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I am Rachael W. I am a Statistical Physics Assignment Expert at statisticsassignmenthelp.com. I hold a Masters in Statistics from, Massachusetts Institute of Technology, USA
I have been helping students with their homework for the past 6 years. I solve assignments related to Statistical.
Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
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We understand that you're a college student and finances can be tight. That's why we offer affordable pricing for our online statistics homework help. Your future is important to us, and we want to make sure you can achieve your degree without added financial stress. Seeking assistance with statistics homework should be simple and stress-free, and that's why we provide solutions starting from a reasonable price.
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Title of the ReportA. Partner, B. Partner, and C. Partner.docxjuliennehar
Title of the Report
A. Partner, B. Partner, and C. Partner
Abstract
The report abstract is a short summary of the report. It is usually one paragraph (100-200 words) and should include
about one or two sentences on each of the following main points:
1. Purpose of the experiment
2. Key results
3. Major points of discussion
4. Main conclusions
Tip: It may be helpful if you complete the other sections of the report before writing the abstract. You can basically
draw these four main points from them.
example: In this experiment a very important physical effect was studied by measuring the dependence of a quantity
V of the quantity X for two different sample temperatures. The experimental measurements confirmed the quadratic
dependence V = kX2 predicted by Someone’s first law. The value of the mystery parameter k = 15.4 ± 0.5 s was
extracted from the fit. This value is not consistent with the theoretically predicted ktheory = 17.34 s. This discrepancy
is attributed to low efficiency of the V -detector.
1. Introduction
This section is also often referred to as the purpose or
plan. It includes two main categories:
Purpose: It usually is expressed in one or two sen-
tences that include the main method used for accomplish-
ing the purpose of the experiment.
Ex: The purpose of the experiment was to determine
the mass of an ion using the mass spectrometer.
Background and theory: related to the experiment.
This includes explanations of theories, methods or equa-
tions used, etc.; for the example above, you might want to
explain the theory behind mass spectrometer and a short
description about the process and setup you used in the
experiment. It is important to remember that report needs
to be as straightforward as possible. You should comprise
only as much information as needed for the reader to un-
derstand the purpose and methods. Your should also pro-
vide additional information such as a hypothesis (what is
expected to happen in the experiment based on the theory)
or safety information. The main focus of the introduction
mainly focuses on supporting the reader to understand the
purpose, methods, and reasons for these particular meth-
ods.Purpose of the experiment
Example:
Calculation of the pressure coefficient Cp
From the lectures notes, Cp can be obtained by the eq.
(1)
− Cp =
P − P∞
1
2 ∗ ρ ∗ U2∞
(1)
Where P and P∞ are respectively the local pressure and
the atmosphere pressure far away. U∞ is the wind velocity
Preprint submitted to supervisor March 4, 2020
of the wind tunnel.
Calculation of the lift coefficient CL
First, the expression for the pressure force acting nor-
mal to the chord line is given in the lecture notes as eq.(2),
Cn =
∮
Cp(−n̂ ∗ ŷ)dl, (2)
with Cp the coefficient of lift and n̂ the unit normal
vector pointing out of the surface, ŷ is the unit vector in
the direction normal to the chord line. dl is the length of an
infinitesimal line element. Similarly, the axial component
can be express as eq.(3)
Ca ...
For High National Diploma in Civil Engineering Program (Edexcel) in Srilanka.
Answers are given according to the task. Ideas and principles of hydraulics you may understand via given problems solving,
.
Leave your comment below.
Thank you
Chatty Kathy - UNC Bootcamp Final Project Presentation - Final Version - 5.23...John Andrews
SlideShare Description for "Chatty Kathy - UNC Bootcamp Final Project Presentation"
Title: Chatty Kathy: Enhancing Physical Activity Among Older Adults
Description:
Discover how Chatty Kathy, an innovative project developed at the UNC Bootcamp, aims to tackle the challenge of low physical activity among older adults. Our AI-driven solution uses peer interaction to boost and sustain exercise levels, significantly improving health outcomes. This presentation covers our problem statement, the rationale behind Chatty Kathy, synthetic data and persona creation, model performance metrics, a visual demonstration of the project, and potential future developments. Join us for an insightful Q&A session to explore the potential of this groundbreaking project.
Project Team: Jay Requarth, Jana Avery, John Andrews, Dr. Dick Davis II, Nee Buntoum, Nam Yeongjin & Mat Nicholas
We understand that you're a college student and finances can be tight. That's why we offer affordable pricing for our online statistics homework help. Your future is important to us, and we want to make sure you can achieve your degree without added financial stress. Seeking assistance with statistics homework should be simple and stress-free, and that's why we provide solutions starting from a reasonable price.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call +1 (315) 557-6473 for assistance with Statistics Homework.
if you are struggling with your Multiple Linear Regression homework, do not hesitate to seek help from our statistics homework help experts. We are here to guide you through the process and ensure that you understand the concept and the steps involved in performing the analysis. Contact us today and let us help you ace your Multiple Linear Regression homework!
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call +1 (315) 557-6473 for assistance with Statistics Homework.
Title of the ReportA. Partner, B. Partner, and C. Partner.docxjuliennehar
Title of the Report
A. Partner, B. Partner, and C. Partner
Abstract
The report abstract is a short summary of the report. It is usually one paragraph (100-200 words) and should include
about one or two sentences on each of the following main points:
1. Purpose of the experiment
2. Key results
3. Major points of discussion
4. Main conclusions
Tip: It may be helpful if you complete the other sections of the report before writing the abstract. You can basically
draw these four main points from them.
example: In this experiment a very important physical effect was studied by measuring the dependence of a quantity
V of the quantity X for two different sample temperatures. The experimental measurements confirmed the quadratic
dependence V = kX2 predicted by Someone’s first law. The value of the mystery parameter k = 15.4 ± 0.5 s was
extracted from the fit. This value is not consistent with the theoretically predicted ktheory = 17.34 s. This discrepancy
is attributed to low efficiency of the V -detector.
1. Introduction
This section is also often referred to as the purpose or
plan. It includes two main categories:
Purpose: It usually is expressed in one or two sen-
tences that include the main method used for accomplish-
ing the purpose of the experiment.
Ex: The purpose of the experiment was to determine
the mass of an ion using the mass spectrometer.
Background and theory: related to the experiment.
This includes explanations of theories, methods or equa-
tions used, etc.; for the example above, you might want to
explain the theory behind mass spectrometer and a short
description about the process and setup you used in the
experiment. It is important to remember that report needs
to be as straightforward as possible. You should comprise
only as much information as needed for the reader to un-
derstand the purpose and methods. Your should also pro-
vide additional information such as a hypothesis (what is
expected to happen in the experiment based on the theory)
or safety information. The main focus of the introduction
mainly focuses on supporting the reader to understand the
purpose, methods, and reasons for these particular meth-
ods.Purpose of the experiment
Example:
Calculation of the pressure coefficient Cp
From the lectures notes, Cp can be obtained by the eq.
(1)
− Cp =
P − P∞
1
2 ∗ ρ ∗ U2∞
(1)
Where P and P∞ are respectively the local pressure and
the atmosphere pressure far away. U∞ is the wind velocity
Preprint submitted to supervisor March 4, 2020
of the wind tunnel.
Calculation of the lift coefficient CL
First, the expression for the pressure force acting nor-
mal to the chord line is given in the lecture notes as eq.(2),
Cn =
∮
Cp(−n̂ ∗ ŷ)dl, (2)
with Cp the coefficient of lift and n̂ the unit normal
vector pointing out of the surface, ŷ is the unit vector in
the direction normal to the chord line. dl is the length of an
infinitesimal line element. Similarly, the axial component
can be express as eq.(3)
Ca ...
For High National Diploma in Civil Engineering Program (Edexcel) in Srilanka.
Answers are given according to the task. Ideas and principles of hydraulics you may understand via given problems solving,
.
Leave your comment below.
Thank you
Chatty Kathy - UNC Bootcamp Final Project Presentation - Final Version - 5.23...John Andrews
SlideShare Description for "Chatty Kathy - UNC Bootcamp Final Project Presentation"
Title: Chatty Kathy: Enhancing Physical Activity Among Older Adults
Description:
Discover how Chatty Kathy, an innovative project developed at the UNC Bootcamp, aims to tackle the challenge of low physical activity among older adults. Our AI-driven solution uses peer interaction to boost and sustain exercise levels, significantly improving health outcomes. This presentation covers our problem statement, the rationale behind Chatty Kathy, synthetic data and persona creation, model performance metrics, a visual demonstration of the project, and potential future developments. Join us for an insightful Q&A session to explore the potential of this groundbreaking project.
Project Team: Jay Requarth, Jana Avery, John Andrews, Dr. Dick Davis II, Nee Buntoum, Nam Yeongjin & Mat Nicholas
06-04-2024 - NYC Tech Week - Discussion on Vector Databases, Unstructured Data and AI
Round table discussion of vector databases, unstructured data, ai, big data, real-time, robots and Milvus.
A lively discussion with NJ Gen AI Meetup Lead, Prasad and Procure.FYI's Co-Found
Levelwise PageRank with Loop-Based Dead End Handling Strategy : SHORT REPORT ...Subhajit Sahu
Abstract — Levelwise PageRank is an alternative method of PageRank computation which decomposes the input graph into a directed acyclic block-graph of strongly connected components, and processes them in topological order, one level at a time. This enables calculation for ranks in a distributed fashion without per-iteration communication, unlike the standard method where all vertices are processed in each iteration. It however comes with a precondition of the absence of dead ends in the input graph. Here, the native non-distributed performance of Levelwise PageRank was compared against Monolithic PageRank on a CPU as well as a GPU. To ensure a fair comparison, Monolithic PageRank was also performed on a graph where vertices were split by components. Results indicate that Levelwise PageRank is about as fast as Monolithic PageRank on the CPU, but quite a bit slower on the GPU. Slowdown on the GPU is likely caused by a large submission of small workloads, and expected to be non-issue when the computation is performed on massive graphs.
1. Tom Aage Jelmert
NTNU
Department of Petroleum Engineering
and Applied Geophysics
1
THE PRESSURE DERIVATIVE
The pressure derivative has important diagnostic properties. It is also important for
making type curve analysis more reliable. The field curves may be matched against
two type curves rather than one. The logarithmic pressure derivative has the
advantage of being dimensionwise consistent with pressure. Hence they may be
displayed in the same coordinate system.
Drawdown
During radial flow the following equation applies:
+
+
=
∆ S
r
c
kt
kh
B
q
p
w
t
wf 2
809
.
0
ln
4 2
ϕµ
π
µ
The above equation will show up as a straight line on a wf
p
∆ versus ln t plot. This
implies that the logarithmic pressure derivative will be constant.
t
d
p
d wf
ln
∆
=
kh
B
q
π
µ
4
The above equation will show up as a horizontal line in any coordinate system. By use
of the chain rule the logarithmic derivative may be expressed in terms of the time
derivative:
dt
p
d
t
t
d
p
d wf
wf ∆
=
∆
ln
During the wellbore storage period storage period the following equation applies:
s
wf
C
qBt
p =
∆
The logarithmic derivative becomes:
s
wf
C
qBt
t
d
p
d
=
∆
ln
which is the same right hand side as for the pressure difference, ∆p.
Flow period diagnostics is best done in a log-log coordinate system. Taking the
logarithm on both sides of the above equation yields:
2. Tom Aage Jelmert THE PRESSURE DERIVATIVE 2
[ ]
t
C
qB
p
s
wf log
log
'
log ln
+
=
∆
The above equation will show up as a straight line with slope one.
Wellbore storage followed by radial flow has a characteristic shape on diagnostic (log
– log) plot which is shown below.
Figure 1: Pressure and pressure derivative diagnostic plot for drawdown
This example illustrates the diagnostic properties of the pressure derivative. The
wellbore storage may be recognized as a straight line with unit slope and the radial
flow period will show up as a horizontal line.
Buildup
The dimensionless pressure change for build up is:
( ) ( ) ( )
DBU D D D D D D D
p p t p t t p t
= ∆ − + ∆ +
Suppose there are two simultaneous radial flow periods. Then the buildup may be
described by the modified Horner equation
)
2
809
.
0
)
(
(ln
4 2
S
t
t
r
c
t
kt
kh
B
q
p
p
w
t
p
BU +
+
∆
+
∆
=
∆
ϕµ
π
µ
where wf
ws
BU p
p
p −
=
∆ . The pressure difference is illustrated below. Note that pwf is
the last recorded flowing pressure.
3. Tom Aage Jelmert THE PRESSURE DERIVATIVE 3
Figure 2: The development of ∆PBU with time.
One may define an equivalent time:
t
t
t
t
t
p
p
e
∆
+
∆
=
∆
Substitution of the equivalent time into the buildup equation yields:
)
2
809
.
0
(ln
4 2
S
r
c
t
k
kh
B
q
p
w
t
e
BU +
+
∆
=
∆
ϕµ
π
µ
Observe that the above equation has the same appearance as the corresponding
drawdown equation. The pressure derivative becomes:
kh
B
q
t
d
dp
e
w
π
µ
4
ln
=
∆
which will plot like a horizontal line.
Immediately after the well has been closed, fluid will continue to flow into the well.
This phenomenon has been called afterflow. From the definition of equivalent time,
we conclude that for small values of shutin time, there is essentially no difference
between the shutin time, ∆t, and equivalent time, ∆te,. Hence:
∆te =∆t
4. Tom Aage Jelmert THE PRESSURE DERIVATIVE 4
Suppose the well was closed during a radial flow period. Then the dimensionless
buildup equation during afterflow will simplify to:
1
ln
2
pD D
D
DBU
sD pD
t t
t
p
C t
+ ∆
∆
= −
Note that the latter term is essentially be zero for small values of ∆t. Hence the
buildup equation during afterflow is the same as for wellbore storage during a
drawdown test.
D
DBU
SD
t
p
C
∆
=
The equivalent dimensional equation becomes:
BU
S
qB
p t
C
∆ = ∆
The above equation will show up as a straight line with unit slope on a log-log plot.
The diagnostic plot for a transition from afterflow to radial flow is shown below.
Figure 3: The buildup diagnostic plot has the same appearance as for drawdown.
For an old well, the condition that shutin time is small in comparison with the
production time is valid during the entire test, then the buildup equation will simplify
to:
+
+
∆
=
∆ s
r
c
t
k
kh
B
q
p
w
t
BU 2
809
.
0
ln
4 2
ϕµ
π
µ
5. Tom Aage Jelmert THE PRESSURE DERIVATIVE 5
The transition between wellbore storage and radial flow will show up as the previous
curves when plotted against the shutin time ∆t.
Figure 4: Pressure and pressure derivative for buildup in an old well, t>> ∆ t
Derivation algorithm
A derivative is usually approximated by a finite difference quotient. As such it is
sensitive to noise. Some smoothing may be necessary to filter out high frequency
noise.
Most numerical filters depend on an even sampling rate. This is rarely the case in well
testing. For a non-even spacing between sampled the points, the derivative may be
approximated by the slope of a least square line through neigbouring points. All
points in the interval contribute to the computed derivative.
6. Tom Aage Jelmert THE PRESSURE DERIVATIVE 6
Figure 5: Schematic of a 7 point least square filter
An alternative algorithm uses three points only, the point of interest, one to the left
and one to the right.
Figure 6: Schematic of a derivation algorithm
The derivative is approximated as the weighted average between the left and right
hand slopes.
2
1
1
2
2
2
1
1
x
x
x
x
p
x
x
p
dx
p
d
i ∆
+
∆
∆
∆
∆
+
∆
∆
∆
=
∆
7. Tom Aage Jelmert THE PRESSURE DERIVATIVE 7
A smaller difference, ∆x, on the horizontal axis leads to a better approximation of the
derivative. Hence the highest weight factor is applied to the finite difference quotient
with the smallest difference ∆x.
It is recommended to start with consecutive points. If the degree of noise is
unacceptable, then the distances ∆x1 and ∆x2 have to be increased. The points 1 and 2
are selected as the first points such that
∆x1, ∆x2 ≥ L
If x = ln ∆te , then
L
t
t
i
≥
2
ln .
and
L
t
ti
≥
1
ln
L has been called the smoothing parameter. The degree of smoothing will increase
with increasing smoothing parameter. On the other hand, the accuracy of the
derivative approximation will decrease. Hence L should be kept as small as possible.
Experience has shown that L ≈ 0.2 is often a natural choice.
Any derivation algorithm has a problem near the ends of the interval. The calculation
scheme is then running out of points. This phenomenon has been called the end effect
of the pressure derivative. These regions have to be treated separately. One solution is
to reduce the smoothing parameter close to the ends of the intervals.