)
----------------------- | 0 -1 |
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17521 | The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side.
Question:
The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum leng... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17522 | CoCalc Shared Filescode / nicholas-scratch.sagews
%attach compute_lambda.sage
Compiling ./modular_symbol_map.pyx...
%time t17a = compute_dist(EllipticCurve('17a'), 3, 100000)
1 1 There are 4784 primes to use up to 100000 Starting... X X X X X X X X X X CPU time: 306.79 s, Wall time: 306.79 s
plot_histogram(t17a)
run... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17523 | # Compton collision
1. Nov 20, 2013
### bobie
1. The problem statement, all variables and given/known dataThis is not homework, I am trying to understand Compton scattering considering it a normal elatic collision between particles
2. Relevant equations
The Klein–Nishina formula
Suppose a photon (hf= 0.511 MeV) hit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17524 | ### Home > CC4 > Chapter 3 > Lesson 3.2.1 > Problem3-79
3-79.
Write the equation of the line containing the points given in the table below. 3-79 HW eTool (Desmos) Homework Help ✎
$x$ $2$ $4$ $6$ $8$ $f(x)$ $2$ $3$ $4$ $5$
$y=\frac{1}{2}x+1$
Complete the table in the eTool below to view the graph of the points.
C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17526 | ## samalami Group Title can someone please help Pre calc please?? It's A, B, C, or D picture attached vvv xoxo one year ago one year ago
1. samalami
2. EulerGroupie
Use pythagorean theorem to get your third side, then use triangular trig ratios to get the trig functions... like sin(theta)=opp/hyp, cos(theta)=adj/hyp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17527 | ### Un principio di linearità per le inferenze predittive
M. C. Di Maio
The determination of probability functions capable of taking into account the existing similarities among possible outcomes is still an open problem among the issues concerning predictive inference. In fact, the solutions which have been proposed ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17529 | # Example for a continuous function that has directional derivative at every point but not differentiable at the origin
Can we find a function $f:\mathbb R^n\to\mathbb R$ that such that $f$ is continuous and $\partial_v f(p)$ exists for all $p\in\mathbb R^n$ and $v\in\mathbb R^n$. But $f$ is not differentiable at $0$?... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17530 | Web: http://arxiv.org/abs/2101.01350
May 12, 2022, 1:11 a.m. | Xiangyu Yang, Jiashan Wang, Hao Wang
This paper primarily focuses on computing the Euclidean projection of a
vector onto the $\ell_{p}$ ball in which $p\in(0,1)$. Such a problem emerges as
the core building block in statistical machine learning and signal... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17531 | # zbMATH — the first resource for mathematics
A new construction for cancellative families of sets. (English) Zbl 0851.05092
Electron. J. Comb. 3, No. 1, Research paper R15, 3 p. (1996); printed version J. Comb. 3, No. 1, 207-209 (1996).
Summary: We say a family, $$H$$, of subsets of an $$n$$-element set is cancellati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17532 | # Neumann Boundary Condition Numerical Method
This paper is concerned with the numerical solution of the nonlinear Schrödinger (NLS) equation with Neumann boundary conditions by quintic B-spline Galerkin finite element method as the shape and weight functions over the finite domain. Typically we need to specify bounda... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17533 | # Relativistic angular momentum and cyclic coordinates
1. Jan 10, 2012
### maverick_starstrider
I'm getting myself confused here. If my relativistic Lagrangian for a particle in a central potentai is
$$L = \frac{-m_0 c^2}{\gamma} - V(r)$$
should
$$\frac{d L}{d \dot{\theta}}$$
not give me the angular momentum (wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17534 | # Complex Zeros of Cylinder Functions
Boro Doring
Mathematics of Computation
Vol. 20, No. 94 (Apr., 1966), pp. 215-222
DOI: 10.2307/2003501
Stable URL: http://www.jstor.org/stable/2003501
Page Count: 8
You are not currently logged in.
Access your personal account or get JSTOR access through your library or other ins... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17520 | # Find $\lim_{x\to \infty} \ln(x+1)/(\ln(x))$
I have to solve: $\lim\limits_{x\to \infty} \frac{\ln(x+1)}{\ln(x)}$. Can you give me any hints to go? Thanks a lot!
-
$$\lim\limits_{x\to +\infty} \frac{\ln\left(x+1 \right)}{\ln(x)}=\lim\limits_{x\to +\infty} \frac{\ln\left(x\left(1+\frac{1}{x}\right)\right)}{\ln(x)}=\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17528 | # Definitions, simple applications, and graphs of trigonometric (Page 6/7)
Page 6 / 7
$\theta$ 0 ${}^{\circ }$ 30 ${}^{\circ }$ 60 ${}^{\circ }$ 90 ${}^{\circ }$ 120 ${}^{\circ }$ 150 ${}^{\circ }$ $cos\theta$ $\theta$ 180 ${}^{\circ }$ 210 ${}^{\circ }$ 240 ${}^{\circ }$ 270 ${}^{\circ }$ 300 ${}^{\circ }$ 330 ${}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17535 | # A uniform rod of length $'l'$ whose mass per unit length is $\lambda$. The gravitational force on a particle of mass m located at a distance d from one end of the rod as shown is
$(a)\;\frac{Gm\lambda l}{d(d+l)} \quad (b)\;\frac{Gm\lambda }{l(d+l)} \quad (c)\;\frac{Gml}{\lambda(d+l)} \quad (d)\;\frac{2Gm\lambda l}{d(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17525 | # Asymptotic distribution of $\frac{\overline x_n+ \overline y_n}{\overline x_n- \overline y_n}$
Let $$x_1, \ldots, x_n$$ and $$y_1, \ldots, y_n$$ be two independent random samples from $$X$$ and $$Y$$. We have $$\mu_X = E (X ) > 0, \mu_Y = E (Y ) > 0$$ and $$\sigma^2_X = Var (X )$$ and $$\sigma^2_Y = Var (Y )$$. Deri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9872 | # Calculate the following Integral $\int_{0}^{\infty} \frac{|\sin(\pi*x)|}{\lfloor x \rfloor} dx$
So I have to calculate the following Integral: $$\int_{0}^{\infty} \frac{|\sin(\pi*x)|} {\lfloor x \rfloor} dx$$
I know how to calculate improper Integrals, but I really do have a problem with the $$\lfloor x \rfloor$$ (... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9873 | # Ngô Quốc Anh
## April 11, 2010
### The Pohozaev identity: Semilinear elliptic problem with polygonal nonlinearity
Filed under: PDEs — Tags: — Ngô Quốc Anh @ 12:15
Let us start with the Pohozaev identity for semilinear elliptic equation with polygonal nonlinear terms of the form
$\displaystyle -\Delta u = |u|^{p-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9874 | # 400years of MATHEMATICSby T. D. Spearman
Francis Bacon, writing in 1620, expressed his opposition to pure, mystic and self-sufficient mathematics, entirely severed from matter and from axioms of natural philosophy, serving only to satisfy an appetite for expatiation and meditation which were incidental to the human ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9878 | # Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty
## Strong Cohomological Dimension
### Tom 56 / 2008
Bulletin Polish Acad. Sci. Math. 56 (2008), 183-189 MSC: 55M10, 54F45. DOI: 10.4064/ba56-2-9
#### Streszczenie
We characterize strong cohomological dimension of separable metr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9879 | # Quotient Rule
## Reference > Calculus: Differentiation
Description$(\frac{f}{g})'=\frac{f'g-fg'}{{g}^{2}}$
Examples$\frac{d}{dx} \frac{\sin{x}}{{x}^{2}}$1 Use Quotient Rule to find the derivative of $$\frac{\sin{x}}{{x}^{2}}$$. The quotient rule states that $$(\frac{f}{g})'=\frac{f'g-fg'}{{g}^{2}}$$.$\frac{{x}^{2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9881 | Does closed under unions of chains imply closed under unions of upward directed families of sets?
In the book "A Course in Universal Algebra" from Burris and Sankappanavar, in the section 1.5, during the exercises, there is something like that:
"Given a set $$A$$ and a family $$K$$ of subsets if $$A$$, $$K$$ is said ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9882 | # How did Lorentz transformations get their modern definition?
Historically, Special Relativity was motivated by apparent inconsistencies between Maxwell's Electrodynamics and Newtonian Mechanics. In Einstein's well known paper "On the electrodynamics of moving bodies" he explains quite well his motivations.
Central ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9883 | ### 2005-07
#### On the optimality of group-wise balanced designs in a class of linear mixed models
Series: 2005-07, Preprints
MSC:
62K05 Optimal designs
62J10 Analysis of variance and covariance
62H12 Estimation
62P10 Applications to biology and medical sciences
Abstract:
We consider designs for linear mixed model... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9884 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 19 Apr 2019, 14:08
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9885 | Relative density
Relative density is a ratio of the densities of two materials. The term specific gravity is similar but not same. In specific gravity, the reference material is water. Mathematically, relative density is shown as:
${\displaystyle G={\frac {\rho _{\mathrm {object} }}{\rho _{\mathrm {reference} }}}\,}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9886 | ## Calculus (3rd Edition)
$(\frac{f}{g})'(1) = -1$
We know that: $(\frac{f}{g})' = \frac{gf' - fg'}{g^2}$ By substituting the values we are given, we get: $(\frac{f}{g})'(1) = \frac{2*2 - 2*4}{2^2}$ Which can then simplify to: $(\frac{f}{g})'(1) = -1$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9887 | # What is the effect size in ANOVA: $\eta$ or $\eta^2$?
In Discovering Statistics Using R by Andy Field (2012) it seems that the effect size is $\eta$:
For some bizarre reason, in the context of ANOVA, $r^2$ is usually called eta squared, $\eta^2$. It is then a simple matter to take the square root of this value to g... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9875 | # Stuck on Simple Projectile Motion
1. Oct 18, 2004
### descartes75
Hi,
There has to be a simple way of solving this and I am missing it:
A student throws a baseball at a maximum speed of 25 m/s towards a window 50 meter away (horizontally) and 13 meters high. Can he hit the window? (assume the base of the window s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9876 | # The Sample Headrick and Sheng L-alpha
Share:
### Description
Compute the sample Headrick and Sheng “L-alpha” (Headrick and Sheng, 2013) by
α_L = \frac{d}{d-1} \biggl(1 - \frac{∑_j λ^{(j)}_2}{∑_j λ^{(j)}_2 + ∑∑_{j\ne j'} λ_2^{(jj')}} \biggr)\mbox{,}
where j = 1,…,d for dimensions d, the ∑_j λ^{(j)}_2 is the summa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9880 | # Lamé's proof of Fermat Last Theorem for n=3
Among the great mathematicians who struggled to try and figure out a proof of Fermat's last theorem in 19th century, Lamé was probably one of the most convinced in having succeded. I first came across this topic when reading the book $$\textit{Fermat's Last Theorem. A Gene... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9877 | # Math Help - Value of x, over 1
1. ## Value of x, over 1
Sorry, didn't really know what title to use
How did I get this question wrong?
what is $\frac{1}{x+2}$ given that $\frac{1}{x}=3.5$???
My WIP
EDIT: sorry realised my fault. But can anyone answer me? I need the method because I know that answer is 7/16
2. Or... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5136 | # Ex.13.1 Q2 Surface Areas and Volumes Solution - NCERT Maths Class 10
Go back to 'Ex.13.1'
## Question
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $$14\;\rm{cm}$$ and the total height of the vessel is $$13 \;\rm{cm}$$. Find the inner surface area o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5137 | IEVref: 141-01-06 ID: Language: en Status: Standard Term: order, Synonym1: Synonym2: Synonym3: Symbol: Definition: number k in the expression ${\vartheta }_{0}-2\pi \frac{\left(i-1\right)k}{m}$ for the initial phase of quantity number i of the set of m quantities forming a symmetric polyphase system, where ${\vartheta ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5140 | Logarithmic function
Logarithm with base . The logarithm of with base , denoted by , is defined as the unique value satisfying . In other word we have
if and only if (1)
Immediate properties of logarithms are as follows:
Common and natural logarithms. The common logarithm of (denoted by ) and the natural logari... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5141 | # zbMATH — the first resource for mathematics
Intertwining operators and residues. II: Invariant distributions. (English) Zbl 0936.22012
Let $$G$$ be a connected reductive group over a local field $$F$$. The paper is a continuation of Part I [the author, J. Funct. Anal. 84, No. 1, 19–84 (1989; Zbl 0679.22011)], but al... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5142 | # zbMATH — the first resource for mathematics
On generators of arithmetic groups over function fields. (English) Zbl 1231.11047
Let $${\mathbb F}_q$$ be the finite field with $$q$$ elements, $$A={\mathbb F}_q[T]$$ the polynomial ring, and $$F={\mathbb F}_q(T)$$ the field of rational functions in an indeterminate $$T$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5143 | # Countable (?) dependent choice
In some circumstances I've been using a form of choice over the first uncountable ordinal knowing a priori that only a countable number of choices were going to be made (without any a priori upper bound). I would like to know whether I was using the classical dependent choice or someth... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5145 | # Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 782: 54
$-33i+13j$.
#### Work Step by Step
Put $u=-2i+3j,v=6i-j$, $w=-3i$ in the expression $3u-\left( 4v-w \right)$. Then, \begin{align} & 3u-\left( 4v-w \right)=3\left( -2i+3j \right)-\left( 4\left( 6i-j \right)-\left( -3i \right) \right) \\ & =-6i+9j-\left... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5147 | # Can we interpret arithmetic in set theory, with exactly PA as the ZFC provable consequences?
There are many interpretations of arithmetic in set theory. The Zermelo interpretation, for example, begins with the empty set and applies the singleton operator as successor: $$0=\{\ \}$$ $$1=\{0\}$$ $$2=\{1\}$$ $$3=\{2\}$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5148 | # Abstract:
The validation set of a formula in a fuzzy logic is the set of all truth values which this formula may achieve. We summarize characterizations of validation sets of S-fuzzy logics and extend them to the case of R-fuzzy logics. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5149 | # Polars again
## Homework Statement
A.Using polar coordinates, evaluate the improper integral of e^(-10(x^2+y^2))dxdy
B. use part A to integrate from negative infinity to positive infinity of e^(-10x^2)dx
2. Homework Equations [/b]
## The Attempt at a Solution
i got part A to be pi/10, but for part B i clueless, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5150 | # Math Help - Identities help.
1. ## Identities help.
Ok so I've been given sin(2a) = (5/13) 0 deg< a < 45 deg.
How would I go about solving for sin.. I've been trying to use the double angel formula's and not much quite works.
2. Originally Posted by Chimera
How would I go about solving for...
... for a? Take the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5151 | You are currently browsing the tag archive for the ‘equidistribution’ tag.
The equidistribution theorem asserts that if ${\alpha \in {\bf R}/{\bf Z}}$ is an irrational phase, then the sequence ${(n\alpha)_{n=1}^\infty}$ is equidistributed on the unit circle, or equivalently that
$\displaystyle \frac{1}{N} \sum_{n=1}^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5139 | Lemma 10.120.2. Let $R$ be a domain. Let $x, y \in R$. Then $x$, $y$ are associates if and only if $(x) = (y)$.
Proof. If $x = uy$ for some unit $u \in R$, then $(x) \subset (y)$ and $y = u^{-1}x$ so also $(y) \subset (x)$. Conversely, suppose that $(x) = (y)$. Then $x = fy$ and $y = gx$ for some $f, g \in A$. Then $x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5144 | # ODE Theory Question
1. Feb 7, 2013
### smerhej
1. The problem statement, all variables and given/known data
We have y'' + 4y' + 4y = 0 ; find the general solution.
2. Relevant equations
Reduction of Order.
3. The attempt at a solution
So when determining the roots of the characteristic equation, -2 was a doub... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5146 | # Worksheet on Multiplying 1-Digit Numbers
Multiplication tables will help us to solve the worksheet on multiplying 1-digit numbers. The questions are based on multiplying one digit number and word problems on multiplying one digit number.
1. Fill up the gaps:
(i) 9 × 7 = (ii) 8 × 8 = (iii) 6 × 5 = (iv) 4 × 4 = (v)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5138 | location: Publications → journals
Search results
Search: All articles in the CJM digital archive with keyword subdifferential
Expand all Collapse all Results 1 - 4 of 4
1. CJM 2006 (vol 58 pp. 64)
Filippakis, Michael; Gasiński, Leszek; Papageorgiou, Nikolaos S.
Multiplicity Results for Nonlinear Neumann P... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1072 | ### 47.2 Euler decomposition
Key points
• The Euler decomposition (47b.42) allows us to compute additive contributions for positive homogeneous risk/satisfaction measures.
• We illustrate the Euler decomposition computations in the elliptical and scenario-probability case for several measures, including the variance ... |
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