Спутник ДЗЗ. Uniform 1. [Редактировать]

UNIFORM-1 (University International Formation Mission) – спутник ДЗЗ массой 50 кг, размерами 50×50×50 см, построенный Университетом Вакаяма (город Вакаяма префектуры Вакаяма) для изучения лесных пожаров.

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Дополнительная классификация

#Наименования
1Страна оператор(владелец) - Япония
2Страна производитель - Япония
3Тип оператора(владельца) - государственный
4Тип орбиты - НОО
5Все спутники ДЗЗ

Технические характеристики

#ХарактеристикаЗначение
1Масса, кг50

Пусковые характеристики

#ХарактеристикаЗначение
1Код NSSDC2014-029B

Информация об удачном запуске

#ХарактеристикаЗначение
1Космодром Танегасима
2Дата пуска2014-05-24 at 03:05:00 UTC
3Полезная нагрузка 1xALOS 2
4Полезная нагрузка 1xUniform 1
5Полезная нагрузка 1xSOCRATES
6Полезная нагрузка 1xRising 2
7Полезная нагрузка 1xSPROUT
8Ракета-носитель 1xH2A202

Найдено 1000 документов по запросу «Uniform 1». [Перейти к поиску]


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... Foundation tier option, the maximum uniform mark available will be equivalent... their qualification grade, total uniform mark, unit uniform marks and an indicator... includes a results summary and the uniform mark grade thresholds. This report...’s unit grade and uniform mark are given. The uniform mark is shown out of the maximum uniform mark for... be treated as achieving zero uniform marks when calculating the certification... for A Level Further Mathematics. The uniform mark totals for A Level Mathematics... different maximum uniform marks. The grade thresholds on the uniform mark scale... percentages of the maximum uniform mark: Unit grade Uniform mark grade threshold as a percentage of the maximum uniform mark... and maximum uniform mark is given below: 4-unit GCE Maximum uniform mark... unit has a maximum uniform mark of 100. The uniform marks covering each grade for each of the different maximum uniform marks and the total uniform marks relating to... uniform marks and uniform mark grade thresholds differ for each specification. The uniform... Personal Learning Record Service. UMS (uniform mark A scale that converts raw...: 50023020 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50026161 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50023056 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50022313 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 5002422X June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50022325 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50026136 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50024243 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 60048128 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50023007 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 10034341 June 2016 6B16 Max Uniform Mark ! 300 For a certificate candidates...: 10034171 June 2016 6B16 Max Uniform Mark ! 300 For a certificate candidates...: 10060170 June 2016 6B16 Max Uniform Mark ! 300 For a certificate candidates...: 50024188 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 50022805 June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates...: 5002419X June 2016 6B16 Max Uniform Mark ! 200 For a certificate candidates... History (Certification) QN: 50044059 Max Uniform Mark % weighting 320 For a certificate...: 50046810 June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate... Hebrew (Certification) QN: 50044394 Max Uniform Mark % weighting 200 For a certificate... B (Gateway) (Certification) QN: 60011683 Max Uniform Mark % weighting 400 For a certificate...: 50045817 June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate... Studies (Certification) QN: 50045593 Max Uniform Mark % weighting 240 For a certificate... (Certification) QN: 50046706 J269 Max Uniform Mark % weighting 200 For a certificate... Civilisation (Certification) QN: 50044072 Max Uniform Mark % weighting 480 For a certificate...: 5004669X June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 50043948 June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate...: 50047371 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 50045428 June 2016 6A16 ! Max Uniform Mark % weighting 240 For a certificate... (Certification) QN: 5004543X J322 Max Uniform Mark % weighting 150 For a certificate... (Certification) QN: 60105665 J360 Max Uniform Mark % weighting 240 For a certificate...: 50044126 June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate...: 60065503 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 60063415 June 2016 6A16 ! Max Uniform Mark % weighting 240 For a certificate...: 5004705X June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate... Humanities (Certification) QN: 50045416 Max Uniform Mark % weighting 200 For a certificate...: 50045313 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 5004428X June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate... Law (Certification) QN: 50044114 Max Uniform Mark % weighting 240 For a certificate... (Certification) QN: 50045404 J444 Max Uniform Mark % weighting 200 For a certificate...: 50047000 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 50046718 June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate... B (Gateway) (Certification) QN: 6001149X Max Uniform Mark % weighting 400 For a certificate...: 50047036 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 50044400 June 2016 6A16 ! Max Uniform Mark % weighting 200 For a certificate... B (Gateway) (Certification) QN: 60011695 Max Uniform Mark % weighting 400 For a certificate...: 50045118 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...: 50047012 June 2016 6A16 ! Max Uniform Mark % weighting 400 For a certificate...



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... a sample from a uniform distribution. For a sample from a one parameter uniform distribution we... distributions. Similarly for two parameter uniform samples we show that the... OUTLIERS IN UNIFORM SAMPLES . . . . . . . . 18 2.1 Modelling outliers in one parameter uniform samples . . . . . 18 2.1.1 Modelling a single outlier in a one parameter uniform sample . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.1.2 Modelling multiple outliers in a one parameter uniform sample... parameter uniform samples . . . . . 39 2.2.1 Modelling a single outlier in a two parameter uniform sample . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.2.2 Modelling multiple outliers in a two parameter uniform sample... binomial cases. For a sample from a uniform(θ1 , θ2 ) distribution with both θ1 and θ2 unknown... the normal, exponential, uniform and Pareto distributions. For uniform samples he focuses... OUTLIERS IN UNIFORM SAMPLES 2.1 Modelling outliers in one parameter uniform samples 2.1.1 Modelling a single outlier in a one parameter uniform sample Suppose that {X1 , ..., Xn } are independent uniform(0, θ) random... such that ∞ C s 1 θα+n dθ C (α + n − 1) sα+n−1 = 1, = 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 19 thus C = (α + n − 1) sα+n−1 and so... for Xi have a uniform(0, θ) distribution and Xi has a uniform(0, δθ) distribution, is more... , xj : j = i = max s, . δ δ 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 20 Therefore α+n s∗ xi B0... 1 α αθ0 β = (α + n) (α + n − β − 1) xi α+n xi s α+n−β−1 −1 . 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 21 Hence αθ0 α β p (x|M1 ) = α+n = 1 (β + 1) xi... been obtained by simulating ten uniform(0, 1) observations in R. We have displayed... have randomly 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 22 chosen to multiply... if we had simulated a larger uniform(0, 1) sample, then the largest observation... this sample 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 23 when s∗ = 0.847. We...×10−10 1 2 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 25 Tab. 2.4: Critical values... IN UNIFORM SAMPLES 27 a uniform(0, θ) distribution and all of the Zg have a uniform... form Bγ,γ+1 = p(x|Mγ ) , p(x|Mγ+1 ) starting 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 28 with γ = 0, until we... a uniform(0, θ) distribution or the model Mq+q∗ that all of the Z[h] have a uniform(0, θ) distribution, all of the Zg have a uniform(0, δ1 θ) distribution and all of the Zg∗ have a uniform(0, δ2 θ) distribution, is more 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 29... rarely necessary when using a stretched uniform model for modelling outliers. To... for Xi have a uniform(0, θ) distribution and Xi has a uniform( , θ + ) distribution, is more... {θ0 , xi − , xj : j = i} . 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 33 Hence v xi B0... 12 d (2.806 − ) 2. MODELLING OUTLIERS IN UNIFORM SAMPLES Tab. 2.7: Bayes factors when..., but there 2. MODELLING OUTLIERS IN UNIFORM SAMPLES Tab. 2.8: Bayes factors when... a uniform(0, θ) distribution or the model Mq+q∗ that all of the Z[h] have a uniform(0, θ) distribution, all of the Zg have a uniform( 1 , θ + uniform( 2 , θ + 2) 1) distribution and... two parameter uniform samples 2.2.1 Modelling a single outlier in a two parameter uniform sample Suppose that {X1 , ..., Xn } are independent uniform(θ1 , θ2 ) random... as p x(i) |r, m = 1 rn−1 , 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 40 for max {xj... {xj : j = i})n−2 , rn 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 41 for max {xj... for Xi have a uniform(θ1 , θ2 ) distribution and Xi has a uniform(θ1 + , θ2 + ) distribution, is more... generated by a shifted uniform distribution rather than a stretched uniform distribution, as we... factor for the shifted uniform 2. MODELLING OUTLIERS IN UNIFORM SAMPLES model is... ∞ J uk = λr1 e−ω dω, ωk 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 44 then integration by... been obtained by simulating ten uniform(−1, 1) observations in R. We have displayed... IN UNIFORM SAMPLES 47 2.2.2 Modelling multiple outliers in a two parameter uniform sample... a uniform(θ1 , θ2 ) distribution or the model Mq that all of the Z[h] have a uniform(θ1 , θ2 ) distribution and all of the Zg have a uniform(θ1 + , θ2 + ) distribution... − , z[h] − min zg − , z[h] n−1 d . 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 49 Let zi and... integrals I l and J l . 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 50 If we were... a uniform(θ1 , θ2 ) distribution or the model Mq+q∗ that all of the Z[h] have a uniform(θ1 , θ2 ) distribution, all of the Zg have a uniform(θ1 + distribution and all of the Zg∗ have a uniform(θ1 + 2 , θ2 + 2) 1 , θ2 + 1) distribution... probability distributions: 2. MODELLING OUTLIERS IN UNIFORM SAMPLES 51 (i) Consider the least... distributions. Similarly for two parameter uniform samples we have shown that...



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... distributions of varying complexity, from uniform to highly skewed or bimodal... some simple distribution (e.g. a Gaussian or a uniform distribution), and then assumed that... and modelling framework with simple (Uniform) distributions over different ranges. Experiment... subjects’ responses in a simple condition (Uniform) vs a complex one (Peaked, one... Biology | www.ploscompbiol.org Experiment 1: Uniform distributions over different ranges In... either a Short Uniform (450–825 ms) or Long Uniform (750–1125 ms... as a Gaussian (columns a–b) or with a uniform distribution (columns c–d). Moreover, the observer... interpretation, Short Uniform, red points, and 937.5 ms for Long Uniform, green... Short Long Uniform { Skewed Uniform { Medium Uniform { Medium Peaked 7/12 Skewed 3 n~6 Medium Uniform { Standard... steps. Distributions of intervals were Uniform (1/6 probability per interval), Peaked/High... temporal reproduction for skewed vs uniform distributions of temporal intervals on... the Peaked condition versus the Uniform one might be compatible with... purely sensory intervals and uniform distributions [6,8,26]. Experiment 2: Uniform and Peaked distributions.... In the other block (Medium Uniform) the 6 intervals were equiprobable. The... the distribution mean, from the Uniform distribution (mean 787.5 ms) to... Uniform and Long Uniform blocks. Very top: Experimental distributions for Short Uniform (red) and Long Uniform... both blocks (red: Short Uniform; green: Long Uniform). Error bars denote s.e.m. Continuous... Uniform and Medium Peaked blocks. Very top: Experimental distributions for Medium Uniform... both blocks (light blue: Medium Uniform; light brown: Medium Peaked). Error... between Medium Peaked and Medium Uniform blocks. Difference in response between... Medium Peaked and the Medium Uniform conditions as a function of the... experimental distributions (light brown: Medium Uniform; light blue: Medium Peaked) are...) approximated the discrete uniform distributions in the Uniform blocks with normal distributions... approximations, e.g. for the Uniform blocks we considered a uniform distribution over the stimulus...) Candidate priors for the Medium Uniform (top) and Medium Peaked (bottom... Uniform (resp. Long Uniform) blocks are identical to those of the Medium Uniform... model selection to pick a Medium Uniform prior for the Medium Peaked..., the group averages for the Uniform priors over the Short, Medium...: Short Uniform (red) and Long Uniform (green) blocks. Bottom row: Medium Uniform (light... trial is simply modelled as a uniform distribution over a wide range of... provided. We again used a Medium Uniform block but now with Standard... 1 and 2; Skewed feedback). Short Uniform Long Uniform Objective Subjective Objective Subjective Mean... 0.82 + 0.98 24.0 19.6 Medium Uniform Medium Peaked Objective Subjective Objective... (Experiment 3 and 4). Top row: Medium Uniform (light brown) block. Bottom row... (Experiment 3 and 4; Standard feedback). Medium Uniform Objective Medium High-Peaked Subjective... statistical features of both simple (uniform, symmetric) and complex (peaked, asymmetric... of our subjects in the Uniform blocks were consistent with results... two means overlapped in the Uniform case) [27]. We also observed... from our previous experiments with uniform or peaked distributions, the inferred... are consistent instead with a broad uniform or multimodal prior (where the... to hypothesize that strongly non-uniform samples of intervals might affect... also Table 1): Experiment 1: Short Uniform and Long Uniform blocks with Skewed feedback... the first author). Experiment 2: Medium Uniform and Medium Peaked blocks with... the first author). Experiment 3: Medium Uniform block with Standard feedback (6 participants... the uniform distributions and Wide Bimodal block. For the non-uniform distributions... about 1000 trials for the Uniform or Wide Bimodal blocks, *500... release, 450–850 ms later (uniform distribution), feedback of the performance... deviation of 75 ms; (e) a continuous uniform distribution from the shortest to... emerge from the uniform background distribution (p~0 for the Uniform block, p~0:5 for the... the discrete Uniform distribution (128.7 ms). Therefore, for the Medium Uniform block... two ‘peaks’ emerging from the uniform background distribution (p~1=4 for the Medium... deviation equal to the discrete Uniform distribution over the range (Medium...



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... the course include discussions of uniform circular motion, angular momentum, Coulomb... 53 is more challenging. 2. Demonstrations Uniform velocity and acceleration, velocity as...; One Dimensional Acceleration; Constant Velocity & Uniform Acceleration; from the AAPT collection... AAPT (see above for addresses). c. Uniform Motion, Free Fall; Cinema Classics... and accelerations. Situations considered are: uniform acceleration along a straight line, projectile.... A. Draw the path and describe uniform circular motion, emphasizing that the..., and 51 in connection with uniform circular motion. f. Assign one or... to keep an object in uniform circular motion, given its speed... resistance. III. Uniform circular motion. A. Point out that for uniform circular motion... of a ball on a string, executing uniform circular motion, are measured for... F = mv2 /r. c. Meiners Experiment 7—8: Investigation of Uniform Circular Motion, or Bernard Experiment... force acting on a body undergoing uniform circular motion, with the centripetal... the speed of a puck undergoing uniform circular motion on a nearly frictionless... moves with constant speed (including uniform circular motion). The total work... with the force of gravity (uniform gravitational field) and the force... plane. Examples: a uniform sphere or spherical shell, a uniform cylinder, a uniform square, a rectangular plate... not by I, M , and R alone. All uniform cylinders started from rest reach.... If the gravitational field is uniform over the body, the center... and Center of Gravity. A non-uniform rod is pivoted on a fulcrum... on a point mass anywhere inside a uniform spherical shell is zero. (Optional... value. Simple harmonic motion and uniform circular motion. A. This section is... to be driven slowly with uniform angular speed. Attach a tennis ball... position vector of a particle in uniform circular motion undergoes simple harmonic... waves on a taut string of uniform density travel with constant speed... dT /dx for a slab of uniform cross section A. Here Pcond is... Pcond = kA(TH −TC )/L for a uniform bar of length L, with the... particle moving into a region of uniform field, perpendicular to its initial... the force on a dipole in a uniform field is zero and that... a dipole with rotational inertia I in a uniform electric field. Assume no other... each side of a cube in a uniform electric field. Also consider Sample... outside an infinite sheet with a uniform charge distribution. Contrast with the... flux for a closed surface in a uniform field. b. Problem 5 illustrates the fundamental.... Start with a uniform electric field, like that outside a uniform plane distribution of... and inside a nonconducting sphere with a uniform charge distribution. G. Write down the... potential of a uniform finite line of charge or a uniform disk of charge... E from V . A. Remind students that ∆V = −E∆x for a uniform field in the positive x direction... that if the polarization is uniform, the material behaves like neutral... surface. This reduces to J = i/A for uniform current density and an area... current in the wire, assuming uniform current density. You may want.... C. Show that R = ρL/A for a conductor with uniform cross section A and length L, carrying... × B for a finite straight segment in a uniform field. Stress that dL and... shaped segment of wire in a uniform .................................................. field. Show that the force... is uniform. .............. a •.................... L D. Point out that the force on a closed loop in a uniform field is zero since L = 0. E. Calculate the force of a uniform field.... A. Calculate the torque exerted by a uniform field on a rectangular loop of... direction. For a rectangular loop in a uniform field, show that τ = µ × B. State that... valid for any loop in a uniform field. Mention that other sources... orbit of a charged particle in a uniform magnetic field. Crossed electric and... emphasize that the force of a uniform magnetic field on a closed loop... magnitude of the field is uniform on a field line. Point out... current configurations B is not necessarily uniform on a field line. Show how... inside a long straight wire with a uniform current distribution. Note that the... along the axis and nearly uniform while the field at exterior... that ΦB = BA cos θ when B is uniform over the surface and makes... velocity past the boundary of a uniform magnetic field. Calculate the emf... velocity that is perpendicular to a uniform magnetic field. Show how to... the magnetic field to be uniform and point out that now... field. C. Consider a cylindrical region containing a uniform magnetic field along the axis... that the magnitude of E is uniform around a circle. VI. Definition of... which the electric field is uniform and is changing. Find the... charge, the magnetic field of a uniform current in a long straight wire..., the electric field accompanying a changing uniform magnetic field with cylindrical symmetry... that the intensity becomes more uniform as a decreases from λ. This was... 23 1. (a) 8 N · m2 /C; (b) 0 2. (a) all tie; (b) a uniform, b variable, c uniform, d variable 3. all tie 4. a, c, then b and...



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... at the preliminary inquiry their uniform colours and their order of... final decision and announce the uniform colours to be worn for... tie or the official team uniform (indicating the country name and... the physiotherapist of the delegation; e. uniform certificate from the FIVB; f. one... set of the captain’s playing uniform (one (1) of each colour) plus... colour) plus the team officials’ uniform, if the latter is not... inquiry form (O-7 Form); c. choice of uniform colours Form with match schedule...; f. choice of colours for match uniform (confirmation of O-1 Form); g. publicity on... Organiser: a. Daily Bulletin No.1 (including uniform colours assignment for the first... of the manufacturer of the uniform is authorized so long as... wear a specific advertising on its uniform – see also Article 1.5.5 of the... FORMS AND REPORTS O-1 Choice of Uniform Colours O-2 Team Registration * O-2bis Final.... Three (3) sets of the captain’s uniform in different colours must be... FIVB, World and Official Competitions. Uniform and shoe suppliers homologated by... on the uniform and must be in accordance with the uniform standards... uniform jersey (shirt), uniform shorts, uniform socks, shoes and training suit. Uniform jersey (shirt), uniform shorts, uniform socks... have two sets of each uniform. Player equipment accessories consist of... to the part of the uniform and/or warming up suit... player equipment: A.3.1.1 UNIFORM JERSEY (SHIRT) A.3.1.1.1 Uniform Jersey Model The uniform jersey should have... colour and design. The Libero uniform must have a different, contrasting colour... bodyline. A.3.1.1.2 a) b) c) d) e) f) g) Printed Information on the uniform Jersey (see also Diagrams 1 & 2 on... of the jersey. A.3.1.2 UNIFORM SHORTS A.3.1.2.1 Uniform Shorts Model The uniform shorts should have... allowed to use a one piece uniform if the standards for jersey... met. A.3.1.2.2 a) b) c) Printed Information on the Uniform Shorts (see also Diagrams 1 & 2 on... and 4 cm high). A.3.1.3 UNIFORM SOCKS Socks must be uniform in colour and...: Players must wear their playing uniform for warm up on the... uniform as shown in diagram 4 – (available soon). No variations to the uniform... not be visible under the uniform (shorts or jersey) and in... the same colour with the uniform. Compression pads are approved, but... same colour design as the uniform. No padding is allowed in... using compression pads must be uniform in colour /design for all... the advertising space on its uniform to its two (2) sponsors as... the case of the Libero uniform the advertisements may be inverted... of the homologated uniform must be displayed on the uniform jersey and... the advertising on the player’s uniform jersey. On the polo shirt... the described area of the uniform. A.4.4 RESTRICTED ADVERTISING Please note that... Department. One sample of the uniform displaying the advertising must accompany... Regulations. One (1) sample of the uniform displaying the advertising must accompany.... A separate application form and sample uniform is required for each sponsor... Certificate (along with the captain’s uniform, warming up suit and team...



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.... Theorems on Continuity. Piecewise Continuity. Uniform Continuity. Chapter 4 DERIVATIVES 71 The.... Regions. Limits. Iterated Limits. Continuity. Uniform Continuity. Partial Derivatives. HigherOrder Partial... Series of Functions, Uniform Convergence. Special Tests for Uniform Convergence of Series... Integrals Containing a Parameter, Uniform Convergence. Special Tests for Uniform Convergence of Integrals... 3 Functions, Limits, and Continuity 53 Uniform Continuity Let f be continuous in... for all x except ±π, ±2π, sin x ±3π, . . . [compare (h)]. Uniform continuity 3.29. Prove that f (x) = x2... 3 Functions, Limits, and Continuity 70 Uniform continuity 3.83. Prove that f (x) = x3... plane region R as a volume with uniform density one, the expression [f(x) – g(x)] dx... functions of two more variables. Uniform Continuity In the definition of... Sequences and Series of Functions, Uniform Convergence We opened this chapter... introduction of a new concept called uniform convergence, which, in turn, is... domain of convergence (absolute or uniform) of a series is the set... Figure 11.1 Special Tests for Uniform Convergence of Series 1. Weierstrass M test... but not a necessary condition for uniform convergence, i.e., a series may be uniformly... of convergence, the interval of uniform convergence also extends so far... x except x = 0, –1, –2, –3, . . . , and its sum is 1/x. Uniform convergence 11.27. Find the... for –1 < x < 1. 11.28. Investigate the uniform convergence of the series of... sequence). 11.30. Investigate the uniform convergence of x 2 + Suppose x x2 1 + x2... test. ∞ 11.32. ∑ Test for uniform convergence: (a) (a) cos nx n ≤ 4 cos nx... cannot conclude anything about the uniform convergence by this test (see... interval of convergence. Theorems on uniform convergence 11.34. Prove Theorem... at once, since by the uniform convergence of the series we... convergence, then the interval of uniform convergence includes this endpoint. ∞ For... ∑ Uniform convergence 11.92. By use of the definition, investigate the uniform... any method the convergence and uniform convergence of the series (a) ∞ ∞ sin... for ⏐x⏐ < 3; uniform convergence for ⏐x⏐ < r < 3 (b) uniform convergence for all x (c) convergence for x > 0; not uniform convergence for x > 0, but uniform convergence... the sequence un ( x ) = 1 1 + x 2n , n = 1, 2, 3, . . . , for uniform convergence. CHAPTER 11 11.99... established. Improper Integrals Containing a Parameter, Uniform Convergence Let ∞ φ (α ) = ∫ f ( x, α ) dx (8) a This integral... definition and the properties of uniform convergence to be developed are... third kinds. Special Tests for Uniform Convergence of Integrals 1. Weierstrass M test..., employing the aforementioned properties of uniform convergence. Laplace Transforms Operators that.... Improper Integrals CHAPTER 12 337 Uniform convergence of improper integrals 12... Problem 12.31 and the uniform convergence, and thus continuity, of.... Ans. (a) conditional convergence (b) absolute convergence Uniform convergence of improper integrals ∞ cos.... Prove the Weierstrass M test for uniform convergence of integrals. 12.56....58. State the definition of uniform convergence for improper integrals of... form. The literature is not uniform as to whether the negative...-hand, 51 theorems on, 52 uniform, 53 of vector functions, 167... series of constants, 292–299 uniform (see Uniform convergence) Convergent integrals, 322..., 327 quotient test for, 323 uniform convergence of, 327, 337–338... special, 284 uniform convergence of, 283, 284 (See also Uniform convergence) Weierstrass... transformations of, 101, 109–114 uniform convergence of, 328, 337, 338..., 290, 291 theorems on, 284 uniform covergence of, 284 Prime, relatively... of sequences) terms of, 28 uniform covergence of, 284 Series alternating..., 166 Unbounded interval, 6 Uniform continuity, 53, 63, 128 Uniform convergence, 282, 283...



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.... Theorems on Continuity. Piecewise Continuity. Uniform Continuity. Chapter 4 DERIVATIVES 71 The.... Regions. Limits. Iterated Limits. Continuity. Uniform Continuity. Partial Derivatives. HigherOrder Partial... Series of Functions, Uniform Convergence. Special Tests for Uniform Convergence of Series... Integrals Containing a Parameter, Uniform Convergence. Special Tests for Uniform Convergence of Integrals... 3 Functions, Limits, and Continuity 53 Uniform Continuity Let f be continuous in... for all x except ±π, ±2π, sin x ±3π, . . . [compare (h)]. Uniform continuity 3.29. Prove that f (x) = x2... 3 Functions, Limits, and Continuity 70 Uniform continuity 3.83. Prove that f (x) = x3... plane region R as a volume with uniform density one, the expression [f(x) – g(x)] dx... functions of two more variables. Uniform Continuity In the definition of... Sequences and Series of Functions, Uniform Convergence We opened this chapter... introduction of a new concept called uniform convergence, which, in turn, is... domain of convergence (absolute or uniform) of a series is the set... Figure 11.1 Special Tests for Uniform Convergence of Series 1. Weierstrass M test... but not a necessary condition for uniform convergence, i.e., a series may be uniformly... of convergence, the interval of uniform convergence also extends so far... x except x = 0, –1, –2, –3, . . . , and its sum is 1/x. Uniform convergence 11.27. Find the... for –1 < x < 1. 11.28. Investigate the uniform convergence of the series of... sequence). 11.30. Investigate the uniform convergence of x 2 + Suppose x x2 1 + x2... test. ∞ 11.32. ∑ Test for uniform convergence: (a) (a) cos nx n ≤ 4 cos nx... cannot conclude anything about the uniform convergence by this test (see... interval of convergence. Theorems on uniform convergence 11.34. Prove Theorem... at once, since by the uniform convergence of the series we... convergence, then the interval of uniform convergence includes this endpoint. ∞ For... ∑ Uniform convergence 11.92. By use of the definition, investigate the uniform... any method the convergence and uniform convergence of the series (a) ∞ ∞ sin... for ⏐x⏐ < 3; uniform convergence for ⏐x⏐ < r < 3 (b) uniform convergence for all x (c) convergence for x > 0; not uniform convergence for x > 0, but uniform convergence... the sequence un ( x ) = 1 1 + x 2n , n = 1, 2, 3, . . . , for uniform convergence. CHAPTER 11 11.99... established. Improper Integrals Containing a Parameter, Uniform Convergence Let ∞ φ (α ) = ∫ f ( x, α ) dx (8) a This integral... definition and the properties of uniform convergence to be developed are... third kinds. Special Tests for Uniform Convergence of Integrals 1. Weierstrass M test..., employing the aforementioned properties of uniform convergence. Laplace Transforms Operators that.... Improper Integrals CHAPTER 12 337 Uniform convergence of improper integrals 12... Problem 12.31 and the uniform convergence, and thus continuity, of.... Ans. (a) conditional convergence (b) absolute convergence Uniform convergence of improper integrals ∞ cos.... Prove the Weierstrass M test for uniform convergence of integrals. 12.56....58. State the definition of uniform convergence for improper integrals of... form. The literature is not uniform as to whether the negative...-hand, 51 theorems on, 52 uniform, 53 of vector functions, 167... series of constants, 292–299 uniform (see Uniform convergence) Convergent integrals, 322..., 327 quotient test for, 323 uniform convergence of, 327, 337–338... special, 284 uniform convergence of, 283, 284 (See also Uniform convergence) Weierstrass... transformations of, 101, 109–114 uniform convergence of, 328, 337, 338..., 290, 291 theorems on, 284 uniform covergence of, 284 Prime, relatively... of sequences) terms of, 28 uniform covergence of, 284 Series alternating..., 166 Unbounded interval, 6 Uniform continuity, 53, 63, 128 Uniform convergence, 282, 283...



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...-theoretic techniques for extracting effective uniform bounds from large classes of... proofs in functional analysis. Here ‘uniform’ means independence from parameters in... logical conditions such strong uniform versions of non-uniform existence statements. Moreover, they provide algorithms for actually extracting effective uniform... proof theory to obtain new uniform existence results in mathematics together... formula (in representatives of x, y), effective uniform (on K) bounds Φ(fx ) on ‘∃z’, i.e. ∀x ∈ X∀y ∈ K∃z ≤ Φ(fx... by the existing metatheorems: 1) effective uniform bounds are obtained for theorems... existence of bounds which are uniform for compact spaces (and – under... existence of bounds which are uniform on arbitrary bounded convex subsets... proofs of non-uniform existence theorems explicit effective uniform bounds. These algorithms... be used to infer new uniform existence results without having to... a new one for the stronger uniform bound which can again be... a polynomial p ∈ Q[X] s.t. f − p ∞< 1 ), 2 but there is no uniform bound for n on the whole.... (9) expresses that η is a modulus of uniform convexity of X which normally is... interpret η in M by a modulus of uniform convexity function. Finally, we observe... 85a:47059 13. Goebel, K., Reich, S., Uniform convexity, hyperbolic geometry, and nonexpansive... effective moduli of uniqueness and uniform a–priori estimates for constants of...). MR 2002i:47076 36. Kohlenbach, U., Uniform asymptotic regularity for Mann iterates...



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... images are captured according to a uniform or an exponentially increasing exposure... any given illumination pdf. For a uniform pdf, the average SNR is... optimum. For a general piece-wise uniform pdf, the average SNR is... Section 4 we show that for a uniform pdf, the average SNR is... that for a general piece-wise uniform pdf, the average SNR is... illuminations. Assuming multiple capture at uniform capture times τ, 2τ, . . . , T and using the... in scale. 4. OPTIMAL SCHEDULING FOR UNIFORM PDFS In this section we... is uniform. In this case, the scheduling problem becomes: Given a uniform photocurrent... for 2 to 10 captures assuming uniform photocurrent pdf over (0, 1]. Note that...fferent from the commonly assumed uniform or exponentially increasing time schedules... the average SNR achieved by uniform and exponentially increasing schedules. To... achieve using the uniform schedule. 5. SCHEDULING FOR PIECE-WISE UNIFORM PDFS In the real world, not too many scenes exhibit uniform... uniform illumination pdfs. Since any pdf can be approximated by a piecewise uniform pdf, solutions for piece-wise uniform pdfs can provide... approximated by a 2 segment piece-wise uniform pdf. The empirical pdf of... schedules for a uniform pdf over interval (0, 1]. Upper bound 2 Optimal 1.8 E (SNR) Uniform 1.6 Exponential... 3. Performance comparison of optimal schedule, uniform schedule, and exponential (with exponent... approximated by a 3 segment piece-wise uniform pdf. Of course better approximations... 200 250 Approximated piece-wise uniform pdf 2 fI (i) 1.5 1 0.5 0 imax1 imin 0 0.2 0.4 imin1... approximated two-segment piece-wise uniform pdf 4 3 x 10 True image intensity... 200 250 Approximated piece-wise uniform pdf imin imax2 fI (i) 4 2 imin2... approximated three-segment piece-wise uniform pdf Proc. SPIE Vol. 4669... piece-wise uniform pdf. We assume that the pdf is uniform over... becomes: Given a 2-segment piece-wise uniform pdf with k captures assigned to... the general 2-segment piece-wise uniform pdf scheduling problem can thus... for any M-segment piece-wise uniform pdf with a prescribed assignment of... problem with M-segment piece-wise uniform pdf, one can solve the... random initial conditions to the uniform schedule and the exponentially increasing... for the two piece-wise uniform pdfs of Figures 4 and 5. Due... exponential schedule initially outperforms the uniform schedule. The reason is that... medium illumination regions than the uniform. 6. DISCUSSION The paper presented the... on multiple capture have assumed uniform or exponentially increasing capture time... for any illumination pdf. For a uniform illumination pdf, we showed that... 2 Optimal 1.6 Exponential fI (i) 1.4 1.2 2 1 2 4 4 Uniform Exponential 3 2.5 2 1 0 Optimal 3.5 E (SNR) E (SNR) Uniform 4.5 fI (i) 1.8 Upper bound... comparison of the optimal schedule, uniform schedule, and exponential (exponent = 2) schedule... techniques. For a general piece-wise uniform illumination pdf, the average SNR...



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..., and let A and B be their uniform closures. Let I, I be arbitrary non..., 47B48, 46J20 ❑❡②✇♦r❞s✿ Banach function algebras • Uniform algebras • Norm-preserving • Peripheral range... in [5, 18, 19] for arbitrary uniform algebras rather than C (X ) and in... [9, 11, 14, 16]. Clearly, for uniform algebras A and B on compact Hausdorff... the Choquet boundaries of the uniform algebras under consideration. A mapping T : A → B between... norm-preserving maps between (unital) uniform algebras was characterized in [7, 14... A0 and B0 of (unital) uniform algebras A and B on X and Y , respectively... of a uniform algebra A on a compact Hausdorff space X and B is a uniform algebra on... the known results for the uniform algebra case. In particular, we... A and B, which is, in the uniform algebra case, a homeomorphism between the... function algebra on X is called a uniform algebra on X . In the case... peripheral range of elements in a uniform algebra on a compact Hausdorff space... well known that if A is a uniform algebra on a locally compact Hausdorff.... Let X be compact and A be a uniform algebra on X . Following [4, Definition 2], a subset..., Corollary 1.1] the subset exp A of a uniform algebra A on X (and consequently A−1 ) is... elements of uniform algebras. Theorem 2.1 ([21, Proposition 2.2]). Let A and B be uniform algebras... by K = {y ∈ Y : S(i)(y) = i}. Theorem 2.2. Let A and B be uniform algebras on compact Hausdorff spaces... norm-preserving maps between (unital) uniform algebras and, in general, (unital... of this result (in the uniform algebra case) given in [21... A1 of a unital uniform algebra A to a unital uniform algebra B satisfying the norm... ρ, τ, between particular subsets of the uniform closures of A and B. Then, using..., {fn−1 }, as a sequence in the uniform algebra A, converges uniformly on X to... )} is a Cauchy sequence in the uniform closure B of B. Hence there exists... follows that F is in the uniform closure of S(I)ST . Therefore it... uniform algebra A. Similarly, B is of type (P) for B. Hence, since A and B are uniform... A and B are multiplicative subsemigroups of uniform algebras A and B containing exp A and... from [21, Corollary 3.1] (for the uniform algebras A and B), that S(f) = S(ρ(f)) = S(1)−1 S(f) and S(g) = S(τ(g)) = T (1)−1 T (g) holds... holds, for example, when A is a uniform algebra on X ), then X = c(A) and [x] = {x} for... even real-linear. In the uniform algebra case, Hatori and et... I is a non-empty set, A, B are uniform algebras on compact Hausdorff spaces... all p ∈ I and y ∈ c(B). Here a subset N of a uniform algebra A on X is called absolutely... note that since in the uniform algebra case every point in... A itself, as well. Therefore every uniform algebra A is a set of type... the cases where A and B are uniform algebras or Banach function algebras... B be dense subalgebras of some uniform algebras A and B on locally compact... of spectrally multiplicative surjections between uniform algebras, Rend. Circ. Mat. Palermo... H., Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving... T., Weakly peripherally-multiplicative mappings between uniform algebras, In: Function Spaces, Edwardsville...] Luttman A., Lambert S., Norm conditions for uniform algebra isomorphisms, Cent. Eur. J. Math..., 6(2), 272–280 [16] Luttman A., Tonev T., Uniform algebra isomorphisms and peripheral multiplicativity...–229 [20] Shindo R., Maps between uniform algebras preserving norms of rational... for real-algebra isomorphisms between uniform algebras, Cent. Eur. J. Math., 2010... [22] Stout E.L., The Theory of Uniform Algebras, Bogden & Quigley, Tarrytown-on...