... standard ruler and a standard clock along the orbit ofthe particle.But when the ruler and clock move along the orbit in the gravitational field, the length of ruler and rate ofthe clock vary ... TOTHE METRIC TENSOR OF SPACE-TIME WITH THE PRESENT OFTHE GRAVITATIONAL FIELD In this section, we introduce anapproachtothe Schwarzschild metric tensor, it is similar toanapproach from the ... etalons, then we convert measured results at each point with its etalons into measured results with the standard etalon is the synchronizing ofthe rulers andthe clocks as the synchronizing of clocks...
... students took the oral test of module with the same format and criteria as the previous ones, and with most ofthe same examiners However, during the module, the scores ofthe students (the 10% ofthe ... averaging the score on their test andthe average of their three group-mates‟ scores (For example, if a student gets the score of 7, andthe three other students get 4, 5, (the average of 5), then the ... although the frequency of students varies due tothe topic ofthe lessons andthe tasks or the activities, the participation in pre- and post-activities as being shown in the tables and charts...
... V.Fock, The Theory of Space, Time, and Gravitation, trans By N.N Kemmer, 2nd rev.ed., Macmilan, New York, 1964 [5] S.Weinberg, Gravitation and Cosmology: Principles and Applications of General Theory ... Acknowledgements: We extend our thanks tothe professors in laboratory of theoretical physics of University of Natural Sciences, VNU-HCM, especially tothe professor NGUYEN NGOC GIAO for helpful ... respect tothe background gravitational potential font” of universe ϕg0 Whether this font is just the absolute space of Newton”! However the background font is not actually absolute but vanishes...
... and CT scan findings when performed, severity of haemoptysis, and pre-ICU and in-ICU management The persistence or recurrence of bleeding, the patients' ICU and hospital lengths of stay and their ... confirm the safety andthe reproducibility of such a therapeutic approach; this approach may also be influenced by the use ofthe multi detector row helical CT scan, which can depict accurately the ... interests 16 Financial support 17 None Authors' contributions 18 Dr Fartoukh had full access tothe data and takes responsibility for the integrity ofthe data andthe accuracy ofthe data analysis...
... indicator tracks the magnitude and rate of change ofthe atmospheric reservoir ofthe most abundant ozone-depleting substances Because ofthe long lifetimes of these chemicals andthe quantities ... action and reporting under the Biodiversity Convention Meanwhile, development planners and others eager to improve the sustainability of land use and land management practices should find these ... estimates ofthe value ofthe net change in forest, andofthe degradation of land, water, and unspecified "other" resources only for 1990 (25) The depreciation of subsoil assets is calculated using the...
... truth The wholeness and coherence of all life andthe oneness of man andthe universe referred to in de Chardin's quotation provides a concise and elegant theory which supports theapproach oftraditional ... man, then we have to realize the limitations ofthe materialistic approachand begin to venture into the unknown, supported only by our faith in the wisdom of nature andthe high destiny of man ... psychiatrists, and other specialists who purport to know the answers really have little to offer the common man The meaning and significance of personal experience (the true domain of any person-centered...
... their abstract ideas and theories, they can become mentally imbalanced and given to all sorts of eccentricity and fanaticism They often lack deep emotion andan acceptanceof the limitations of ... are the elements ofthe Moon, Ascendant, and Mars And lastly, the elements of Venus and Mercury, followed in order of importance by Jupiter and Saturn The elements of Uranus, Neptune, and Pluto ... factors.This often gives rise to a tendencyto manipulate others in order to fulfill their dwn security needs andto be too attached tothe past and rather fearful ofthe present and future There...
... subjective and psychological well-being, meaning, flow and strengths and have developed a range of corresponding measures Based on the outstanding work of authors such as Alan Waterman, Corey ... feel the research climate and resources are now supportive of these types of challenges Well-being research has increased substantially over the past decade andthe demand to disseminate these ... Sheldon and so many others, we now know more about the various types of well-being (reflecting hedonic and eudaimonic elements) andthe strategies for deliberately enhancing individual and community-level...
... provides an introduction to functions and their representations with an emphasis on the relationship between meaning and symbolic and graphic representations From the outset the study of functions and ... counterexamples, and learning to understand the usefulness of a variety of perspectives in devising an argument Students are encouraged to seek patterns and connections, to make conjectures and construct ... involves translating the problem into mathematics and expressing the quantity to be optimized as a function of a single variable Part I, Chapter and Part II, Chapters and address these skills...
... summaries ofthe conclusions reached as a result ofthe investigations in it We, the author and your instructors, would like you to leave the course equipped with a toolbox of problem-solving skills and ... 217 The Free Fall ofan Apple: A Quadratic Model 237 The Theoretical Backbone: Limits and Continuity 245 7.1 7.2 Investigating Limits—Methods of Inquiry and a Definition 245 Left- and Right-Handed ... Definitions and Basic Properties 19.2 Modifying the Graphs of Sine and Cosine 603 594 19.3 The Function f (x) = tan x 615 19.4 Angles and Arc Lengths 619 CHAPTER 20 Trigonometry—Circles and Triangles...
... received the input and spits out the output 16 To be anthropomorphic about it, think ofthe set of parentheses ( ) as a pair of hands cupped to receive the input The output spurts out ofthe equal ... between the quantity ofan item purchased and its price, a grant manager in the relationship between funds allocated to a program and results achieved A thermometer manufacturer must know the relationship ... diagrammatic models ofthe three machines We’ll call the mappings of inputs to outputs A, B, and C, corresponding to machines A, B, and C, respectively Assign button #1 the number 1, button #2 the number...
... The domain is the set of all acceptable volumes: [0, B], where B is the volume ofthe full beaker The volume of a cylinder of height h and radius r is the product ofthe height andthe area of ... denotes the beginning ofthe trip For instance, f (7) is the mileage hours into the trip If the travelers set an odometer to zero at the start ofthe trip, the output of f would be the reading on the ... The graphs ofthe functions f and g are given below What is the significance ofthe x-coordinate ofthe point of intersection ofthe lines? tax g 500 f cost of car Figure 1.4 REMARKS i The function...
... around the house A 13 -foot ladder is leaning against the wall of a house Thefootofthe ladder is feet from the house andthe top has a height of 12 feet The distance between the wall ofthe house ... coffee in a coffee filter Figure 1.11 SOLUTION We can use the volume of a cone to relate the amount of liquid, V , andthe height, h, ofthe liquid V = π r 2h Here r is the radius ofthe top of ... want to confuse pounds of sugar cane with pounds of panda Question: How many calories does the panda need for one day? C calories · x lbs of panda = Cx calories lbs of panda Question: How many...
... rectangular box has a square base Let s denote the length ofthe sides ofthe base and let h denote the height ofthe box, s and h in inches (a) Express the volume ofthe box in terms of s and ... expressing the volume of water in a conical coffee filter as a function ofthe height ofthe water We began by writing V = π r 2h, where both r, the radius ofthe liquid, and h, the height ofthe liquid ... For instance, suppose you were to calculate the value, V , ofthe change in your pocket V is a function of q, d, n, and p, where q, d, n, and p are the number of quarters, dimes, nickels, and pennies,...
... arch tothe floor is meters Denote the width ofthe archway by w andthe height ofthe vertical wall ofthe rectangle y The width and height are given in meters (a) Express y, the height ofthe ... answers to parts (a) and (b) in terms of any or all ofthe constants A, X, B, L, and C (a) Express the number of bushels of huckleberries the two bears eat as a function of t, the number of hours they ... A, N, q, r, and m are constants (a) Give the number of tiles Amir and Omar can put down as a function of t, the number of hours they work together (b) How many square meters can they tile in...
... at each ofthe functions f (x) = x, g(x) = x 2, h(x) = |x|, and j (x) = and answer the following questions x one by one (a) What are the domain and range ofthe function? (b) Where is the function ... For what values of x is h(x) < g(x)? REMARKS The graph of f (x) = x given in Figure 2.11 has the same scale on the x- and y-axes and therefore the line cuts the angle between the axes evenly ... odd, or neither Definition A function f is even if f (−x) = f (x) for all x in the domain of f This means that the height ofthe graph of f is the same at x and at −x The graph ofan even function...
... 2000 (b) The percent increase in the price of a cup of coffee in Seattle from 1970 to 2000 (c) The average rate of change ofthe price of a cup of coffee from 1970 to 2000 The graph of a function ... called a secant line Therefore, the average rate of change of f on [a, b] is the slope ofthe secant line through the points (a, f (a)) and (b, f (b)) 76 CHAPTER Characterizing Functions and Introducing ... average rate of change of f = f = x y x Geometrically, the average rate of change represents the slope ofthe line between the two points used This is because the average rate of change of f on [a,...
... measure the radius ofthe disk and want to know the rate of change ofthe area ofthe disk with respect tothe radius The area is a function ofthe radius: A(r) = π r square feet i When the radius increases ... can use your calculator to find the exact values ofthe zeros and turning points of this function (Some calculators can this.) The answers are: √ √ zeros: x = + and x = − √ turning point: x = The ... numerous There are infinitely many of them Let’s return to our function f If we try to graph f , the best we can is along the lines ofthe figure below The domain of this function is the set of all...