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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18014 | 🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Oh no! Our educators are currently working hard solving this question. In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics. Numerade Educator ### Problem 17 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18004 | # Find marginal distribution of $K$-variate Dirichlet
I've already seen https://math.stackexchange.com/questions/1064995/marginal-of-dirichlet-distribution-is-beta-integral, but need to extend this to the $K$-variate case.
We have $\mathbf{x} = \begin{bmatrix} x_1 \\ x_2 \\ \vdots \\ x_K\end{bmatrix}$ following a Dir... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18015 | # Combo Playground
## 1. Definition
Lattice path is a path composed of connected horizontal and vertical line segments, which are restricted to east and north steps. A path represents a subset of m elements in a set of m+n elements, so the number of paths p(O,M) , of length m+n, from the origin (0,0) to a point M(m,n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8225 | # Vector model of addition of angular momenta
I'm trying to understand what Landau and Lifshitz mean in their $\S31$ of "Quantum mechanics. Non-relativistic theory" about vector model of addition of angular momenta:
... This result can be illustrated by means of what is called the vector model. If we take two vectors... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8226 | # The alternation hierarchy for the theory of $\mu$-lattices
## Luigi Santocanale
The alternation hierarchy problem asks whether every $\mu$-term $\phi$, that is, a term built up also using a least fixed point constructor as well as a greatest fixed point constructor, is equivalent to a $\mu$-term where the number of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8227 | # Taylor Polynomial for ln(1-x)
by Schrodinger's Dog
Tags: ln1x, polynomial, taylor
P: 1,142 1. The problem statement, all variables and given/known data $ln(1+x)=x-\frac{1}{2}x^2+ \frac{1}{3}x^3-\frac{1}{4}x^4+\frac{1}{5}x^5-.... -1<\ x\ <1$ Is there a Taylor polynomial for ln(1-x) for -1< x <1, if so how would I go... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8228 | If you set the number of In polar form, a complex number is represented by the equation r(cos θ + i sin θ), here, θ is the argument. You might have heard this as the Argand Diagram. 7. By using this website, you agree to our Cookie Policy. Write to dCode! Complex Number Homework. Here, both m and n are real numbers, wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8230 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 16 Feb 2019, 21:47
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.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8231 | # Module: tfg.math.optimizer.levenberg_marquardt
This module implements a Levenberg-Marquardt optimizer.
Minimizes $$\min_{\mathbf{x} } \sum_i \|\mathbf{r}_i(\mathbf{x})\|^2_2$$ where $$\mathbf{r}_i(\mathbf{x})$$ are the residuals. This function implements Levenberg-Marquardt, an iterative process that linearizes the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8233 | In mathematics (particularly in differential calculus), the derivative is a way to show instantaneous rate of change: that is, the amount by which a function is changing at one given point. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Search for: Reading: Matrices and Matr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8234 | # subgroups of finitely generated groups with a finite index
Let $G$ be a finitely generated group and $H$ a subgroup of $G$. If the index of $H$ in $G$ is finite, show that $H$ is also finitely generated.
• – Ofir
Dec 5, 2010 at 7:17
Here's the topological argument. The fact that $G$ is finitely generated means tha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8235 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
Proposition 5.2.8.8. Let $U: \operatorname{\mathcal{E}}\rightarrow \operatorname{\mathcal{C}}$ be a cocartesian fibration of $\infty$-categories. Let $C$, $D$, and $E$ be objects of $\operatorname{\mathcal{C}}$, and let
$F: \operatorname{Hom}_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8239 | # Homework Help: Vector Calculus World Problem About Mechanics
1. Jun 9, 2010
### number0
1. The problem statement, all variables and given/known data
A particle is constrained to move around the unit circle in the xy plane according to the
formula (x,y,z)=(cos(t2),sin(t2),0), t$$\geq$$0.
At what point on the cir... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8229 | ### go with the flow
s:=
[1^2, 2^2, 3^2, 4^2, …]=
[1,4,9,16,…]=
[n^2]_(n \in \Bbb N).
$\Bbb N$ =: “\Bbb N”
NB: 0 \in \Bbb N.
******************************************
S := x + 4x^2 + 9x^3 + …
($S = \sum_{i = 1}^\infty i^2x^i$)
******************************************
(1-x)*S = x + 3x^2 + 5x^3 + 7x^4 + …
(1-x)^2*... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8236 | # Why Certainity Eqivalence in PIH only holds for quadratic utilities
In my current macro economics course, it has been stated that there is certainty equivalence in the random walk permanent income hypothesis ("which implies individuals act as if future consumption was at its conditional mean value and ignore its var... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8237 | # Superposition Theorem Prob #1
Discussion in 'Homework Help' started by J.live, Oct 9, 2010.
1. ### J.live Thread Starter Member
Sep 10, 2010
35
1
Have to find Ix.
Attempt:
Solving for current source:
I'x= 3.5 v / 7+3 + 15 ll 5 ?
the solution manual did not consider 5 ohms at all , instead
I'x= 3.5 v / 7+3+15
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8238 | # College Math Teaching
## August 19, 2011
### Partial Differential Equations, Differential Equations and the Eigenvalue/Eigenfunction problem
Suppose we are trying to solve the following partial differential equation:
$\frac{\partial \psi}{\partial t} = 3 \frac{\partial ^2 \phi}{\partial x^2}$ subject to boundary c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8224 | # Is the delay to correlate the signal from one dish to another on a VLA radio telescope longer for red shifted objects?
We are searching data for your request:
Forums and discussions:
Manuals and reference books:
Data from registers:
Wait the end of the search in all databases.
Upon completion, a link will appear to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8232 | # Job Scheduling
Input Output
Input Description: A directed acyclic graph $$G=(V,E)$$, where the vertices represent jobs and the the edge $$(u,v)$$ that task $$u$$ must be completed before task $$v$$.
Problem: What schedule of tasks to completes the job using the minimum amount of time or processors?
Excerpt from T... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23600 | # analytic map between two triangles
Consider the two dimensional real place $\mathbb{R}^2$. We have a triangle (lets call it $\triangle$) with the vertices $(\frac{\sqrt{3}}{2},\frac{3}{2}),~(-\frac{\sqrt{3}}{2},\frac{3}{2})$ and $(0,-\sqrt{3})$. I need to find ALL continuous maps $f:\mathbb{R}^2\longrightarrow \math... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23601 | # Convert $\mathrm{i}^\pi$ into trigonometric form
How can I convert the complex number $$\mathrm i^\pi$$ to trigonometric form?
I usually do these steps:
1. take $$Z = a + b\mathrm i$$ form,
2. find $$r = \sqrt{a^2 + b^2}$$,
3. $$\cos(\phi) = a / r, \sin(\phi) = b / r$$,
4. find $$\phi$$ from the above 2 equations.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23603 | # Geometric interpretation of determinant
I am trying to prove geometrically, without invoking the dot or cross products or orthogonality, that the volume of a parallelepiped formed by vectors $\begin{bmatrix} a_1 \\ a_2 \\ a_3 \end{bmatrix}$, $\begin{bmatrix} b_1 \\ b_2 \\ b_3 \end{bmatrix}$ and $\begin{bmatrix} c_1 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23604 | # American Institute of Mathematical Sciences
May 2008, 9(3&4, May): 701-730. doi: 10.3934/dcdsb.2008.9.701
## A non-autonomous bifurcation theory for deterministic scalar differential equations
1 Universidad de Valladolid, Departamento de Matemática Aplicada, ETSII, Paseo del Cauce s/n, 47011 Valladolid
Received... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23605 | Calculus: Early Transcendentals (2nd Edition)
$(x+2)^2 + y^2 + (z-4)^2 \leq 1^2$
Equation of sphere with radius $r$ and centered at $(a,b,c)$: $(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2$ Plug in center and radius: $(x+2)^2 + (y-0)^2 + (z-4)^2 = 1^2$ Because it's a ball, the equation must account for the fact that the sphere i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23606 | # Density-Based Local Descriptors¶
All the tools for calculations based on the electron density $$\rho\left(\mathbf{r}\right)$$, gradient and hessian of the $$N$$ electron reference state.
Electron density $$\rho\left(\mathbf{r}\right)$$ represents the probability of finding an electron within a certain volume elemen... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23607 | # If 0.6546 g of sodium oxalate, Na2C2O4, requiresof a 23.26 mL KMnO4 solution to reach the end point, what is the molarity of the KMnO4 solution?
Question
If 0.6546 g of sodium oxalate, Na2C2O4, requiresof a 23.26 mL KMnO4 solution to reach the end point, what is the molarity of the KMnO4 solution? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23608 | # Integral of x^{-1/2}*(1-x)^-1
Claim: $\int\frac{dx}{\sqrt{x}(1-x)}=\log{\frac{1+\sqrt{x}}{1-\sqrt{x}}}$
Derivation confirms this, but how was this answer arrived at? IBP seems not to work, can't find a good u-substitution...
What about the substitution $x=u^2$, followed by partial fraction decomposition?
phyzguy
$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23609 | +0
# How to find x and y? Doesn’t there need to be 2 equations?
0
254
4
Solve for the rational numbers x and y: $$2^{x+y} \cdot 3^{x-y} \cdot 6^{2x+2y}= 72.$$
Jul 13, 2019
#1
0
Using Newton-Raphson method, it gives the following solution:
x = 1/2 and y=1/2
Jul 13, 2019
#2
+8880
+5
$$2^{x+y}\,\cdot\,3^{x-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23611 | # Étale and affine representations of Lie algebras and algebraic groups
Posted in
Speaker:
Dietrich Burde
Zugehörigkeit:
University of Vienna
Datum:
Fre, 23/11/2018 - 16:45 - 17:45
Location:
MPIM Lecture Hall
A rational representation $p : G \to \mathrm{Aff}(V )$ of an algebraic group $G$ for the affine group over a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23612 | # Solve for $x$ in $\cos(2 \sin ^{-1}(- x)) = 0$
Solve $$\cos(2 \sin ^{-1}(- x)) = 0$$
I get the answer $\frac{-1}{ \sqrt2}$
By solving like this
\begin{align}2\sin ^{-1} (-x )&= \cos ^{-1} 0\\ 2\sin^{-1}(- x) &= \frac\pi2\\ \sin^{-1}(- x) &= \frac\pi4\\ -x &= \sin\left(\frac\pi4\right)\end{align}
Thus $x =\frac{-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23613 | # what does this question about a matrix mean?
here is a question says :
what does that mean ?
I did my best to solve this question myself but i didn't find a way to solve it
is this question possible or there is something else that i don't understand it
the matrix is square ..
how it changes to singular?
-
A s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23614 | # The imaginary Toda field theory
Abstract : We consider the two-dimensional $\mathfrak{sl}_n$ quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry ($W_n$ algebra), a central charge $c \leq n-1$ and a continuous spectrum. Using the conformal bootstrap, w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23615 | # Irrationality exponents of Mahler numbers
## Affiliation:
University of Sydney
## Date:
Wed, 08/08/2018 - 3:00pm
## Venue:
RC-4082, The Red Centre, UNSW
## Abstract:
We will consider the following question: what values irrationality exponents of Mahler numbers can take? For much smaller set of automatic numbe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23610 | # Help needed asap<31. The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for Help needed asap<3 1. The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns$90 for instructing 15 students ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23602 | # Homework Help: Prove in any interval there exists a rational z
1. Dec 17, 2009
### cmajor47
1. The problem statement, all variables and given/known data
Prove that in any interval there exists a rational z.
2. Relevant equations
3. The attempt at a solution
My professor wrote this for me when trying to explain h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12144 | # Using Green’s theorem, the value of the integral $$\mathop \smallint \limits_C \left( {xy\;dy - {y^2}\;dx} \right)$$, where C is the square, cut from the first quadrant by the lines x = 1 and y = 1, will be.
This question was previously asked in
BPSC Asstt. Prof. ME Held on Nov 2015 (Advt. 22/2014)
View all BPSC Ass... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12145 | ## Confluence results for the pure strong categorical logic CCL. $$\lambda$$- calculi as subsystems of CCL.(English)Zbl 0707.03012
Author’s summary: “The Strong Categorical Combinatory Logic (CCL, CCL$$\beta\eta$$ SP), developed by Curien (1986) is, when typed and augmented with a rule defining a terminal object, a pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12146 | # Solution - Find the Height to Which the Same Water Will Rise in Another Glass Capillary Having Half Area of Cross Section. - Surface Tension
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#### Question
Water rises to a height 3.2 cm in a glass capillary tube. Find the height to which the same water will rise in another ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12147 | Find another expression form
1. Oct 24, 2007
1. The problem statement, all variables and given/known data
Hi,
I need to prove that:
x[t]=cos(ω0*t)+ cos( ωo*t + Δω*t)
can be transformed into the form:
x[t]=A(t)*cos[ωo*t + θ(t)]
where A(t) and θ(t) are function of Δω.
I have the solution but I cannot find out the wa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12148 | # Axiom of Choice to prove two propositions
1. Dec 5, 2009
### erogard
Hi everyone,
we recently covered some implications of the AC and are now to prove the followings statements with the help of the AC or one of its equivalent:
(1) Every uncountable set has a subset of cardinality $$\aleph_1$$ (the least initial ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12149 | # A toroidal ring, having 100 turns per cm of a thin wire is wound on a nonmagnetic metal rod of length 1 m and diameter
more_vert
A toroidal ring, having 100 turns per cm of a thin wire is wound on a nonmagnetic metal rod of length 1 m and diameter 1 cm. If the permeability of bar is equal to that of free space (µ0)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12151 | # Strong Converse for Hypothesis Testing Against Independence over a Two-Hop Network
By proving a strong converse, we strengthen the weak converse result by Salehkalaibar, Wigger and Wang (2017) concerning hypothesis testing against independence over a two-hop network with communication constraints. Our proof follows ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12152 | # All Questions
4 views
### Handling Accuracy and Simplifying
I have the following problem. I have a system of non-linear equations that I log-linearize around a certain point, let's call it point A, using a function that I ...
17 views
### How do I cut/paste Mathematica output into a question?
Of all things, I ca... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12153 | [Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12154 | • Corpus ID: 131763341
Mod 2 power operations revisited
@article{Wilson2019Mod2P,
title={Mod 2 power operations revisited},
author={Dylan Wilson},
journal={arXiv: Algebraic Topology},
year={2019}
}
• D. Wilson
• Published 30 April 2019
• Mathematics
• arXiv: Algebraic Topology
In this mostly expository note we take a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12156 | Author: Akash Ajagekar (SYSEN 6800 Fall 2021)
## Theory
Adam is a combination of two gradient descent methods which are explained below,
### Momentum:
This is a optimization algorithm which takes into consideration the 'exponentially weighted average' and accelerates the gradient descent. It is an extension of grad... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12157 | When are two operators simultaneously diagonalizable?
I am reading a paper and they have diagonalised both operators in an equation, on a separable Hilbert space, with respect to the same basis. My question is, when can two operators be simultaneously diagonalised? In the paper, one operator is self adjoint and positi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12158 | # Existence of diffeomorphism
1. Jun 29, 2010
### losiu99
While reading C.C.Pugh's "Real Mathematical Analysis" I've encountered a following statement:
"A starlike set $$U \subset \mathbb{R}^n$$ contains a point $$p$$ such that the line segment from each $$q\in U$$ to $$p$$ lies in $$U$$. It is not hard to construc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12150 | # O'Reilly Forums: Combine Poisson Variables, Page 313 - O'Reilly Forums
Page 1 of 1
## Combine Poisson Variables, Page 313
### #1wurlitzer
• New Member
• Group: Members
• Posts: 5
• Joined: 07-December 12
Posted 11 January 2013 - 10:40 AM
Hi,
Can somebody explain why when we combine two independent random varia... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12155 | # Bayesian update of normal distribution given noisy binary search response
How do we go about calculating a posterior with a prior given N data points of the form greater than X or less than Y, when those data points are noisy (that is, greater than X can be incorrect)?
Example:
We start with the posterior normal d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12159 | # How do you use synthetic substitution to find the real zeroes for P(x)=x^4-6x^3+11x^2-8x+2?
Aug 5, 2015
The real zeroes of $P \left(x\right) = {x}^{4} - 6 {x}^{3} + 11 {x}^{2} - 8 x + 2$ are $\textcolor{red}{1}$ and $\textcolor{red}{1}$ and $\textcolor{red}{2 + \sqrt{2}}$ and $\textcolor{red}{2 - \sqrt{2}}$.
#### ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4832 | Looking for Arithmetic worksheets?
Check out our pre-made Arithmetic worksheets!
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4834 | Related Searches
Definitions
# De dicto and de re
De dicto and de re are two phrases used to mark important distinctions in intensional statements, associated with the intentional operators in many such statements. The distinctions are most recognized in philosophy of language and metaphysics.
The literal translatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4835 | Ratio And Proportion - MCQ 2
# Ratio And Proportion - MCQ 2
Test Description
## 20 Questions MCQ Test Quantitative Techniques for CLAT | Ratio And Proportion - MCQ 2
Ratio And Proportion - MCQ 2 for Quant 2022 is part of Quantitative Techniques for CLAT preparation. The Ratio And Proportion - MCQ 2 questions and an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4836 | # Isotopy
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
## Definition
Let $X$ be a topological space and $f,g$ be homeomorphisms from $X$ to itself. An isotopy from $f$ to $g$ is a homotopy $F:X \times I \to X$ that starts at $f$, ends at $g$, and such that fo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4837 | # When does entropy bound cross-entropy?
Suppose p and q are discrete distributions over k outcomes, q is given, for which p does the following hold?
$p_1 \log q_1 + \ldots + p_k \log q_k \ge q_1 \log q_1 + \ldots + q_k \log q_k$
-
p such that:
$$\prod_i q_i^{p_i-q_i} \ge 1$$
I arrive at this point with the follo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4838 | # 1.1. More than the sum#
ERROR:
a solution can be found in Chapter 1
The author likely intends to refer to the appendix.
Exercise 1.1.
An order-preserving function, part of the Category of preordered sets. See also Order theory:
$f(x) = x + 1$
A function that is not order-preserving:
$f(x) = -x$
A metric-pres... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4839 | # Row equivalent matrices and proving
(a) Let A = ($a_1$ $a_2$ ... $a_n$) and B = ($b_1$ $b_2$ ... $b_n$) be row equivalent matrices where $a_i$ and $b_i$ are the ith columns of A and B respectively.
For $c_1$ $c_2$ ... $c_n$ $\in$ $R$, show that $c_1a_1$+$c_2a_2$+...+$c_na_n$ = 0 if and only if $c_1b_1$+$c_2b_2$+...... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4841 | ## Displaying compounds with WebGL
After publishing my last article about OPSIN I was interested in using HTML5 techniques to display chemical compounds and found a nice library: ChemDoodle.
With ChemDoodle it’s very easy to display a molecule. Just download the libs and import them to your HTML code:
To display a c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4842 | It is currently 22 Sep 2017, 06:46
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4843 | Subsection3.4.1Overview
One of the most important mathematical ideas in calculus is that of an accumulation of change for physical quantities. Eventually, this will lead us to the ideas of definite integrals. We start by thinking about sequences resulting from an accumulation of a given sequence of increments. In this... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4844 | Results 21-40 of 111. Phase singularities in complex arithmetic random wavesDalmao, Federico; Nourdin, Ivan ; Peccati, Giovanni et alin Electronic Journal of Probability (2019), 24(71), 1-45Detailed reference viewed: 164 (11 UL) Multivariate stable approximation in Wasserstein distance by Stein's methodChen, Peng; ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4846 | ## Differential and Integral Equations
### Stable and unstable manifolds for nonlinear partial neutral functional differential equations
#### Abstract
The aim of this work is to investigate the asymptotic behavior of solutions near hyperbolic equilibria for nonlinear partial neutral functional differential equations... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4847 | . Salomaa in their paper, "The state complexities of some basic operations on regular languages", TCS 125 (1994), 315-328, where the state blow-up for Kleene * is described in detail; it is exponential in the worst-case for languages over 2-letter Question: Question 3 Create A 3-state NFA Of Your Choice. Non-Determinis... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4833 | # Posts Tagged: simples
• absolute, stories
## Art and the absolute point
Posted on by
In his paper Cyclotomy and analytic geometry over $\mathbb{F}_1$ Yuri I. Manin sketches and compares four approaches to the definition of a geometry over $\mathbb{F}_1$, the elusive field with one element. He writes : “Preparing ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4845 | # CIE A level -Pure Mathematics 3 : Topic : 3.6 Numerical solution of equations : Exam Style Questions Paper 3
### Question
(i) By sketching a suitable pair of graphs, show that the equation$$x^{3}=3-x$$has exactly one real
root. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4840 | # Adapting 2021 AB 1 / BC 1
First of nine. One of the things many successful AP Calculus teachers do is to use past AP exam questions throughout the year. Individual multiple-choice exam questions are used as the topics they test are taught; free-response questions are adapted and expanded. There are several ways to d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23265 | # What does the Lagrange Multiplier mean?
Note: The crux of this post really is in talking about the Lagrange Multiplier, so scroll down to ‘The Lagrange’ for that.
#### What is a constrained optimisation problem?
Suppose we want to maximise our own utility (our enjoyment) but have a limited amount of resources (tim... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23266 | 2018
Том 70
№ 1
# A companion of Dragomir's generalization of Ostrowski's inequality and applications in numerical integration
Alomari M. W.
Abstract
\lambda) f(x) - \int^b_a f(t)dt\right]\right| \leq\leq\left[\frac{(b-a)^2}{4}(\lambda^2 + (1 - \lambda)^2) + \left(x - \frac{a + b}{2}\right)^2\right] ||f'||_{\infty}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23268 | # Lunar arithmetic
Lunar arithmetic, formerly called dismal arithmetic,[1][2] is a version of arithmetic in which the addition and multiplication operations on digits are defined as the max and min operations. Thus, in lunar arithmetic,
${\displaystyle 2+7=\max\{2,7\}=7}$ and ${\displaystyle 2\times 7=\min\{2,7\}=2.}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23269 | • # question_answer The value of $x$ satisfying${{\log }_{a}}x+{{\log }_{\sqrt{a}}}x+{{\log }_{3\sqrt{a}}}x+.........{{\log }_{a\sqrt{a}}}x=\frac{a+1}{2}$ will be A) $x=a$ B) $x={{a}^{a}}$ C) $x={{a}^{-1/a}}$ D) $x={{a}^{1/a}}$
${{\log }_{a}}x+2{{\log }_{a}}x+.......+a{{\log }_{a}}x=\frac{a+1}{2}$ $\Rightarrow$ ${{\lo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23270 | # On some mean square estimates in the Rankin-Selberg problem
Research paper by Aleksandar Ivic
Indexed on: 28 Jun '06Published on: 28 Jun '06Published in: Mathematics - Number Theory
#### Abstract
An overview of the classical Rankin-Selberg problem involving the asymptotic formula for sums of coefficients of holom... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23271 | ## Covers induced by Ext.(English)Zbl 0981.16010
Let $${\mathbf C}\subseteq\text{Mod-}R$$ and $${\mathbf B}\subseteq R\text{-Mod}$$. Then $$^\bot{\mathbf C}$$ is defined to be the class $$\text{Ker Ext}(-,{\mathbf C})=\{D\mid\text{Ext}(D,C)=0$$ for all $$C\in{\mathbf C}\}$$ and $$\text{Ker Tor}(-,{\mathbf B})=\{A\mid\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23272 | # Stuck at showing that $g_*f_* = (gf)_*$
Let $X,Y,Z$ be topological spaces and $f : X \rightarrow Y , g: Y \rightarrow Z$ be continuous functions. Consider $Sh(X) ,Sh(Y),Sh(Z)$ to be the set of sheaves over $X,Y,Z$ respectively.
Now we define the direct image sheaf maps $$f_* : Sh(X) \rightarrow Sh(Y)$$ $$g_* : Sh(Y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23273 | Browse Questions
# An element E crystallizes in body-centred cubic structure.If the edge centre of the cell is $1.469\times 10^{-10}$m and the density is $19.3gcm^{-3}$.Calculate the atomic mass of this element.Also calculate the radius of an atom of this element.
$\begin{array}{1 1}183.5g,0.634\times 10^{-8}cm\\173.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23274 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
Proposition 1.4.7.6. Let $\operatorname{\mathcal{C}}$ be an $\infty$-category and let $f: X_{\bullet } \hookrightarrow Y_{\bullet }$ be an inner anodyne morphism of simplicial sets. Then the induced map $p: \operatorname{Fun}( Y_{\bullet }, \op... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23275 | # SAT to knapsack vs. ETH
Theorem states that every problem in $\mathsf{NP}$ can be reduced to another $\mathsf{NP}$-complete problem in polynomial time. Also you can only make a problem polynomially longer using polynomial time.
Thus SAT of length $n$ can be reduced to knapsack with length $n^k$ for some fixed $k\in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23276 | # Question involving area and perimeter of two parallelograms sharing a diagonal.
Given two parallelograms $P1$ and $P2$ sharing a diagonal, such that area of $P1$ is greater than area of $P2$, can we say that the perimeter of $P1$ is greater than the perimeter of $P2$ ?
Actually I was trying to prove another questio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23277 | # Norms (1,2,inf) of A=kI
Algebra
### Norms (1,2,inf) of A=kI
Let the matrix A of size N x N, given by A = k I, be the identity matrix of size N x N and k a strictly positive real.
How would I calculate;
-the norms (1, 2, inf) of the matrix;
-its number of packaging in each of the standards 1, 2, inf
I'm truly l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23278 | # How do you evaluate variable expressions?
Apr 26, 2015
To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).
Here is a variable expression: $3 x + 7$.
To evaluate this expression when $x = 2$ mean to substitute $2$ in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23279 | # Intuitive way to understand covariance and contravariance in Tensor Algebra
I'm trying to understand basic tensor analysis. I understand the basic concept that the valency of the tensor determines how it is transformed, but I am having trouble visualizing the difference between different valencies when it comes to h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23264 | 1
IIT-JEE 1982
If p, q, r are any real numbers, then
A
max (p, q) < max (p, q, r )
B
min (p, q) = $${1 \over 2}\left( {p + q - \left| {p - q} \right|} \right)$$
C
max (p, q) < min (p, q, r)
D
none of these
2
IIT-JEE 1982
Two towns A and B are 60 km apart. A school is to be built to serve 150 students in town A and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23267 | # Directional Derivative – Calculating Derivative in normal direction – Exercise 4305
Exercise
Calculate the directional derivative of the function
$$z=\ln(x^2+y^2)$$
At the point (-4,3) and in the normal direction to the altitude line passing through the point.
$$0.4$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20032 | # Formal descriptions of Turaev's loop operations
Research paper by Gwenael Massuyeau
Indexed on: 07 Dec '15Published on: 07 Dec '15Published in: Mathematics - Geometric Topology
#### Abstract
Using intersection and self-intersection of loops, Turaev introduced in the seventies two fundamental operations on the alg... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20033 | # SSAT Upper Level Math : Mixed / Improper Fractions
## Example Questions
← Previous 1
### Example Question #1 : Mixed / Improper Fractions
Which of the following is one more than ?
Explanation:
Rewrite as follows:
, so .
### Example Question #1 : Mixed / Improper Fractions
Which of the following is three ti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20035 | ### Home > CCA2 > Chapter 7 > Lesson 7.1.2 > Problem7-18
7-18.
Evaluate each expression without using a calculator or changing the form of the expression. Homework Help ✎
1. $\log(1)$
2. $\log(10^3)$
3. $10^{\log(4)}$
4. $10^{3\log(4)}$
What power would you raise $10$ to equal $1$?
What power would you raise $1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20036 | # Moderate Bar Charts Solved QuestionData Interpretation Discussion
Common Information
Answer the questions on the basis of the information given below.
The $2006$ batch of a premier B- school in India fared poorly in the three courses namely Statistics, Economics and Business Maths in their first semester examinati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20038 | Finding minimum residue of a linear function in O(log M) time
Revision en4, by mango_lassi, 2021-05-15 12:45:36
I saw a blog (thanks to Bugman for finding it!) earlier today asking how to solve the following problem:
Given a linear function $ax + b$, find the minimum $x \geq 0$ such that $ax + b \in [L, R]\ (\text{m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20039 | Odds & Probability in Blackjack. enum Coin { Fair, DoubleHeaded } Now let's suppose we have a bag of coins. Again, draw a probability tree. Find the probability that the coin is heads. It comes up heads each time. What is the chance of getting two heads? Easy, it's 0. When one of the coins is randomly selected and flipp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20040 | # SRC, Inc., sells its inventory in an average of 43 days and collects its receivables in 3.6 days, on average. What is the inventory
SRC, Inc., sells its inventory in an average of 43 days and collects its receivables in 3.6 days, on average. What is the inventory turnover rate? Assume a 365-day year.
## This Post H... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20041 | # Point is Isolated iff not Accumulation Point
## Theorem
Let $T = \left({S, \tau}\right)$ be a topological space.
Let $H \subseteq S$.
Let $x \in H$.
Then:
$x$ is an isolated point in $H$
$x$ is not an accumulation point of $H$
## Proof
### Sufficient Condition
Let $x \in H$ be an isolated point in $H$.
Then... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20042 | # Fractions integration by pdf partial
Home » Nakhon Sawan » Integration by partial fractions pdf
## Partial Fractions Calculator Symbolab
Chapter 6 Integration partial fractions and improper. appear necessary in this case. Therefore, I will use the Integration by Partial Fractions technique. I see that I can factor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20043 | # ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS
• Park, Kyoo-Hong (Department of Mathematics Education, Seowon University) ;
• Jung, Yong-Soo (Department of Mathematics, Sun Moon University)
• Published : 2010.01.31
• 80 8
#### Abstract
In this note, we introduce a permuting 3-derivation in nearri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20044 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# Find the numbers $b$ such that the average value of $f(x) = 2 + 6x - 3x^2$ on the interval $[0, b]$ is equal to 3.
## $\frac{3 \pm \sqrt{5}}{2} \approx 0.382,2.618$
#### Topics
Applications of Integrat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20045 | # Acceleration
(Redirected from Accelleration)
Acceleration
Quantity vector
Symbol a
Dimensions [L][T]-2
Common units
m s-2
Common definitions
Change in velocity per unit time as caused by external forces.
In physics, acceleration is the rate of change of velocity of an object over time. An object's acceleration i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20046 | # Questions on logic behind “proof by contradiction”
I'm trying to understand the logic behind "proof by contradiction" and hoping that I can clear up a few things in this post.
First of all, suppose I have a proposition $P$ and from this I can imply some statement $Q$, i.e. $P\Rightarrow Q$, then to prove this by co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20047 | # Does the proof of Bolzano-Weierstrass theorem require axiom of choice?
When selecting the terms of subsequence from each bisections, I thought axiom of choice might be required. But I’m not so sure whether or not, so please tell me.
[edited]
I’m sorry for the lack of explanation.
I want to prove this statement:
Let ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20034 | # Definition:Discontinuous Mapping/Real Function/Point
## Definition
Let $A \subseteq \R$ be a subset of the real numbers.
Let $f : A \to \R$ be a real function.
Let $a\in A$.
Then $f$ is discontinuous at $a$ if and only if $f$ is not continuous at $a$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20037 | ### Election Time
Time Limit: 1000 ms Memory Limit: 65536 KiB
#### Problem Description
The cows are having their first election after overthrowing the tyrannical Farmer John, and Bessie is one of N cows (1 ≤ N ≤ 50,000) running for President. Before the election actually happens, however, Bessie wants to determine w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24448 | ## A Characterization of Entropy
Over at the n-Category Café some of us have been trying an experiment: writing a math paper in full public view, both on that blog and on its associated wiki: the nLab. One great thing about doing things this way is that people can easily chip in with helpful suggestions. It’s also mor... |
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