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During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.
# Difference between revisions of "2020 USOJMO Problems/Problem 1"
## Problem
Let $n \geq 2$ be an integer. Carl has $n$ books arranged on a bookshelf. Each book has a height and a width. No two books have the same height, and no two books... | {} |
# Thread: Complex number.. need an idea to start..
1. ## Complex number.. need an idea to start..
1. The problem statement, all variables and given/known data
Find the principal value of i^2i
2. Relevant equations
principal value = Ln r + iArg(z)
3. The attempt at a solution
dont know how to start..
2. Originall... | {} |
Working paper Open Access
# WP 7: Forms of Political Governance: Theoretical Foundations and Ideal Types
Blatter, Joachim
### Citation Style Language JSON Export
{
"publisher": "Zenodo",
"DOI": "10.5281/zenodo.48773",
"container_title": "Working Paper Series \"Glocal Governance and Democracy\"",
"title": "WP 7: For... | {} |
# Introduction
• $a^2=a*a$
• $a^3=a*a*a$
• $a^4=a*a*a*a$
• etc…
Be careful NOT to get this mixed up, such that you think $a^3=3a$, since $3a=3*a$, NOT $a*a*a$!!! So remember, whereas:
• $3a=a+a+a$
• $a^3=a*a*a$
Instead of saying “$a$ to the power of 2″, we say “$a$ squared”. Similarly, instead of saying “$a$ to the... | {} |
## Formulas, Relative References, Order of Operations, and Auditing Formulas
Read this overview of how to create formulas in Excel. Pay close attention to the figures that show how to enter formulas in a budget spreadsheet.
The second section explains relative referencing. Excel will adjust the cell reference used in... | {} |
Sivaji IIT Bombay. This leads to the classical wave equation \dfrac {\partial^2 u}{\partial x^2} = \dfrac {1}{v^2} \cdot \dfrac {\partial ^2 … For example, the equation of state for a perfect gas is where Pis the pressure in Pascals, r is the density (kg/m3), ris the gas constant, and T Kis the temperature in Kelvin. L... | {} |
# Math Help - Find the maximum
1. ## Find the maximum
What's the maximum value of $\sin\alpha\sin\beta\cos\gamma+\sin^2\gamma$ if $\alpha+\beta+\gamma=\pi$ (angles of triangle...).
2. I didn't look at this at length, but you may try expanding it out to:
$\frac{sin(A+B-C)+sin(A-B+C)-sin(A-B-C)+sin^{2}C}{4}$
Now, si... | {} |
# ListOp¶
class ListOp(oplist, combo_fn=<function ListOp.<lambda>>, coeff=1.0, abelian=False, grad_combo_fn=None)[소스]
기반 클래스: qiskit.aqua.operators.operator_base.OperatorBase
A Class for manipulating List Operators, and parent class to SummedOp, ComposedOp, and TensoredOp.
List Operators are classes for storing and... | {} |
# AVL Tree
Question 1
The minimum height of an AVL tree with n nodes is
A $\text{Ceil } (\log_2(n+1))$ B $1.44\ \log_2n$ C $\text{Floor } (\log_2(n+1))$ D $1.64\ \log_2n$
ISRO CSE 2020 Data Structure
Question 1 Explanation:
Question 2
In a balanced binary search tree with n elements, what is the worst case time c... | {} |
# Adam spent $3.42 on orange juice. Orange juice costs$0.12 per ounce How many ounces of orange juice did Adam buy?
Apr 18, 2018
#### Answer:
$28.5$ ounces
#### Explanation:
Divide $3.42 by the cost per ounce ($0.12). That gives you the number of ounces he purchased, or $28.5$ ounces. | {} |
# Proof in RSA encryption over multiplicative group
I everyone,
I am considering an RSA encryption over the multiplicative group $$G = (Z/nZ)$$ of the ring $$Z/nZ$$, where $$n = pq$$, and $$p$$ and $$q$$ are distinct odd primes.
First, I want to prove that $$H=\{x^4|x\in G\}$$ actually is a subgroup of $$G$$.
Next,... | {} |
SparkContext.addFile(path, recursive=False)[source]
Add a file to be downloaded with this Spark job on every node. The path passed can be either a local file, a file in HDFS (or other Hadoop-supported filesystems), or an HTTP, HTTPS or FTP URI.
To access the file in Spark jobs, use SparkFiles.get() with the filename ... | {} |
Main Fuzzy Modeling And Fuzzy Control
# Fuzzy Modeling And Fuzzy Control
,
Fuzzy logic methodology has been proven effective in dealing with complex nonlinear systems containing uncertainties that are otherwise difficult to model. Technology based on this methodology has been applied to many real-world problems, espe... | {} |
# Lap fillet weld bending
1. Apr 5, 2008
### Fantastic Fox
I have to design a lap fillet weld joining a plate to the top flange of an beam. There will be a force acting down on the plate so the weld will be bending. How do I calculate the stress on the weld?
l l <- Forces acting on the plate and beam
--------------... | {} |
# mussvextract
Extract `muinfo` structure returned by `mussv`
## Synopsis
`[VDelta,VSigma,VLmi] = mussvextract(muinfo)`
## Description
A structured singular value computation of the form
```[bounds,muinfo] = mussv(M,BlockStructure) ```
returns detailed information in the structure `muinfo`. `mussvextract` is use... | {} |
# 4: Perception
Have you ever encountered someone who “made your skin crawl,” even though he was of the same race or ethnic group as you? Or someone with whom you were afraid to start a conversation, even though you had never seen or attempted to talk to the person before? Have you ever met someone whom you assumed t... | {} |
# Intergal of non negative measurable function on measurable set.
Let $$(X,M,\mu)$$ is measure space
$$f$$ is non negative measurable function .
E is measurable set in M .
then $$\int_E f=\int \chi_E f$$
My Attempt: $$\int f=\sup_{0\leq \phi \leq f }{\int \phi }$$ where $$\phi$$ is simple function
$$\int_E f=\sup... | {} |
eTheses Repository
# Remediation of acid mine drainage using natural zeolite
Ph.D. thesis, University of Birmingham.
PDF (3690Kb)
## Abstract
This research focuses on the removal of Fe, Cu, Zn and Mn from synthetic metal solutions and real AMD from Wheal Jane mine using natural zeolite. Laboratory experiments wer... | {} |
# Let’s Get Real: Why The Reporting On 3D TV Is Mostly Hype
Sit through one too many CES keynotes, press conferences, or pitches, and you just might leave Las Vegas with the mistaken idea that 3DTV is going to be in all of our living rooms next year. ESPN (NYSE: DIS) and Discovery are committing to 3D cable and satell... | {} |
# Convexity of a function
I would like to show that this function
$$2x^2 + 8y^2$$
is convex or concave by using the definition
$$f(θx+(1−θ)y) \le θf(x)+(1−θ)f(y)$$
From my understanding, using the Hessian matrix, I believe for certain I can show that the function is positive definite and hence convex.
But I'm not... | {} |
# UTTARAKHAND BOARD CLASS 11 Exam
Start your preparation now with Embibe to increase
• Attempt latest pattern mock tests
• Chat with subject experts 24/7
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• Written by nikhil
• Written by nikhil
## Uttarakhand Board Class 11
### Exam Brief
The Uttarakhand Board of School Education (U... | {} |
# Cal II Question
## Main Question or Discussion Point
Explain how to complete these problems:
lim (x-1)^1/2 - 2/ x^2-25
x 5
lim x + 1-e^x/ x^3
x 0+
lim x^3/2 + 5x - 4/ x ln x
x infinity
lim tan x ln sin x
x pie/2-
lim (cos x)^x+1
x 0
lim (1+1/x)^5x
x infinity
Tonya Miller said:
Explain how to complete these p... | {} |
HOME CÕRmĂ܂H
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@ƃbZ[WvԊ2012.11.8
ƃbZ[WvԊhttp://consult.nikkeibp.co.jp/consult/news/2012/1026cm/http://trendy.nikkeibp.co.jp/article/pickup/20121025/1044896/?SS=expand&F...1ʁ@be@̗l2ʁ@t@~[}[g@ȂƁARrjɁAt@~[}[g3ʁ@RXΖ@RR^4ʁ@jg@A˂ȏBjg5ʁ@JsX@J_Ƀs[X@Calpis6ʁ@P[Yz[fBOX@Vi7ʁ@[\@}`̂قƃXe[V8ʁ@쏊@Inspire... | {} |
Lemma 15.81.19. Let $(R \to R', f)$ be a glueing pair. Let $M$ be an $R$-module which is not necessarily glueable for $(R \to R', f)$. Then $M$ is flat over $R$ if and only if $M \otimes _ R R'$ is flat over $R'$ and $M_ f$ is flat over $R_ f$.
Proof. One direction of the lemma follows from Algebra, Lemma 10.38.7. Fo... | {} |
2018 Jan 30
# Action Now Seminar: Oren Becker (HUJI), "Stability and Invariant Random Subgroups"
11:30am to 12:30pm
## Location:
IIAS, HUJI, Feldman Building, Room 130
2018 Apr 12
# Colloquium: Ron Peretz (Bar Ilan) - "Repeated Games with Bounded Memory - the Entropy Method"
2:30pm to 3:30pm
## Location:
Manche... | {} |
SMS scnews item created by Anthony Henderson at Wed 8 Apr 2015 1721
Type: Seminar
Modified: Mon 18 May 2015 1110; Tue 19 May 2015 1019; Mon 25 May 2015 0948; Thu 4 Jun 2015 1004
Distribution: World
Expiry: 24 Jun 2015
Calendar1: 22 May 2015 1200-1300
CalLoc1: Carslaw 375
CalTitle1: CANCELLED THIS WEEK: Special Lecture ... | {} |
Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | {} |
H2S CF4 NF3 OF2. Now we just have to decide whether $\ce{H2O}$ or $\ce{H2S}$ has a smaller bond angle. All Rights Reserved. Bond angles for H2Se. But in H2S the bond angle is around 92 degrees. The bond angle for H2S is 92.1°. Expert Answer . So, using both the Valence Shell Electron Pair Repulsion (VSEPR) Theory and ... | {} |
## Chemistry and Chemical Reactivity (9th Edition)
Oxygen ions: $4\times1/2=2$ in the faces, and two wholly inside, four in total. Titanium ions: $8\times1/8=1$ in the vertexes, and one in the center, two in total Since the formula unit is $TiO_2$, there are two formula units in the lattice. | {} |
Condensed Matter Physics, 2003, vol. 6, No. 4(36), p. 703-711, English
DOI:10.5488/CMP.6.4.703
Title: INTERACTIONS BETWEEN STAR POLYMERS: HIGH-ORDER CALCULATIONS OF THE SCALING EXPONENTS
Author(s): V.Schulte-Frohlinde (Theoretische Polymerphysik, Universit{\"a}t Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Ge... | {} |
# Visualizing Lattice Products
Partial orders can be thought of as a set $S$, and a partial relation on that set, $\le$. If a greatest lower bound and least upper bound exist for any subset of $S$, the poset defines a lattice.
The sum operator can be defined on lattices as follows:
$$L_1 + L_2+...+ L_n = \{ (i, x_i)... | {} |
# zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | {} |
## Featured resource
### Problem Pictures: Numbers - single user
The third in the series continues the tradition of bringing mathematics to life with photographs using attractive, unusual and puzzling images.
Members: $52.00 inc.GST Others:$ 65.00 inc.GST
# Why the SKA on National Mathematics Day 2011?
National Ma... | {} |
Posts Tagged ‘ Abstract Nonsense ’
## Left-Handed Commutative Algebra
We will construct the category of Algebraic spaces following the program outlined by James Borger, that is, relying only on commutative algebra, category theory, and the powerful theory of Descent. At the moment, we intend to follow classical desce... | {} |
#### Smiles
##### Member
last year while i was trying my friend's cube, the very first 2 solves i got were both non-AUF PLL skips.
1/(72*4)^2 = 1/82944.
based on these results, his cube doesn't need PLL. i should get his cube.
#### MorrisKid101
##### Member
Acts of God?
I was practising my algorithm s earlier and ... | {} |
##### Page tree
Go to start of banner
# Advanced Usage: FileComparator and FileMutator
Go to start of metadata
Describing file validations in YAML involves 3 main propertiesresourcescomparators, and mutators. Before listing the full format, FileComparator and FileMutator will be covered briefly.
## Overview of File... | {} |
doctoral thesis
Solving robust variants of the maximum weighted independent set problem
University of Zagreb
Faculty of Science
Department of Mathematics
Cite this document
Klobučar, A. (2019). Solving robust variants of the maximum weighted independent set problem (Doctoral thesis). Retrieved from https://urn.nsk.h... | {} |
# How do I get more information on how to use a command/application?
There are three main repositories of documentation in UNIX.
• man - The UNIX Manual
• info - The UNIX Information System
• doc - The Documentation Tree
man gcc | {} |
Students can also read Online Education MCQ Questions for Class 10 History Chapter 4 The Making of Global World Questions with Answers hope will definitely help for your board exams. https://ncertmcq.com/mcq-questions-for-class-10-social-science-with-answers/
## Online Education for The Making of Global World Class 10... | {} |
I am a bit confused about the use of 'that' and would : GMAT Sentence Correction (SC)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 09 Dec 2016, 14:45
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your... | {} |
# How to create a tabbed box using TikZ?
I'd like to create a new style in TikZ for nodes with transparent background, rounded corners, with labels oriented vertically on their left on a opaque fill (similar to a tabbed paper). A sample sketch is given below. The "Label" will be given to the style as parameter.
• You... | {} |
# Sentence Examples with the word Foreshortening
He did not obey the laws of I linear perspective as they are formulated in the Occident, nor did he show cast shadows, but his aerial perspective and his foreshortening left nothing to be desired.
Regarded as a linear velocity, the parallactic motion is the same for al... | {} |
How do I properly use multimarker in an xml file?
I am trying to detect three AR trackers with the ar_track_alvar package link ar_track_alvar package. The three trackers should be detected as a bundle. My xml file which describes the markers looks as follows:
<multimarker markers="3">
<marker index="0" status="1">
<... | {} |
# zbMATH — the first resource for mathematics
Addendum to “Complex transformation method and resonances in one-body quantum systems”. (English) Zbl 0599.47018
In this addendum to his paper the author communicates an observation of H. Cycon that his condition (3.8) [ibid. 41, 103-114 (1984; Zbl 0568.47008)] cannot be n... | {} |
# Mechanics of solids prob. help
1. Dec 16, 2008
### rahshail
Mechanics of solids prob. help!!
here is a prob. i have.anybody help.
Three beams have the same length, the same allowable stress and the same B.M. The cross section of the beams are a circle, a square, and a rectangle with depth twice the width. weight ... | {} |
## 6.6 Task 9-1 Review
### 6.6.1 From Day 21
• 9-1-1. In yScale, if .range(0, h), then the y axis should be h - yScale(d). If .range(h,0), then the height of bars should be h - yScale(d).
### 6.6.2 From Day 22
• 9-1-2.
• It should be paddingInner(), rather than PaddingInner().
• {return "rgb( )"}
• 9-1-3. .attr("t... | {} |
# How do you solve the following system?: x +2y =-7 , -2x +2y = 4
Jun 6, 2018
$x = \frac{11}{3}$
$y = - \frac{5}{3}$
#### Explanation:
$x + 2 y = - 7 \text{ } \left(1\right)$
$- 2 x + 2 y = 4 \text{ } \left(2\right)$
Subtract equation $\left(1\right)$ from $\left(2\right)$
$- 3 x = 11$
$x = - \frac{11}{3}$
S... | {} |
hPDB-1.2.0.10: Protein Databank file format library
Bio.PDB.Structure.Elements
Description
Basic properties of chemical Elements as suggested by Cambridge Structural Database.
NOTE: This module contains functions that could use hash tables for the lookup instead. See https://ghc.haskell.org/trac/ghc/ticket/10565
S... | {} |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
# Challenging complex numbers problem (1 of 3)
## Video transcript
Let z1 and z2 be two distinct ... | {} |
# 数学代写|优化理论作业代写optimization theory代考|МАTH4230
## 数学代写|优化理论作业代写optimization theory代考|Validation by Synthetic Cases and Real PMTs
Then, the same identifications in the PMT and in the excavation tests were conducted again using the proposed algorithm. Table $4.7$ shows the optimization results, and Fig. $4.10$ shows the... | {} |
# What number of electrons would carry a total charge of one coulomb?
There are $6.25 \times {10}^{18}$ electrons per coulomb of charge
Alternatively, you could take the reciprocal of the elementary charge, $1.6 \times {10}^{- 19}$ coulombs per electron, and you would have the number of electrons per coulomb:
$\frac{1... | {} |
# If $A= \begin{bmatrix} 0 & 1 & 2\\ 1& 2 &3 \\ 3& 1&1 \end{bmatrix},$ find A-1. Using A-1 , solve the system of equations $y+2z= 5$ $x+2y+3z= 10$ $3x+y+z= 9$
$A= \begin{bmatrix} 0 & 1 &2 \\ 1& 2 &3 \\ 3 & 1 &1 \end{bmatrix}$
$y+2z= 5$
$x+2y+3z= 10$
$3x+y+z= 9$
$\therefore \left | A \right |= 0 \left ( 2-3 \right )... | {} |
# Tag Info
5
For any single chunk (window) of data the coherence will, as you observed, be 1. In order to properly estimate coherence you must average the spectra and cross-spectra for multiple windows, and THEN calculate coherence. The auto-spectra XX and YY can be averaged the conventional way. For the cross-spectr... | {} |
# The meaning of Bayesian update
I'm new in Bayesian inference and I can't found the answer to this:
In real life scenario people use MCMC to compute the posterior distribution given the likelihood and the prior. Analytical solutions are not possibles. Bayesian people often say "we update our prior believe given some... | {} |
# IEEE Transactions on Information Theory
## Filter Results
Displaying Results 1 - 25 of 37
• ### Lower and upper bounds on the optimal filtering error of certain diffusion processes
Publication Year: 1972, Page(s):325 - 331
Cited by: Papers (33)
| | PDF (839 KB)
The optimal nonlinear filtering of certain vector-v... | {} |
# Evaluate: 9^x-7 * 3^x+10=0
## Expression: ${9}^{x}-7 \times {3}^{x}+10=0$
Write the number in exponential form with the base of $3$
${\left( {3}^{2} \right)}^{x}-7 \times {3}^{x}+10=0$
Use ${\left( {a}^{m} \right)}^{n}={\left( {a}^{n} \right)}^{m}$ to transform the expression
${\left( {3}^{x} \right)}^{2}-7 \tim... | {} |
# Why is hyphenation not tried for words followed by em-dash?
Consider the following mystory.tex:
\tolerance=10000 \hsize=.7in
\leavevmode\nobreak\hskip0pt Drofnats---or R. J.,''
\end
This is the log:
(mystory.tex
Overfull \hbox (17.41133pt too wide) in paragraph at lines 2--3
[] \tenrm Drofnats---|
[1] )
This i... | {} |
# The kinetic molecular theory attributes an average translational kinetic energy of $\large\frac{3}{2}\large\frac{RT}{N}$ to each particle. What rms speed woul a mist particle of mass $10^{-12}g$ have a root temperature $(27^{\large\circ}C)$ according to kinetic theory of gases.
$(a)\;0.35 \;cm\; sec^{-1}\qquad(b)\;3... | {} |
# Stueckelberg Feynman propagator computation
On page 35 of Itzykson-Zuber's textbook on quantum field theory, I am having trouble deriving equation (1-180):
$\displaystyle G_F(0,r) = \frac{i}{(2\pi)^2 r} \int_m^\infty dp \frac{p}{\sqrt{p^2-m^2}} e^{-pr}$
Here $G_F(0,r)$ is the Stueckelberg Feynman propogator $G_F(x... | {} |
# Real Sequence/Examples/n^(-1)
## Examples of Real Sequence
The first few terms of the real sequence:
$S = \sequence {n^{-1} }_{n \mathop \ge 1}$
are:
$1, \dfrac 1 2, \dfrac 1 3, \dfrac 1 4, \dotsc$
$S$ is strictly decreasing. | {} |
# Mutation
These routines allow modification of the mesh connectivity and insertion/deletion of elements.
Geometry-central is designed from the ground up to have good support for mesh mutation. The underlying HalfedgMesh data structure is index-based, with lazy expansion and deletion, so all operations run in (amorti... | {} |
UCRL-WEB-152471 Privacy & Legal Notice Thanks to Our Sponsors:
PCMDI > WCRP CMIP3 Model Output > Diagnostic Subprojects Printer Friendly Version
<< Back to WCRP CMIP3 Subproject Publications Ollinger, S.V., C. L. Goodale, K. Hayhoe and J. P. Jenkins, 2008: Potential effects of climate change and rising CO2 on ecosys... | {} |
The BlHeli configurator by @diehertz is here! And so is the beta version of DSHOT for BLHELI_S. In this guide I'll tell you a little bit about what I've learned from diehertz about BLHELI_S and how to flash your own ESCs.
## What is BLHELI_S? DSHOT?
The BLHELI_S description basically says that it's meant to be an eas... | {} |
# Essay:Hubble redshift in Einstein's universe
1. REDIRECT Hubble redshift in Einstein's universe
This essay is an original work of W. Jim Jastrzebski, file 160-12.htm JimJast 13:00, 27 August 2011 (EDT) Unofficial PhD program supervised by prof. Józef Namysłowski, The Institute of Theoretical Physics, University of ... | {} |
# Niea Fulseund uitiple @neicemuutetons For all other quc-tions, pleast circle your answere and glve cumplete Ieeaaethn Tnr fullecneHal Thrent questons
###### Question:
niea Fulseund uitiple @neicemuutetons For all other quc-tions, pleast circle your answere and glve cumplete Ieeaaethn Tnr fullecneHal Thrent questons... | {} |
## Algebra 1: Common Core (15th Edition)
Let x = the cost of peanuts. Let y = the cost of cashews. Write an inequality and solve it for y. $2x+4y \leq 12$ $4y \leq 12 -2x$ $y \leq 3 - \frac{1}{2}x$ Graph $y \leq 3 - \frac{1}{2}x$. The inequality symbol is $\leq$, so the boundary line is solid and you shade below it. T... | {} |
# To Serve Man
So there I was. 23 hundred hours, New Year’s Eve 2008 at my in-laws’ in Corvallis, Oregon. Kids asleep in the other room. Spouse headed in the same direction. Insomniac from lack of activity and feelings of general physical displacement. Not much prospect for a party or other New Year’s antics. Sounds l... | {} |
### Theory:
A perpendicular to a line can also be drawn without a point on it.
Let us look at how to do that.
Construction using rulers and set squares
Step $$1$$: Draw a line using a ruler on the sheet of paper.
Step $$2$$: Place a point $$P$$ anywhere on the sheet.
Step $$3$$: Place the set square on the line suc... | {} |
# Infinite coproduct of rings
I just learned from Wikipedia that coproduct of two (commutative) rings is given by tensor product over integers, and that coproduct of a family of rings is given by a “construction analogous to the free product of groups.” Can the tensor product approach be generalized to an arbitrary fa... | {} |
# Proving $a>b$ implies $P(Y>a|Y>b) > P(Y>a)$
Suppose you have a constants $a>b$, and $P(Y>b)<1$, then how can we show that $$P(Y>a|Y>b) > P(Y>a)?$$
I used the definition of conditional probability to get that
$$P(Y>a|Y>b) = P(Y>a, Y>b)/P(Y>b) = P(Y>a)/P(Y>b)$$
and since $P(Y>b) < 1$, I guess this means $P(Y>a)/P(Y... | {} |
## Posts Tagged ‘minimax inequality’
### Longest shortest geodesic on a 2-sphere
October 31, 2011
This is a little note about constructing a Riemannian 2-sphere which has longer shortest geodesic than the round 2-sphere of same area.
—– Background Story —–
So there has been this thing called ‘mathematical conver... | {} |
# Awesome geometry - 10
Geometry Level 5
Consider a circle with center$$A$$.
Consider point $$C$$ outside the circle .
Let Point $$B$$ be on the circle such that $$\overline{CB}$$ is tangent to the circle.
Consider a line passing through Point $$C$$ , which intersects the circle at points $$D, F$$.
Let $$\overlin... | {} |
# NCERT Class 10 Mathematics Chapter 2 Polynomials (For CBSE, ICSE, IAS, NET, NRA 2022)
Glide to success with Doorsteptutor material for CBSE/Class-10 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.
## Summary
In this chapter, you have studied the following points:
1. Poly... | {} |
I wanted to make a post about Pirates of the Caribbean: At world's end, which I just watched yesterday, but I was so overloaded with work I couldn't bring myself to post >_< sorry!!! I'll get it up soon... Meanwhile, I'll post up another Cute Nagato comic for your laughing pleasure!
*hint. Read them from right to left... | {} |
Calculus Weeks 3&4. Integration by parts This is another way to try and integrate products. It is in fact the opposite of the product rule for derivatives:
Presentation on theme: "Calculus Weeks 3&4. Integration by parts This is another way to try and integrate products. It is in fact the opposite of the product rule ... | {} |
## Parallelism – time complexity of Parallel.ForEach
``````// first select companies to process from db
foreach (company) {
// select the employees
foreach (employee of company) {
// select items they can access
foreach (item) {
// do some calculation and save
``````
I think this will be an O (n ^ 3) time complexity... | {} |
## A convexity theorem for semisimple symmetric spaces.(English)Zbl 0599.22014
In 1973, B. Kostant proved the following convexity theorem. Let $$G=KAN$$ be an Iwasawa decomposition of a connected real semisimple Lie group with finite centre, and $${\mathcal H}: G\to {\mathfrak a}$$ the corresponding Iwasawa projection... | {} |
# Research articles for the 2019-03-27
Appendix To 'Public Liquidity and Financial Crises'
Li, Wenhao
SSRN
This is the Appendix of the paper "Public Liquidity and Financial Crises", https://ssrn.com/abstract=3175101.
Assessment of Intellectual Capital Influence on Corporate Value as a Field for Further Investigations... | {} |
### HealthyUG's blog
By HealthyUG, 6 weeks ago,
Ever since CF introduced streams, a lot of CPers have become streamers, and even before that some youtubers were making CF contest editorials or screencasts, like SecondThread, Errichto, galen_colin, myself and maybe some more.
Now there are a lot more of such people. ... | {} |
2. Let $t = x^2$ to get:
$\displaystyle \int \frac{x}{36+(x^2)^2}\;{dx} = \frac{1}{2}\int\frac{1}{6^2+t^2}\;{dt} = \frac{1}{12}\arctan\frac{t}{6}+k = \frac{1}{12}\arctan\frac{x^2}{6}+k$. | {} |
# Ex.15.3 Q2 Introduction to Graphs Solutions - NCERT Maths Class 8
Go back to 'Ex.15.3'
## Question
Draw a graph for the following.
(i)
Side of square (in $$\rm{cm}$$) $$2$$ $$3$$ $$3.5$$ $$5$$ $$6$$ Perimeter (in $$\rm{cm}$$) $$8$$ $$12$$ $$14$$ $$20$$ $$24$$
Is it a linear graph?
(ii)
Side of square (in $... | {} |
# Exploring Links for the Gaussian Distribution
### Building Models
Pretending we don't know the correct answer, lets see if we can find the correct model. For a change we will compare the the link functions for the gaussian family.
glmIdentity <- glm(Y ~ X1 + X2, data = simdata, family = gaussian(link = "identity")... | {} |
# Pair correlation of zeros of the zeta function.
@article{Gallagher1985PairCO,
title={Pair correlation of zeros of the zeta function.},
author={Patrick X. Gallagher},
journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
year={1985},
volume={1985},
pages={72 - 86}
}
• P. Gallagher
• Publish... | {} |
# UvA-VU Dynamic Analysis Seminar talks from previous years
## 2017
22 November: Jeremie Joudioux (Nijmegen), 16:00-17:00, WN-F612
Title:The vector-field method for geometric transport equations with applications to stability problems in General Relativity
Abstract: The vector-field method, developed by Klainerman ... | {} |
10
Duality and the coarse assembly map
One of the most influential conjectures in coarse geometry is the coarse Baum-Connes conjecture. It states that the so-called coarse assembly map
$$\mu\colon K{\mathcal X}_*(X)\to K_*(C^*X)$$
should be an isomorphism for metric spaces $$X$$ of bounded geometry.
One way to inv... | {} |
# ProfiNet or ProfiNot
J
#### Jim Stewart
I just finished looking over the "draft" version of the ProfiNet specification from the PNO (Profibus Not-so Organization). I must say that it is remarkably unremarkable.
In order to avoid any conversational quagmires with respect to Industrial Ethernet as a whole, let us a... | {} |
# The functor category Funct(R-Mod, S-Mod)
Can you name some properties of the functor category Funct(R-Mod,S-Mod), where R,S are associative rings with unit?
EDIT: I am sorry for the lack of precision of my (first in MO) question. I was thinking in a sort of Yoneda's Lemma for functors $F\colon R\mbox{-Mod}\to S\mbo... | {} |
%******************************************************************************* % Copyright (c) 2014 Formal Mind GmbH and others % All rights reserved. This program and the accompanying materials % are made available under the terms of the Eclipse Public License v1.0 % which accompanies this distribution, and is avail... | {} |
# Ernest does not know the color of his hat (3)
(again a more a difficult one)
The (same) premise: An unknown number of people stands on a line playing a hat guessing game
• they may not move during the game, they can only look straight ahead (each person in a direction along the line, i.e. right or left depending on... | {} |
# Valuing FRA
I am struggling to value this FRA “Suppose we entered a receive- floating 6 × 9 FRA at a rate of 0.86%, with notional amount of C$10,000,000 at Time 0. The six- month spot Canadian dollar (C$) Libor was 0.628%, and the nine- month C$Libor was 0.712%. Also, assume the 6 × 9 FRA rate is quoted in the marke... | {} |
# Spaces which have the same homology groups, the same cohomology groups, but have different cohomology rings?
Does anyone have an example of two spaces which have the same homology groups, the same cohomology groups, but have different cohomology rings?
is it possible?
-
sounds like a homework problem to me. – Ian... | {} |
2.0.CO;2, "An approximating polynomial for the computation of saturation vapor pressure", 10.1175/1520-0450(1977)016<0100:AAPFTC>2.0.CO;2, "Vapor pressure formulation for water in range 0 to 100°C. Continue on to learn about dozens of water properties. <> : Communication I.. Zh.Prikl.Khim. x���1K1��@�Ô�ō���NR�*X����Dq-... | {} |
# China Southern Airlines
## Buy China Southern Airlines Tickets
Bangkok - Hubei
02:20, 02:50, 12:25, 18:35
Beijing - Guangdong
06:20, 06:35, 07:55, 08:10, 09:00, 11:00, 13:00, 14:00, 15:00, 15:25, 17:00, 17:35, 18:00, 20:00, 21:00
Beijing - Guangzhou
06:30, 07:15, 07:20, 07:30, 07:55, 08:30, 09:30, 11:30, 12:10, 12:... | {} |
# Computer Gaming and the Gender Math Gap: Cross-Country Evidence among Teenagers ☆
ISBN: 978-1-78756-462-6, eISBN: 978-1-78756-461-9
ISSN: 0147-9121
Publication date: 6 August 2018
## Abstract
Using the Program for International Student Assessment (PISA) surveys (2003–2015), this chapter explores the relationship... | {} |
# Centripetal force problem ( not enough givens?)
Hey guys, I could not understand this question. There weren't enough givens for myself to understand how to get the period.
1. Earth and the Moon are seperated at their centres by a distance of 3.4x10^8m. Determine the period of the Moon's rotation about Earth.
2. mv... | {} |
# Creative Commons logo
I have found the ccicons package to typeset Creative Commons logos, but I'm wondering if there is a package that typesets logos like this one:
If not, how would you do that in TiKz or graphicx?
Edit:
I got the svg version of the logo, converted it to PDF with Inkscape, and I'm using the foll... | {} |
# American Institute of Mathematical Sciences
December 2011, 31(4): 1365-1381. doi: 10.3934/dcds.2011.31.1365
## Radial solutions to energy supercritical wave equations in odd dimensions
1 Department of Mathematics, University of Chicago, Chicago, Illinois, 60637-1514, United States 2 Cergy Pontoise (UMR 8088) and... | {} |
## middleclass & extras: middleclass 3.0 is out!
blenderer
Prole
Posts: 16
Joined: Fri Feb 12, 2010 1:19 am
### Re: MiddleClass & MindState: Object Orientation for LUA
problem resolved, thanks
Last edited by blenderer on Wed Apr 14, 2010 7:56 pm, edited 1 time in total.
bartbes
Sex machine
Posts: 4946
Joined: Fri A... | {} |
Question
# The shadow of a tower standing on level ground is found to be $40m$ longer when the sun's altitude is $30{}^\circ$ than when it is $60{}^\circ$. Find the height of the tower.
Hint: First draw a figure so that you can understand. Label the figure according to the question. Consider one Right-angled triangle... | {} |
# Golf you a quine for great good!
Using your language of choice, golf a quine.
A quine is a non-empty computer program which takes no input and produces a copy of its own source code as its only output.
No cheating -- that means that you can't just read the source file and print it. Also, in many languages, an empt... | {} |
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