id
stringlengths
27
136
text
stringlengths
4
1.05M
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7664
Rimhak Ree Quick Info Born 18 December 1922 Hamhung, South Hamgyong Province, Korea (now North Korea) Died 9 January 2005 Summary Rimhak Ree was a Korean-born Canadian mathematician who worked in group theory. Biography Rimhak Ree (whose name is sometimes given as Im-hak Ree) was born in Hamhung which is today the...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5024
# American Institute of Mathematical Sciences January  2011, 10(1): 339-359. doi: 10.3934/cpaa.2011.10.339 ## On the global attractor of the Trojan Y Chromosome model 1 Clarkson University, Department of Mathematics & Computer Science, 106 Technology Advancement Center, Potsdam, NY 13676, USA Government 2 Mathemati...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5027
# Worked example: Area enclosed by cardioid ## Video transcript - So this darker curve in blue is the graph of r is equal to 1 minus cosine of theta, of course we're dealing in polar coordinates here. And what I'm interested in is to see if we can figure out the area enclosed by this curve. And I encourage you to pau...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5028
# How would you take the limit of this? 1. May 21, 2012 ### 1MileCrash I was just thinking about the golden ratio, and how it is a solution to the equation x^2 - x - 1 = 0. So I wondered what it would be like to make a similar higher degree equation. x^3 - x^2 - x - 1 = 0 To which the positive solution is 1.84.. ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5029
# Henri Gillet's research while affiliated with University of Illinois at Chicago and other places ## Publications (64) Article Full-text available We consider a short sequence of hermitian vector bundles on some arithmetic variety. Assuming that this sequence is exact on the generic fiber we prove that the alternate...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5030
Median Finding the median in sets of data with an odd and even number of values. The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data se...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5032
If n is an odd integer, Question: If n is an odd integer, then show that n2 – 1 is divisible by 8. Solution: Let $\quad a=n^{2}-1 \quad \ldots$ (i) Given that, $n$ is an odd integer. $\therefore$ $n=1,3,5, \ldots$ From Eq. (i), at $n=1, a=(1)^{2}-1=1-1=0$, which is divisible by $8 .$ From Eq. (i), at $n=3, a=(3...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5034
# Proving Certain Polynomials Form a Group Abstract algebra can be a huge leap for many students, who may know algebra well, but are not used to abstraction – generalizing the concept of numbers so we can invent new kinds of “numbers” and “operations” and comparing their properties. Here we will look at a question fro...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5035
# Sunshine Health established a $130 petty cash fund on January 1. From January 2 through 10,... ###### Question: Sunshine Health established a$130 petty cash fund on January 1. From January 2 through 10, payments were made from the fund, as listed below. On January 12, the fund had only $16 remaining; a cheque was wri...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5036
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). From Serge Lang's Algebra: ## Theorem 9.1.1 Let $k$ be a field, and let $k[x]:=k[x_1,...,x_n]$ be a finitely generated $k$-algebra. Let $\phi:k\to L$ be an embeddin...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5037
# 15: Time-dependent Quantum Dynamics Postulate V states how the time-dependent Schrödinger equation describes the evolution of a system’s wavefunction through time. ### Introduction The Schrödinger equation is the basis for quantum mechanics. The solutions to the equation, known as wave functions, give complete qua...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5039
# A projectile is shot at a velocity of 2 m/s and an angle of pi/12 . What is the projectile's maximum height? Jul 13, 2017 $\text{maximum height} = 0.0137$ $\text{m}$ #### Explanation: We're asked to find the maximum height reached by a projectile given its initial speed and launch angle. At its maximum height, t...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5025
Browse Questions # Show that the equation $x^2-3xy+2y^2+3x-5y+2=0$ represents two straight lines.Find the angle between them. This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5033
# Mixing Times 3 – Convex Functions on the Space of Measures The meat of this course covers rate of convergence of the distribution of Markov chains. In particular, we want to be thinking about lots of distributions simultaneously, so we really to be comfortable working with the space of measures on a (for now) finite...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5038
# American Institute of Mathematical Sciences June  2018, 12(3): 527-543. doi: 10.3934/ipi.2018023 ## Recovering a large number of diffusion constants in a parabolic equation from energy measurements Politecnico di Milano, Piazza Leonardo da Vinci 32, 2013 Milano, Italy Received  April 2017 Revised  November 2017 ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5031
# Math Help - More integrals 1. ## More integrals $\int \frac{\sec\:x\;\cos\:2x}{\sin\;x+\sec\;x}\;dx$ Thanks 2. Originally Posted by polymerase $\int \frac{\sec\:x\;\cos\:2x}{\sin\;x+\sec\;x}\;dx$ Thanks IDK if this is the best way to get the answer, but it's how I found it. Fist, cos2x = cos^2x-sin^2x so $=\int ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18064
nLab model structure on algebras over a monad Contents Context Model category theory Definitions Morphisms Universal constructions Refinements Producing new model structures Presentation of $(\infty,1)$-categories Model structures for $\infty$-groupoids for ∞-groupoids for equivariant $\infty$-groupoids f...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18065
GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 19 Oct 2018, 10:47 ### 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_18066
# The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is : Option 1) Option 2) Option 3) Option 4) As we learnt in Specific heat capacity at constant pressure - $C_{p}= C_{v}+R$ $= \left ( \frac{f}{2}+1 \right )R$ - wherein f = degree of freedom R= Universal gas co...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18067
# what does “D = diag(W.1)” means? , what does “D = diag(W.1)” means?on page #2, just below equation (6) PFA screenshot and here is the link of the paper - original paper • – Rodrigo de Azevedo Jul 11 '19 at 10:30 • It already has answers there, please don't cross-post. That way, you don't waste people's time. – nico...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18068
# Generalizing a proof for the density of stopped subordinators Is it possible to generalize the proof of the statement below to general Lévy kernels $\rho(r)dr$ or even Lévy-type kernels $\rho(x,r)dr$ (in the sense of Lévy Matters III by Böttcher et al.)? Otherwise, can you give an alternative proof of the general c...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18069
Browse Questions # According to the properties of lograthmic functions, what is the value of: $\log_a \large \frac{x}{y}$? Answer: $\log_a \large \frac{x}{y}$$= \log_a x - \log_a b$
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18071
# zbMATH — the first resource for mathematics Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. 3rd printing. (English) Zbl 1113.53001 Modern Birkhäuser Classics. Basel: B...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18072
# "Show that fY|X(y) is a density function of a true probability distribution" #### xandalorian ##### New Member Where do I begin?? The course I'm taking is focusing heavily on proofs like this, and I'm studying it at a distance so my opportunity to ask questions are very limited. I've ordered a book dealing with how...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18073
• defiant9 #104 Ki mondta hogy ugyanaz a szingularitás mint az eseményhorizont, annak hogy trivialitásokat írsz lekonyuló szájjal nem sok értelme van. Ha szingularitás maga a fekete lyuk akkor hogyan tudnál értelmezni ezt a mondatot: "The size of a black hole, as determined by the radius of the event horizon, or Schwa...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18074
So I have the following problem: Prove that if $\displaystyle x$ is prime and $\displaystyle n$ is not an integer multiple of $\displaystyle x$, then $\displaystyle n^{x-1} \equiv 1 \mod{x}$. I could really use some help getting this problem started and would appreciate a nudge in the correct direction. Thanks for any ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18075
# Math Help - Compute E[X(X-1)] 1. ## Compute E[X(X-1)] Question : A Binomial variate $X$ has the mean $6$ and standard deviation $\sqrt{2}$. Find its moment generating function. Hence obtain $E[e^{2X+3}]$. Also compute $E[X(X-1)]$ 2. Originally Posted by zorro Question : A Binomial variate $X$ has the mean $6$ and ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18077
# Questions Asked onDecember 7, 2016 1. ## Math Rationalize each dominator and simplify. All variables represent positive numbers. 10 / 5-√5 I tried but I couldn't get the answer right. 2. ## English 1. The greeks believed that zeus, the king of the gods, lived on mount olympus. 2. The titanic sank after hitting an...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18078
Here's the question you clicked on: ## sandra Group Title Can someone help me with basic derivatives: 3x^2 + 5x + 5? 3 years ago 3 years ago • This Question is Closed 1. Ana2 Group Title 6x + 5 2. A_clan Group Title 3(2X) + 5 3. clauixx Group Title 6x+5 4. Ana2 Group Title The rules are: derivative of x^n = n ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18070
# Change in velocity 1. Oct 11, 2005 ### NMW 2) the driver of a 600kg sports car, heading directly for a railroad crossing 250m away, applies the brakes i a panic stop. the car is moving at 40m/s, and the brakes can supply a friction force of 1200N. a) how fast is the car moving when it reaches the crossing? - i tr...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18079
Explore BrainMass # Real analysis: Lebesgue Integral Not what you're looking for? Search our solutions OR ask your own Custom question. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! Prove theorem 7.3 in notes attached. Section 7: The Lebesgue Integral ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5281
# How many sides does a snowflake have? Math Riddle:  How many sides does a snowflake have? Answer: The correct answer is 6.
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5282
# How do you solve the inequality 10< 5-2d? Feb 8, 2016 $d < - \frac{5}{2}$ #### Explanation: $10 < 5 - 2 d$ Subtract 5 in both sides; $5 < - 2 d$ Now divide by -2. In inequalities if we divide or multiply by negative numbers, we must change the comparison sign, i.e. $a > b \implies - a < - b$ So we have: $- ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5285
# Tag Info 0 Aluminium is a metal thus formed of metallic bonds. The positive Al cations are regularly arranged in a lattice and surrounded by a sea of free/delocalised negatively charged electrons (therefore metals can conduct electricity). The negative charge of electrons and positive charge of cations have strong ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5286
main-content ## Über dieses Buch This book presents the latest advances in the theory and practice of Marshall-Olkin distributions. These distributions have been increasingly applied in statistical practice in recent years, as they make it possible to describe interesting features of stochastic models like non-exchan...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5287
# Reflexive cones Reflexive cones Reflexive cones in Banach spaces are cones with weakly compact intersection with the unit ball. In this paper we study the structure of this class of cones. We investigate the relations between the notion of reflexive cones and the properties of their bases. This allows us to prove a ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5288
An error was encountered while trying to add the item to the cart. Please try again. The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below. Copy To Clipboard Successfully Copied! Compact Connected Lie Transformation Groups on Spheres wit...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5289
# Question about Proof: Semi-decidable => Recursively Enumerable Def. A set A is recursively enumerable if $$A = \emptyset$$ or if there exists a total computable function $$g$$ such that $$A = R(g)= \{z | \exists x. g(x) = z \}$$. Def. A set A is semi-decidable if there exists a computable function f such that $$f(x...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5291
assignmentutor™您的专属作业导师 assignmentutor-lab™ 为您的留学生涯保驾护航 在代写微观经济学Microeconomics方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写微观经济学Microeconomics代写方面经验极为丰富,各种代写微观经济学Microeconomics相关的作业也就用不着说。 • Statistical Inference 统计推断 • Statistical Computing 统计计算 • (Generalized) Linear Models 广义线性模型 • Statistical Machine Learni...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5292
# A Hahn-Banach type extension problem for multiple functionals Let $$X$$ be a closed subspace of a Banach space Y. I have functionals $$f_0, f_1, \ldots, f_n\in X^*$$ such that $$f_0$$ is in the span of the remaining ones. I fix an extension of $$f_0$$ to $$Y$$; let me call it $$F_0$$. Can I extend them to functional...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5293
Number of $n^2\times n^2$ permutation matrices with a 1 in each $n\times n$ subgrid I found the following question in a paper I was trying to solve: The following figure shows a $3^2 \times 3^2$ grid divided into $3^2$ subgrids of size $3 \times 3$. This grid has $81$ cells, $9$ in each subgrid. Now consider an $n^2...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5294
# Question #bf71f $1.238 \cdot {10}^{1}$ Standard form is similar to scientific notation - it means writing a number in the form $N \cdot {10}^{a}$ where $N$ must be between 1 and 10 (This means one non-zero digit before the decimal point) Thus $12.38 = 1.238 \cdot {10}^{1}$
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5295
The angles of a triangle are in A.P. The ratio of number of grades in the smallest angle to the number of radians in the largest angle is $$40:\pi$$. Find the measure of the largest angles in degrees
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5280
# zbMATH — the first resource for mathematics ## Integral Equations and Operator Theory Short Title: Integral Equations Oper. Theory Publisher: Springer (Birkhäuser), Basel ISSN: 0378-620X; 1420-8989/e Online: http://link.springer.com/journal/volumesAndIssues/20 Comments: Indexed cover-to-cover Documents indexed: 2...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5284
5 # If this survey were done by telephone, list three difiiculties the companies might have obtaining random results Indivduals may not tell the truth about buckling ~u... ## Question ###### If this survey were done by telephone, list three difiiculties the companies might have obtaining random results Indivduals ma...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5290
## The Annals of Probability ### On martingale approximations and the quenched weak invariance principle #### Abstract In this paper, we obtain sufficient conditions in terms of projective criteria under which the partial sums of a stationary process with values in $\mathcal{H}$ (a real and separable Hilbert space) ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22754
## Yahoo! one year ago $Sn = \sum_{k=1}^{n}\frac{ k^2 }{ 1+n^3 }$ , then $\lim_{n \rightarrow \infty }Sn = ?$ 1. joemath314159 You can factor the 1+n^3 out of the denominator, then use the fact that:$\sum_{k=0}^{n} k^2 = \frac{n(n+1)(2n+1)}{6}$ 2. Yahoo! Yup..i got it...thxxx 3. Yahoo! is it 1/3 ? @joemath314159 ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22755
GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 08 Dec 2019, 00:25 ### 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_22757
# Toronto Math Forum ## MAT334-2018F => MAT334--Lectures & Home Assignments => Topic started by: Nikita Dua on September 24, 2018, 03:27:11 PM Title: To show z1z2 = 0 implies z1 = 0 or z2 = 0 Post by: Nikita Dua on September 24, 2018, 03:27:11 PM Will a prove which uses rectangular coordinates definition of z1 and z2...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22759
The Pythagorean Identity for Inner Product Spaces The Pythagorean Identity for Inner Product Spaces Theorem 1 (The Pythagorean Identity for Inner Product Spaces): Let $H$ be an inner product space. If $x, y \in X$ are orthogonal then $\| x + y \|^2 = \| x \|^2 + \| y \|^2$. • Proof: Since $x$ is orthogonal to $y$ we...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22760
## Notes of David Hume’s Cambridge lecture 12-01-2017 Coarse negative curvature in action 1. Generalised loxodromics Say an action of a group ${G}$ on a hyperbolic metric space ${X}$ is non-elementary acylindrical if for all ${\epsilon>0}$, there exist ${R}$ and ${N}$ such that for all points ${x,y}$ with ${d(x,y)>R...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22761
# Multiple Choice Questions Elasticity In this page we have Multiple Choice Questions of Elasticity for JEE Main/Advanced and NEET . Hope you like them and do not forget to like , social share and comment at the end of the page. ## Multiple Choice questions Question 1 A wire whose cross-section area is A1 is stretch...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22763
Mathematics # The value of $\int {{x \over {\sqrt {{x^4} + {x^2} + 1} }}dx}$ equals ${1 \over 2}\log \left( {\left( {{x^2} + {1 \over 2}} \right) + \sqrt {{x^4} + {x^2} + 1} } \right) + c$ ##### SOLUTION we  have to evaluate $I =\int\dfrac{x}{\sqrt{x^4+ x^2 +1}}dx$ Let us assume $x^2 = t\Rightarrow 2 x dx=dt\Righta...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22764
# What is a Hamiltonian of a System? What is a Hamiltonian of a System? When learning about Hamiltonian for first time it is an object introduced as Legendre Dual Transform of Lagrangian of the same system. And we learn further that it is equivalent to energy of the system. But there are systems where Hamiltonian and ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22765
# Probability problems using Markov chains This post highlights certain basic probability problems that are quite easy to do using the concept of Markov chains. Some of these problems are easy to state but may be calculation intensive (if not using Markov chains). But the solutions using Markov chains involve raising ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22766
# Finding an isomorphic subring of matrices I'm struggling a fair amount with this exercise: Find a subring of $$M(2,\mathbb{Q})$$ which is isomorphic to a) $$\mathbb{Q}$$ x $$\mathbb{Q}$$ b) $$\mathbb{Q}$$ c) $$\mathbb{Q}[x]$$/$$x^2$$ Now I know a subring must be a subgroup, must contain the elements $$0,1$$ and mu...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22767
# Math Help - A silly problem... 1. ## A silly problem... I know this is a simple problem--I've already done 500 like it. I just can't seem to get the answer. The question asks you to solve inequalities. ((x-5)/2))^2 < (x-4)/8 Any help would be much appreciated. I tried to set it equal to zero... I just can't figu...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22752
# Have you practised your Vectors? Geometry Level 3 If $$\vec A$$ and $$\vec B$$ are two vectors such that $$\vec A + \vec B$$ is perpendicular to $$\vec B$$ and $$\vec A+2\vec B$$ is perpendicular to $$\vec A$$, which of the following is correct? Clarification: The vectors $$\vec A$$ and $$\vec B$$ are both non-zer...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22756
# Finding a closed form expression given decimal approximation 1. Nov 21, 2015 ### fedaykin Good evening. Is there a way to take a decimal approximation and see if there is a relatively simple expression? I'm guessing there might be software for this, but I'm not sure I'm even asking the appropriate question. If it ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22758
1. ## urgent n people shake hands at the start of the meeting . If there are 36 handshakes in all , find the value of n . 2. ${n \choose 2} = 36 \mbox{ then }n=?$ 3. n C = n(n-1) =36 2 1*2 Combinations ( ways to choose two from n people ) solve quadratic equation and ignore negative solution
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22762
# Transformers: How does current in primary coil change? I was doing a question on transformers and found this really confusing question: A 100% efficient transformer converts a 240V input voltage to a 12V output voltage. The output power of the transformer can be a maximum of 20W. The output is connected to two 0.30...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1632
# Save Tarzan and Make sure his Vine doesnt break(HELP NEEDED)! 1. Dec 5, 2004 ### Darienesque Tarzan, who weighs 634 N, swings from a cliff at the end of a convenient vine that is 13 m long . From the top of the cliff to the bottom of the swing, he descends by 1.4 m. The vine will break if the force on it exceeds 1...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1633
# Why are isotropic tensors not considered scalars? In introductory textbooks (Griffiths, Shankar, Boas) a tensor is introduced as a mathematical objects which transform in a specific manner under changes of basis (i.e. changes of the coordinate system). Specifically, a 0-rank tensor (also called scalars) is independe...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1634
# Find 100 Consecutive Composite Numbers Outwardly, this may seem a bit difficult to accomplish, but think about the sequence Here, we can easily show that . Since and trivially, then it must be the case that and all one hundred terms of the sequence are composite. In fact, this can be generalized. To find consecut...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1635
# Math Help - Help me solve this matrix please 1. ## Help me solve this matrix please Hi, I have been trying to solve this matrix for a while now, I don't get what I am doing wrong. I always end up having 2-3 full pages with an ending result that doesn't work at all. Here is my matrix: Code: (2 -1 3 4 | 9) (1 0...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1636
# When should we take direct limit and when should we take inverse limit? We know that we can take direct limit for a direct system and inverse limit for an inverse system. For example, when can defined the stalk of a presheaf $\mathcal{F}$ on a topological space $X$ at a point $P\in X$ by $$\lim_{\rightarrow_{p \in U...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1639
# Sphere rolling down an incline ## Homework Statement A hollow spherical shell with mass 2.50 kg rolls without slipping down a slope that makes an angle of 32.0 degrees with the horizontal. a. Find the magnitude of the acceleration $$a_c$$ of the center of mass of the spherical shell. b. Find the magnitude of the fr...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1642
# Understanding Tensors in Deep Learning Tensors play a very important role in deep learning and machine learning. They are at the heart of algorithms such as convolutional neural networks (CNNs) and recurrent neural networks (RNNs) that are widely used in many applications such as image recognition, natural language ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1643
# How do I let Fourier Transform know that it is a linear operator? [duplicate] I have the following issue with FourierTransform, Fourier transform doesn't seem to know it is a linear operator. ClearAll["Global*"] aa = FourierTransform[s1[t],t,omega]; bb = FourierTransform[s1'[t],t,omega]; cc = FourierTransform[s1[t...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1644
Courses # RD Sharma Solutions Ex-2.1, Exponents Of Real Numbers, Class 9, Maths Class 9 Notes | EduRev ## RD Sharma Solutions for Class 9 Mathematics Created by: Abhishek Kapoor ## Class 9 : RD Sharma Solutions Ex-2.1, Exponents Of Real Numbers, Class 9, Maths Class 9 Notes | EduRev The document RD Sharma Solution...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1646
$\frac{\mathrm d^{100}}{\mathrm d x^{100}}\frac{x^2+1}{x^3-x}=$? $$f(x)=\frac{x^2+1}{x^3-x}$$ $$f^{(100)}(x)=?$$ I tried differnetiating once and twice, but did not see any pattern emerging and can't guess what the 100th derivative should be. EDIT so decomposing this as $$f(x)=-\frac{1}{x}+\frac{1}{x+1}+\frac{1}{x-1...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1647
# Difference between revisions of "2019 AMC 10B Problems/Problem 22" The following problem is from both the 2019 AMC 10B #22 and 2019 AMC 12B #19, so both problems redirect to this page. ## Problem Raashan, Sylvia, and Ted play the following game. Each starts with $1$. A bell rings every $15$ seconds, at which time ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1637
# Testing A Claim About A Proportion A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test. Independent group means, population standard deviations and/or variances unknown B. Lecture #8 Chapter 8: Hypothesis Testing This chapter introduces another major topic...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1638
# Tag Info 0 This is an important question - however, it has been asked and answered (with different content compared to above) here. Be that as it may, I think you should certainly compare what's been provided here to the link (and other resources too!). I'll further supplement everything you can find with some insi...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1640
# 17.1 Aggregate analysis ## 17.1-1 If the set of stack operations included a $\text{MULTIPUSH}$ operation, which pushses $k$ items onto the stack, would the $O(1)$ bound on the amortized cost of stack operations continue to hold? No. The time complexity of such a series of operations depends on the number of pushes...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1645
A ball of iron wool is heated and placed in a flask containing chlorine gas. (a) Write the balanced chemical equation for the reaction. Write the balanced chemical equation for this reaction. In aqueous solution Fe(II) is present as the complex [Fe(H 2 O) 6 ] 2+ . $$\\ce{2FeCl2 + Cl2 -> 2FeCl3}$$ Which equation describ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21168
# algebra help • May 29th 2012, 05:33 AM Mat724 algebra help an equation is shown. [the square root of (x2-t2)] = 2t-x If x and t are positive numbers that satisfy the equation above, what is the value of (x/t)? • May 29th 2012, 06:43 AM Reckoner Re: algebra help Quote: Originally Posted by Mat724 [the square root ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21171
# Homework Help: Problem electromagnetic waves 1. Sep 4, 2010 ### Petar Mali 1. The problem statement, all variables and given/known data Two monocromatic waves is given by $$\vec{E_1}=\vec{E}_{01}cos(\vec{k}\cdot\vec{r}-\omega t+\alpha_1)$$ and $$\vec{E_2}=\vec{E}_{02}cos(\vec{k}\cdot\vec{r}-\omega t+\alpha_1)$$...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21172
• 13 • 16 • 19 • 27 • 9 # tangent function This topic is 4203 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic. ## Recommended Posts i have the formulea and i know that sinx/cosx = tanx so i divided the 2 formuleas and got this: tan x = E (x / (2n + 1)) E is sum of...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21173
# Kaplan Meier survival estimate at t=infinite Since the KM estimator does not allow for any other state other than the event of interest is it safe to assume that $S(t=\infty) = 0$ ? Or can it be that $S(t=\infty) > 0$ When different from zero at the largest event time (i.e. when the largest observation is censored)...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21175
The velocity V of a particle in motion is given by the equation V= 3t^2 +2t -5 where t is time in seconds. Determine the total distance moved by the particle in the first 5 seconds of motion.
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21176
# Mathematical models for insurance payments – part 1 – policy limit Suppose an individual (or an entity) faces a random loss and the loss is modeled by the random variable $X$. The individual purchases an insurance coverage to cover this loss. If the policy pays the loss in full (if a loss occurs), then the expected ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21177
# Matrix Division Calculator The calculator will find the quotient of two matrices (if possible), with steps shown. It divides matrices of any size up to 7x7 (2x2, 3x3, 4x4 etc.). If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the com...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21178
Revista de la Unión Matemática Argentina Home Editorial board For authors Latest issue In press MCA 2021 Online first Prize Search OJS Published volumes 1936-1944 On fibrations and measures of irrationality of hyper-Khäler manifolds Volume 64, no. 1 (2022), pp. 165–197 Abstract We prove some results on the fibers a...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21179
# The Great Rhombicosidodecahedron A semi-regular polyhedron with a square, a hexagon, and a decagon meeting at each vertex. The great rhombicosidodecahedron is one of the thirteen archimedian solids. Each of its faces belongs to one of three circubscribing solids: the dodecahedron, the icosahedron, and the Rhombic T...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21180
# given distances to 3 known points 2d, find the 4th point Lets say you have 3 points in 2D, which are non-collinear: a,b and c. How can you find a 4th point, when you have the distance from the 4th point to a, b and c ? - The formula for distance is [(x-x1)^2+(y-y1)^2+(z-z1)^2]^(1/2). Just plug in your known points...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21182
Area of a Triangle The area of a triangle $A$ is half the product of its base $b$ and its height $h$. This formula works only if the base is perpendicular to the height. That means the base and the height form a right angle. Examples Involving Area of Triangle Formula Example 1: Find the area of a triangle with a ba...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21183
# Comparing Quantities Class 7 Notes: Chapter 8 Quite often, in our daily life, we are required to compare two quantities. Let us look at a few points on how a comparison between two or more objects can be done. • It is to be noted that the comparison between any two quantities can be written as a ratio. • To compare...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21169
Number theory is the properties of integers themselves. Thus, you deal with equations and theorems only about integers. For example, how do you find all positive solutions to $2x + 5y + 11z = 2000$, where $x,y,z$ are integers? Or how do you prove that $x^4+y^4 = z^4$ has no positive solution? You would also talk about ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21174
# CAT Practice : Coordinate Geometry You are here: Home  CAT Questionbank   CAT Quant  Geometry: Triangles  Question 37 Radius of the circle inscribed inside a semi - circle ## Inscribed Circles Q.37: A circle is inscribed in a semi-circle as shown:- The radius of the circle is:- 1. ${\frac{\surd {2}+ 1}{2}}$ 2. ${...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21170
# $2n$ point charges on a circle at $O$, what's total electric field intensity $\overline{E}$ at $\pm 1\mathrm{m}$? The problem reads is from a Schaum's Outlines of EMFT and reads: A total charge of $1\mathrm{nC}$ is equally distributed among $2n$ points which are placed equidistantly on a circle with $1\mathrm{m}$ r...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15473
# Calculation confusion with partial derivative? Posted 21 days ago 252 Views | 2 Replies | 1 Total Likes | Hi;Please see attached notebook detailing confusion taking the partial derivative of y' with respect to y. In my way of thinking (which may be wrong) y' and y are totally different and therefore y' should be co...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15475
GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 18 Jul 2018, 05:57 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...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15476
# Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online. 1 UNESP - Departamento de m...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15477
dc.contributor.advisor Mitchell, Stephen A en_US dc.contributor.author Suryanarayan, Sweta en_US dc.date.accessioned 2012-09-13T17:40:49Z dc.date.available 2012-09-13T17:40:49Z dc.date.issued 2012-09-13 dc.date.submitted 2012 en_US dc.identifier.other Suryanarayan_washington_0250E_10317.pdf en_US dc.identifier.uri http...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15479
Restricted domain such that inverse of a function exists. • May 11th 2010, 05:56 AM Greensew Restricted domain such that inverse of a function exists. Given function g is defined by g:x --> 2x^2 -8x+11 where x < or equal to A WHERE A IS A CONSTANT (a)state the largest value of A which g has an inverse Who know how to...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15481
# Improper Integrals Question Why does the [1,∞]∫ $(5+cos(x))/x$ diverge? $\frac{4}{x}\leq \frac{5+\cos x}{x}, \forall x \in [1,\infty)$ and $\int_1^\infty \frac{dx}{x}$ diverges.
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15483
# Noise sensitivity transfer function Consider we have a second order system (plant) described by the following transfer function: $$P(s) = \frac{b_0}{s^2+a_1*s+a_2}$$ which is controller by a PD-controller: $$C(s) = K_p+K_ds$$ In order to study the impact that the external noise has to the system, I have come acr...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15484
A calculation problem on Conformal Field Theory This problem is on Di Francesco's book I. It's exercise 7.1: Calculate the norm of the following vector, where $\lvert h\rangle$ is the state of highest weight. $$L_{-1}^n\lvert h\rangle$$ I have just tried to use the commutation relations of the $L$ operators and the ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15485
# How do you simplify 13^4 / sqrt(13^10)? ##### 2 Answers Jun 13, 2016 ${13}^{4} / \left(\sqrt{{13}^{10}}\right) = \frac{1}{13}$ #### Explanation: 13^4/(sqrt(13^10) = ${13}^{4} / {\left({13}^{10}\right)}^{\frac{1}{2}}$ = ${13}^{4} / \left({13}^{\left(10 \times \frac{1}{2}\right)}\right)$ = ${13}^{4} / {13}^{5}$ ...