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# Logical definition with equalily and Law of Identity in Suppes' “Introduction to Logic”
Patrick Suppes' "Introduction to Logic" provides rules for formal definitions in chapter 8. The rules below are specified for a new operation symbol with equality:
An equivalence $$D$$ introducing a new n-place operation symbol ... | {} |
Algebra and Trigonometry
# 7.4The Other Trigonometric Functions
Algebra and Trigonometry7.4 The Other Trigonometric Functions
### Learning Objectives
In this section you will:
• Find exact values of the trigonometric functions secant, cosecant, tangent, and cotangent of$π 3 , π 4 , π 3 , π 4 ,$and$π 6 . π 6 .$
• Us... | {} |
# Power to Ramanujan in 2017
$x^{1729}\equiv 1\pmod{2017}$
How many positive integer solutions $$x<2017$$ does the congruency above have?
× | {} |
# Maths Sets - Online Test
Q1. Two sets A and B are said to be disjoint iff
Explaination / Solution:
Two sets are called disjoint if and only if these two set have no common element i.e A∩B=∅
Q2. Which of the following is a null set ?
Explaination / Solution:
[i=imaginory root of unity which is a complex no.]
sinc... | {} |
# An application of s-elementary wavelets in numerical solution of differential and fractional integral equations
Document Type : Research Paper
Authors
1 Department of Mathematics, Payame Noor University (PNU) P. O. Box 19395-4697, Tehran, Iran
2 Department of Applied Mathematics, Faculty of Mathematics and Comput... | {} |
# Axiom of infinity?
Homework Helper
In ZF, the axiom of infinity says that the set of natural numbers exists. I was wondering if there was a (finitist?) weakening of ZF that included the axiom "the class of natural numbers exists". | {} |
# Construct an explicit isomorphism
1. Dec 24, 2013
### bedi
$\Bbb{R}P^1$ bundle isomorphic to the Mobius bundle
I'm trying to construct an explicit isomorphism from $E = \{([x], v) : [x] ∈ \Bbb{R}P^1, v ∈ [x]\}$ to $T = [0, 1] × R/ ∼$ where $(0, t) ∼ (1, −t)$. I verified that $\Bbb{R}P^1$ is homeomorphic to $\Bbb{... | {} |
# Is a subspace the direct sum of all its intersections with a partition of the basis?
1. May 25, 2012
### imurme8
I've been working on this Linear Algebra problem for a while: Let $F$ be a field, $V$ a vector space over $F$ with basis $\mathcal{B}=\{b_i\mid i\in I\}$. Let $S$ be a subspace of $V$, and let $\{B_1, \... | {} |
# Network Embedding
Information network mining often requires examination of linkage relationships between nodes for analysis. Recently, network representation has emerged to represent each node in a vector format, embedding network structure, so off-the-shelf machine learning methods can be directly applied for analy... | {} |
Software › pipelines
# Customized Secondary Analysis using cellranger-atac reanalyze
The cellranger-atac reanalyze command reruns secondary analysis performed on the peak-barcode matrix (dimensionality reduction, clustering and visualization) using different parameter settings.
## Command Line Interface
These ar... | {} |
## an error I just can't crack
Please discuss general Delphi programming topics here.
### an error I just can't crack
I am getting the following error.
"Types of actual and formal var parameters must be identical" I was wondering if someone would be able to comment on the error and help me out a bit more. I just ca... | {} |
# proof of example of medial quasigroup
We shall proceed by first showing that the algebraic systems defined in the parent entry (http://planetmath.org/MedialQuasigroup) are quasigroups and then showing that the medial property is satisfied.
To show that the system is a quasigroup, we need to check the solubility of ... | {} |
# Greenhouse gases
A post (below) on the Bishop Hill blog relating to climate change asserts that no warming effect can be attributed to $\mathrm{CO_2}$. I don't know whether the author is really a physicist but it sounds impressive (Planck spectra and black-body radiation etc). Can someone explain in layman's languag... | {} |
# American Institute of Mathematical Sciences
March 2005, 4(1): 1-8. doi: 10.3934/cpaa.2005.4.1
## Regularity of solutions for a system of integral equations
1 Department of Mathematics, Yeshiva University, New York, NY 10033, United States 2 Department of Applied Mathematics, University of Colorado at Boulder, Bo... | {} |
MathSciNet bibliographic data MR1459271 60G55 (60D05 60F05 60F17 60G60) Chiu, S. N.; Quine, M. P. Central limit theory for the number of seeds in a growth model in \$\bold R\sp d\$$\bold R\sp d$ with inhomogeneous Poisson arrivals. Ann. Appl. Probab. 7 (1997), no. 3, 802–814. Article
For users without a MathSciNet lic... | {} |
Cuboid and ratio
Cuboid has dimensions in ratio 1:2:6 and the surface area of the cuboid is 1000 dm2. Calculate the volume of the cuboid.
Result
V = 1500 dm3
Solution:
$V = abc \ \\ a:b:c = 1:2:6 \ \\ a = 1k \ \\ b = 2k \ \\ c = 6k \ \\ S = 1000 \ \\ S = 2(ab+bc+ac) \ \\ S = 2(2k^2+12k^2+6k^2) = 40 \ k^2 \ \\ k =... | {} |
# Restriction of a scheme morphism to a closed subset
I've been working through a proof of Chevalley's theorem for the special case of morphisms of finite type between Noetherian schemes as outlined in Görtz-Wedhorn Theorems 10.19 and 10.20 on page 248.
The claim of Theorem 10.19 is:
If $f:X\rightarrow Y$ is a domin... | {} |
# Tag Info
Suppose that you are riskless asset with return $r_{ft}$ and a risky asset with return $r_t$ and conditional volatility $\sigma_t(r_t) := \sqrt{V_t(r_t)}$. We build a portfolio using weights $(w_1, w_2) \in \mathbb{R}$, or as you wrote it $w_t := w_{1t}$, $w_{2t} := 1 - w_t$. This portfolio will have a time... | {} |
# Of example matrix moment inertia
## MomentInertia.html York University
Moment of inertia Revolvy. Chapter 9 rigid body motion in 3d moment of inertia about an axis passing through the the scalar moment of inertia can be found by simple matrix, chapter 10 rigid bodies 10.1 moments of inertia is the inertia tensor at... | {} |
# Dimensional analysis
1. Aug 28, 2012
### therealDR.DOG
Dimensional analysis....
I am having a real hard time wrapping my head around dimensional analysis. Can someone please explain it in english? Thanks.
2. Aug 28, 2012
### Dickfore
Re: Dimensional analysis....
Every physical quantity f has dimensions ([f]) ... | {} |
## Contents
The rules for adding binary numbers are similar to the rules for adding decimal numbers. When adding two decimal numbers such as
2 3 6 5 8
+ 4 1 2 4 8
_________
a series of rules are followed. First, a table of all possible two-digit sums of two decimal numbers must be known:
0 + 0 ____ 0 0 + 1 _... | {} |
# Generalizations of “standard” calculus
We have the usual analogy between infinitesimal calculus (integrals and derivatives) and finite calculus (sums and forward differences), and also the generalization of infinitesimal calculus to fractional calculus (which allows for real and even complex powers of the differenti... | {} |
# 'MPI' has not been declared
31 posts / 0 new
'MPI' has not been declared
#1
Hello,
I have built the MPI binaries many times without issue... until now. I have two machines with the same Ubuntu build, openmpi, and site.settings file on them. The build goes fine on one, but fails on the other (I did the openmpi in... | {} |
# Algorithm to add all lucky numbers under [N] to a Vector
A lucky number is defined as a positive integer whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. I need to check if a given number is evenly divisible by any lucky number or ... | {} |
### Consecutive Numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
### Calendar Capers
Choose any three by three square of dates on a calendar page...
### Days and Dates
Investigate how you can work out what day of the week your birthday will b... | {} |
Grading some assignments the other day on the syntax and semantics of “unless”, I was pretty astounded by the range of intuitions students had about what the truth table for “$\alpha$ unless $\beta$” should be. I got nearly every one of the 16 possibilities. OK, maybe not that many. But there was one common “mistake” a... | {} |
## 15.55 a
Meghna2A
Posts: 32
Joined: Fri Sep 29, 2017 7:06 am
### 15.55 a
(a) For a reaction with a very large equilibrium constant, the rate constant of
the forward reaction is much larger than the rate constant of the reverse reaction. Why?
rkusampudi
Posts: 58
Joined: Fri Sep 29, 2017 7:04 am
### Re: 15.55 a
... | {} |
# Past Year CBSE Board Paper
2017 Class 10 Math Set 3 Q29. Quadratic Equation
#### Video Explanation
Let A take ‘a’ days to finish the work.
Let B take ‘b’ days to finish the work.
A takes 6 days lesser than B to do a work i.e., a = b – 6 ........... (1)
Together, they finish the work in 4 days. So, in one day they... | {} |
# Why are campaign finance laws administered by the Federal Election Commission (FEC) not well enforced?
###### Question:
Why are campaign finance laws administered by the Federal Election Commission (FEC) not well enforced?
### Aracel Engineering completed the following transactions in the month of June. a. Jenna A... | {} |
Based on your location, we recommend that you select: . Use the poly function to obtain a polynomial from its roots: p = poly(r).The poly function is the inverse of the roots function.. Use the fzero function to find the roots of nonlinear equations. You can also select a web site from the following list: Select the Ch... | {} |
# A Complex equality
The following showed up in a solution to a problem I'm working on. $$(1+in)e^{inx}.$$ To finish the solution I have to show that the displayed equation above is real and I don't know how. I came up with the following $$e^{inx}+e^{-inx}=2\cos(nx)$$ $$in\left(e^{inx}-e^{-inx}\right)=-2n\sin(nx)$$ bu... | {} |
# How do i prove dimension theorem as a corollary of a given theorem?
(I'm assuming full axiom of choice in this post)
Theorem: Let $V$ be a vector space and $\beta$ be a basis for $V$ and $S$ be a linearly independent subset of $V$. Then, there exists $H\subset \beta$ such that $H\cup S$ is linearly independent.
Is... | {} |
2Provide the details. In addition, a com-mand of basic algebra is required. Basic Point-Set Topology 3 means that f(x) is not in O.On the other hand, x0 was in f â1(O) so f(x 0) is in O.Since O was assumed to be open, there is an interval (c,d) about f(x0) that is contained in O.The points f(x) that are not in O are ... | {} |
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.
# Graphing proportional relationships
## Problem
Graph the line that represents a proportional re... | {} |
» Home » Products » Features » Extended regression models (ERMs)
## Extended regression models (ERMs)
### Highlights
• Regression combining common complications
• Endogenous covariates
• Sample selection
• Nonrandom treatment assignment
• Exogenous, based on observed variables
• Endogenous, involving unobservabl... | {} |
# Prim's algorithm
In computer science, Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a connected weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. The algo... | {} |
Q&A
# Filter Impedance Consideration
+2
−0
In a lot of textbooks, filters seem to be designed around a matching source and load impedance. However, If I have a filter stage between an antenna and an LNA, wouldn't I want the load impedance(input to the LNA) to be large with respect to the source(antenna) in order to ... | {} |
# [texhax] \section text in cross-refs
Sat Jul 16 06:43:25 CEST 2005
On Sat, July 16, 2005 2:47 am, Alan Litchfield said:
>
> Is there a package that will place \section{} text inside cross
> references?
nameref.sty does the job for you. You need to use \nameref instead of
\ref. nameref.sty is part of hyperref bu... | {} |
Grain Reconstruction edit page
By grain reconstruction we mean the subdivision of the specimen, or more precisely the measured surface of the specimen, into regions of similar orientation which we then call grains. Note that there is no canonical definition of what is a grain. The grain reconstruction method that is d... | {} |
# Events Archive
## Juan Collar
#### New directions in coherent elastic neutrino-nucleus scattering
##### Physics Colloquium
July 2, 2020
Zoom | Thursday, 3:30 pm
## The Fuzzy Nanoparticle, the Fuzz, and the Water Slab
These three will meet with us via Zoom Friday at noon.
THey won't start their act until 12:15.... | {} |
# Determining excitated state of an electron of an $\rm H$ atom
Suppose we have an electron of $\rm{H}$ atom( suppose it is at 4th shell). But it can't remain in the excited state for a long time. So it can jump to 1st ,2nd or the 3rd orbital. What is the factor that decides whether the electron will jump to any one o... | {} |
Table 4.
Analysis of Maximum Likelihood Estimates for the Full Logistic Regression Model Related to Odds of Readmission
• a P<.05. | {} |
×
# INO 2015
Here are the question papers with solutions of INOs (Indian National Olympiads) held on 31 Jan, 2015 and 1 Feb, 2015.
Note
1. You might have to append extension .pdf on downloading.
2. It would be nice if someone can provide me a link for INMO.
3. Abbreviations:
• INChO:Indian National Chemistry Olympi... | {} |
NULL
Countries | Regions
Countries | Regions
Article Types
Article Types
Year
Volume
Issue
Pages
IMR Press / JOMH / Volume 18 / Issue 11 / DOI: 10.31083/j.jomh1811211
Open Access Original Research
Health Perceptions of Korean and Japanese Adolescents During the Prolonged COVID-19 Pandemic: An Importance Performance Ana... | {} |
# Bibliothèque
## I Used to Have a Best Friend (But Then He Gave Me an STD)
13 écoutes | Se rendre sur la page du titre
Du Vendredi 2 mars 2012 au Samedi 2 juin 2012 Tout le temps
Titres (13)
Titre Album Durée Date
I Used to Have a Best Friend (But Then He Gave Me an STD) 4:06 5 mai 2012, 22h20m
I Used to Have a Be... | {} |
## Abstract and Applied Analysis
### A Novel Data-Driven Fault Diagnosis Algorithm Using Multivariate Dynamic Time Warping Measure
#### Abstract
Process monitoring and fault diagnosis (PM-FD) has been an active research field since it plays important roles in many industrial applications. In this paper, we present a... | {} |
Thread: Prove that for every prime p, there is an irreducible quadratic in Z_p[x]
1. Prove that for every prime p, there is an irreducible quadratic in Z_p[x]
Prove that for every prime p, there is an irreducible quadratic in $Z_p[x]$ (the polynomial ring of the integers mod p).
I have not been able to wrap my brain... | {} |
# Rambling Thoughts
## ARML
ARML (American Regions Mathematics League) is an annual math contest that takes place every year at four sites around the country. It’s one of my favorite math contests.
ARML is different from most other math contests because it requires teams to travel to one of four central sites. This ... | {} |
###### How to determine epsilon and MinPts parameters of DBSCAN clustering
December 18, 2020
###### Maximum Likelihood Estimation (MLE) and Maximum A Posteriori (MAP) Simply explained
February 8, 2021
http://activisiongamescience.github.io/2016/01/11/Implicit-Recommender-Systems-Biased-Matrix-Factorization/
In today’... | {} |
# nLab Élie Cartan
Related Lab entries
Élie Joseph Cartan was a French differential geometer. His results include the classification of complex semisimple Lie algebras (“Cartan classification”), extension of these results to a class of symmetric spaces, the proof of the Lie–Cartan theorem (after Serre sometimes calle... | {} |
# Brackets in Boolean ALgebra Distributive Law
What is the purpose of the brackets in all the examples I've seen of the distributive law? Why are there no brackets when distributing an AND term and there are when distributing an OR term? Could I write:
X * (Y + Z) = (X * Y) + (X * Z)?
eg of law. X * (Y + Z) = X * Y ... | {} |
# Very Long Distance Ethernet connection for Internet and other data (2000 feet)
I am building a house. It's located about 2000 feet away from the nearest Internet cable. I had to run our electrical service underground the whole way, and have already installed a conduit for internet/phone cables from end to end with p... | {} |
Lecture 13: Lecture notes
Population Dynamics – Part 2
• Populations with age structure
• Managing natural populations
• Life histories
• Spatial Structure
Remember….. Nt = λtN0
1. This Tells Us Nothing About the Age Distribution of Individuals in the Population
• Why does that matter?
• Most populations that we’r... | {} |
Their path is not so straightforward. These beta particles are generally in the form of electrons or positrons (which are electrons with a positive electric charge). In Beta decay, a high-energy electron (called a beta particle) is emitted from a neutron in the nucleus of a radioactive atom. Clearly, the reaction appea... | {} |
## solving for x: log_7(1) = x - 2
Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
### solving for x: log_7(1) = x - 2
log_7(1)=x-2
softballprincess9
Posts: 1
Joined: Tue Nov 10, 2009 6:16 am
The equivalent exponential equation is:
. . . . .$7^{x\, -\,2}\, =\, 1$
Wh... | {} |
# Very simple tcolorbox with picture in header
I try to add picture.png in header of tcolorbox. I want to place this picture in bottom title belt.
This is my box:
\newtcolorbox{SimpleBox}{
breakable,
enhanced,
colback=red!0!white,
colframe=red!75!black,
title={\large Simple box},
}
How I can add picture.png?
When... | {} |
# Running Qualification & Profiling Tool Benchmark
2. Connect to the sparkrunner pod.
Copy
Copied!
kubectl exec --stdin --tty sparkrunner-0 -- /bin/bash
3. If you have completed any of the previous labs there should be Spark logs in the following location /data/eventlogs. We will be using some or all of those logs... | {} |
react so rapidly with oxygen they form superoxides, in which the alkali metal reacts with $\ce{O2}$ in a 1:1 mole ratio.. Alkali metal oxides, M2O (M is Li, Na, K, and Rb), have the antifluorite structure (refer to Section 2.2 (e)), and Cs2O is the anti-CdCl2 lamellar structure (refer to Section 4.5 (d)). The heteropol... | {} |
# Problem concerning the use of Pigeonhole (Box) principle
Question:
Take any $$37$$ integers from the set {$${1,2,…,112}$$}. Show that there will always exist two integers $$x,y$$ out of those $$37$$ integers such that $$\mid x-y \mid \in \{9,10,19\}$$.
Approach:
What have I done so far:
Let $$S=$$ {$${1,2,…,112}... | {} |
# Pic16F628 + portexpander I2C
Status
Not open for further replies.
#### kowey
##### New Member
A humble request from a new visitor!
For a couple of days now, I have been trying to connect a PIC16F628 with a port expander (Philips PCF8574) via I2C. Alas, without succes. Hardware looks OK, the port expander works wel... | {} |
# From Julius Victor Carus 28 January 1868
Leipzig
Jan 28th. 1868.
My dear Sir,
As the printing of the 2. Volume goes on, rather slowly just now, I have to ask you again some questions.1
On p. 68. you mention again the egyptian Goose as Tadorna aegyptus Of course it will be Anser.2 It didn’t strike me as some ... | {} |
# Tag Info
## Hot answers tagged growth-accounting
3
Let $y=Y/L$ and $k=K/L$ be the per-worker levels of output and capital. Observe that $y=Ak^\alpha$. Steady state is given by: $$k^*=sy^*+(1-\delta)k^*,$$ or $$k^*=sA(k^*)^\alpha+(1-\delta)k^*.$$ Doing the algebra: $$k^*=\left(\frac{sA}{\delta}\right)^{\frac{1}{1-\... | {} |
# Why sodium is the worst reducing agent in group 1?
Analysing the oxidation enthalpies for $\ce{Li}$, $\ce{Na}$ and $\ce{K}$, we have their respective values:
1. $\ce{Li} = \pu{162 kJ/mol}$
2. $\ce{Na} = \pu{202 kJ/mol}$
3. $\ce{K} = \pu{188kJ/mol}$
Sodium has the largest positive oxidation enthalpy, which means th... | {} |
# Mathematics Colloquium
## Limiting absorption principle and virtual levels of operators in Banach spaces
### When
November 12, 2021 | 3:30 - 4:30 p.m.
### Where
University Hall 1005
Andrew Comech
### Abstract
Virtual levels, also known as threshold resonances, admit several equivalent characterizations:
1. t... | {} |
# rstudio::conf 2020 Review: Part 2
All talks can be found here: https://resources.rstudio.com/rstudio-conf-2020. I’ve picked 30 talks in total, so will split them into 3 parts with 10 talks each.
Part 1 is here
Part 3 is here
Short and to the point overview of current lay of the land when it comes to TensorFlow bi... | {} |
# In Hoffmann bromamide degradation reaction, find the number of moles of $NaOH$ and $B{r_2}$ used to produce one mole of amine.A) Four moles of $NaOH$ and two moles of $B{r_2}$ B) Two moles of $NaOH$ and two moles of $B{r_2}$ C) Four moles of $NaOH$ and one moles of $B{r_2}$ D) One moles of $NaOH$ and one moles of $B{... | {} |
# Largest eigenvalues of sparse inhomogeneous Erd\H{o}s-R\'enyi graphs
Abstract : We consider inhomogeneous Erd\H{o}s-R\'enyi graphs. We suppose that the maximal mean degree $d$ satisfies $d \ll \log n$. We characterize the asymptotic behavior of the $n^{1 - o(1)}$ largest eigenvalues of the adjacency matrix and its c... | {} |
# Surface¶
This module contains classes describing different surfaces.
A surface is required by both the radiation and the convective models used inside the RCE simulations, and if you don’t set it up default will be a SlabOcean.
Example
Create a surface model, e.g. SlabOcean, and use it in an RCE simulation:
>>> ... | {} |
# Solids of revolutions and their volumes?
I am currently self-teaching myself some calculus stuff and I am a bit confused about all these methods to find the volumes given a function rotated along the $y$- or $x$-axis? So far I have come across so many videos with different method names which is what confuses me.
Is... | {} |
Reason for particle decay
1. Jan 30, 2013
why is that particles such as the tau muon have a short lifespan and why is it that particles decay into other partcles? furthermore, what are the process that occur in particle decay?
2. Jan 30, 2013
Staff: Mentor
Physics cannot explain "why" - it can just describe the ob... | {} |
# Spivak Chapter 2, problems 27 (and 28)
To be honest, I have no idea how to even start this problem. I'm sorry I don't have any work to show, but I'm just at a blank. Help?
Chapter 2: Problem 27:
"University B, once boasted 17 tenured professors of mathematics. Tradition prescribed that at their weekly luncheon mee... | {} |
# [OS X TeX] Float Placement
George LGhio gghi at bordernet.com.au
Sat May 17 08:30:04 CEST 2008
Perhaps I should have pointed out that I use:
\begin{figure}[htbp]
\centering
\includegraphics[width=120mm,height=90mm]{Staff52.jpg}
\caption{Staff 1952 \tiny{Goulburnia}}
\end{figure}\\
George
On 17 May 2008, at 12:5... | {} |
GUTS & Inflation
1. Aug 19, 2009
Jim
Can someone please clarify if the energy scales of Inflation & GUTs are identical,
or model-dependent ? One typically sees ~10^15 Gev to 2x10^16 Gev in the literature,
which is a small variance, but its not clear if there are `standard values'.
I am also curious if one can have ... | {} |
# Kinetic energy subgrid-scale model
(Difference between revisions)
Revision as of 23:27, 18 September 2005 (view source)Zxaar (Talk | contribs)← Older edit Revision as of 23:43, 18 September 2005 (view source)Zxaar (Talk | contribs) Newer edit → Line 1: Line 1: - $k_{\rm sgs} = \frac{1}{2}\left(\overline{u_k^2} - \o... | {} |
# Modeling Polynomials
For the Algebra tiles red are positive and everything else are negative.
$(x-1)^2$
$x^2-2x+1$
$(x+1)^2$
$x^2+2x+1$
$(x-1)(x+1)$
$x^2-1$
The fourth question can not be represent by algebra tiles but by the rules I can fond out the simplist form of the equation.
$(x-1)^3$
$x^3-3x-1$
## O... | {} |
# American Institute of Mathematical Sciences
July 1998, 4(3): 431-444. doi: 10.3934/dcds.1998.4.431
## On the initial boundary value problem for the damped Boussinesq equation
Received March 1996 Revised April 1997 Published April 1998
The first initial-boundary value problem for the damped Boussinesq equation... | {} |
# 2.5.2: Conversion between Degrees and Radians
Most people are familiar with measuring angles in degrees. It is easy to picture angles like $$30^{\circ}$$, $$45^{\circ}$$ or $$90^{\circ}$$ and the fact that $$360^{\circ}$$ makes up an entire circle. Over 2000 years ago the Babylonians used a base 60 number system an... | {} |
# Book IV, Prosa 5
Providence rules Fortune
Page 125
'That is true,' I said; 'but it is your kind office to unravel the causes
of hidden matters, and explain reasons now veiled in darkness; wherefore I
beg of you, put forth your decree and expound all to me, since this wonder
most deeply stirs my mind.'
Then said s... | {} |
# Can I break a random number into two smaller vectors and consider them as two random numbers?
I have a cryptographically secured RNG that uses a recommended block cipher to generate the random number. As its output, I receive the random number which is very large, but the application requires the usage of two random... | {} |
time limit per test
5 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
After long-term research and lots of experiments leading Megapolian automobile manufacturer «AutoVoz» released a brand new car model named «Lada Malina». One of the most impressive features of «Lada Malina» is... | {} |
# An Elementary Way to Calculate the Gaussian Integral
## Fred Akalin
### January 06, 2011
While reading Timothy Gowers's blog I stumbled on Scott Carnahan's comment describing an elegant calculation of the Gaussian integral $\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}\text{.}$ I was so struck by its element... | {} |
Dear Uncle Colin,
Why is dividing by a half the same as doubling?
- How Arithmetic Leverages Fractions
Hi, HALF, and thanks for your message!
I’m going to give a couple of reasons: first, the algebra of it, then the logic.
## Algebra
Let’s set this up as $\frac{x}{\br{\frac{1}{2}}} = y$ - you’re asking why $y=2x$... | {} |
## Converting a function with single parameter to a function with multiple parameters
I have been solving some algorithm questions recently and a pattern I have observed in some problems is as follows:
Given a string or a list, do an aggregation operation on each of its elements. Here in each of these elements we app... | {} |
# Recent questions tagged cl37072
Questions from:
### Find the equations of the hyperbola satisfying the given conditions: Vertices: $(0,\pm 3)$, Foci: $(0,\pm 5)$
To see more, click for the full list of questions or popular tags. | {} |
Tag Info
Is this a 18-electron aromatic system? No, because as the OP says in the question, the rings are not in a single plane. Is this compound considered aromatic? Yes, because it has three aromatic rings, as the OP stated. They all have 6 delocalized electrons, so they conform to the $4n + 2$ rule. "What if" all c... | {} |
# Maximum number of digits in numbers between 0 to $n^2-1$ of base n
The number of digits in numbers between 0 and $n^2-1$ of base n is obtained by
$\log_n(n^2) = 2\log_nn = 2$
But why log is being used? I mean how doing log gives correct answer always?
• $\log_{10}(10^2) = 2$ but $100$ has 3 digits. Add 1. – jkabr... | {} |
# singlespacing in table with no indent
I'm trying to make a table that is as wide as the textwidth singlespaced with etoolbox's \AtBeginEnvironment but that somehow gets rid of the \noindent that I issued before.
\documentclass{report}
\usepackage{array,setspace,booktabs,tabularx,etoolbox}
\AtBeginEnvironment{tabula... | {} |
# Foolproof, and Other Mathematical Meditations
###### Brian Hayes
Publisher:
MIT Press
Publication Date:
2017
Number of Pages:
234
Format:
Hardcover
Price:
24.95
ISBN:
9780262036863
Category:
General
BLL Rating:
The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for... | {} |
# Interface with touch screen using arduino
Basically I am trying to stimulate a touch screen with an arduino board. I know this has been asked several times and Ive spent a long time looking at solutions, namely some kind of foil stuck to a touch screen being pulled to phones ground, or USB shield, or arduino earth, ... | {} |
# Math Help - Prove that the square root of a non-square number is irrational
1. ## Prove that the square root of a non-square number is irrational
Prove: If integer N>1 is not a perfect square, then sqrt(N) is irrational.
2. ## Irrational numbers
Hello o&apartyrock
Originally Posted by o&apartyrock
Prove: If integ... | {} |
# What is Event Horizon of a Black Hole? [closed]
The boundary of a black hole is said to be surrounded by event horizon - the point of no return! What is its significance in terms of general relativity?
• The question "What is its significance in terms of general relativity?" is both too broad and out of scope for t... | {} |
# The work function and mutual forces between particles
#### dRic2
Gold Member
Problem Statement
Let us assume that the work function of an assembly of free particles, subject to mutual forces between these particles, depends only on the relative coordinates
$$\xi_{ik} = x_i - x_k$$
$$\eta_{ik} = y_i - y_k$$
$$\zeta_... | {} |
# How to prove a two variable set is convex
$X=\{(x,y)\in R^2\ :\ 3\le 2x+3y\le 8\}$
i tried to solve it as:
Let set $X$ is convex for $x_2,y_2\in X$ such that $\alpha x_1+(1-\alpha)x_2$,$\alpha y_1+(1-\alpha)y_2\in X$
Now, $3\le 2x+3y\le 8$ $2{\alpha x_1+(1-\alpha)x_2}+{3{\alpha y_1+(1-\alpha)y_2}}$ implies ${2\al... | {} |
• We measure the energy emitted by extensive air showers in the form of radio emission in the frequency range from 30 to 80 MHz. Exploiting the accurate energy scale of the Pierre Auger Observatory, we obtain a radiation energy of 15.8 \pm 0.7 (stat) \pm 6.7 (sys) MeV for cosmic rays with an energy of 1 EeV arriving pe... | {} |
This vignette is based on data collected for the 538 story entitled “Projecting The Top 50 Players In The 2015 NBA Draft Class” by Neil Paine and Zach Bradshaw available here.
First, we load the required packages to reproduce analysis.
library(fivethirtyeight)
library(ggplot2)
library(dplyr)
library(ggthemes)
library... | {} |
Technical Article
# Transimpedance Amplifier Stability
May 29, 2019 by Dr. Sergio Franco
## Learn about how to stabilize transimpedance amplifiers or TIAs with useful examples.
Learn about transimpedance amplifier stability with practical methods and useful examples.
This article covers transimpedance amplifiers a... | {} |
Free Version
Difficult
Find a Segment of the Opposite Side Divided by Angle Bisector
GEOM-JNVMIN
$$\text {Given: }NE=12, NT=16, ET=28$$
$$\text {Find the value of ES.}$$
A
$7$
B
$12$
C
$16$
D
$21$ | {} |
# Text A text is used to style some inline text with a simple color
## Definition
#### Text
A text is always used inline and uses one color from the FUI color palette
To not interfere with all other colorable elements the text element is limited to be used in span tags only
This is red inline text and this is blue ... | {} |
How do I find the complex conjugate of 12/(5i)?
Aug 12, 2015
The conjugate is $\frac{12 i}{5}$
Explanation:
To find a conjugate of a complex number we first have to convert it to a form $a + b i$. To do this here we can multiply both numerator and denominator by $i$
$z = \frac{12}{5 i} = \frac{12 i}{5 {i}^{2}} = \... | {} |
## Thinking Mathematically (6th Edition)
$6840$ ways
A permutation from a group of items occurs when no item is used more than once and the order of arrangement makes a difference. The number of permutations possible if $r$ items are taken from $n$ items is ${}_{n}P_{r}=\displaystyle \frac{n!}{(n-r)!}$. --------------... | {} |
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