content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Quick Review 8-2
Unit 8 - Objective 2 - Integral for Natural Log
This is the missing power, n = -1, not covered by the power rule on worksheet 8-1. Consider the integral as a fraction where the denominator is to the first power and the nu... | 5 | [
-0.07763671875,
0.08056640625,
-0.0233154296875,
0.0074462890625,
0.07958984375,
-0.11279296875,
-0.040771484375,
0.029052734375,
-0.044677734375,
0.022705078125,
0.056640625,
-0.0947265625,
0.006500244140625,
0.01806640625,
-0.017333984375,
-0.037109375,
0.01446533203125,
-0.00062... | 6,300 | 6300 | |
Solving Equations
What is a Solution?
A Solution is a value you can put in place of a variable (such as x) that would make the equation true.
Example:
x - 2 = 4
If we put 6 in place of x w... | 4 | [
-0.0576171875,
-0.0096435546875,
-0.023681640625,
0.027099609375,
0.00543212890625,
-0.0185546875,
0.0228271484375,
-0.046142578125,
-0.01043701171875,
0.0286865234375,
0.032958984375,
-0.048583984375,
0.03955078125,
-0.0208740234375,
0.0390625,
0.02685546875,
-0.11181640625,
-0.01... | 6,301 | 6301 | |
Open-Economy Inflation-Forecast Targeting
Add New Comment
402.29kb
Open-Economy Inflation-Forecast Targeting∗
Kai Leitemo
Monetary Policy Strategy Unit, Research Department
Norges Bank
May 2002
Abstract
This paper extends previous research on simple inflation-forecast targeting by considering
its effect in the open e... | 4 | [
0.0067138671875,
-0.0220947265625,
-0.04052734375,
0.06982421875,
0.107421875,
-0.0247802734375,
-0.0791015625,
0.059326171875,
-0.000675201416015625,
-0.03955078125,
-0.02685546875,
-0.0167236328125,
-0.036376953125,
-0.04931640625,
0.054443359375,
-0.004302978515625,
-0.080078125,
... | 6,302 | 6302 | |
Partial Fraction Expansion Using MATLAB
14.12 Partial Fraction Expansion Using MATLAB
MATLAB provides a function called
residue that performs the partial fraction expansion of a transfer function. Consider a transfer function
In Eq. 14.12-1, the transfer function is represented as a ratio of two polynomials in s. In... | 4 | [
-0.05419921875,
0.054443359375,
-0.0849609375,
-0.026611328125,
0.0732421875,
-0.01025390625,
0.002777099609375,
-0.004913330078125,
0.0169677734375,
-0.05126953125,
0.00750732421875,
0.00457763671875,
0.0135498046875,
0.0164794921875,
0.00335693359375,
-0.0017547607421875,
-0.040527... | 6,303 | 6303 | |
some Easy Questions
November 23rd 2008, 12:28 AM #1
Member
Joined
Oct 2006
Posts
78
some Easy Questions
Hello , Good Morning !
I have couples of Exercices where i struggled to solve them
solve the inequaliti and show the solution sets on the real Line
1. x-3 / 2 >= -4+x / 3
My resoluti... | 4 | [
-0.103515625,
-0.054443359375,
-0.046875,
-0.051025390625,
-0.025146484375,
-0.034912109375,
-0.0296630859375,
0.09326171875,
-0.002349853515625,
-0.039306640625,
0.052978515625,
-0.0380859375,
0.07421875,
0.0098876953125,
0.02587890625,
0.0015106201171875,
-0.00537109375,
-0.11572... | 6,304 | 6304 | |
Meissel-Lehmer method
From Polymath1Wiki
The Meissel-Lehmer method is a combinatorial method for computing π(x) in time/space x^2 / 3 + o(1). It is analysed at LMO???
Define an x^1 / 3-almost prime to be an integer less than x not divisible by any prime less than x^1 / 3; such a number is either a prime, or a produc... | 4 | [
-0.044921875,
-0.039794921875,
-0.0303955078125,
-0.02685546875,
0.03466796875,
-0.0057373046875,
0.03173828125,
0.08935546875,
0.051513671875,
-0.05029296875,
-0.00897216796875,
0.026611328125,
0.08447265625,
-0.031982421875,
0.006317138671875,
-0.0595703125,
0.000339508056640625,
... | 6,305 | 6305 | |
Exploratory Toolkit for Evolutionary and Swarm-Based Optimization
Optimization of parameters or “systems” in general plays an ever-increasing role in mathematics, economics, engineering, and the life sciences. As a result, a wide variety of both traditional
mathematical and nontraditional algorithmic approaches have be... | 4 | [
-0.042724609375,
0.033447265625,
-0.0703125,
-0.0267333984375,
-0.01068115234375,
-0.03369140625,
-0.044921875,
-0.023193359375,
-0.0576171875,
0.031494140625,
0.0032196044921875,
-0.031494140625,
-0.0198974609375,
-0.01007080078125,
-0.054443359375,
0.03955078125,
0.014404296875,
... | 6,306 | 6306 | |
Napier, and the Third Law
There is special providence in the fall of a sparrow.
Shakespeare
By the year 1605 Johannes Kepler, working with the relativistic/inertial view of the solar system suggested by Copernicus, had already discerned two important mathemat... | 4 | [
0.004547119140625,
-0.021728515625,
0.007171630859375,
-0.003509521484375,
0.0390625,
-0.01275634765625,
-0.049560546875,
0.03173828125,
0.107421875,
0.08154296875,
0.0244140625,
0.0166015625,
-0.0289306640625,
-0.010009765625,
0.0146484375,
-0.09521484375,
-0.080078125,
0.05419921... | 6,307 | 6307 | |
i
Tiedrank_(X,dim)
12 Jan 2012 (Updated 14 Jan 2012)
Like MATLAB's tiedrank function, but works along dimension dim of ND-array.
tiedrank_( X,dim )
function [ r ] = tiedrank_( X,dim )
% r = tiedrank_(X,dim)
%
% Ranks X along ... | 4 | [
0.0220947265625,
-0.056396484375,
0.014404296875,
-0.0673828125,
-0.021240234375,
-0.0281982421875,
-0.0400390625,
-0.054443359375,
-0.0306396484375,
-0.007659912109375,
-0.019287109375,
0.037109375,
0.021484375,
0.007476806640625,
-0.09326171875,
0.0299072265625,
-0.062255859375,
... | 6,308 | 6308 | |
MathGroup Archive: May 2009 [00186]
[Date Index] [Thread Index] [Author Index]
Re: Diffusion Model using NDSolve - Advice needed
• To: mathgroup at smc.vnet.net
• Subject: [mg99426] Re: Diffusion Model using NDSolve - Advice needed
• ... | 4 | [
-0.064453125,
-0.04345703125,
0.07421875,
-0.0208740234375,
0.0301513671875,
-0.0277099609375,
-0.0184326171875,
-0.0308837890625,
-0.000598907470703125,
-0.0234375,
0.04833984375,
-0.0703125,
-0.05810546875,
-0.019287109375,
-0.0291748046875,
-0.032470703125,
-0.052978515625,
0.00... | 6,309 | 6309 | |
A Walk in the
Activity: A Walk in the Desert 2
How to find what direction to travel in
Crash!
A Walk in the Desert first.
Jade crash-landed in the desert , but came up with a cunning plan to find the nearest village:
• Fill up a w... | 4 | [
0.10595703125,
0.0810546875,
-0.0091552734375,
-0.013427734375,
0.039306640625,
0.080078125,
0.00860595703125,
-0.029052734375,
-0.0172119140625,
0.0615234375,
0.07470703125,
-0.00160980224609375,
0.032470703125,
0.0478515625,
-0.06982421875,
-0.0028533935546875,
-0.087890625,
0.10... | 6,310 | 6310 | |
Discrete Frechet Distance - File Exchange - MATLAB Central
File Information
The Frechet distance is a measure of similarity between two curves, P and Q. It is defined as the minimum cord-length sufficient to join a po... | 4 | [
-0.052734375,
0.006195068359375,
-0.08544921875,
-0.08154296875,
0.00159454345703125,
-0.0189208984375,
-0.025390625,
0.0810546875,
0.0164794921875,
-0.00653076171875,
0.06591796875,
0.040283203125,
0.0224609375,
0.054931640625,
-0.0693359375,
-0.0189208984375,
-0.08447265625,
-0.0... | 6,311 | 6311 | |
Symmetry in Equations
Equations can have symmetry:
Graph of x^2 Graph of 1/x^
Symmetry about y-axis Diagonal symmetry
In other words, there is a mirror-image.
Benefits
The benefits of finding symmetry in an equati... | 4 | [
0.0027618408203125,
-0.048828125,
0.00537109375,
-0.0107421875,
0.025390625,
-0.09912109375,
-0.09814453125,
-0.036376953125,
0.0277099609375,
-0.00160980224609375,
0.078125,
0.017578125,
-0.0220947265625,
0.0634765625,
0.0751953125,
0.0303955078125,
0.006622314453125,
-0.045654296... | 6,312 | 6312 | |
MATLAB
zpklp2bpc
Zero-pole-gain lowpass to complex bandpass frequency transformation
Syntax
[Z2,P2,K2,AllpassNum,AllpassDen] = zpklp2bpc(Z,P,K,Wo,Wt)
Description
[Z2,P2,K2,AllpassNum,AllpassDen] = zpklp2bpc(Z,P,K,Wo,Wt) returns zeros, Z[2], poles, P[2], and gain factor, K[2], of the target filter transformed from... | 5 | [
-0.03857421875,
0.1142578125,
-0.08544921875,
0.048583984375,
-0.00811767578125,
-0.049560546875,
0.03271484375,
-0.007537841796875,
-0.020263671875,
-0.0159912109375,
-0.0018768310546875,
-0.08544921875,
0.03759765625,
-0.03515625,
0.040771484375,
0.060546875,
0.00011587142944335938... | 6,313 | 6313 | |
Matlab
MATH2070: LAB 2: Beginning Matlab
┌───────────────────────────────┬───────────────┐
... | 5 | [
-0.0260009765625,
0.00787353515625,
-0.052978515625,
0.006317138671875,
0.03662109375,
0.0272216796875,
0.00799560546875,
0.00048828125,
-0.07421875,
0.060546875,
0.1044921875,
0.04052734375,
0.0615234375,
0.0341796875,
0.0299072265625,
0.020263671875,
-0.150390625,
-0.025634765625... | 6,314 | 6314 | |
help in converting a circle to a standard form
Re: help in converting a circle to a standard form
Lily
Guest
Re: help in converting a circle to a standard form
the equation i just wrote is general forum (AX^2+Cy^2+Dx+Ey+F=0
i need convert standard form, the standard form for circle is
(x-h)^2+(y-k)^2=1
___ ___
a... | 4 | [
0.0458984375,
0.0693359375,
-0.051513671875,
0.00970458984375,
0.010009765625,
0.0174560546875,
-0.08056640625,
0.0035400390625,
0.016357421875,
-0.057373046875,
0.05419921875,
-0.041748046875,
0.0135498046875,
0.0224609375,
0.0380859375,
0.048828125,
-0.07177734375,
0.022216796875... | 6,315 | 6315 | |
1. Introduction2. Methods2.1. Esophageal Cancer Incidence Data in the Caspian Region of Iran2.2. Model & Data Structure2.3. Distributions for Disease Counts2.4. Hierarchical Models for Relative Risks2.5. Specification of Priors2.6. Specification of Hyperpriors2.7. Gibbs Variable Selection, GVS2.7.1. Fully Bayesian Esti... | 4 | [
0.083984375,
-0.04833984375,
0.004150390625,
-0.00084686279296875,
0.0096435546875,
0.033935546875,
0.005096435546875,
0.0908203125,
0.058837890625,
0.007293701171875,
0.047119140625,
0.041015625,
0.050048828125,
0.0206298828125,
-0.107421875,
-0.0673828125,
-0.052734375,
-0.064941... | 6,316 | 6316 | |
Transposing of formulae
October 26th 2009, 10:09 AM #1
Junior Member
Joined
Oct 2009
Posts
27
Transposing of formulae
Hi there, thanks in advance for any help
Make A the subject of the formula:
Q = C.A square root (2g.h / (1-A^2/x^2))
I have got this far but unsure what to do with the frac... | 4 | [
-0.0184326171875,
0.10205078125,
0.043701171875,
0.087890625,
-0.050537109375,
-0.0108642578125,
-0.0810546875,
-0.006195068359375,
0.057861328125,
0.051513671875,
0.07470703125,
-0.04345703125,
0.00372314453125,
0.046142578125,
-0.0189208984375,
0.0751953125,
0.003387451171875,
0.... | 6,317 | 6317 | |
Current in circuit equation (trigonometry!)
February 25th 2007, 04:28 AM #1
Newbie
Joined
Feb 2007
Posts
4
Current in circuit equation (trigonometry!)
Hey this is my first post... been really stuck on this particular question from a paper:
In a particular circuit the current, I amperes, is given by:... | 4 | [
-0.0220947265625,
0.06591796875,
-0.049560546875,
-0.08154296875,
-0.0673828125,
0.0322265625,
0.0390625,
0.0186767578125,
0.049072265625,
0.055419921875,
0.054931640625,
-0.057861328125,
0.10400390625,
0.140625,
0.07421875,
0.0281982421875,
-0.09130859375,
0.006622314453125,
-0.... | 6,318 | 6318 | |
nt
Notes on Gradient Logic
1. Introduction
This note considers a very strange logic, one that is closer to ideas of Newton than to those of Boole, and that is suitable for use in designing and building interactive multimedia syste... | 4 | [
0.0206298828125,
-0.0830078125,
-0.037353515625,
-0.056884765625,
0.0164794921875,
0.040771484375,
0.03076171875,
0.053466796875,
0.03759765625,
0.056640625,
0.007354736328125,
0.0133056640625,
0.0167236328125,
0.06396484375,
0.0194091796875,
0.047119140625,
-0.0791015625,
0.028320... | 6,319 | 6319 | |
GMAT Prep...How much time did u take to solve this one ??
Author Message
TAGS:
GMAT Prep...How much time did u take to solve this one ?? [#permalink] 26 Sep 2009, 16:08
... | 4 | [
-0.06298828125,
0.04931640625,
0.07421875,
0.04833984375,
0.0162353515625,
-0.08203125,
0.0849609375,
0.020751953125,
-0.006988525390625,
0.1025390625,
0.09228515625,
-0.07275390625,
0.041015625,
0.05029296875,
-0.002777099609375,
0.0498046875,
-0.05126953125,
-0.0869140625,
-0.1... | 6,320 | 6320 | |
College Algebra: Finding Circle Center and Radius Video | MindBites
College Algebra: Finding Circle Center and Radius
About this Lesson
• Type: Video Tutorial
• Length: 9:43
• Media: Video/mp4
• Use: Watch Online & Download
• Access Period: Unrestricted
• Download: MP4 (iPod compatible)
• Size: 104 MB
... | 4 | [
-0.07861328125,
0.00506591796875,
-0.0966796875,
-0.01287841796875,
-0.04833984375,
-0.0361328125,
-0.038330078125,
0.041259765625,
0.042724609375,
-0.0341796875,
0.025146484375,
-0.04638671875,
0.04345703125,
0.034423828125,
0.03369140625,
-0.0098876953125,
-0.047607421875,
-0.022... | 6,321 | 6321 | |
Number Fields
Kummer’s Lemma
Lemma: Let $\omega = e^{2 \pi i/p}$ for some odd prime $p$. If $u \in \mathbb{Z}[\omega]$ is a unit, then $u / \bar{u}$ is a power of $\omega$.
[This simple-sounding lemma is more involved than it first appears. At first, I thought it was obvious that any unit is a power of $\omega$, but ... | 5 | [
-0.02978515625,
0.08349609375,
-0.0272216796875,
0.028564453125,
0.01055908203125,
-0.0223388671875,
0.0498046875,
-0.004669189453125,
0.0537109375,
-0.11572265625,
-0.049072265625,
-0.00872802734375,
0.047119140625,
-0.0003681182861328125,
0.000762939453125,
0.033935546875,
-0.06933... | 6,322 | 6322 | |
Entangled Choices
The essence of quantum entanglement (as exhibited in things like
EPR experiments and tests of Bell's inequalities) is that the joint
probabilities for combinations of spacelike-separated events depend
on the choices of particular measurement operations that are applied
to entangled systems at those s... | 4 | [
-0.036865234375,
-0.053466796875,
0.016845703125,
0.042724609375,
-0.061279296875,
0.057373046875,
0.01226806640625,
-0.10205078125,
0.037109375,
0.000110626220703125,
-0.057861328125,
-0.05078125,
0.01043701171875,
0.03369140625,
-0.03466796875,
0.04638671875,
0.0712890625,
-0.017... | 6,323 | 6323 | |
Matrix
Simple Matrix Calculator
This will take a matrix, of size up to 5x6, to reduced row echelon form by Gaussian elimination. Each elementary row operation will be printed. Given a matrix smaller than 5x6, place it in the upper
lefthand corner and leave the extra rows and columns blank. Some sample values have been... | 4 | [
-0.028564453125,
-0.031982421875,
-0.033935546875,
-0.0294189453125,
0.061279296875,
-0.1298828125,
-0.06884765625,
-0.0693359375,
-0.08984375,
0.0830078125,
0.05615234375,
0.061279296875,
0.01318359375,
-0.031982421875,
-0.0634765625,
0.10107421875,
-0.03955078125,
-0.047119140625... | 6,324 | 6324 | |
The Equiangular Spiral - Plotting a Spiral Curve
Now that we have a formula R(t) for the growth of the radial shell measure, we will convert this formula to a polar-coordinate formula in the plane. Corresponding to the point counter
we have the polar angles
The values of n are also values of the continuous variable t... | 4 | [
-0.06640625,
0.0146484375,
-0.050537109375,
-0.06103515625,
-0.076171875,
-0.0537109375,
-0.031005859375,
0.07568359375,
0.038330078125,
-0.03076171875,
0.048583984375,
0.021484375,
0.024658203125,
0.056396484375,
0.016357421875,
-0.056396484375,
-0.035400390625,
-0.044189453125,
... | 6,325 | 6325 | |
ation
From Wikibooks, open books for an open world
Top, Chapters: 1, 2, 3, 4, 5, 6, 7, 8, 9, A
As deterministic algorithms are driven to their limits when one tries to solve hard problems with them, a useful technique to speed up the computation is randomization. In randomized algorithms, the
algorithm has access to... | 4 | [
0.0101318359375,
-0.0177001953125,
-0.01239013671875,
0.045166015625,
0.0062255859375,
-0.08544921875,
-0.0400390625,
-0.07861328125,
0.072265625,
0.01116943359375,
-0.09326171875,
0.0888671875,
0.03466796875,
-0.0576171875,
-0.042236328125,
-0.11962890625,
0.09130859375,
0.0576171... | 6,326 | 6326 | |
IntroductionMethodologyApplicationAnalysis of the Study SystemData Processing and FormulationCertainty of Predominant Impact IndictorsMathematical Modelling and CalculationsResults and DiscussionConclusionsReferencesFigure and Tables
101238455 International Journal of Environmental Research and Public Health 1661-7827 ... | 4 | [
-0.00014495849609375,
0.0264892578125,
0.06884765625,
-0.068359375,
-0.03515625,
0.00262451171875,
-0.060302734375,
0.11767578125,
-0.000766754150390625,
-0.02587890625,
-0.09423828125,
-0.078125,
0.09814453125,
0.03369140625,
-0.059326171875,
0.02197265625,
-0.09716796875,
0.00598... | 6,327 | 6327 | |
IntroductionStructure of the Lorentz MotorSMEC AnalysisConventional MECMEC SegmentationAnalysis of the Middle MECAnalysis of the Inner MECAnalysis of the Outer MECValidation of SMECConclusionsReferencesFigures and Table
In recent years, the Lorentz motor (LM) has been applied widely as an actuator to generate forces wi... | 4 | [
-0.045166015625,
-0.06494140625,
0.056640625,
0.0279541015625,
0.039794921875,
-0.02099609375,
-0.03662109375,
0.07666015625,
0.00823974609375,
0.00909423828125,
-0.0166015625,
0.00250244140625,
-0.033447265625,
0.00482177734375,
-0.07666015625,
0.055908203125,
0.0245361328125,
0.0... | 6,328 | 6328 | |
Green's Theorem
November 19th 2009, 11:04 AM #1
Junior Member
Joined
Nov 2009
Posts
64
Green's Theorem
I'm just trying to learn Green's Theorem. Can somebody look this over and see if I've got it right?
Question:
Let R be a region bounded by the curve and line
$y=-x^2+3x-2$ and $y=-2$
... | 5 | [
-0.025634765625,
0.01025390625,
0.0179443359375,
-0.09375,
0.031494140625,
-0.034423828125,
0.0157470703125,
0.083984375,
-0.039794921875,
-0.004058837890625,
-0.072265625,
0.04052734375,
-0.006805419921875,
-0.0022735595703125,
0.091796875,
0.030029296875,
-0.0303955078125,
-0.102... | 6,329 | 6329 | |
Beaucage_v40.ipf
Revision 570, 16.6 KB checked in by srkline, 5 years ago (diff)
Change (1):
In preparation for release, updated pragma IgorVersion?=6.1 in all procedures
Change (2):
As a side benefit of requiring 6.1, we can use the MultiThread? keyw... | 4 | [
-0.0361328125,
-0.00164794921875,
-0.02197265625,
-0.0693359375,
-0.035400390625,
-0.072265625,
-0.005828857421875,
0.03076171875,
-0.062255859375,
0.031982421875,
-0.015380859375,
-0.026611328125,
-0.10009765625,
-0.056396484375,
-0.00098419189453125,
-0.000244140625,
-0.00570678710... | 6,330 | 6330 | |
Derivatives as dy/dx
Derivatives are all about change ...
... they show how fast something is changing (called the rate of change) at any point.
In Introduction to Derivatives (please read it first!) we looked at how to do a der... | 4 | [
0.0028533935546875,
-0.09130859375,
0.0162353515625,
-0.029541015625,
0.010498046875,
-0.0274658203125,
-0.046875,
-0.00958251953125,
0.056640625,
0.025634765625,
0.0966796875,
0.0057373046875,
-0.019287109375,
0.040771484375,
0.061279296875,
-0.01153564453125,
-0.09375,
0.09570312... | 6,331 | 6331 | |
Partial fractions integrate
March 27th 2010, 12:56 PM #1
Junior Member
Joined
Mar 2010
Posts
27
Partial fractions integrate
Hello Please help me with this
integrate -2x+4/(x^2+1)(x-1)^2 dx
How do I start the partial fraction?
ax+b/(x^2 +1) +c/(x-1)^2 +d/(x-1) ??
please show me
Noth... | 5 | [
-0.039794921875,
0.0223388671875,
0.07470703125,
0.0634765625,
0.0142822265625,
0.028564453125,
-0.0927734375,
-0.017333984375,
-0.005828857421875,
-0.04931640625,
-0.000701904296875,
-0.11083984375,
-0.00238037109375,
0.00958251953125,
-0.060791015625,
0.0135498046875,
0.08349609375... | 6,332 | 6332 | |
[SOLVED] SETS AND FUNCTIONS
October 18th 2008, 02:42 AM #1
Newbie
Joined
Oct 2008
Posts
16
[SOLVED] SETS AND FUNCTIONS
Let S be the set of all functions from {1, 2} to {1, 2, 3}. Let F be an element of S chosen at random.
Find |S| and find the probability that F is an injective function.
F... | 5 | [
-0.006866455078125,
-0.025390625,
0.00408935546875,
-0.02783203125,
0.05419921875,
0.045166015625,
0.10302734375,
0.0174560546875,
-0.0091552734375,
0.049560546875,
-0.0125732421875,
-0.039306640625,
0.08447265625,
-0.0208740234375,
0.0035552978515625,
-0.0201416015625,
0.05029296875... | 6,333 | 6333 | |
No Tight Klein Bottle
No Tight Klein Bottle:
To show that there is no tight immersion of the Klein bottle, Kuiper used the fact that a tight immersion of a surface M can be decomposed into two components, M+ and M-, with the following
properties:
1. The curvature is non-negative on M+ and non-positive on M-,
2. T... | 4 | [
-0.01708984375,
0.0089111328125,
0.034912109375,
-0.0286865234375,
-0.0113525390625,
-0.03271484375,
0.0228271484375,
0.0810546875,
-0.0064697265625,
-0.07421875,
0.0284423828125,
-0.02490234375,
0.00775146484375,
0.01153564453125,
0.00347900390625,
-0.054443359375,
0.000457763671875... | 6,334 | 6334 | |
Vectors
(c) copyright Foundation Coalition (S. A. Fulling) 1997
Class 6.1
Vectors and the Dot Product
Reading assignment for Monday, October 6
• Stewart 11.2 and 11.3
• This Web page
We live in a multidimensional world, and first-year calculus has begun to recognize that fact. From the beginning we need to han... | 4 | [
-0.00848388671875,
-0.123046875,
-0.005218505859375,
-0.052734375,
-0.017578125,
-0.01348876953125,
-0.0186767578125,
-0.04931640625,
0.0279541015625,
0.0380859375,
-0.01708984375,
0.043701171875,
0.00927734375,
0.041748046875,
-0.04541015625,
-0.041748046875,
-0.068359375,
0.03857... | 6,335 | 6335 | |
Rethinking Pythagoras - 3. Rounding Things Out
We assume that spherical geometry takes place on the unit sphere, that is, the sphere of radius 1 unit centered at the origin. If we later want to assume that the sphere is our planet, we just set 1
unit=6378.1 km. We will thus assume that the units of measurement (of leng... | 4 | [
0.0791015625,
-0.0277099609375,
0.0019073486328125,
-0.0107421875,
-0.01904296875,
-0.041259765625,
-0.0223388671875,
0.047119140625,
0.10595703125,
-0.00014972686767578125,
-0.025634765625,
-0.072265625,
-0.005279541015625,
0.0390625,
-0.00787353515625,
-0.09130859375,
-0.0059204101... | 6,336 | 6336 | |
Experimental Math
Diary for 01:090:101:21, Experimental Math, fall 2008
The fourth meeting, 9/22/2008
Maybe a couple of presentations
I hope that representative... | 5 | [
-0.1162109375,
-0.06494140625,
0.03564453125,
-0.06591796875,
-0.004364013671875,
0.0020599365234375,
0.050537109375,
-0.01129150390625,
0.030029296875,
0.042236328125,
-0.060546875,
-0.02099609375,
-0.034912109375,
0.0400390625,
-0.0556640625,
-0.00130462646484375,
-0.03271484375,
... | 6,337 | 6337 | |
how much can a locomotive pull
Register today to interact in our online community, comment on articles, receive our newsletter, access our web cams and much more! Register » Why join? »
... | 4 | [
-0.0458984375,
-0.07080078125,
-0.0224609375,
0.10693359375,
-0.06103515625,
0.00653076171875,
-0.05908203125,
0.0966796875,
-0.09423828125,
-0.072265625,
-0.06396484375,
-0.0003910064697265625,
-0.0045166015625,
-0.0181884765625,
-0.07763671875,
0.1396484375,
0.12158203125,
-0.037... | 6,338 | 6338 | |
Solution Set 3
Problem 1
Part A
There are five states:
• S1: B is on A; still playing.
• S2: B is on A; quit.
• S3: A and B on the table; still playing.
• S4: A and B on the table; quit.
• S5: A is on B.
S2, S4, and S5 are terminal states. In S1 and S3 there are two actions; either to play or to quit. T... | 5 | [
0.0703125,
-0.07568359375,
-0.019775390625,
-0.08056640625,
0.012451171875,
0.09375,
0.0927734375,
-0.02001953125,
0.053955078125,
0.11083984375,
-0.027099609375,
-0.0322265625,
0.047119140625,
0.0400390625,
0.017822265625,
0.0478515625,
-0.0262451171875,
-0.0537109375,
0.0053100... | 6,339 | 6339 | |
AP practice question
June 1st 2010, 11:13 AM #1
If $f(u) = \sin{u}$ and $u = g(x) = x^2-9$, then $(f \circ g)'(3) =$
I know that $g'(x)= 2x$ but didn't know how to use this,
the answer is 6
you got this : f composition g = sin(x^2-9) finding it's derivative you get this ..
cos(x^2-9)*2x ,substitu... | 4 | [
0.012451171875,
0.06494140625,
0.020751953125,
0.0107421875,
0.0031585693359375,
0.0869140625,
0.015380859375,
-0.0206298828125,
-0.00543212890625,
-0.032470703125,
0.06787109375,
-0.0546875,
-0.0225830078125,
-0.0252685546875,
0.002410888671875,
-0.06591796875,
-0.00811767578125,
... | 6,340 | 6340 | |
simultaneous equation using elimination method
can you please solve this equatiion using elmination method. $3x+2y=27$ $x-2y=-27$
Okay, so by the elimination method we just add the equations together. This always works because if A=B and C=D, then A+C=B+C because we are allowed to add the same thing to both sides... B... | 4 | [
-0.0017242431640625,
0.0036468505859375,
-0.01031494140625,
0.046142578125,
-0.00726318359375,
0.028564453125,
-0.0419921875,
-0.01904296875,
-0.039794921875,
0.059326171875,
0.08837890625,
-0.003875732421875,
0.07958984375,
-0.02880859375,
0.0245361328125,
0.0302734375,
-0.125,
0.... | 6,341 | 6341 | |
Functions, Data, and Models: An Applied Approach to College Algebra
Functions, Data, and Models helps undergraduates use mathematics to make sense of the enormous amounts of data coming their way in today's Information Age.
Drawing on the authors' extensive mathematical knowledge and experience, this textbook focuses ... | 4 | [
-0.054931640625,
-0.037353515625,
0.00885009765625,
0.01043701171875,
-0.0693359375,
-0.0255126953125,
-0.004058837890625,
0.0279541015625,
0.0152587890625,
0.059326171875,
0.056884765625,
0.024169921875,
0.0255126953125,
-0.0152587890625,
-0.017578125,
0.018310546875,
-0.02014160156... | 6,342 | 6342 | |
Area between two curves
March 17th 2011, 03:04 PM #1
Area between two curves
We just finished up area between two curves and volume of a solid. I've been having some difficulties with it. This was a homework problem two nights ago, and I thought I understood it (even
after doing it in class), but I don't.
... | 5 | [
0.06640625,
-0.032958984375,
0.0029754638671875,
-0.045654296875,
-0.034423828125,
-0.0703125,
-0.0556640625,
0.09130859375,
0.023193359375,
-0.03564453125,
0.0712890625,
0.08837890625,
-0.0311279296875,
0.045654296875,
-0.01123046875,
0.030517578125,
0.0218505859375,
-0.037109375,... | 6,343 | 6343 | |
Ecological Archives
Ecological Archives A016-005-A3
Charles D. Canham and María Uriarte. 2006. Analysis of neighborhood dynamics of forest ecosystems using likelihood methods and modeling. Ecological Applications 16:62 73.
Appendix C.... | 4 | [
0.041259765625,
-0.0478515625,
0.0205078125,
-0.00714111328125,
0.0625,
-0.05517578125,
-0.0341796875,
-0.06640625,
0.0703125,
0.0615234375,
0.09033203125,
-0.057373046875,
0.009521484375,
-0.0113525390625,
-0.002410888671875,
0.0087890625,
-0.08203125,
-0.05810546875,
-0.0615234... | 6,344 | 6344 | |
Probably Overthinking It
This week I am working with one of my colleagues, the extraordinary biologist Jean Huang, on an interesting problem related to bioinformatics. This project is my first attempt at implementing a
hierarchical Bayesian model
in Python, and it has been a pleasant surprise. If you are familiar wit... | 4 | [
-0.09716796875,
0.00115203857421875,
0.047607421875,
-0.0634765625,
-0.01055908203125,
-0.076171875,
-0.053466796875,
-0.04736328125,
0.0179443359375,
0.01190185546875,
0.05712890625,
-0.103515625,
0.048583984375,
0.030029296875,
-0.05078125,
0.1064453125,
-0.053466796875,
-0.01348... | 6,345 | 6345 | |
Annuity Calculator
Future value of annuity is the value of an asset at a specific date. The Future Value of an Annuity (FVA) is the value that a stream of expected or promised future payments will grow to after a given
number of periods at a specific compounded interest.
The Future Value of Annuity measures the nomin... | 4 | [
-0.01177978515625,
0.12109375,
-0.06640625,
-0.0299072265625,
-0.003997802734375,
-0.0257568359375,
0.00811767578125,
0.05615234375,
0.12451171875,
0.05224609375,
-0.01019287109375,
-0.06884765625,
-0.0174560546875,
0.052490234375,
0.00872802734375,
0.0150146484375,
-0.10400390625,
... | 6,346 | 6346 | |
Integration, Acceleration, Velocity and time
September 14th 2008, 07:25 PM #1
Newbie
Joined
Jan 2008
Posts
11
Integration, Acceleration, Velocity and time
The question states
An object is moving in a straight line through a fixed point A.
When the object first passes through A it is travelling a... | 4 | [
-0.0174560546875,
0.056884765625,
0.003631591796875,
-0.0277099609375,
-0.000865936279296875,
0.0034027099609375,
-0.0341796875,
0.056396484375,
0.0341796875,
0.041748046875,
0.1494140625,
-0.0986328125,
-0.0284423828125,
0.0810546875,
-0.0634765625,
-0.01409912109375,
0.014221191406... | 6,347 | 6347 | |
Inverse-Square Forces and Orthogonal Polynomials
A well-known aspect of Newtonian gravity (and more generally of any inverse-square force) is the fact that given a spherically symmetrical distribution of matter centered around the point C, the net
force exerted on a test particle located outside the distribution of ma... | 5 | [
-0.014404296875,
-0.0203857421875,
0.0242919921875,
0.08203125,
-0.0184326171875,
-0.0125732421875,
-0.013427734375,
0.019775390625,
0.08984375,
0.09912109375,
0.0247802734375,
-0.01123046875,
-0.0419921875,
-0.01513671875,
-0.055908203125,
-0.12060546875,
0.049560546875,
-0.040039... | 6,348 | 6348 | |
IntroductionSensing ApproachesRepresentation and Determination of Orientation: Mathematical ReviewRepresentation of OrientationKinematic Equations Describing the Motion of a Rigid BodyOrientation Estimation AlgorithmsDeterministic Single-Frame ApproachStochastic Estimation AlgorithmsDesigning a Quaternion-Based EKF for... | 4 | [
-0.0101318359375,
0.033935546875,
-0.003753662109375,
-0.109375,
0.0277099609375,
0.0299072265625,
0.0166015625,
0.0196533203125,
0.0203857421875,
0.06396484375,
0.06396484375,
-0.044189453125,
0.0294189453125,
-0.044921875,
-0.04638671875,
-0.1064453125,
-0.04541015625,
0.09033203... | 6,349 | 6349 | |
I need some help, all the way back here in Sweden. Easy stuff, I guess
Zzulu
Guest
I need some help, all the way back here in Sweden. Easy stuff, I guess
I'll try to translate these questions to the best of my ability, since it's originally written in Swedish. (there's a distinct lack of online math discussion ov... | 4 | [
-0.0576171875,
0.07861328125,
-0.051513671875,
-0.05078125,
-0.009765625,
0.017578125,
-0.0291748046875,
0.08935546875,
-0.0289306640625,
0.0262451171875,
0.07421875,
-0.07958984375,
-0.05517578125,
0.0185546875,
0.00909423828125,
-0.0181884765625,
-0.109375,
-0.005035400390625,
... | 6,350 | 6350 | |
Did Einstein Misunderstand Aberration?
One of the most common misconceptions regarding special relativity is the idea that there is something wrong with its treatment of stellar aberration. This is usually expressed in terms of the
incoming rays from binary star systems, which, according to the common misunderstanding... | 4 | [
-0.052001953125,
-0.015380859375,
-0.0115966796875,
0.0439453125,
0.0068359375,
-0.03662109375,
-0.02734375,
0.01953125,
0.00274658203125,
-0.042724609375,
-0.0145263671875,
0.0830078125,
-0.00518798828125,
-0.01080322265625,
-0.0595703125,
-0.0245361328125,
0.006256103515625,
0.03... | 6,351 | 6351 | |
Orthogonality and Least Squares
5. Orthogonality and Least Squares
§5.1 Introduction
Today we will talk about orthogonality and least squares. Gi... | 5 | [
-0.09912109375,
-0.0125732421875,
-0.01434326171875,
-0.058837890625,
-0.017822265625,
0.005279541015625,
-0.0032196044921875,
-0.052734375,
0.061279296875,
0.06591796875,
0.019775390625,
0.14453125,
0.02490234375,
0.0791015625,
-0.068359375,
-0.031005859375,
-0.00116729736328125,
... | 6,352 | 6352 | |
Producing Graphics with the Toolbox
Introduction
Financial Toolbox™ and MATLAB^® graphics functions work together to produce presentation quality graphics, as these examples show. The examples ship with the toolbox as MATLAB files. Try them by
entering the commands directly or by executing the code. For help using MA... | 5 | [
0.042724609375,
-0.09228515625,
-0.1572265625,
-0.05029296875,
-0.0081787109375,
-0.0537109375,
-0.0213623046875,
-0.00168609619140625,
-0.002899169921875,
0.00628662109375,
-0.007110595703125,
0.0093994140625,
0.041748046875,
-0.0341796875,
0.00101470947265625,
-0.0238037109375,
-0.... | 6,353 | 6353 | |
Matching Lube Oil Systems to Machinery Requirements
Proper lubrication of a system requires attention to detail and careful selection of units that can get the job done for a specific application. It is important to lay the groundwork for a
preliminary selection of an oil lube system that matches the machine’s requirem... | 5 | [
-0.06884765625,
-0.09130859375,
0.0169677734375,
-0.01171875,
0.00127410888671875,
-0.031005859375,
-0.049072265625,
0.07568359375,
0.000698089599609375,
-0.099609375,
0.0002880096435546875,
-0.041015625,
0.0303955078125,
-0.038818359375,
-0.0233154296875,
-0.044677734375,
0.07617187... | 6,354 | 6354 | |
Markov Modeling - Considerations for Complex Systems
Markov Modeling for Reliability
Part 3: Considerations for More Complex Systems
The simple method described in Section 2 works quite well for systems with just dual redundancy, and with component repair rates that are much greater than the component failure rates... | 4 | [
-0.07421875,
-0.01409912109375,
0.08544921875,
-0.000820159912109375,
0.0048828125,
-0.0277099609375,
-0.0252685546875,
0.04443359375,
0.035400390625,
-0.002685546875,
-0.013427734375,
-0.004852294921875,
0.10546875,
0.039306640625,
0.0113525390625,
-0.043212890625,
-0.0048828125,
... | 6,355 | 6355 | |
check my homework
Member
Registered: 2005-08-04
Posts: 394
Re: check my homework
Member
Registered: 2006-01-21
Posts: 7
check my homework
Do five out six, including Q2 and / or Q5. The problems that involve finding a solution (Q2, Q4, Q5) are to be done algebraically - by setting up and solv... | 4 | [
-0.04736328125,
0.07470703125,
0.033447265625,
0.03662109375,
-0.03173828125,
0.09912109375,
0.0322265625,
0.000019788742065429688,
-0.02392578125,
-0.00958251953125,
0.006988525390625,
0.06005859375,
0.044189453125,
0.04931640625,
-0.043701171875,
0.05224609375,
-0.06884765625,
0.... | 6,356 | 6356 | |
Cruise Control: Root Locus Controller Design
Key MATLAB commands used in this tutorial are: tf , rlocus , feedback , step
Contents
System model
The transfer function model for the cruise control problem is given below. Please see the Cruise Control: System Modeling page for the derivation.
(1)
System parameters
... | 5 | [
-0.00148773193359375,
0.0172119140625,
-0.04296875,
0.0167236328125,
0.000530242919921875,
0.03515625,
-0.0128173828125,
0.119140625,
-0.02197265625,
0.076171875,
0.115234375,
0.0238037109375,
0.04833984375,
-0.07568359375,
-0.055419921875,
0.150390625,
0.031982421875,
0.0285644531... | 6,357 | 6357 | |
Parameter Estimation and Inverse Problems
Preface
Chapter 1: Introduction
1.1 Classification of Parameter Estimation and Inverse Problems
1.2 Examples of Parameter Estimation Problems
1.3 Examples of Inverse Problems
1.4 Discretizing Integral Equations
1.5 Why Inverse Problems are Hard
1.6 Exercises
1.7 Notes and Furt... | 4 | [
-0.032958984375,
0.00830078125,
0.1240234375,
0.0086669921875,
-0.01043701171875,
-0.06787109375,
0.0164794921875,
0.0262451171875,
-0.0208740234375,
0.027587890625,
0.00811767578125,
0.050048828125,
0.07666015625,
-0.038818359375,
-0.1298828125,
-0.0625,
0.02197265625,
0.057617187... | 6,358 | 6358 | |
Finitely Generated Abelian Groups
Consider an abelian group $A$ generated by $m$ elements
\[ A = \langle a_1,...,a_m \rangle \]
Then the free abelian group of rank $m$
\[ F = \langle u_1,...,u_m \rangle \]
maps homomorphically onto $A$ via the map that sends $u_i$ to $a_i$. By the first isomorphism theorem we have... | 4 | [
-0.04638671875,
0.064453125,
-0.033447265625,
0.052734375,
0.006103515625,
0.07958984375,
-0.00933837890625,
-0.080078125,
-0.0177001953125,
-0.022216796875,
0.07666015625,
-0.09130859375,
0.051025390625,
-0.051025390625,
-0.00811767578125,
0.03369140625,
-0.0439453125,
0.026245117... | 6,359 | 6359 | |
Sparse Frequency Diverse MIMO Radar Imaging for Off-Grid Target Based on Adaptive Iterative MAP
Open Access This article is
• freely available
• re-usable
Article
Sparse Frequency Diverse MIMO Radar Imaging for Off-Grid Target Based on Adaptive Iterative MAP
*
Author to whom correspondence should be addressed;... | 4 | [
0.00201416015625,
0.006195068359375,
-0.062255859375,
-0.02001953125,
0.06494140625,
-0.07177734375,
-0.0146484375,
-0.044921875,
-0.047607421875,
-0.0172119140625,
-0.044677734375,
0.0380859375,
0.04052734375,
-0.0284423828125,
0.0299072265625,
-0.023681640625,
-0.023681640625,
0.... | 6,360 | 6360 | |
Quadratic Equations
Solving Quadratic (2nd degree) Equations
There are 3 widely used methods for solving quadratic equations. A quadratic (or second-degree) equation is an equation in which the variable has an exponent of 2. The standard fo... | 4 | [
0.032470703125,
-0.0008392333984375,
-0.01055908203125,
0.0286865234375,
-0.05419921875,
0.016357421875,
-0.09033203125,
0.0225830078125,
-0.0240478515625,
0.05810546875,
0.07568359375,
-0.025146484375,
0.01141357421875,
0.06298828125,
0.05126953125,
0.06103515625,
-0.045166015625,
... | 6,361 | 6361 | |
A Dyadic Importance Aware Update: Part III
The next time somebody asks,
"Whose Afraid of Non-Convex Loss Functions?"
, I'm going to raise my hand. This
dyadic model
is only mildly non-convex but is proving challenging to get right.
I downloaded the
bookcrossing
dataset. The rankings are ordinal so the standard e... | 4 | [
-0.01336669921875,
-0.05712890625,
0.064453125,
-0.015625,
0.08447265625,
-0.0274658203125,
-0.00933837890625,
0.05419921875,
0.0615234375,
0.034423828125,
-0.01611328125,
0.00909423828125,
0.044921875,
0.035888671875,
-0.0283203125,
0.059326171875,
0.052734375,
0.0186767578125,
... | 6,362 | 6362 | |
Week Number Calculation
©
J R Stockton, ≥ 2012-11-10
Links within this site :-
Requests for "a function to return the week number of a date" are common. It is essential
• to check which definition is to be used;
• and, for some definitions, to return also the proper year number, because of the overlaps.
Such a funct... | 4 | [
-0.07275390625,
0.068359375,
-0.01080322265625,
-0.00830078125,
-0.06298828125,
-0.000133514404296875,
-0.0673828125,
0.03369140625,
-0.05224609375,
-0.0869140625,
-0.06689453125,
-0.06201171875,
-0.06103515625,
-0.003997802734375,
0.0361328125,
-0.10546875,
-0.10107421875,
0.00537... | 6,363 | 6363 | |
1. Introduction1.1. Three Extensions of the Basic Version1.1.1. Min-Ed and Max-Ed with Critical Edges1.1.2. Weighted Version of Min-Ed or Max-Ed1.1.3. Binary Transitive Reduction (Btr)2. Summary of Known Algorithmic and Inapproximability Results3. Review of a Few Algorithmic Techniques Used for Transitive Reduction Pro... | 4 | [
0.00787353515625,
0.031494140625,
0.0245361328125,
-0.07421875,
0.0157470703125,
-0.028076171875,
-0.0859375,
0.0693359375,
-0.037841796875,
0.09130859375,
-0.04248046875,
0.06298828125,
0.061279296875,
0.0712890625,
-0.09375,
0.017333984375,
-0.00982666015625,
0.0216064453125,
-... | 6,364 | 6364 | |
Calculus/Real numbers
From Wikibooks, open books for an open world
You are probably already familiar with many different sets of numbers from your past experience. Some of the commonly used sets of numbers are
• Natural numbers, usually denoted with an N, are the numbers 0,1,2,3,...
• Integers, usually denoted wi... | 4 | [
-0.09814453125,
-0.038330078125,
-0.030029296875,
0.048583984375,
-0.07470703125,
-0.05224609375,
0.058349609375,
0.033447265625,
0.103515625,
0.004150390625,
-0.0079345703125,
-0.001983642578125,
0.04345703125,
0.076171875,
-0.0072021484375,
-0.07373046875,
-0.00135040283203125,
0... | 6,365 | 6365 | |
Pascals Triangle, Home Work and Root Cause Analysis
"Dad, can you help me with my homework"? The phrase every parent dreads, particularly as you know it's maths night. The eldest is fiddling with his iPad doing something complicated while Grandpa
looks on muttering that in his day silicon based tablets were smaller and... | 4 | [
-0.0106201171875,
0.021484375,
0.002593994140625,
-0.003814697265625,
0.002685546875,
-0.06201171875,
-0.045166015625,
0.06591796875,
-0.00860595703125,
0.04248046875,
-0.00811767578125,
-0.00885009765625,
0.0286865234375,
-0.01397705078125,
-0.007415771484375,
-0.00994873046875,
-0.... | 6,366 | 6366 | |
matlab (given three points , how to find a circula
"Sam park" <ts10004ok@hanmail.net> wrote in message <ich1et$cab$1@fred.mathworks.com>...
> "Roger Stafford" <ellieandrogerxyzzy@mindspring.com.invalid> wrote in message <ich0oc$pn8$1@fred.mathworks.com>...
> > "Sam park" <ts10004ok@hanmail.net> wrote in message <icgi7c... | 4 | [
-0.017333984375,
-0.0064697265625,
-0.04443359375,
-0.10791015625,
-0.021240234375,
-0.009765625,
0.04736328125,
0.052001953125,
0.034912109375,
0.022216796875,
0.0771484375,
-0.030517578125,
0.10302734375,
-0.043212890625,
0.0693359375,
0.0252685546875,
-0.08349609375,
-0.04858398... | 6,367 | 6367 | |
Natural Convection and Inclined Parallel Plates
Creativity or experience?
What is more important in the work of a designer, his creativity or his experience?
Creativity...
adamru 14th Mar '14 20:24
The law of the Cheshire cat
Would you tell me please, which way I ought to go from here?That depends a good deal on w... | 4 | [
-0.09814453125,
0.0286865234375,
0.005462646484375,
0.0177001953125,
0.007171630859375,
-0.05322265625,
-0.022705078125,
0.0260009765625,
-0.014404296875,
0.053466796875,
-0.049560546875,
-0.07763671875,
0.0732421875,
-0.07421875,
0.062255859375,
-0.036865234375,
0.049560546875,
-0... | 6,368 | 6368 | |
scipy.optimize.minimize
Minimization of scalar function of one or more variables.
New in version 0.11.0.
fun : callable
Objective function.
x0 : ndarray
Initial guess.
args : tuple, optional
Extra argume... | 5 | [
-0.078125,
-0.031494140625,
-0.0274658203125,
0.01080322265625,
-0.020263671875,
-0.03955078125,
0.030517578125,
0.00213623046875,
-0.10302734375,
0.044677734375,
-0.006744384765625,
0.04345703125,
-0.013671875,
0.056640625,
-0.059814453125,
0.022216796875,
-0.004638671875,
-0.0334... | 6,369 | 6369 | |
Inequalities Lesson Plans & Worksheets :: 21 - 40
Inequalities Teacher Resources
Find Inequalities educational ideas and activities
Showing 21 - 40 of 2,465 resources
Students use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different length... | 4 | [
-0.0181884765625,
0.07080078125,
-0.0029144287109375,
0.0029144287109375,
-0.09423828125,
0.01556396484375,
-0.1123046875,
0.039794921875,
0.011474609375,
0.0810546875,
0.035400390625,
0.0810546875,
0.046875,
0.0458984375,
0.01458740234375,
0.023193359375,
0.019775390625,
-0.032714... | 6,370 | 6370 | |
A
RUN-TIMES FOR SOME TREE ALGORITHMS
(C) Samuel L. Marateck, 1999
The run-time for a tree procedure depends on the number of nodes visited. In a procedure like Inorder that traverses the entire tree, the procedure visits each node a constant number of times, so the
run-time is O(n) for a tree with n nodes.
Run-time... | 4 | [
0.042724609375,
0.044921875,
-0.005950927734375,
0.047607421875,
0.05322265625,
-0.11328125,
-0.11328125,
0.0810546875,
0.06884765625,
-0.00592041015625,
-0.05224609375,
0.03466796875,
0.025146484375,
-0.09716796875,
-0.039794921875,
0.0216064453125,
-0.020263671875,
-0.01928710937... | 6,371 | 6371 | |
(such as the LM335A
by James Newton
This page is about compexity and beauty in embedded engineering... or about units conversion maths and improving sensor accuracy with filtering and noise... or about building a digital thermometer
using a temperature sensor connected to a microcontroller. As you wish.
The LM335 ... | 4 | [
-0.0301513671875,
0.0311279296875,
-0.006744384765625,
-0.00811767578125,
0.0458984375,
-0.057373046875,
-0.01397705078125,
-0.01165771484375,
0.0162353515625,
0.05029296875,
0.05126953125,
-0.07861328125,
0.0272216796875,
-0.029541015625,
-0.0238037109375,
0.0810546875,
0.068359375,... | 6,372 | 6372 | |
Probability Formula
Probability is based on observations of certain events. Probability of an event is the ratio of the number of observations of the event to the total numbers of the observations. An experiment is a
situation involving chance or probability that leads to results called outcomes. An outcome is the resu... | 4 | [
0.01055908203125,
0.01104736328125,
-0.0181884765625,
0.0245361328125,
-0.00592041015625,
-0.03466796875,
0.024658203125,
0.05712890625,
0.1650390625,
0.0400390625,
0.036376953125,
-0.056884765625,
0.07958984375,
0.022705078125,
0.01123046875,
0.031494140625,
-0.00946044921875,
-0.... | 6,373 | 6373 | |
e^x-1/x^2 = 0
December 2nd 2011, 11:32 AM #1
Newbie
Joined
Dec 2011
Posts
4
e^x-1/x^2 = 0
hi, i have to solve this equation:
$e^x-\frac{1}{x^2}=0$
it put it in wolframalpha and it says that the solution is $2W(\frac{1}{2})$, where W is the Lambert W-function, but i dont know how it find this. Can... | 5 | [
0.0228271484375,
0.015380859375,
-0.01300048828125,
0.078125,
0.01007080078125,
-0.041259765625,
-0.058349609375,
0.01287841796875,
0.015380859375,
-0.017333984375,
0.12060546875,
-0.08447265625,
-0.00112152099609375,
0.0299072265625,
-0.0223388671875,
0.04833984375,
0.00848388671875... | 6,374 | 6374 | |
numpy.poly
Find the coefficients of a polynomial with the given sequence of roots.
Returns the coefficients of the polynomial whose leading coefficient is one for the given sequence of zeros (multiple roots must be included in the sequence as many times as their multiplicity;
see Examples). A square matrix... | 5 | [
-0.07666015625,
0.011962890625,
-0.064453125,
0.00872802734375,
-0.072265625,
-0.02001953125,
-0.09521484375,
-0.01116943359375,
-0.00897216796875,
-0.028564453125,
-0.00823974609375,
0.000926971435546875,
-0.002838134765625,
-0.0048828125,
-0.038330078125,
0.035400390625,
-0.09375,
... | 6,375 | 6375 | |
Smoothing a Histogram
Here is a histogram of some random values that might represent data that were collected on some measurement.
y = randn(1,5001);
hist(y);
We would like to derive from this histogram a smoother approximation to the underlying distribution. We do this by constructing a spline function f whose avera... | 4 | [
-0.01007080078125,
-0.028564453125,
-0.0089111328125,
-0.1171875,
0.00714111328125,
-0.004150390625,
0.0439453125,
0.068359375,
-0.1279296875,
-0.0027313232421875,
-0.04931640625,
0.02685546875,
0.08642578125,
-0.0084228515625,
-0.0155029296875,
0.00439453125,
-0.019775390625,
-0.0... | 6,376 | 6376 | |
Quantum Gravity Seminar
Week 8 - The Biedenharn-Elliot Identity
John Baez
December 4, 2000
"And now," said the Wizard, "For Track 2. This will be my last lecture of the quarter, and indeed of the millennium. I intend to go out with a bang, so pay close attention."
The students stopped chatting and prepared to tak... | 4 | [
-0.142578125,
0.0177001953125,
0.01104736328125,
0.04638671875,
-0.0654296875,
-0.0247802734375,
0.10791015625,
-0.0235595703125,
0.01507568359375,
-0.0225830078125,
0.0185546875,
0.004669189453125,
-0.1279296875,
-0.017822265625,
-0.02197265625,
-0.01458740234375,
-0.0181884765625,
... | 6,377 | 6377 | |
Linear Algebra/Dimension Characterizes Isomorphism
From Wikibooks, open books for an open world
In the prior subsection, after stating the definition of an isomorphism, we gave some results supporting the intuition that such a map describes spaces as "the same". Here we will formalize this
intuition. While two spaces ... | 5 | [
-0.06787109375,
-0.05859375,
0.10986328125,
-0.00244140625,
-0.0179443359375,
-0.00653076171875,
0.00128173828125,
0.01385498046875,
0.023681640625,
-0.0849609375,
0.05322265625,
-0.06640625,
-0.0439453125,
-0.00665283203125,
-0.0400390625,
0.010986328125,
0.0244140625,
0.016967773... | 6,378 | 6378 | |
Efficient VLSI Architecture for Training Radial Basis Function Networks
Open Access This article is
• freely available
• re-usable
Article
Efficient VLSI Architecture for Training Radial Basis Function Networks
Department of Computer Science and Information Engineering, National Taiwan Normal University, Taipei... | 4 | [
-0.00616455078125,
-0.025390625,
-0.03955078125,
0.0031585693359375,
-0.00396728515625,
0.051513671875,
-0.014404296875,
0.052734375,
0.037841796875,
-0.064453125,
-0.0257568359375,
0.0311279296875,
0.02197265625,
-0.041748046875,
-0.061279296875,
0.0015869140625,
-0.0155029296875,
... | 6,379 | 6379 | |
Perpendicular
Curvature of Axes Perpendicular to the Axis of Motion
In the previous section, we assumed that the angular field of view was small. If that assumption is not made, how do the results change? As the picture above promises, lines perpendicular to the
direction of motion appear curved into hyperbolas. Why... | 4 | [
-0.0218505859375,
0.01214599609375,
0.0291748046875,
-0.078125,
0.0206298828125,
-0.02392578125,
-0.007171630859375,
-0.032958984375,
0.10498046875,
0.06787109375,
0.087890625,
0.04638671875,
-0.042724609375,
-0.00860595703125,
-0.087890625,
0.0162353515625,
0.00286865234375,
-0.00... | 6,380 | 6380 | |
scipy.sparse.csgraph.laplacian
scipy.sparse.csgraph.laplacian¶
scipy.sparse.csgraph.laplacian(csgraph, normed=False, return_diag=False)[source]¶
Return the Laplacian matrix of a directed graph.
For non-symmetric graphs the out-degree is used in the computation.
csgraph : array_like or sparse... | 4 | [
-0.00762939453125,
-0.0264892578125,
-0.1064453125,
-0.03125,
0.00830078125,
-0.06689453125,
-0.0908203125,
-0.050537109375,
-0.046875,
-0.03076171875,
0.047119140625,
0.032958984375,
-0.005157470703125,
-0.0120849609375,
0.059814453125,
-0.0240478515625,
0.00008535385131835938,
-0... | 6,381 | 6381 | |
IntroductionBasic Principle and Mathematical ModelInertial Baseline Vector SolutionGNSS Baseline Vector SolutionRate-Gyro-Integral ConstraintImplementation and Geometric AnalysisImplementation MethodGeometric AnalysisError AnalysisSimulationsLand Vehicle TestingFeasibility TestCharacteristics TestConclusionsAppendixCon... | 4 | [
-0.04443359375,
0.0419921875,
0.023193359375,
-0.0888671875,
0.046142578125,
-0.027099609375,
0.002349853515625,
0.0284423828125,
-0.057373046875,
-0.0086669921875,
0.037841796875,
-0.036865234375,
0.052490234375,
-0.01611328125,
-0.103515625,
0.01495361328125,
-0.060302734375,
0.0... | 6,382 | 6382 | |
Lesson Tutor : Math Review for ACT College Entrance Exam
1. If x + 6 = 9, then 3x + 1 = ?
Answer choices: (A) 3 (B) 9 (C) 10 (D) 34 (E) 46
Let’s think it through. Choice A is to tempt you into a quick (wrong) decision. When you solve for x in the first equation (x + 6 = 9) you get 3, which is choice A.
But that is no... | 4 | [
-0.0498046875,
0.07177734375,
0.07421875,
-0.0712890625,
-0.0052490234375,
0.076171875,
0.099609375,
0.021728515625,
-0.01220703125,
0.0498046875,
-0.02783203125,
-0.043212890625,
0.01226806640625,
0.01043701171875,
-0.00022125244140625,
0.021484375,
-0.04638671875,
0.07666015625,
... | 6,383 | 6383 | |
Going Farther: RSA
One of the best known applications of number theory is to what is known as a public key cryptosystem. The idea behind a public key cryptosystem is that one person, let's call her Alice, can tell
anyone and everyone enough information to encode a message to be sent to her, but only Alice can ... | 5 | [
-0.0712890625,
0.0235595703125,
-0.08203125,
-0.0208740234375,
-0.06103515625,
-0.051513671875,
-0.01422119140625,
0.0093994140625,
0.0908203125,
0.050048828125,
-0.048583984375,
0.1552734375,
0.042236328125,
-0.045166015625,
0.03857421875,
-0.04296875,
0.0220947265625,
0.068847656... | 6,384 | 6384 | |
Example 4.1.10: The Leaning Tower of Lire
Jillian, a diligent but overworked student, fell asleep in the library and got locked in for the night. When she awoke, the room was dimly lit and she was alone. To pass the time (and to annoy the
librarian in the morning) she decided to stack books on a table so that they wou... | 5 | [
-0.0206298828125,
-0.034423828125,
-0.006072998046875,
0.0037689208984375,
-0.06494140625,
-0.041748046875,
-0.052490234375,
0.09912109375,
0.0184326171875,
0.078125,
-0.0260009765625,
0.0458984375,
0.03515625,
-0.0260009765625,
-0.01904296875,
0.05517578125,
-0.0086669921875,
0.08... | 6,385 | 6385 | |
A Modern Vision of the Work of Cardano and Ferrari on Quartics - Biquadratic Equations
At the very beginning of Ars Magna, five polynomial equations of the fourth order appear ([1], pp. 10-11), namely x^4 = 81, x^4 + 3x^2 = 28, x^4 + 12 = 7x^2, x^4 + 12 = 6x^2, and x^4 = 2x^2 + 8.
Cardano ascertains that 3 and -3 are s... | 5 | [
-0.0703125,
0.049072265625,
-0.08740234375,
0.1064453125,
-0.04931640625,
-0.03759765625,
0.0179443359375,
0.01318359375,
0.023681640625,
-0.06884765625,
0.03369140625,
-0.0220947265625,
-0.05224609375,
0.09326171875,
-0.06591796875,
-0.0113525390625,
-0.04150390625,
0.006103515625... | 6,386 | 6386 | |
Solution to a Functional Equation
Navigation Panel: (These buttons explained below)
Question Corner and Discussion Area
Solution to a Functional Equation
Asked by Aryan Ghirati, student, Kherad on October 6, 1997:
Is there a... | 5 | [
-0.055419921875,
0.01007080078125,
-0.07373046875,
-0.0380859375,
-0.083984375,
0.07373046875,
0.08056640625,
0.002197265625,
-0.00592041015625,
-0.0125732421875,
-0.078125,
-0.07373046875,
0.0169677734375,
0.0306396484375,
0.0341796875,
0.03857421875,
-0.059326171875,
0.0056152343... | 6,387 | 6387 | |
Cramers Rule
Cramer's Rule
The method of solution of linear equations by determinants is called Cramer's Rule. This rule for linear equations in 3 unknowns is a method of solving -by determinants- the following equations for x
, y, z
a[1]x + b[1]y + c[1]z = d[1]
a[2]x + b[2]y + c[2]z = d[2]
a[3]x + b[3]y + c[3]z = d... | 5 | [
-0.11328125,
-0.00738525390625,
-0.091796875,
-0.00628662109375,
0.0751953125,
0.003570556640625,
0.035888671875,
-0.0810546875,
-0.07177734375,
0.083984375,
-0.01141357421875,
-0.006927490234375,
0.027099609375,
-0.005279541015625,
-0.0235595703125,
0.04248046875,
-0.0654296875,
0... | 6,388 | 6388 | |
Math - Geometry Lesson Plans : Perimeter & Area of Rectangles & Squares
┌───────────────────────────────┐
... | 4 | [
0.08056640625,
0.03515625,
-0.0126953125,
-0.034912109375,
-0.10888671875,
-0.0146484375,
-0.00494384765625,
0.0274658203125,
-0.03271484375,
0.0120849609375,
-0.00286865234375,
-0.001556396484375,
0.00811767578125,
0.11181640625,
0.0189208984375,
0.0025482177734375,
-0.0008354187011... | 6,389 | 6389 | |
:
Simple example of groundwater flow following Darcy’s law
15.1 PASS: Simple example of groundwater flow following Darcy’s law
Author
G. D. McBain
Command
sh groundwater.sh groundwater.gfs
Version
120706
Required files
groundwater.gfs (view) (download)
groundwater.sh groundwater.gfv p.ref U.re... | 4 | [
-0.0206298828125,
-0.031982421875,
0.06640625,
-0.00677490234375,
0.08251953125,
-0.0181884765625,
-0.056396484375,
-0.00860595703125,
0.01458740234375,
0.0007476806640625,
-0.054931640625,
-0.06591796875,
0.07177734375,
0.140625,
-0.059814453125,
-0.11181640625,
-0.06396484375,
0.... | 6,390 | 6390 | |
Series question
February 14th 2013, 06:57 PM
njuice8
Series question
You save $20 the first month, $24 the second month, $28 the third month and so on. How long will it take you to save a total of $800?
How would you solve this using the Sn equation?
I know that Sn=n/2(t1+tn)
so 800=n/2(20+tn)
W... | 4 | [
-0.0927734375,
0.060302734375,
0.052490234375,
-0.0037994384765625,
-0.033447265625,
0.07080078125,
-0.0751953125,
0.07861328125,
-0.027587890625,
0.0306396484375,
0.02880859375,
0.0174560546875,
0.0185546875,
0.0238037109375,
-0.039306640625,
-0.044677734375,
-0.013671875,
-0.0285... | 6,391 | 6391 | |
Adding and simplifying trigonometric expression
I keep having problem with simplification problems...
My problem is: $\frac{6tan(x)}{1+sec(x)}+\frac{6+6sec(x)}{tan(x)}$
The answer given is: $12csc(x)$ but I cannot reach this answer.
My attempt is...
$\frac{6tan^2(x)}{tan(x)[1+sec(x)]}+\frac{[1+s... | 4 | [
0.01275634765625,
-0.0125732421875,
0.02880859375,
0.0732421875,
-0.0279541015625,
0.0260009765625,
0.041748046875,
-0.040283203125,
0.046875,
-0.0260009765625,
0.04052734375,
-0.03125,
-0.0361328125,
-0.0174560546875,
0.006927490234375,
-0.0186767578125,
0.00543212890625,
0.091796... | 6,392 | 6392 | |
Difficult Related Rates
November 23rd 2008, 01:35 PM #1
Newbie
Joined
Nov 2008
Posts
4
Difficult Related Rates
1)An oil storage tank has the shape of a paraboloid with a radius of 5ft and a height of 9ft. Oil flows into the tank at the rate of 8 cubic feet/min. The volume of the tank is V=(50*pi*h^(3/2))... | 5 | [
-0.0380859375,
0.028076171875,
0.0179443359375,
-0.045654296875,
0.04150390625,
-0.033935546875,
-0.07763671875,
0.08984375,
-0.021484375,
-0.060546875,
-0.001983642578125,
-0.037353515625,
0.001953125,
0.04150390625,
-0.01544189453125,
0.006744384765625,
-0.00799560546875,
0.03320... | 6,393 | 6393 | |
Proving Isomorphism
June 4th 2013, 02:26 PM #4
June 4th 2013, 02:00 PM #3
Newbie
June 4th 2013, 07:27 AM #2
June 4th 2013, 06:49 AM #1
Newbie
Re: Proving Isomorphism
Suppose that $\alpha\in X^{\{1,2\}}$ define $\Phi(\alpha)=(\alpha(1),\alpha(2))~.$ Now is it clear that $\Phi:X^{\{1,2\}}\to X\times X~?$ If $\Ph... | 4 | [
0.056396484375,
-0.0751953125,
0.050048828125,
-0.0272216796875,
-0.044677734375,
-0.00128173828125,
0.09033203125,
0.0244140625,
0.0247802734375,
-0.038818359375,
0.051025390625,
0.00811767578125,
-0.043212890625,
0.047119140625,
0.031982421875,
0.06591796875,
-0.0081787109375,
-0... | 6,394 | 6394 | |
Examples 6.5.16(b):
L'Hospital's rule does not seem to apply in this case, since we have '0 * , not '0 / 0'. But if we write this expression as x^n / e^x we see that we can apply the second of l'Hospital's rules.
Let
f(x) = x^n and g(x) = e^x
Then l'Hospital's rule applies to the limit of f(x) / g(x) as x goes... | 5 | [
-0.055419921875,
0.0240478515625,
-0.0184326171875,
0.041015625,
0.05517578125,
-0.04736328125,
-0.01361083984375,
-0.015380859375,
0.0751953125,
0.01953125,
0.10546875,
0.005096435546875,
-0.004730224609375,
-0.01483154296875,
0.025634765625,
-0.02587890625,
-0.040283203125,
-0.01... | 6,395 | 6395 | |
Help w/ Excel spreadsheet & probability
May 14th 2010, 11:43 AM #1
Junior Member
Joined
Apr 2010
Posts
57
Help w/ Excel spreadsheet & probability
Hi. I am trying to make a spreadsheet to calculate the likelihood of certain items appearing in a game called Monster Hunter Tri for the Wii (hopefully some of... | 4 | [
-0.00860595703125,
-0.01397705078125,
0.00139617919921875,
-0.034423828125,
-0.0400390625,
-0.0255126953125,
0.0172119140625,
0.030029296875,
0.000873565673828125,
0.03759765625,
0.032470703125,
-0.09521484375,
0.0027008056640625,
-0.033935546875,
0.046142578125,
0.11279296875,
0.052... | 6,396 | 6396 | |
Areas of Conic Quadrilaterals
A quadrilateral is said to be conic for a given eccentricity if all four vertices lie on a conic locus with that eccentricity. A special case of this is with zero eccentricity, in which case the
conic is a circle and the quadrilateral is said to be cyclic. Brahmagupta’s formula gives the ... | 5 | [
0.060791015625,
0.060791015625,
-0.05078125,
-0.059326171875,
-0.0625,
-0.06787109375,
0.009765625,
0.072265625,
0.052734375,
-0.0546875,
0.046630859375,
0.003448486328125,
0.0106201171875,
0.0196533203125,
0.028076171875,
0.01220703125,
-0.047119140625,
0.0478515625,
0.013366699... | 6,397 | 6397 | |
Simultaneous Equation
y = 2x - 6 x^2 - xy + 2y^2 = 16
You are given y in terms of x, so directly substitute: $x^{2} - x\bold{y} + 2\bold{y}^{2} = 16$ $x^{2} - x\left(\bold{2x-6}\right) + 2\left(\bold{2x-6}\right)^{2} = 16$ Continue and solve for x.
y = 2x - 6 x^2 - xy + 2y^2 = 16 => x^2 - x (2x-6) + 2(2x-6)^2 = 16 x^... | 4 | [
0.04150390625,
0.017578125,
-0.0595703125,
-0.00665283203125,
0.03564453125,
0.0419921875,
-0.10986328125,
0.031494140625,
-0.00130462646484375,
-0.06591796875,
0.08349609375,
0.018798828125,
0.0194091796875,
-0.0142822265625,
0.00537109375,
0.1064453125,
-0.0615234375,
-0.04150390... | 6,398 | 6398 | |
Oral puzzles
Re: Oral puzzles
Re: Oral puzzles
327. 16cm
349. 12 questions
350. 121 degrees?
355. Is it 30 cm?
I'm still intermediate so I don't know many of the questions...
Blog: www.lassic.blogspot.com
Re: Oral puzzles
356. If sinθ=-12/13 and
what is secθ?
357. If
what is cosec(x)?
358. If sinx=-1/2 and x l... | 4 | [
-0.004486083984375,
-0.01226806640625,
-0.016357421875,
-0.03271484375,
-0.052490234375,
0.01287841796875,
0.06201171875,
0.044677734375,
0.004058837890625,
0.07470703125,
0.006622314453125,
-0.0947265625,
0.0164794921875,
0.056640625,
0.017333984375,
-0.10009765625,
-0.0114135742187... | 6,399 | 6399 |