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7
Total cost curve (TC) – The total cost curve begins on the horizontal line of
the fixed cost curve (FC) because at zero units, the only costs are the fixed
costs. It then slopes upwards to the right. It has the same shape as t he VC
curve.
TEST YOUR KNOWLEDGE
1.1 Give one word/term for the following ... |
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8
TABLE 2
Quantity
(Q) Fixed
Cost
(FC) Variable
Cost
(VC) Total
Costs (TC)
= FC + VC AFC=
FC÷Q
AVC=
VC÷Q ATC=
TC÷Q MC=
ΔTC ÷
ΔQ
0 10 0 10
1 10 4 14 10 4 14 4
2 10 6 16 5 3 8 2
3 10 10 20 3,3 3,3 6,6 4
4 10 16 26 2,5 4 6,5 6
5 10 30 40 2 6 8 14
6 10 45 55 1,7 7,5 9,2 15
Figure 2 ... |
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9
A long run cost curve is created by putting together all short run co st curves over the time
period.
Figure 3
How do you differentiate between a short run and long run curve s?
Long run cost curves are ‘flatter ’ than short run c ost curves.
Example, the shape of the short – run Average Cost curve... |
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10
Formula – Total revenue (TR) = Price ( P) x Quantity (Q)
The more units a business sells, the more total revenue it earns.
b) AVERAGE REVENUE (AR )
Description - Average revenue refers to the amount a firm earns for every unit sold .
Formula – Average Revenue (AR) = Total revenue (TR) ÷Quantity ( Q) ... |
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Figure 5
TAKE NOTE:
The shape of the TR curve for an imperfe ct market first increases then decrease. It
has an arch shape ( like an upside - down U) This is due to the law of demand . (What
does the Law of Demand state?) .
The AR curve of the imperfect market slopes downwards from left to right. T... |
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TEST YOUR KNOWLEDGE
1.1 Va rious options are given as correct answers. Choose the correct answer.
1.1.1 The average revenue of a firm in a perfectly competitive market is equal to its
…
A selling price.
B total cost.
... |
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2.1 Study the following graphs and answer questions that follow:
Graph 1
2.1.1 Name the curve labelled L. (1)
2.1.2 Briefly explain the term short run. (2)
2.2 Study the foll... |
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15
2.3 Study the following table and answer questions that follow:
Table 5
2.3.1 For which mar ket structure are these costs and revenues? (1)
2.3.2 Calculate the values of A –E. Show all calculations. (5) ... |
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2.4.1 Provide a suitable label for curve A. (1)
2.4.2 Explain a reason for the shape of the total revenue curve. (2)
2.5 Study the following t able and answer questions that follow:
Table 6
2.5.1 What is the effect on total revenue when margi... |
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(Source: adapted from economicsdiscussions.net )
EXPLANATION
The individual business derives its price from the market price that has been
determined by the market. (The single produce r cannot influence the market price).
This implies that a producer can sell any quantity of the good at the current m... |
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TABLE 7
Price (P) Quantity (Q) Total Revenue
(TR) - PXQ Average
Revenue
(AR)TR ÷Q Marginal
Revenue
(MR) Δ TR
÷ ΔQ
25 1 25 25 25
25 2 50 25 25
25 3 75 25 25
25 4 100 25 25
25 5 125 25 25
25 6 150 25 25
Construct a revenue table to show that D= P=AR=MR
You can use the above table to draw t he... |
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24
We can determine the optimal output of an individual business by its total revenue
(TR) and total cost (TC) curve OR by its margin al revenue (MR) and marginal cost
(MC) curve.
Profit maximising: Total revenue and total cost
Graph 7
(Photo adapted from Via Afrika Economics Grade 12 Learner’s book) ... |
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break -even points. At both points the bu siness is said to be making normal profit (to
be discussed later)
Between points A and B, the TR curve is above TC curve, indicating profit made.
We have to determine where the largest profits are made, that is where profits are
maximised.
Conclusion : A b... |
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If MR > MC, marginal profit is positive (increases) . The business will expand its output.
This is because the added ben efit of producing that extra unit is more than the added
cost of producing it. ( Go back to descriptions of Marginal Revenue and Marginal Cost)
If MR < MC, then marginal profit is neg... |
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Normal profit of an individual businesses
Graph 9 (a)
(The ticks are a guide into what is important when you are required explain normal
profit with the aid of a graph. Maximum mark for a graph is usually 4 marks and
maximum of 4 marks for the explanation )
Description of concept : Normal profit i... |
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If AC = AR, then TC = TR.
Calculation of normal profit : Remember that AC=AR and total cost is
equal to total revenue ( Normal profit is represented by 0P1eq1 and is
equal to 500)
TR = P x Q; TC = P x Q
Now substitute with the figures from the graph
Therefore: TR = (50 X 10) = 500
... |
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31
A business makes economic profit when its revenue is more than all of its costs.
Economic profits are al so known as surplus, extra, excess, supernormal profits
Economic profits do not last long under perfect competition. This is because these high
profits will attract more businesses into the same in... |
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32
Economic loss of an individu al businesses
Graph 9 (c)
A business makes an economic loss when its revenue is less than its costs.
It is usually when it is making less than normal profit.
The minimum point of the short -term average cost curve (AC) is higher than the market
price
The busin... |
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35
Since an indi vidual business is a price taker, it has to take this lower market price P2.
A new demand curve for the firm will be formed at P2 (P2 = AR2 = MR2)
If the business does an accurate cost estimate, it will recognise that, if it expands, it
will be able to pro duce at a lower cost in the long t... |
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36
The supply will decrease and the supply curve will shift to the left of the original
industry supply curve. (show this in your graph)
The market price will increase. (Show this by referring to your graph)
An individual business is a price taker and now has to take the new market
price. (Show the new ... |
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37
2. Study the graph below and answer questions that fo llow
Graph 12
2.1 Which point (label) on the graph indicates profit maximisation? (1)
2.2 Name the curve labelled L. (1)
2.3 Wh... |
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38
GRAPHIC EXPLANATION OF SHUTDOWN POINT USING COSTS AND REVENUE (FC,
VC, TC, TR , AR AND AVC)
What happens if the market price decrease s? When will the firm consider closing
down?
The firm has to make decisions regarding the level of output every time the market
price changes. ( Remember the profit ma... |
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39
able to cover all its pro duction costs. However, the business will not close down
immediately. They will introduce measures to minimise the loss.
The loss minimising rule states that when the business is no longer able to cover
all its production costs, they will reduce their leve l of output to where M... |
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40
2.4 Briefly describe the supply curve of an individual firm in this market structure. (2)
2.5 Why will a busin ess not produce to the left of point ‘g’? Economics P2 June 2019 EC (4)
3. Draw a clearly labelled graph indicating the shut -down point for the perfect competitor.
Briefly expla... |
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46
TEST YOUR KNOWLEDGE
1. Name any TWO institution created to carry out the Competition Act in South Africa.
(2x1)
2. What is the view of the competition policy on the f ormation of cartels ? (2)
3. Study the extract below and answer question that follow:
3.1 Name the Act that gives all South African... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000627.pdf | 0 | PAGE 1 S PACE COAST ASC NA MINUTES M AY 05TH, 2013
Minutes for the Space Coast Area
May 05th, 2013
The Chair opened the meeting at 2:03 pm with a moment of
silence followed by the Serenity Prayer. Th... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000627.pdf | 23 | Subcommittee ReportIDate
:<;Irjl ~
Subcommittee Name:
-A~
Chair. Name a- <-,..J!1If Mdress:
City, St., ZipII Tel.:
Vice Chair.: Address:
City, St., Zip Tel.:
Mall Minutes: Chair Vice Chair-~-
IMeeting Address:
Current activities of Committee:/'-
ion with Regional subcommittee Chairs:
here A.S.C. reimbursement is requir... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000637.pdf | 7 | Besides the NFIB survey of small businesses, there are two recent surveys of economists that also indicate
the “uncertainty” story is baseless. First, the Wall Street Journ al’srecent survey of economists (Hollander
2011) showed that “U.S. companies are reluctant to hire—but not because of uncertainty over govern-
ment... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000646.pdf | 14 | Services of the USBID
|
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|
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000646.pdf | 40 | Must drive foot traffic!
Outdoor space activation is critical
Do pilot projects
Consider long -term vision in
creating short -term strategies
Communication is important –get
the message out!Key Themes
|
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The middle section of the
mechanism is supported by
a vertical individual leg to
help carry the user’s weight.
Mechanisms explained
There are many mechanisms available on the market. However very
few of these are suitable for the contract market. Gainsborough only
use the heavy duty contract level mechanism... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000651.pdf | 13 | Canal Road, Trowbridge, Wiltshire, BA14 8RL w 01225 766341 w gainsborough-beds.co.uk
Gainsborough Contracts is a trading name of Airsprung Furniture Ltd Part of the Airsprung Group PLC |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000657.pdf | 3 | "TJBO+.BUI4UBU
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https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000674.pdf | 39 | Literaturverzeichnis Seite IV
Verlaufsplan: Einfluß von Parametern auf den Verlauf des Graphen
Zeit Inhalt Lehrertätigkeit Schülertätigkeit
9:25 Themenbekanntgabe :
• Untersuchung quadratischer Funktionen
mittels GTR;
• Einfluß von Parametern auf den Verlauf der
Graphen;
• Ausgewählte EigenschaftenThemenbekanntgabe ... |
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Arbeitsblatt (verkleinert): Parametereinfluß
Quadratische Funktionen
Def.: ________________________________ ________
________________________________ _____________
________________________________ _____________
________________________________ _____________
Sonderfall f(x) = x² f(x) = a·x² f(x) = (x + ... |
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Einige ästhetische Kurven
Die hier vorgestellten Kurven bieten sich zur Veranschaulichung mit dem GTR im
Abschnitt „Mehrdeutige Zuordnungen an“. Die Kurven, welche in algebraischer
Gleichung gegeben sind, lassen sich i.d.R. nicht auf dem Casio GTR darstellen, wohl
aber auf dem PC mittels DERIVE.
Kurv... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000677.pdf | 12 | Acces PDF Body System
Challenge Answer Sheet
The south of the Continent will be harder
hit than the north, driving a wedge into
one of the European Union’s deepest fault
lines.
Droughts, fires and floods: How climate
change will impact Europe
Page 13/31 |
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Challenge Answer Sheet
The challenge is that oftentimes those
people ... you're doing quite well because
your balance sheets have really, really
improved. And so we're actually seeing a
lot of that, but ordering a ...
Transcript: Craig Fuller on Why the
Page 29/31 |
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Code--O6
COMMERCE AND AGCOUNTANCY
Time :3 Hotu"s
Maximum Marl<s : I50
Note : Attempt.Five questions in all. All questions
carry equal marks. Q. No. I is compulsory
Answer fwo questions from Part I amd two
questions from Part II. The parts of the
sam€ question must be answered together
and must not be interposed betw... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000694.pdf | 1 | (c) What is meant by Perquisites ? What are
' tax-free perquisites ?
(d) What, in your opinion, is the most
convinbing theorY of motivation ?
Discuss the same and bring out the role
of leadership in this connection.
(e) "lnformal channels of communication are
more human and homely." Comment.
(0 "Job stress can have phy... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000714.pdf | 9 | Online Library Minimum And
Maximum Modes For 8086
Microprocessorsingle-processor systems, while the
latter is for medium or large systems
using more than one processor (a kind of
multiprocessor mode). Maximum mode
is required when using an 8087 or 8089
coprocessor. The voltage on pin 33 (MN/
MX) determine the mode. Cha... |
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So let us go to Coimbra, in Portugal, one of the world’s most famous tourist areas.
There are two separate swimming-pools in this
resort, one of which is a half-Olympic size pool of 25
m in length (photo to the right) , and is served by
2000 mm Ø single layer sand filters from a well known manufacturer ... |
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The following tables provide an eloquent summa ry of the comparison between these two filter
technologies.
COMPARISON BETWEEN CULLIGAN MULTI-LAYER FILTERS and SINGLE-LAYER FILTERS
SAND FILTERS PARAMETER
Culligan Multi-layer Single layer
Filter size 2230 x 2735 mm 2800 x 3340 mm
Daily volume of warm wa... |
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8 August 2016
Change 6, 6 May 2021
76
The separation distance between other equipment (including adjacent
transformers) must be as indicated in Table 4-5.
When fire barriers are utilized, comply with the following:
a. Barriers must be of concrete block or reinforced concrete construction
adeq... |
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8 August 2016
Change 6, 6 May 2021
79
Grouping: Pods separated by less than 4 feet (1.2 m) are considered a
group. The size of the group will be determined by the area of the pods, plus the area
between the pods. A group of pods having a total area less than 75 ft2 (7.0 m2) will follow
the req... |
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8 August 2016
Change 6, 6 May 2021
130
Detectors must be located in each room/space where the fuel burning
appliances(s) are located.
\2\Where HVAC equipment utilizes fuel burning equipment, one detector
must be located downstream of the fuel burning equipment ./2/
\3\For large open spaces wi... |
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8 August 2016
Change 6, 6 May 2021
135
Maximum occupant load.
The maximum occupant load for any space or Facility must not exceed one person per
7 ft2 (0.65 m²) of net floor space or the maximum capacity of the required egress
components , whichever is les s.
10-4 STAIR TO ROOF ACCESS .
Sta... |
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Organizational Behaviour
Colquitt 2nd Canadian
EditionOrganizational behaviour books
(Download pdf) What is Organizational
Behavior? Custom Organizational
Behaviour Colquitt 2nd
Download File PDF Organizational
Behaviour 2nd Edition By Colquitt The
print version of this textbook is ISBN:
9781292016... |
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Family Eye Pledge Form
In the hope that we may help others, we hereby make this anatomical gift of eyes effective after my /
our death for Transplantation, Research and Education.
Sl. No. NAME IN BLOCK LETTERS Age Sex Reltionship Signature
1
2 ... |
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⑨ 定期貯金... |
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24/10/2002 · Calculus for the Life Sciences [with Student Solutions
Manual] by. Raymond N. Greenwell, Nathan P. Ritchey, Margaret
L. Lial. 4.53 · Rating details · 15 ratings · 0 reviews. This package
contains the following components: -0201745828: Calculus with
Applications for the Life Sciences... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000777.pdf | 1 | Teachers
Indicator Teachers
Teachers with full credential 21
Teachers without full credential 0
Teachers Teaching Outside Subject Area of Competence 1
Misassignments of Teachers of English Learners 0
Total Teacher Misassignments 1
Student Performance
Subject Students Proficient and Above on STAR* Program R... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000792.pdf | 3 | (a) The appeal of final grades or an undergraduate program action must be initiated
within ninety (90) calendar days of the final grade being posted or of the
undergraduate program action being taken.
(b) All student appeals of grades or undergraduate program actions must first be
addressed by the person or progr... |
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Electrical test of an active detection loop Page 2 of 2 Date: 26 -5-2010
Version: 1 www.mylaps.com
2. Coax cable
Before measuring:
Disconnect the coax cable from the decoder
Set the multi meter to measure Ω (Ohm)
If another value is measured, the connection box with activator is faulty. Repla... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000809.pdf | 1 | ??4242œœœœ!Allegro Moderato q = 82fœœœœœ!œœœœ!œœœœ!œœœœœ!œœœ#œœœœ!??7œœœœœœœœjœœ‰jœœ‰œœœœœœœœ^jœœ‰‰jœœ^œœœœœœœœœœœœœœœœFœœœœJœœ‰œœœœjœœ‰œœœœ#œœœœ#œœœœœœœœ?? °*13œœœœœœœœœœœœœœœœœœœœœœœœœœœœœœ#œœœœœœœœjœœ##‰jœœ‰‰jœœœ.œ‰jœœœ..œœœœœœœœœœœœœœœœœœœœœœJœœ‰œœœœjœœ‰??.... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000809.pdf | 2 | &?4242œœœœœœœœAllegro Moderato q = 82fœœœœœœœœœœœœœœœœœœœœœœœœœœ&œœœœœœœœœœœœœ#œœœœœœœ#œœœœ&&!7œœ#œœœœ#œœœœ#œœœœ#œœœœ#œœJœ‰œœ#œœJœ‰œœœœœœœœœœœœœœœœœœœœœœœœœœFœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœ&&13œœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœœ#œœœœœœœœ#œœœœœ.œ>‰‰Jœœbœœœ.œ>‰‰Jœœbœœœœœœœœœœœœœœœœœœœœœœ... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000810.pdf | 1 | Page 2 of 2
(April 7 , 2021 Regular Meeting )
Roll Call Vote: MAFreeland ( ) WS tewartJr ( ) KAB egay Jr ( ) TWalkerJr ( ) HMDaniels ( ) Rickie Nez ( )
B. LEGISLATION # 0054 -21: AN ACTION RELATING TO THE R ESOURCES
AND DEVELOPMENT COMMIT TEE AND THE BUDGET AND FINANCE
COMMITTEE; ACCEPTING THE S P... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000826.pdf | 157 | Symboler
(Mac) = (Win) Ctrl 16
A
A 41
Acrobat 43Adobe Digital Publishing Suite 102
Alternativ för textramar 77
Anfang 59Animation 85Ansvällning 49Arkföljd 43
Arkiv 14
Artikel 99Asymmetri 109Attribut 105Automatiska urklippsbanor 156
Automatisk sidnumrering 65
Avsnittsnamn 65, 69, 114Avstavning 51Avsta... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000828.pdf | 69 | %!cf}+ a}+s lbj;40
4. empirical Results and Discussion
4.1 Robustness Checks
A number of robustness checks have been run to test the baseline specification. A normality test is performed to
determine whether the dependent variable is normally distributed or not. The histogram of the residuals plotted from the empiri... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000828.pdf | 70 | a}+s ;dfrf/ ljz]iffª\s
41
the variables are not stationary in level but all of them are stationary in first difference (same order). Therefore,
no further differencing of the data or unit root testing is required as the series are found to be stationary at first difference.
When all of the individual time-series var... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000828.pdf | 76 | a}+s ;dfrf/ ljz]iffª\s
47
Principle of Non-attachment
The person who is involved in one process of
secret job, is not permitted to do another stage of the same process. This rule is equally applied for the experts, subject specialists, division heads, section heads and other staff as well.
Principle of Central Tenden... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000828.pdf | 120 | a}+s ;dfrf/ ljz]iffª\s
91
Exchange Rate and
its Determination
n Bam Bahadur Mishra
Foreign exchange
In today’s world, most of the countries have their
own currency. The trade within the single country is conducted by using the currency of that particular country. But due to interdependence in trade, almost all the c... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000833.pdf | 0 | Fixformate
Bruttopreise sw 4-farbig
2/1 Seite 7 430.– 8 685.–
1/1 Seite 3 380.– 3 950.–
1/2 Seite 1 690.– 2 370.–
Individuelle Formate
mm-Grundpreis sw 4-farbig
Annoncen ( Vereinsveranstaltungen 10 % Rabatt ) 0.85 1.21
Immobilien 0.96 1.29
Stellenangebote* 0.96 1.29
S... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 0 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 1 of 12
Journal of Computer-Generated Euclidean Geometry
Symmedian Point
Deko Dekov
Abstract. By using the computer program "Machine for Questions and Answers", we
find properties of the Symmedian Poin... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 1 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 2 of 12 Symmedian Point = Center of the Second Droz-Farny Circle of the First Cosine-Tucker
Triangle.
Symmedian Point = Center of the Circumcircle of the Second Cosine-Tucker Triangle.
Symmedian Point = Center of t... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 2 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 3 of 12 Center and the Symmedian Point.
Symmedian Point = Reflection of the Mittenpunk t in the Midpoint of the Mittenpunkt and
the Symmedian Point.
Symmedian Point = Reflection of the Spieker Center in the Midpoin... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 3 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 4 of 12 Symmedian Point = Product of the Third Power Point and the Isotomic Conjugate of the
Symmedian Point.
Symmedian Point = Product of the Congruent Isoscelizers Point and the Perspector of
Triangle ABC and the ... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 4 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 5 of 12 Internal Center of Simili tude of the Incircle and the Circumcircle.
Symmedian Point = Perspector of the Medial Triangle and the Anticevian Triangle of the
Circumcenter.
Symmedian Point = Perspector of the ... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 5 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 6 of 12 Prespector and the First Apollonius-Kiepert Triangle.
Symmedian Point = Perspector of the Antipedal Triangle of the Circumcenter and the
Circumcevian Triangle of the Symmedian Point.
Symmedian Point = Persp... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 6 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 7 of 12 Symmedian Point = Perspector of Triangle ABC and the Outer Apollonius Triangle of the
Lucas Circles of the Second Brocard Triangle.
Symmedian Point = Isogonal Conjugate of the Centroid.
Symmedian Point = Iso... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 7 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 8 of 12 The Symmedian Point lies on the Brocard Circle.
The Symmedian Point lies on the Orthocentroidal Circle of the Pedal Triangle of the
Symmedian Point.
The Symmedian Point lies on the Parry Circle of the Pedal... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 8 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 9 of 12 The Symmedian Point lies on the Brocard Circle of the First Taylor-Tucker Triangle.
The Symmedian Point lies on the Brocard Circle of the Second Taylor-Tucker Triangle.
The Symmedian Point lies on the Brocar... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 9 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 10 of 12 The Symmedian Point lies on the Line through the Inner Fermat Point and the Outer Fermat
Point.
The Symmedian Point lies on the Line through the Inner Fermat Point and the Kiepert
Center.
The Symmedian Po... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000835.pdf | 10 | Journal of Computer-Generated Euclidean Geometry 2007 No 11 Page 11 of 12 The Symmedian Point lies on the Line through the Internal Center of Similitude of the
Incircle and the Circumcircle and the Second Power Point.
The Symmedian Point lies on the Line through the Isogonal Conju... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000841.pdf | 20 | 216,0 m kg *1.340 *1.340 *1.870 *1.870 *2.670 *2.670
4,5 m kg *1.250 *1.250 *1.600 1.430 *2.680 1.950 *2.840 *2.840
3,0 m kg *1.250 1.170 2.250 1.400 2.950 1.870 *3.760 3.090 *3.740 *3.740
1,5 m kg *1.330 1.090 2.180 1.340 2.830 1.760 4.580 2.840 *7.560 5.4400,0 m kg *1.500 1.100 2.120 1.280 2.720 1.660 4.330 2.620 *6.... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000847.pdf | 2 | Fiche : 329
3/4
♥
Les fonctions - Correction -
Exercice 1 : Traduis chaque phrase par une égalité
:
g est une fonction qui à -9 associe 4.72. :
g(-9) = 4.72
12.08 est l'image de -4 par la fonction H. :
H(-4) = 12.08
4.86 a pour antécédent -10 par la fonction K. :
K(-10) = 4.86
-3 a pou... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000849.pdf | 4 | 6— THE OFFICE —
7SPACE TO FEEL COMFORTABLY YOU
THE
LIVING
ROOMA S PA C E F O R G AT H E R I N G FA M I LY A N D F R I E N D S , F O R C O N T E M P L AT I O N A N D R E L A X AT I O N :
T H E L I V I N G R O O M I S T H E H E A R T O F T H E H O M E . E V E R Y C O R N E R H A S A D I F F E R E... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000849.pdf | 5 | 8 9— THE OFFICE — — THE LIVING ROOM —
STONE CANDLE HOLDER
Invite organic, earth-inspired shapes into your home with our Stone Candle Holders.
Formed after the rough stone of a mountainside, the candle holder is made from
casted metal and has a matte finish that compliments its jagged silhouette.
Based on the same e... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000849.pdf | 26 | 50 51–– THE KITCHEN ––
ALZA ICE BUCKET
Modern and simple yet with a hint of extravagance, the Alza Ice
Bucket is a decadently elegant accessory at parties. Complete with a matte brass lid, the solid marble bowl will keep your ice cubes chilled throughout the night. Use it together with the Fein Ice Spoon, which can ha... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000855.pdf | 1 | of our proposed algorithm in comparison to other vector
based approaches.
We summarize the advantages of our algorithm, Dis-
criminant Analysis with Tensor Representation (DATER),
as follows:
1) DATER is a general supervised dimensionality re-
duction framework. It can avoid the curse of dimensional-
ity dilemma ... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000855.pdf | 2 | 2.2. k-mode Cluster-based Discriminant Analysis
Before describing the iterative approach to optimizing
the Discriminant Tensor Criterion , we introduce the k-
mode cluster-based Discriminant Analysis approach,
which optimizes the objective function from the k-th di-
mension of the n-th order tensor. We also provid... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000855.pdf | 3 | *
,, ,,
1
1
,, ,,
1
1()
()
,( ) ( )
,( ) ( )k
c o
ok
o
ok
iikU
N m
j j kj kj kj kj
BB B c c c j
c
N m
j j kj kj kj kj
WW W i c i c j
iBkk
WkkTr U S U
Tr U S UUa r g m a x
SS S n X X X X
SS S X X X X≠
≠Τ
=
=
Τ
=
=Τ
Τ
==
===
∏
−−
∏
−−∑∑
∑∑(5)
where, for the ease of presentation,,kj
iXrepresents the j-th
column vector of... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000855.pdf | 4 | We show that DATER with higher-order tensors is supe-
rior to LDA in many aspects.
Singularity and Curse of dimensionality . In LDA, the
size of the scatter matrices are11nn
kk kkmm==× ∏∏ if a ten-
sor is transformed into a vector. It is often the case that
1n
c k kNN m=−< ∏ for a moderate data set. Thus in many... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000861.pdf | 11 | Page 6 of 37
Total Performance Fee = Outperformance per Share x Average number of Shares in issue during the accounting year x
15%;
where:
Outperformance per Share = Outperformance of the Net Asset Value per Share over the greater of the High Water Mark or
the Target Net Asset Value per Share (i.e. hypothetical Net ... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000865.pdf | 2 | 3
Chemical Propulsion vs Electric Propulsion
•How does Electric Propulsion compare with Chemical Propulsion?
ℳ
𝑣𝑒𝑥 𝑚𝑎𝑥= 2𝛾𝑅0𝑇𝑐
𝛾−1 ℳ
Chemical propulsion fundamentally relies on the nozzle expansion of a gas:
Considering 1 -D isentropic compressible flow:
Max. exhaust velocity
(into vacuum)
R0= universal g... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000865.pdf | 13 | 14
•Mars Sample Return –Earth Return OrbiterMission Applications: Science & Exploration
Solar Electric Propulsion isconsidered fortheoutbound andreturn cruise phases
andorbit lowering/raising atMars.
MAV launch viewable
from Mars
EP Subsystem
3 x EP chains + 1 redundant
Utilising 7.5kW RIT thrusters
Each thruster:
0... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000867.pdf | 2 | D. Bertsimas et al./Operations Research Letters 24 (1999) 105{114 107
Fig. 1. Geometry of the randomization algorithm.
formulated as follows:
minimizeX
(u;v)2Ec(u;v)x(u;v)
subjecttox(u;v)>y(u)−y(v);(u;v)2E;
x(u;v)>y(v)−y(u);(u;v)2E;
y(s)=1;y(t)=0;
y(u);x(u;v)2f0;1g:
Theorem 1.ZIP=ZLP:
Proof.Givenafractionaloptimalsolut... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000867.pdf | 3 | 108 D. Bertsimas et al./Operations Research Letters 24 (1999) 105{114
2.2. Boolean optimization
The quadratic optimization problem is to
minimizeX
i;jQijxixj+X
icixi
subjecttoxi2f0;1g:
When theQijare arbitrary, the problem is NP-hard. Several researchers have thus focused on identifying
properties of Qijthat allow the ... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000867.pdf | 4 | D. Bertsimas et al./Operations Research Letters 24 (1999) 105{114 109
2.3. Uncapacitated lot-sizing
Givenatimehorizon T,setupcostsdi(i=1;:::;T)andproduction-inventorycosts cij(indicatingthecost
ofproducingaunitinperiod itosatisfyaunitofdemandinperiod j),thegoaloftheuncapacitatedlot-sizing
problem is to nd a production... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000867.pdf | 5 | 110 D. Bertsimas et al./Operations Research Letters 24 (1999) 105{114
We prove by induction that P(yi=1)=yi:ClearlyP(y1=1)=y1=1. Moreover,
P(yi=1)=X
k<iP(yi=1;yi−1=0;:::;yk+1=0;yk=1)
=X
k<iP(yi=1;yi−1=0;:::;yk+1=0jyk=1)P(yk=1)
=X
k<iP(wk;i−1>Uk>wk;i)yk
=X
k<i(wk;i−1−wk;i)=wi;i=yi:
In addition,P(wi;j=1)=P(wi;j=... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000867.pdf | 6 | D. Bertsimas et al./Operations Research Letters 24 (1999) 105{114 111
Note that the optimal solution xcan be computed from y:
xi;ij=8
>>><
>>>:min8
<
:yij;1−X
l:l<jyil9
=
;ifX
l:l<jyil<1;
0 otherwise :
On the other hand,
P(xi;ij=1)=P(S\Iij6=;;S\Iil=;8l<j)
=8
>>><
>>>:min8
<
:yij;1−X
l:l<jyil9
=
;ifX
l:l<jyil<1;
0 other... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000867.pdf | 7 | 112 D. Bertsimas et al./Operations Research Letters 24 (1999) 105{114
The randomized rounding algorithm is as follows:
Starting with an optimal solution of the LP relaxation ( x;y), position the nodes in [0 ;1] according to the
value ofy(u).
Generate a single random variable Uuniformly distributed in [1
2;1]. Round a... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000876.pdf | 0 | UCAS
Submission
to
Select
Committee
Inquiry
into
under-‐achievement
in
education
by
white
working
class
children
Executive
Summary
UCAS
believes
that
tackling
the
issue
of
educational
disadvantage
must
extend
beyond
the
schoo... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000876.pdf | 1 | Why
UCAS
wishes
to
submit
evidence
to
this
Committee?
5. UCAS
recognises
that
there
are
a
multitude
of
factors
which
contribute
to
under-‐achievement
in
education
by
white
working
class
children,
and
that
there
... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000876.pdf | 3 | Ethnicity
15. The
analysis
in
the
UCAS
2013
Demand
Report
3
is
extended
within
the
report
to
consider
application
rates
by
POLAR2
to
Higher
Tariff
Institutions
(Fig.23)
and
also
by
the
ethnicity
of
those
in... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000876.pdf | 4 | White
and
Other
ethnic
groups
have
application
rates
in
a
relatively
narrow
range
in
2013
between
29%
(White)
and
34%
(Black).
The
largest
increase
in
application
rates
across
the
period,
and
the
largest
increase
in
... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000876.pdf | 5 | Total
42%
58%
Does
the
qualification
type
impact
on
application
and
entry
rates
to
Higher
Education?
23. Additional
data
that
the
Committee
may
want
to
consider
is
the
qualification
type
held
by
applicants
and
... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000876.pdf | 7 | option-‐limiting
decisions
at
Key
Stage
4
and
5.
To
help
achieve
this,
transparent
information,
advice
and
guidance
are
key,
extending
to
pupils,
teachers,
advisers
and
parents.
37. Through
the
evidence
we
have
gathere... |
https://digitalcorpora.s3.amazonaws.com/corpora/files/CC-MAIN-2021-31-PDF-UNTRUNCATED/zipfiles/0000-0999/0000.zip | 0000886.pdf | 1 |
16 bogs remain pristine only on the western bank of th e lake
where a reservation was established. Such a complex use
of the lake and its catchment causes conflicts rela ted to
nature. Finding a solution needs objective studies of the
lake state and evaluation of various factors influe ncing
changes.
Fig. c... |
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