Journal articles: 'Test K'

1

Feng, Zhenyu. "K-TEST OF Γ DISTRIBUTION." Chinese Journal of Mechanical Engineering 37, no. 01 (2001): 97. http://dx.doi.org/10.3901/jme.2001.01.097.

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2

Heo, Sunyeong. "Error cause analysis of Pearson test statistics for k-population homogeneity test." Journal of the Korean Data and Information Science Society 24, no. 4 (July 31, 2013): 815–24. http://dx.doi.org/10.7465/jkdi.2013.24.4.815.

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3

Smith, Douglas K. "Kaufman Brief Intelligence Test (K-BIT)." Diagnostique 24, no. 1-4 (March 1999): 125–34. http://dx.doi.org/10.1177/153450849902401-412.

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4

Barker, F. C. "A test of K-matrix formulae." Nuclear Physics A 575, no. 2 (August 1994): 361–73. http://dx.doi.org/10.1016/0375-9474(94)90195-3.

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5

Hutton, D. M. "Software Test Automation: Effective Use of Test Execution Tools20005Mark Fewster and Dorothy Graham. Software Test Automation: Effective Use of Test Execution Tools. Reading, MA: Addison Wesley Longman 1999. 592 pp., ISBN: ISBN 0‐201‐33140‐3 $39.95 (£25 approx.)." Kybernetes 29, no. 3 (April 2000): 392–98. http://dx.doi.org/10.1108/k.2000.29.3.392.5.

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6

Creemers, Noortje, and Jos J. de Koning. "The physiological mechanism behind the talk test." Kinesiology 49, no. 1 (2017): 3–8. http://dx.doi.org/10.26582/k.49.1.15.

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The Talk Test (TT) is a very simple marker of exercise intensity, which has been shown to be a useful surrogate of the ventilatory (VT) and respiratory compensation (RCT) thresholds. The purpose of this study was to evaluate a potential mechanism behind the TT. Healthy, college-aged subjects (n=20) performed a maximal and two sub-maximal cycle ergometer tests. The two submaximal tests were performed: with the Talk Test (EXP) and without speaking (the control trial – CON). Oxygen uptake (VO2), CO2 output (VCO2), minute ventilation (VE), breathing frequency (BF), end-tidal CO2 pressure (PETCO2) and TT times were recorded. VO2, VCO2 and VE were reduced during the TT and increased immediately after it. BF was reduced during the TT. PETCO2 values (a surrogate of PaCO2) were highest during the TT and lowest before the TT. The time to complete the TT increased across progressive stages. This study supports the hypothesis that talking causes CO2 retention, which may cause ventilatory drive to increase. Since the ventilatory drive is already high above the VT, the apparent CO2 retention associated with speech may cause talking to become uncomfortable

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7

Hambye, T., R. B. Mann, and U. Sarkar. "Test of special relativity from K physics." Physics Letters B 421, no. 1-4 (March 1998): 105–8. http://dx.doi.org/10.1016/s0370-2693(98)00016-1.

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8

Radencich, Marguerite C. "Kaufman Test of Educational Achievement (K-Tea)." Academic Therapy 21, no. 5 (May 1986): 619–22. http://dx.doi.org/10.1177/105345128602100518.

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9

Grzegorzewski, Przemysław. "k-sample median test for vague data." International Journal of Intelligent Systems 24, no. 5 (May 2009): 529–39. http://dx.doi.org/10.1002/int.20345.

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10

Kim, Min-Hye, and Jong-Myung Lee. "Vitamin K Anaphylaxis Confirmed With Skin Test." Journal of Allergy and Clinical Immunology 133, no. 2 (February 2014): AB275. http://dx.doi.org/10.1016/j.jaci.2013.12.973.

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11

TOMITA, Tsuneo, Osamu TAMURA, Machiko ABE, and Kiyoshi SHIMBO. "A test of K+-sensitive electrode responses to changes in K+ concentration." Japanese Journal of Physiology 40, no. 5 (1990): 769–74. http://dx.doi.org/10.2170/jjphysiol.40.769.

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12

Richter, P., J. W. Hinton, D. Meissner, and P. Scheller. "Changes in salivary [K+],[Na+] and [K+]/[Na+] with varied test demands." Biological Psychology 39, no. 2-3 (February 1995): 131–42. http://dx.doi.org/10.1016/0301-0511(94)00960-6.

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13

Aykan, Ahmet Çağrı. "Computed Tomography Angiography Approach in Low-Intermediate Test Probability with Positive Exercise Electrocardiography Test in Young Women." Kosuyolu Heart Journal 18, no. 1 (April 20, 2015): 6–9. http://dx.doi.org/10.5578/khj.9533.

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14

Worts, Phillip R., Philip Schatz, and Scott O. Burkhart. "Test Performance and Test-Retest Reliability of the Vestibular/Ocular Motor Screening and King-Devick Test in Adolescent Athletes During a Competitive Sport Season." American Journal of Sports Medicine 46, no. 8 (May 9, 2018): 2004–10. http://dx.doi.org/10.1177/0363546518768750.

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Background: The Vestibular/Ocular Motor Screening (VOMS) and King-Devick (K-D) test are tools designed to assess ocular or vestibular function after a sport-related concussion. Purpose: To determine the test-retest reliability and rate of false-positive results of the VOMS and K-D test in a healthy athlete sample. Study Design: Cohort study (diagnosis); Level of evidence, 2. Methods: Forty-five healthy high school student-athletes (mean age, 16.11 ± 1.43 years) completed self-reported demographics and medical history and were administered the VOMS and K-D test during rest on day 1 (baseline). The VOMS and K-D test were administered again once during rest (prepractice) and once within 5 minutes of removal from sport practice on day 2 (removal). The Borg rating of perceived exertion scale was administered at removal. Intraclass correlation coefficients were used to determine test-retest reliability on the K-D test and the average near point of convergence (NPC) distance on the VOMS. Level of agreement was used to examine VOMS symptom provocation over the 3 administration times. Multivariate base rates were used to determine the rate of false-positive results when simultaneously considering multiple clinical cutoffs. Results: Test-retest reliability of total time on the K-D test (0.91 [95% CI, 0.86-0.95]) and NPC distance (0.91 [95% CI, 0.85-0.95]) was high across the 3 administration times. Level of agreement ranged from 48.9% to 88.9% across all 3 times for the VOMS items. Using established clinical cutoffs, false-positive results occurred in 2% of the sample using the VOMS at removal and 36% using the K-D test. Conclusion: The VOMS displayed a false-positive rate of 2% in this high school student-athlete cohort. The K-D test’s false-positive rate was 36% while maintaining a high level of test-retest reliability (0.91). Results from this study support future investigation of VOMS administration in an acutely injured high school athletic sample. Going forward, the VOMS may be more stable than other neurological and symptom report screening measures and less vulnerable to false-positive results than the K-D test.

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15

Valluri, Maheswara Rao. "Combinatorial primality test." ACM Communications in Computer Algebra 54, no. 4 (December 2020): 129–33. http://dx.doi.org/10.1145/3465002.3465004.

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In 1879, Laisant-Beaujeux gave the following result without proof: If n is a prime, then [EQUATION] This paper provides proofs of the result of Laisant-Beaujeux in two cases explicitly: (1) If an integer of the form n = 4k + 1, k > 0 is prime, then ([EQUATION]) and (2) If an integer of the form n = 4k + 3, k ≥ 0 is prime, then [EQUATION]. In addition, the author proposes important conjectures based on the converse of the above theorems which aim to establish primality of n. These conjectures are scrutinized by the given combinatorial primality test algorithm which can also distinguish patterns of prime n whether it is of the form 4k + 1 or 4k + 3.

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16

Dharsni, Chandra. "Test Loop Termokopel Tipe K Dengan Kalibrator Jofra." Jurnal Riset Fisika Edukasi dan Sains 6, no. 6 (November 25, 2019): 49–53. http://dx.doi.org/10.22202/jrfes.2019.v6i2.3571.

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17

Meisenberg, Gerhard, and Michael A. Woodley. "Global behavioral variation: A test of differential-K." Personality and Individual Differences 55, no. 3 (July 2013): 273–78. http://dx.doi.org/10.1016/j.paid.2012.04.016.

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18

Midorikawa, Mitsumasa, Isao Nishiyama, and Hiroyuki Yamanouchi. "Analytical Evaluation of K‐Braced Structure Seismic Test." Journal of Structural Engineering 115, no. 8 (August 1989): 1930–48. http://dx.doi.org/10.1061/(asce)0733-9445(1989)115:8(1930).

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19

Yuen, Kam-Chuen, Jian Shi, and Lixing Zhu. "A k-sample test with interval censored data." Biometrika 93, no. 2 (June 1, 2006): 315–28. http://dx.doi.org/10.1093/biomet/93.2.315.

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20

Phong, Duong H., and Jacob Sturm. "Test configurations for K-stability and geodesic rays." Journal of Symplectic Geometry 5, no. 2 (2007): 221–47. http://dx.doi.org/10.4310/jsg.2007.v5.n2.a3.

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21

Moon, Hojin, Hongshik Ahn, and Ralph L. Kodell. "An age-adjusted bootstrap-based Poly-k test." Statistics in Medicine 24, no. 8 (2005): 1233–44. http://dx.doi.org/10.1002/sim.1967.

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22

Goel, Dimple, Mukta Mantan, and Gulshan R. Sethi. "Mantoux test revisited: Variability in reading tuberculin test in pediatric population." Journal of Infection in Developing Countries 12, no. 08 (August 31, 2018): 625–30. http://dx.doi.org/10.3855/jidc.9601.

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Introduction: Mantoux test aids in the diagnosis of tuberculosis (TB), however its application and interpretation are dependent on multiple factors. Methodology: A prospective study enrolling 400 children (aged 2-12) suspected to have tuberculosis. All participants received Mantoux test with two different strengths (1 TU and 5 TU) of Purified Protein Derivative (PPD) on different forearms. The test was read by two readers after 48 ± 2 and 72 ± 2 hours. Primary outcome was difference in the size of induration when read by two readers (interobserver variability). Secondary outcomes were difference in the size of induration at different intervals, with different strengths of PPD and percentage positivity of Mantoux test in TB patients. Results: Statistically significant difference was seen in the size of induration when read by two different readers, with fair to moderate agreement when read at 48 and 72 hours (1 TU: p = 0.002, k = 0.52 and p = 0.1, k = 0.73 respectively, 5 TU: p = 0.001, k = 0.39 and p = 0.0009, k = 0.33 respectively). Tendency of under-reading occurred when size of induration was close to significant level (10-14 mm). Size of induration was similar when read at 48 or 72 hours (1 TU: p = 0.9, 5 TU: p = 1.0). Mantoux positivity rate in patients with TB was more with 5 TU as compared to 1 TU (61.2% vs. 16.3%). Conclusions: There is significant interobserver variability with a tendency to under-read around the cutoff point. The use of 5 TU PPD at 48 hours by a trained physician can aid in early and more reliable diagnosis of TB.

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23

Canivez, Gary L. "Validity of the Kaufman Brief Intelligence Test." Assessment 2, no. 2 (June 1995): 101–11. http://dx.doi.org/10.1177/107319119500200201.

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Concurrent validity of the Kaufman Brief Intelligence Test (K-BIT) with a sample of elementary- and middle-school students referred for multidisciplinary evaluations in a public school setting is presented. All correlations between the K-BIT and the Wechsler Intelligence Scale for Children–Third Edition (WISC-III) were significant. Correlations ranged from .36 ( r2 = .10) to .87 ( r2 = .75), Mr = .71 ( Mr2 = .50). K-BIT Vocabulary-Matrices discrepancy scores accounted for a significant but small proportion (13%) of the variability in WISC-III VIQ-PIQ discrepancies, but kappa ( k) coefficients for these discrepancies indicated that agreement was generally no better than chance. The K-BIT appears to be a promising general intellectual screening instrument when more comprehensive assessment is not possible or needed, but interpretation is best left at the IQ Composite level for the present time.

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24

Childers, John S., Thomas W. Durham, and Stephanie Wilson. "Relation of Performance on the Kaufman Brief Intelligence Test with the Peabody Picture Vocabulary Test—Revised among Preschool Children." Perceptual and Motor Skills 79, no. 3 (December 1994): 1195–99. http://dx.doi.org/10.2466/pms.1994.79.3.1195.

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58 children enrolled in a university preschool or kindergarten program were administered the Kaufman Brief Intelligence Test (K-BIT) and the Peabody Picture Vocabulary Test—Revised (PPVT—R). The PPVT—R correlated .75 with the K-BIT composite IQ, .69 with the K-BIT Vocabulary standard score, and .57 with the K-BIT Matrices score. The instruments also showed significant agreement (83%) in classifying children into average versus above average categories based upon a 110 standard score on either instrument. Analysis of K-BIT Vocabulary-Matrices differences showed a mean difference of 6 points favoring Vocabulary. Differences ranged from − 32 points to 43 points. 64% of the subjects scored higher on the Vocabulary than on the Matrices subtest of the K-BIT. 48% of the sample showed differences between scores on Vocabulary and Matrices of 10 points or more disregarding the direction of the difference. Implications for the concurrent validity of the instrument and interpretation of subscale differences for preschool children were discussed.

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25

Ťápal, Adam, and Vít Gabrhel. "Adaptivní maticový test - recenze metody." TESTFÓRUM 6, no. 11 (September 23, 2018): 37–42. http://dx.doi.org/10.5817/tf2018-11-199.

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Adaptivní Maticový Test (AMT) v rámci Vídeňského testového systému (VTS) je neverbální počítačově administrovanou metodou určenou k měření obecné inteligence, z hlediska CHC teorie (např. Carroll, 1993) k měření inteligence fluidní, konkrétně schopnosti induktivního usuzování. Test je určen pro neklinickou populaci v řadě kontextů, od dopravní psychologie přes personalistiku až po neuropsychologická vyšetření. AMT využívá řady předností moderních psychometrických postupů (adaptivní testování, dosažení shodné úrovně přesnosti měření nezávisle na úrovni měřeného rysu, ochrana položkové banky před nadměrnou expozicí apod.) a pro administrátora testu je uživatelsky příjemnou metodou. Test, respektive testová příručka, kterou čtenář dostává spolu s testem k dispozici (jak v české, tak anglické verzi), však trpí řadou nedostatků. Česká verze manuálu je z hlediska poskytování úplných a kvalitních informací pro uživatele testu zcela nedostatečná. Chybí informace o reliabilitě vyjma vnitřní konzistence, o důkazech validity, o normách, o procesu vývoje testu a jednotlivých položek či informace spojené s položkovou analýzou. Na AMT lze ocenit inovativnost, příjemnost použití, adaptivní povahu a (tušené) solidní racionále pro tvorbu položek a předpokládané fungování testu. Testové materiály jsou však neadekvátní a působí nedokončeným dojmem – především česká verze manuálu, kterou rozhodně nelze doporučit pro užívání. Z uvedených důvodů tedy doporučujeme užívat test AMT jen velmi obezřetně k orientačnímu měření fluidní inteligence – alespoň do chvíle, kdy bude manuál testu doplněn o informace, které získání důvěry v deklarované kvality testu náležitě podpoří.

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Aboueissa, Abou El-Makarim. "Statistical Inference for k (k>=3) Lognormal Means from Left Censored Data." Transactions on Machine Learning and Artificial Intelligence 8, no. 1 (April 30, 2020): 09–34. http://dx.doi.org/10.14738/tmlai.81.7896.

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The occurrence of censored data due to less than detectable measurements is a common problem with environmental data such as quality and quantity monitoring applications of water, soil, and air samples. The log-normal distribution is one of the most common distributions used for modeling skewed and positive data. Over the past decades, various methods for comparing the parameters of two lognormal distributions in the presence censored data have been proposed. Some of them are differing in terms of how the statistic test adjust to accept or to reject the null hypothesis. As a model distribution of measured environmental and/or biomedical data, log-normal distribution is considered. Logmormal means can be compared either by confidence intervals or hypothesis testing procedures. In this article, a new test procedure for comparing the means of k (k >= 3) lognormal distributions in the presence of left-censored data is introduced and evaluated. Asymptotic chi-square test is used in the proposed test procedure. A simulation study was performed to examine the power and the size of the proposed test procedure introduced in this article utilizing a computer program written in the R language. We find analytically that the considered test procedure is doing well through comparing the size and power of the statistic test.

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27

Huaming Wen, W. Bailey, K. Goddard, M. Al-Mosawi, C. Beduz, and Yifeng Yang. "Performance Test of a 100 kW HTS Generator Operating at 67 K–77 K." IEEE Transactions on Applied Superconductivity 19, no. 3 (June 2009): 1652–55. http://dx.doi.org/10.1109/tasc.2009.2017832.

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Heptonstall, Julia, and Angus Nicoll. "HIV test in pregnancy." Lancet 337, no. 8754 (June 1991): 1419. http://dx.doi.org/10.1016/0140-6736(91)93107-k.

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29

Živčić Marković, Kamenka, Tomislav Krističević, and Aleksandra Aleksić-Veljković. "Metric characteristics of a new test for the evaluation of dynamic balance." Kinesiology 48, no. 2 (2016): 267–73. http://dx.doi.org/10.26582/k.48.2.2.

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The aim of the study was to determine psychometric characteristics of a new test for the evaluation of dynamic balance in healthy individuals. The research was conducted on a sample of 60 female students (21.18±.86 years). The participants performed three trials of the new test for each of the two different ways of walking. The results of reliability have shown high values of factor loadings (.91-.97) and standardized Cronbach’s alpha values (.87-.98), as well as the average inter-item correlation values (full feet walking, tip toe walking and the number of steps) (.78-.94). High values of factor loadings (.88-.97) and the fact that the total explained variance was very high (93.3%), with a relatively small variability between the attempts, suggests that all the rules for consistency of testing have been satisfied and that the new test is reliable enough for its application in practice.

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Camic, Clayton L., and Benjamin C. Hendrickson. "Validation of the physical working capacity at the fatigue threshold treadmill test." Kinesiology 49, no. 2 (2017): 146–52. http://dx.doi.org/10.26582/k.49.2.13.

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<div>The purposes of the present study were twofold: 1) to determine the physical working capacity at the fatigue threshold (PWCFT) during an incremental treadmill test, and 2) to examine the validity of this fatigue threshold through constant-velocity runs to exhaustion at 90, 100, and 110% of the estimated PWCFT. Twelve aerobically-trained males (mean age±SD=24.6±5.4 years, running volume=69.9±46.0 km·wk-1, n=9) and females (22.3±2.3 years, 45.6±4.6 km·wk-1, n=3) volunteered to perform a treadmill test to exhaustion with electromyographic (EMG) signals recorded from the m. vastus lateralis on four separate visits. The First visit required each subject to complete an incremental treadmill test to exhaustion for determination of their PWCFT. During the second, third, and fourth visit, the subjects completed a treadmill run to exhaustion at a constant velocity that corresponded to 90, 100, or 110% of their PWCFT in random order. The linear regression analyses indicated there were no significant (p>.05) changes in muscle activation (i.e. EMG amplitude) across time to exhaustion during the constant velocity runs at 90% (60.00±0.00 min) and 100% (48.86±14.59 min) PWCFT, but significant (p<.05) increases occurred at 110% PWCFT (19.44±10.26 min). Thus, the findings of the present study indicated that the PWCFT treadmill test was able to accurately estimate the fastest running velocity that could be maintained for an extended period of time without evidence of neuromuscular fatigue.</div>

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31

Kaimi, Irene. "Discussion of ‘are Statisticians Cold-blooded Bosses? A New Perspective on the “Old” Concept of Statistical Population’ by Y. Lu and K. S. S. Henning." Teaching Statistics 37, no. 1 (October 10, 2014): 26–29. http://dx.doi.org/10.1111/test.12068.

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Jayasekara, Leslie, Takashi Yanagawa, and Masaaki Tsujitani. "A LOCATION-DISPERSION TEST FOR $ 2 \times k $ TABLES." Bulletin of informatics and cybernetics 26, no. 1/2 (March 1994): 125–39. http://dx.doi.org/10.5109/13438.

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Li, Chi, and Chenyang Xu. "Special test configuration and K-stability of Fano varieties." Annals of Mathematics 180, no. 1 (July 1, 2014): 197–232. http://dx.doi.org/10.4007/annals.2014.180.1.4.

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Zhang, Xiao-li, Jian Guan, and You He. "Rao Test of Distributed Targets in K-distributed Clutter." Journal of Electronics & Information Technology 32, no. 10 (December 2, 2010): 2496–500. http://dx.doi.org/10.3724/sp.j.1146.2009.01502.

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Ohtani, Kazuhiro. "Pre-test double k-class estimators in linear regression." Journal of Statistical Planning and Inference 87, no. 2 (June 2000): 287–99. http://dx.doi.org/10.1016/s0378-3758(99)00197-4.

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Środoń, J. "Extracting K-Ar Ages from Shales: A Theoretical Test." Clay Minerals 34, no. 2 (1999): 375–78. http://dx.doi.org/10.1180/claymin.1999.034.2.14.

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Wiley, Colby P., Travis Wedeking, and Addy M. Galindo. "Test Review: C. K. Conners. Conners Early Childhood Manual." Journal of Psychoeducational Assessment 31, no. 6 (November 12, 2013): 606–10. http://dx.doi.org/10.1177/0734282913484558.

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Środoń, J. "Extracting K-Ar ages from shales: a theoretical test." Clay Minerals 34, no. 2 (June 1999): 375–78. http://dx.doi.org/10.1180/000985599546163.

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Diagenetic evolution of illite-smectite in shales corresponds more closely than in other rocks to the thermal history of a sedimentary basin. In bentonites, illitization can be significantly retarded by the diffusion of K+ (Altaner et al., 1984; Clauer et al., 1997), and in sandstones it can be related to a localized hot fluid flow (e.g. Whitney & Northrop, 1987). Thus, extracting the diagenetic ages of illite-smectite from shales remains an important opportunity for the verification of basin history models.

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Penfield, Douglas A., and Stephen L. Koffler. "A Nonparametric K-Sample Test for Equality of Slopes." Educational and Psychological Measurement 46, no. 3 (September 1986): 537–42. http://dx.doi.org/10.1177/0013164486463005.

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AJOSE, S. O. "Characterization of a K-band MIC component test jig." International Journal of Electronics 58, no. 5 (May 1985): 847–53. http://dx.doi.org/10.1080/00207218508939077.

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Landberg, C., G. S. Adams, C. Chan, E. Efstathiadis, R. W. Hackenburg, M. A. Kramer, S. J. Lindenbaum, et al. "Test of the OZI rule in hadroproduction ofφφandφK+K−." Physical Review D 53, no. 5 (March 1, 1996): 2839–42. http://dx.doi.org/10.1103/physrevd.53.2839.

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Canavan, E. R., D. C. Larbalestier, and S. W. Van Sciver. "A 13 T-1.8 K NbTi laboratory test coil." IEEE Transactions on Magnetics 24, no. 2 (March 1988): 1082–85. http://dx.doi.org/10.1109/20.11417.

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Ling, H. C., and D. D. Chang. "Surge test characteristics of high k multilayer ceramic capacitors." IEEE Transactions on Components, Hybrids, and Manufacturing Technology 14, no. 3 (1991): 633–36. http://dx.doi.org/10.1109/33.83955.

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Wang, Tingxuan, and Junyao Gao. "An Improved K-Means Algorithm Based on Kurtosis Test." Journal of Physics: Conference Series 1267 (July 2019): 012027. http://dx.doi.org/10.1088/1742-6596/1267/1/012027.

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Barbour, A. D., D. I. Cartwright, J. B. Donnelly, and G. K. Eagleson. "A new rank test for the K-Sample problem." Communications in Statistics - Theory and Methods 14, no. 6 (1985): 1471–84. http://dx.doi.org/10.1080/03610928508828988.

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Kable, Petranick W. T., C. Bewtra, and J. C. Gallagher. "Use of Progestin Challenge Test in Elderly Women K." Menopause 2, no. 4 (1995): 278. http://dx.doi.org/10.1097/00042192-199502040-00112.

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LaMotte, Lynn Roy. "Following K. Pearson to test the general linear hypothesis." Statistical Papers 61, no. 1 (June 16, 2017): 71–83. http://dx.doi.org/10.1007/s00362-017-0924-6.

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48

Alekseychuk, A. N., and S. N. Konyushok. "An improved test of Boolean functions for k-dimensionality." Cybernetics and Systems Analysis 49, no. 2 (March 2013): 183–90. http://dx.doi.org/10.1007/s10559-013-9498-z.

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49

Zhang, Zhicong, Li Zheng, Forest Hou, and Na Li. "Semiconductor final test scheduling with Sarsa(λ,k) algorithm." European Journal of Operational Research 215, no. 2 (December 2011): 446–58. http://dx.doi.org/10.1016/j.ejor.2011.05.052.

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Codogni, Giulio. "Tits Buildings and K-Stability." Proceedings of the Edinburgh Mathematical Society 62, no. 3 (January 30, 2019): 799–815. http://dx.doi.org/10.1017/s0013091518000512.

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Abstract:

AbstractA polarized variety is K-stable if, for any test configuration, the Donaldson–Futaki invariant is positive. In this paper, inspired by classical geometric invariant theory, we describe the space of test configurations as a limit of a direct system of Tits buildings. We show that the Donaldson–Futaki invariant, conveniently normalized, is a continuous function on this space. We also introduce a pseudo-metric on the space of test configurations. Recall that K-stability can be enhanced by requiring that the Donaldson–Futaki invariant is positive on any admissible filtration of the co-ordinate ring. We show that admissible filtrations give rise to Cauchy sequences of test configurations with respect to the above mentioned pseudo-metric.

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Journal articles on the topic 'Test K'

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