content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Fibonacci Numbers - proof.
November 25th 2007, 08:38 AM
WWTL@WHL
Fibonacci Numbers - proof.
Afternoon guys :) I'm considering 2 ways of approaching this question. One is significantly easier than the other, but I wanted to know if it is a valid method - or rigorous and formal enough for
a proof. Thanks.
... | 5 | [
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0.05078125,
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0.0546875,
0.000865936279296875,
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0.08251953125,
-0.0162353515625,
0.00555419921875,
-0.007720947265625,
-0.031982421875,
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0.0181884765625,
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-0.045654296875,
-0.016967... | 44,100 | 44100 | |
Daniel's Software Blog
Background
Cyclic Redundancy Check is a commonly used method for performing integrity checks on data. It is a simple hash function that provides assurance that data is not corrupted and is widely used in data
communication and data storage applications.
CRC is not suitable for protecting agains... | 4 | [
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0.0281982421... | 44,101 | 44101 | |
Coefficient of friction, modulus of elasticity problem?
June 16th 2009, 01:01 PM #1
Coefficient of friction, modulus of elasticity problem?
Two small rings, each of weight $W$, slide one upon each of two rods in a vertical plane, each inclined at an angle $\alpha$ to the vertical; the rings are connected by a fin... | 5 | [
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0.060302734375,
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0.07470703125,
-0.043212... | 44,102 | 44102 | |
Alternating Monopoly and Tacit Collusion
Andrea Amelio∗and Sara Biancini†
Preliminary version
May 14, 2005
Abstract
In this paper... | 4 | [
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[SOLVED] Double check my work?
February 15th 2010, 05:20 PM
yzobel
[SOLVED] Double check my work?
Determine the integral from 0 to 1 of 3/(sqrt(4-x^2)) dx
Here's what I did:
3/ sqrt(4(1-(x^2)/4))
(3/2)(1/(sqrt(1-(x/2)^2))
3/2 0 to 1 1/(sqrt(1-u^2)) where u=x/2
3/2 (sin^-1(x))] 0 to 1
(3... | 5 | [
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-0.... | 44,104 | 44104 | |
outline the following two amounts
December 8th 2012, 03:12 AM #1
Senior Member
outline the following two amounts
Re: outline the following two amounts
You do know that you posted it upside down, don't you? It's also in Swedish which I, at least, cannot read. Surely, it wouldn't have been that hard to just type ... | 4 | [
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-0.016357421875,
-0.076171875... | 44,105 | 44105 | |
Maximize and Minimize Area
May 21st 2008, 01:50 AM #1
Junior Member
Joined
May 2008
Posts
33
Maximize and Minimize Area
Please help!!! I should know how to do this but it's just not happening for me.
If you have 12 meters of wire that has to be cut into 2 pieces. 1 piece is to be bent into the shape... | 5 | [
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0... | 44,106 | 44106 | |
replete subcategory
Context
Category theory
Concepts
Universal constructions
Theorems
Extensions
Applications
Notions of subcategory
Higher category theory
Basic concepts
Basic theorems
Applications
Models
Morphisms
Functors
Universal constructions
Extra properties and structure
1-categorical presentat... | 4 | [
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0.092... | 44,107 | 44107 | |
How to Calculate Compound Interest
Today,
calculators
will do the computational work for you, however, here's a breakdown of how to calculate compound interest:
Compound interest is interest that is paid on both the principal and also on any interest from past years. It s often used when someone reinvests any intere... | 4 | [
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0.05126953... | 44,108 | 44108 | |
Volume 9,
Volume 9, Issue 2, February 1968
•
View Description Hide Description
We establish the relationship between the Diracalgebra and the six‐dimensional Lorentz group. By considering in an appropriate way the fifteen excentrical basis elements of the Diracalgebra as
the components of an antisymme... | 4 | [
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Intersection of open sublocale of a compact regular locale ?
up vote 1 down vote favorite
1
Hello !
It's well know that any sublocale of regular locale is the intersection of a familly of open sublocale. Hence if $X$ is a regular locale, the map which to a sublocal $Y \subset X$ associate $ \lbrace
o \in \mathcal{O}(... | 4 | [
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The Adventurous Snail: Second Part of the Proof
SOLUTIONS
denominator and then cancel that denominator, you have the
required answer in integers !
Every reader should know that if we take any two numbers, m
and n, then m
2
+ n
2
, m
2
- n
2
, and 2 mn will be the three sides of a
rational right-angled tria... | 4 | [
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question #4272
engineering question #4272
Ali, a 25 year old male from Pakistan asks on May 27, 2008,
Q:
In microwave transmission sometimes we use power in positive e.g +13db and sometimes in negative like -13 db. What is the difference? How can we choose the right power? Please inform.
viewed 13104 times
... | 4 | [
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Applications of Derivatives
June 5th 2011, 01:42 PM
purplec16
Applications of Derivatives
Ok I have to identify the extram i.e.the maximum and minimum points of this function and...i'm kinda confused $f(x)=x(\sqrt{4-{x}^{2 } } )$
$f'(x)=\frac{4-2{x}^{2 } }{\sqrt{4-{x}^{2 } } }$
Thats what i got for my ... | 4 | [
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The ormat game
Here’s the deal. I’m going to give you a square grid, with some of the cells colored and others possibly left blank. We’ll call this a template. Perhaps the grid will be one of these 3×3 templates:
You have a supply of transparent plastic overlays that match the grid in size and shape and that also bea... | 4 | [
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0.0625,
-0.... | 44,114 | 44114 | |
Reaction-Diffusion by the Gray-Scott Model: Pearson's Parameterization
Reaction-Diffusion by the Gray-Scott Model: Pearson's Parameterization
Introduction
Instructions: A click anywhere in the crescent-shaped complex region will take you to a page with images, a movie and a specific description. Each grid square lea... | 4 | [
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Proof (countable)
Prove that the set which contains all FINITE subsets of N (natural numbers) is a countable set.
There are many different proofs of this theorem. Each depends upon what you have to work with. If you know that there is a one-to-one correspondence between the prime integers and the positive
integers. Su... | 5 | [
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Double integral
For the inner integral, substitute $u=xy,$ $\int_0^1 {\int_0^1 {\frac{{dx\,dy}}<br /> {{\Big[ { - \ln (xy)} \Big]^{3/2} }}} } = \int_0^1 {\int_0^y {\frac{{du\,dy}}<br /> {{y\left( { - \ln u} \right)^
{3/2} }}} } = \int_0^1 {\int_u^1 {\frac{{dy\,du}}<br /> {{y\left( { - \ln u} \right)^{3/2} }}} } .$ So $... | 5 | [
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related rates help!!!
At noon, ship A is 125 km east of ship B. Ship A is sailing west at 35
Hello, singh! At noon, ship A is 125 km east of ship B. Ship A is sailing west at 35 km/hr, and ship B is sailing north at 35 km/hr. How fast is the distance between the ships changing at 2:00 P.M.?
I hope you made a sketch . ... | 4 | [
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-0.00010395050048828... | 44,118 | 44118 | |
Quantum Computation Problem
November 16th 2012, 06:13 AM #1
Member
Joined
Sep 2008
Posts
95
Quantum Computation Problem
I'm stuck on the following problem:
Suppose we are given a qubit |q> in an unknown state, but we know it is either |0> or
1/sqrt(2)(|0> + |1>). We would like to devise a circui... | 5 | [
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Improper integral of a high power of log
I feel like I’ve developed something new in evaluating this integral. Previously, when confronted with an integral of log to the n times a function, I considered the integral of log to the n+1 times
the function over a keyhole contour. This gave me the original integral, but al... | 5 | [
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infinity-connected (infinity,1)-site
Context
$(\infty,1)$-Topos Theory
Background
Definitions
Characterization
Morphisms
Extra stuff, structure and property
Models
Constructions
structures in a cohesive (∞,1)-topos
Contents
Idea
A site being locally and globally $\infty$-connected means that it satisfies su... | 4 | [
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0.0595703125... | 44,121 | 44121 | |
Maximizing a volume
July 8th 2009, 01:01 PM
arbolis
Maximizing a volume
I find the following problem very hard!
A rectangular box has 3 faces in the planes given by $x=0$, $z=0$ and $y=0$. The vertex that is not in the latter planes is in the plane $4x+3y+z=36$. Determine the dimensions that maximizes the
... | 5 | [
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0.0108... | 44,122 | 44122 | |
Find the area of the largest rectangle that can be inscribe in a right triangle with legs of length 3cm and 4cm, if... - Homework Help - eNotes.com
Find the area of the largest rectangle that can be inscribe in a right triangle with legs of length 3cm and 4cm, if the two sides of the rectangle lie along the legs.
You ... | 5 | [
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0.041... | 44,123 | 44123 | |
Commutative and Associative Properties
The commutative property states that the order in which you add or multiply numbers does not change their sum or product.
For Example:
3 + 5 = 5 + 3
a + b = b + a
6 · 5 = 5 · 6
ab = ba
The associative property says the when adding or multiplying 3 or more numbers or expression... | 4 | [
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0.1... | 44,124 | 44124 | |
Inscribing a Square in a Triangle
Date: 10/13/2000 at 01:15:32
From: Alexandra
Subject: Geometry - Triangle
How can you inscribe a square in a scalene triangle? I have no idea
how to start.
Date: 10/13/2000 at 11:13:20
From: Doctor Rob
Subject: Re: Geometry - Triangle
Thanks for writing to Ask Dr. Math, Alexandra... | 5 | [
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0.00576782226562... | 44,125 | 44125 | |
Descending the level ladder
The following is a way to compute 2+1 using the GHC type system. The ":kind!" command tells GHCi to display normalized version of a type.
{-# LANGUAGE TypeFamilies #-}
data Zero
data Succ a
type family Add x y
type instance Add Zero x = x
type instance Add (Succ x) y = Succ (Add x y)
*Mai... | 5 | [
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-0.008361... | 44,126 | 44126 | |
Tutorial on Discrete Probability Distributions
Let X be a random variable that takes the numerical values X1, X2, ..., Xn with probablities p(X1), p(X2), ..., p(Xn) respectively. A discrete probability distribution consists of the values of the
random variable X and their corresponding probabilities P(X).
The probabil... | 4 | [
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0.015625,
-0.0495605... | 44,127 | 44127 | |
twisted complex
nLab
twisted complex
Context
Homological algebra
Contents
Definition
Let $C$ be a differential graded category.
A twisted complex $E$ in $C$ is
• a graded set $\{E_i\}_{i \in \mathbb{Z}}$ of objects of $C$, such that only finitely many $E_i$ are not the zero object;
• a set of morphisms $\{q... | 4 | [
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0.03125,
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Absolute GPS to better than one meter 3
3. Specific Corrections
Ionosphere (2-frequency model)
The ionosphere correction is often only a few meters. But in extreme cases near solar maximum, it might reach 50 meters in the zenith, or three times that near the horizon. It is generally five times
larger during the day t... | 4 | [
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... | 44,129 | 44129 | |
Euler Totient
Let $n=p_1^{\alpha_1}\hdots p_k^{\alpha_k}$ Then $\frac{n}{\phi(n)} = \left(\frac{p_1}{p_1-1}\right)\hdots \left(\frac{p_k}{p_k-1}\right) = \left(1+\frac{1}{p_1-1}\right)\hdots \left(1+\frac{1}
{p_k-1}\right) = \sum_{d|n} \frac{\mu^2(d)}{\phi(d)}$ as you can see by expanding the product into a sum of $2^k... | 4 | [
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0... | 44,130 | 44130 | |
negative feedback
Please visit VK2TIP's Book Shelf. My personal recommendations, thanks.
LAST MODIFIED:
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NEGATIVE FEEDBACK
YOU ARE HERE: HOME > AMPLIFIERS > NEGATIVE FEEDBACK
Authored by Ian C. Purdie VK2TIP
What is negative feedback?
Negative feedback is often referred to as shunt... | 5 | [
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0.09375,
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convolution algebra
Context
Algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Idea
There are many related constructions of algebras, topological algebras and so on which bear the name of a convolution algebra.
T... | 4 | [
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0.0092... | 44,132 | 44132 | |
Scaling and positioning in RES
RES home
Scaling and positioning in RES
Introduction
Here we sketch the scaling and positioning algorithms that are assumed for RES. These algorithms may differ somewhat from those that have been developed by others for MdC, but this is difficult to
determine precisely, since no such a... | 4 | [
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Tutorials
Logistic Regression
Using SPSS
... | 5 | [
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Tricky Word Prob Decreasing Sphere
October 19th 2009, 01:08 AM #1
Junior Member
Joined
Oct 2009
Posts
28
Tricky Word Prob Decreasing Sphere
A sphere is losing volume at 6cm^3/minute
How fast is the radius of the sphere decreasing when the surface are of the sphere is 24cm^2?
"The volume of a sp... | 4 | [
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Resonance
Question 1:
The Q factor of a series inductive circuit is given by the following equation:
Likewise, we know that inductive reactance may be found by the following equation:
We also know that the resonant frequency of a series LC circuit is given by this equation:
Through algebraic substitution, write an... | 5 | [
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0.0615... | 44,136 | 44136 | |
The Cosmological Constant - Sean M. Carroll
2.3 Surveying the universe
The lookback time from the present day to an object at redshift z[*] is given by
(36)
with H(a) given by (30). The age of the universe is obtained by taking the z[*] -> t[*] -> 0) limit. For [M] = 1, this yields the familiar answer t[0] = (2/3) H... | 4 | [
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Analysis of Algorithms, 91(1)
UML CS 91.503 Midterm Exam Fall, 2008
MIDTERM EXAM SOLUTIONS
Stats: to be determined later (with ?? points added)
- Minimum:
-... | 5 | [
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Title page for ETD etd-07072010-020153
The objectives of this research were to present an original formulation of a significant facilities location problem, the traveling salesman location problem, and to develop several heuristic
solution procedures for determining minimum distance locations. Despite the wide ... | 4 | [
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CS 4521 Assignment 3
Assignment 3 -- due Monday, September 28 at the beginning of lab
CS 4521 Fall Semester, 2009
... | 4 | [
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PAPER 4
1. (a) Explain the following and illustrate it with an example each.
(i) Increment and decrement operator
(ii) Conditional operator
(iii) Bitwise operator
(iv) Assignment operator
... | 5 | [
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Simple geormetry/congruence help
May 30th 2012, 03:56 AM #1
Junior Member
Joined
Feb 2009
Posts
31
Simple geormetry/congruence help
ABCD is a quadrilateral with AB horizontal and CD vertical. Angle BAD = angle BCD = 40 degrees and AB=BC=5. Show that angle CDB = angle ADB = 25 degrees.
Here is a diag... | 4 | [
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OPTIMAL USER PAIRING FOR MULTIUSER MIMO
Patent application title: OPTIMAL USER PAIRING FOR MULTIUSER MIMO
Sign up to receive free email alerts when patent applications with chosen keywords are published SIGN UP
Abstract:
A method includes
operating ... | 4 | [
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Why free topological groups on Tychonoff spaces?
up vote 7 down vote favorite
3
This is a question of the motivation for a common assumption found in the literature.
The free topological group $F(X)$ on a space $X$ exists for all spaces $X$ (It seems this was first shown by Katutani and Samuel). I mean "free topologi... | 4 | [
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The California Mathematics Content Standards
This discipline is a technical and in-depth extension of probability and statistics. In
particular, mastery of academic content for advanced placement gives students the
background to succeed in the Advanced Placement examination in the subject.
┌─────────────────────┬─────... | 4 | [
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show that (1+x)^p <= 1+x^p
April 24th 2010, 07:38 PM #1
Member
Joined
Feb 2010
Posts
146
show that (1+x)^p <= 1+x^p
Let p be a fixed real number satisfying 0<p<=1 show that (1+x) $^p$<= 1+x $x^p$ for all x >=0 . You may assume that the derivative of $x^p$ is px^(p-1) if x>0.
It is equivalent to show... | 4 | [
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Representation of symmetric groups
November 24th 2012, 06:26 AM #1
Junior Member
Joined
Oct 2010
Posts
27
Representation of symmetric groups
Hi, just working my way through the beginnings of some material for a group representations course I'll be taking next semester. The notes give an example of a repr... | 5 | [
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0.0290527343... | 44,147 | 44147 | |
The Mystery and Magic of Prefix Scan
June 07, 2012
Prefix Scan might be considered an elemental parallel computation. This operation computes all partial sums of a vector of values resulting in a vector, the same size as the original vector, where
each element is the sum of the preceding elements in the original vect... | 4 | [
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0.002716064453125... | 44,148 | 44148 | |
Radius of random walk on Z
up vote 0 down vote favorite
1
I'm trying to find a set of uniform measure 1/2 over $ \{ -1,1 \} ^n \times \{-1,1\}^n$ such that the inner product of $(x,y)\in\{ -1,1 \} ^n \times \{-1,1\}^n$ will hold $|\langle x,y\rangle|< \frac
{\sqrt(n)}{c}$ for some constant $c$.
I believe that a bette... | 5 | [
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-... | 44,149 | 44149 | |
Please help me with interseciton of planes
11-21-2002 #1
Shadow12345
Guest
Please help me with interseciton of planes
Does anyone here know how to find the intersection of two planes? I am trying to read a file and the coordinates are derived from the intersection of two triangles that represent a plane.
i.e... | 5 | [
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... | 44,150 | 44150 | |
Advancing the Digital Camera Pipeline for Mobile Multimedia
ADVANCING THE DIGITAL CAMERA PIPELINE FOR MOBILE MULTIMEDIA: KEY
CHALLENGES FROM A SIGNAL PROCESSING PERSPECTIVE
Keigo Hirakawa and Patrick J. Wolfe
... | 4 | [
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0.... | 44,151 | 44151 | |
solving an equation
December 4th 2011, 11:34 PM
juicysharpie
solving an equation
Hi,
I need some help solving an equation for y=17-x-(π/2)x. I solved for x earlier in the problem and got x=34/(π+4). I got as far as to y=17-(34/(π+4))-(π/2)(34/(π+4)) in solving the equation, but
I'm not sure what to do n... | 4 | [
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0.08837890625... | 44,152 | 44152 | |
Comparing Quantities
Exercise 3
1. Calculate the amount and compound interest on
(a) Rs 10,800 for 3 years at 12.5% per annum compounded annually.
(b) Rs 18,000 for 2.5 years at 10% per annum compounded annually.
(c) Rs 62,500 for 1.5 years at 8% per annum compounded half yearly.
(d) Rs 8,000 for 1 year at 9% ... | 4 | [
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-... | 44,153 | 44153 | |
Math Forum Discussions
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Topic: Euclidean problem
Replies: 1 Last Post: Mar 31, 20... | 4 | [
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0.08837890625,
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0.037109375,
0.00095367431640625,
-0.03112792968... | 44,154 | 44154 | |
What's the maximum determinant of the (0, 1) matrix from M(n, R)?
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
If there's no exact formula what's the nearest upper and lower bounds do you know?
Related question rai... | 4 | [
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-0.007476806640625,
-0.03759765625,
0.057373046875,
0.1005859375,
-0.079... | 44,155 | 44155 | |
Math Forum Discussions
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Discussions
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: InterpolatingFunction
Replies: 1 Last Post: Oct 14... | 5 | [
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-0.032958984375,
0.0419921875,
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0.006683349609375,
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0.0947265625,
-0.08056640625,
0.000915527... | 44,156 | 44156 | |
Polar coordinates.
April 28th 2009, 09:54 AM
Showcase_22
Polar coordinates.
Quote:
Let C be the curve in the plane defined by $r=\sin \theta, 0 \leq \theta \leq 2 \pi$.
Quote:
a). Draw a sketch of C.
My sketch looks like a figure of 8.
Quote:
b). Find the co-ordinates of the four p... | 5 | [
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More on the movie Up! (or Upper)
So, analysis of the movie Up is pretty popular in the blogosphere. Figure I might as well surf the popularity wave. So, I have a couple more questions.
The most important thing to estimate is the mass of the house. I am going to completely ignore the buoyancy of the house. I figure thi... | 4 | [
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ScribbleWiki: Analysis of Social Media
Richardson & Domingos, KDD 2002
From ScribbleWiki: Analysis of Social Media
Mining Knowledge-Sharing Sites for Viral Marketing
Authors: Matthew Richardson and Pedro Domingos
Review -by Shilpa Arora
Note: I have added the mathematic formulation to the textual description for ... | 4 | [
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Measures of Variation
Statistical measures of variation are numerical values that indicate the variability inherent in a set of data measurements. The most common measures of variation are the range, variance and standard
distribution.
Range
The range of a set of observations is the absolute value of the difference ... | 4 | [
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Altitude Equation Derivation
Flying model rockets is a relatively safe and inexpensive way for students to learn the basics of forces and the response of vehicles to external forces. Students can also use math techniques learned
in high school to determine the performance of the rocket during the flight.
On this page ... | 4 | [
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Determine the speed of an object moving along the path described by x=3-2t^2 y=t^2 when t=1/2 - Homework Help - eNotes.com
Determine the speed of an object moving along the path described by x=3-2t^2 y=t^2 when t=1/2
You need to remember that the speed is a scalar quantity and velocity is a vector quantitym, hence you... | 5 | [
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Why all these Stresses and Strains? | COMSOL Blog
Why All These Stresses and Strains?
In structural mechanics you will come across a plethora of stress and strain definitions. It may be a Second Piola-Kirchhoff Stress or a Logarithmic Strain. In this blog post we will investigate
these quantities, discuss why there is... | 4 | [
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Make a compound curve template
[Note: This entry was actually written in April 2013. I changed the posting date to keep my blog entries in chronological order]
By George Taniwaki
This blog post describes how to calculate the compound curves and build the templates used in the breakfast bar project described in a sepa... | 5 | [
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Low-Pass Fitler Implementation: Filter Specification
Figure 1
Depiction of the filter specifications.
Table 1: Filter specifications
f p f p 0.1
f s f s 0.12
δ p δ p 0.5 dB
δ s δ s -60 dB
Δ τ g Δ τ g ∀ f ,|f|≤ f p :|Δ τ g |≤9 f f f p Δ τ g 9
Please refer to Pictoralial... | 4 | [
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us
Gauss’ Law
Objectives
In this chapter we will learn:
What is Flux.
How to calculate electric flux.
Gauss’s Law.
Relation between Gauss’ Law and Coulomb’s Law
How to apply Gauss’ Law to compute Electric field or charge.
What is a flux?
The word “flux” comes from the Latin word meaning “to flow”.
Rate of flo... | 5 | [
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A polynomial recurrence involving partial derivatives
up vote 12 down vote favorite
6
Define recursively polynomials $f_n(a,b)$ by $$ f_0(a,b)=1,\ \ f_n(0,b)=0\ \mathrm{for}\ n>0 $$ $$ \frac{\partial}{\partial a}f_n(a,b) = f_{n-1}(b-a,1-a). $$ For instance, $$ f_1(a,b) = a,\ \ f_2
(a,b) = \frac 12(2ab-a^2) $$ $$ f_3(a... | 4 | [
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why equation, wrong
January 15th 2011, 12:25 PM #1
Junior Member
Joined
Dec 2010
Posts
52
why equation, wrong
4 sin^2(x) + 8 cos(x) = 7
1 = cosē(x)+sinēx
sinē(x) = 1-cosē(x)
we use this and replace sinē(x) with 1-cosē(x)
4(1-cosē(x))+8cos(x) = 4-4cosē(x)+8cos(x)
-4cosē(x)+8cos(x)+... | 4 | [
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Make magnetic card readers more reliable in noisy environments
Here's a less time-consuming way to maintain magnetic card reader and card reliability in a variety of noisy electronic environments.
Plastic magnetic swipe cards are the principal means of establishing personal identity, processing financial transaction... | 4 | [
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help me with new learned topic (permutation & combination)
July 12th 2009, 02:16 AM #1
Junior Member
Joined
Jun 2009
Posts
35
help me with new learned topic (permutation & combination)
1. The drama club is staging a play. With 6 men and 8 women auditioning for the leading male and female roles, how many ... | 4 | [
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Calculate Gains
You will choose three values of gain for this controller to demonstrate different response types, overdamped, critically damped, and underdamped. You will choose the gains to meet settling time and/
or percent o... | 4 | [
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question
January 8th 2007, 10:16 AM
jimmybob
question
In a right angled triangle ABC Sin A = 5/13
calculate without finding the angel A the following
a) Cos A
b) Tan A
January 8th 2007, 10:23 AM
ThePerfectHacker
That means the opposite side is 5 and hypotenuse is 13 because sine is opposite... | 4 | [
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Tackling Andrica's conjecture. Part 2
With
the previous post
, I stopped at the argument that $f_{4}(x)=\pi (x) - \sqrt{x}$ seems to be ascending for prime arguments. Apparently, this is a necessary and sufficient condition, i.e.:
Lemma 1. Andrica's conjecture is true iff function $f_{4}(x)=\pi (x) - \sqrt{x}$ is st... | 4 | [
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please convert 50,000 btu to kilowatts
Questions
>
Science
Asked by gaines - 3 years ago
All Answers
tbrucenyc Level 32 / Recording Engineer retired
2
Answered 3 years ago ... | 4 | [
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Error-Recovery Codes
The need for reliable, high-speed transmission of video, audio, and data applications has never been greater. One of the keys to reliable communications is error recovery--and
Bose-Chaudhuri-Hocquenghem (BCH) and Reed-Solomon (RS) codes are two powerful approaches to error-control coding. RS, in fa... | 4 | [
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Flatness in Algebraic Geometry vs. Fibration in Topology
up vote 26 down vote favorite
22
I am currently trying to get my head around flatness in algebraic geometry. In particular, I'm trying to relate the notion of flatness in algebraic geometry to the notion of fibration in algebraic
topology, because they do formal... | 4 | [
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Perfect Code
or "Incremental Least Squares"
If you want to find the Least Squares solution to a linear algebra problem (\(\textbf{A} \vec{y} = \vec{b}\)), you probably would use the formula
$$\hat{y} = (\textbf{A}^\intercal \textbf{A})^{-1} \textbf{A}^\intercal \vec{b},$$
where \(\hat{y}\) is the closest possible va... | 4 | [
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Co
You are currently browsing the tag archive for the ‘Coconuts Musume’ tag.
Introduction: Hello! Project’s Central Mystery
For ages, it has defied explanation, piggybacking on one group name after another. It waits, announcing its presence in a subtle yet forceful fashion, catching the eye with its unexpected existe... | 4 | [
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Time Value of Money
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,367
Re: Time Value of Money
Member
Registered: 2013-02-19
Posts: 5
Time Value of Money
1) What is the accumulated value of $150 invested for three years and three months when the rate of interest is 0.5%... | 4 | [
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[SciPy-user] Fitting sphere to 3d data points
David Goldsmith David.L.Goldsmith at noaa.gov
Thu Jan 25 15:33:56 CST 2007
James Vincent wrote:
> Thanks for all the input. I _think_ I've got it. (emphasis added)
Have you tested it w/ points known to lie on a sphere, e.g., (+/-1, 0,
0), (0,+/-1,0), (0,0,+/-1), which sho... | 4 | [
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Greg Buchholz's blog
Submitted by Greg Buchholz on Mon, 12/05/2005 - 12:37pm.
::
Here's a random thought. What if we had a way to search for Haskell functions by type signature. Take the
Hierarchical Libraries
, slice/dice/index the type signatures so that you could search for "Num b => a -> b" and it would presen... | 5 | [
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0... | 44,181 | 44181 | |
Are schemes that "have enough locally frees" necessarily separated
up vote 10 down vote favorite
6
Let me motivate my question a bit.
Thm. Let $X$ be a locally noetherian finite-dimensional regular scheme. If $X$ has enough locally frees, then the natural homomorphism $K^0(X)\longrightarrow K_0(X)$ is an isomorphism.... | 4 | [
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skew-symmetric matrix
skew-symmetric matrix
Definition:
Let $A$ be an square matrix of order $n$ with real entries $(a_{{ij}})$. The matrix $A$ is skew-symmetric if $a_{{ij}}=-a_{{ji}}$ for all $1\leq i\leq n,1\leq j\leq n$.
$A=\begin{pmatrix}a_{{11}}=0&\cdots&a_{{1n}}\\ \vdots&\ddots&\vdots\\ a_{{n1}}&\cdots&a_{{nn... | 4 | [
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0.05834960937... | 44,183 | 44183 | |
er
A better hammer?
Mathematically, the most concise way to define the "Pefrormance Against" algorithm is to set up a square matrix W whose elements are defined by
W[i,j] = wins by team i over team j
and an N by 1 vector V that characte... | 4 | [
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Binary Divisibility by 10
Date: 04/07/99 at 21:28:03
From: Anna
Subject: Binary divisibility by 10
I was wondering how you can tell whether a binary number of arbitrary
size is divisible by 10, without looking at the whole number. The
maximum size of consideration is really important, and within 32 bits
would be rea... | 4 | [
0.0654296875,
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Integrals
January 10th 2009, 04:26 AM #1
Junior Member
Joined
Dec 2008
From
America, Ohio
Posts
32
Integrals
Hi,
Q1. Evaluate the following integrals by suing the given substitution.
a) f [ {e^squareroot(x)}/{2*squareroot(x)} ], u =squareroot(x)
b) f { x*sin(x^2) } dx, substitution u =... | 5 | [
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Help with a basic homogenous ODE
June 11th 2011, 11:22 AM #1
Member
Joined
Aug 2010
Posts
138
Help with a basic homogenous ODE
I'm having a bit of trouble with a homogeneous ODE:
$\frac{dy}{dx} = \frac{x^2 + 3y^2}{2xy}$
In order to solve this by substituting v = y/x, I first need to manipulat... | 5 | [
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PowerPoint Presentation - Institute of Particle _amp; Nuclear Physics
3) Exploring the consequences of finite neutrino mass:
Neutrino magnetic moments, muon decay, beta decay.
Scattered comments on particle physics models and
the possible path to the nSM.
From the neutrino oscill... | 4 | [
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value group of completion
value group of completion
Let $k$ be a field and $|\cdot|$ its non-archimedean valuation of rank one. Then its value group $|k\!\smallsetminus\!\{0\}|$ may be considered to be a subgroup of the multiplicative group of $\
mathbb{R}$. In the completion $K$ of the valued field $k$, the ex... | 4 | [
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... | 44,189 | 44189 | |
Minimizing problem.
December 12th 2012, 09:36 AM #1
Newbie
Joined
Dec 2012
From
Estonia
Posts
1
Minimizing problem.
Well I'll write my problem down.
(0,1,2,5,6,13,1)[1](3,9,12)[-]
In my discrete maths homework I had to find minimal DNF through Karnaugh map and got: -X[1]-X[2 ]v -X[3]X[4] v -... | 4 | [
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0.0... | 44,190 | 44190 | |
solve inverse-cos(x) + inverse-cos(sq. rt. of 15x) = (pi/2)
solve inverse-cos(x) + inverse-cos(sq. rt. of 15x) = (pi/2)
solve inverse-cos(x) + inverse-cos(square root of 15x) = (pi/2). No one was able to solve this problem. Please help!
car.man wrote:solve inverse-cos(x) + inverse-cos(square root of 15x) = (pi... | 4 | [
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nally radial direction
Chapter 17: Temperature and Heat-4/5/10
It is crucial that you clearly distinguish between temperature and heat. Temperature is basically what a
“thermometer reads” in a defined scale (such as the Celsius or the Fahrenheit... | 4 | [
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.
8. THE SCALAR FIELD IN AN EXPANDING UNIVERSE
We shall now write down the basic equations for the radius of the Universe a(t) and the scalar field t). All other fields and particles are neglected. We shall see that this is not just a
simplification; it is also a sound approximation. The equations are
(8.1)
(8.2)
... | 4 | [
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Semisimple algebra
February 14th 2010, 07:33 AM #1
Member
Joined
Oct 2008
Posts
130
Semisimple algebra
Show that an algebra $A$ is semisimple if and only if every $A$-module is completely reducible.
I know that if $A$ is semisimple then every irreducible $A$-module is isomorphic to a submodule of $A... | 5 | [
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Reductions Between NPCs
To Be Continued
NPC is short for NP-complete problems, it is a class of decision problems. A decision problem $$$L$$$ is NP-complete if it is in the set of NP problems and also in the set of NP-hard problems.
An NP problem is NP-complete if all other NP problems can reduced to it. Below is the... | 4 | [
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... | 44,195 | 44195 | |
SEND + MORE = MONEY, Part 1
July 31, 2012
A classic puzzle of recreational mathematics is the cryptarithm, where the solver is given a math problem in words and must systematically substitute digits for the letters of the puzzle to form a
valid calculation. For instance, the famous cryptarithm SEND + MORE = MONEY is ... | 5 | [
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Angle Word Problems Practice Questions
By
LearningExpress Editors
Updated on Oct 3, 2011
To review these concepts, go to Angle Word Problems Study Guide.
Angle Word Problems Practice Questions
Practice 1
Problems
1. The measure of an angle is 31°. This angle is classified as an _____ angle.
2. The sum of the ... | 4 | [
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If you don't understand what's going on here, have a look at We're working with natural numbers, so any number different from 0 must be strictly greater than 0. Each line has an explanation on the
right. <<{foo}>> means <> <> means <> or <> <> means just that Theorem "zero" zero() = 0 Proof zero() = Z {zero} = 0 {Z} QE... | 5 | [
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Ratner's theorems
While working on my recent paper with Ben Green, I was introduced to the beautiful theorems of Marina Ratner on unipotent flows on homogeneous spaces, and their application to questions in number
theory, such as the Oppenheim conjecture (first solved by Margulis, by establishing what can retrospective... | 4 | [
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