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Research Report Collection

Volume 19, 2016

The preprints are listed in increasing order of submission date and only the pdf files of the papers provided by the authors will be available. They can be cited as:

[1] I.I. Surname, Title of the Paper, RGMIA Research Report Collection, 19 (2016), Article 1, xx pp.

 

1.

S. S. Dragomir
Bounds for the Generalized (Φ,f)-Mean Difference
 
PDF 

2.

S. S. Dragomir
Some Additive Inequalities for Heinz Operator Mean
 
PDF 

3.

I. A. Baloch, I. Iscan and S. S. Dragomir
Fejer Type Inequalities for Harmonically (s;m)-Convex Functions
 
PDF 

4.

S. S. Dragomir
Some Multiplicative Inequalities for Heinz Operator Mean
 
PDF 

5.

S. S. Dragomir
Some Inequalities for Weighted Harmonic and Arithmetic Operator Means
 
PDF 

6.

S. S. Dragomir
Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field
 
PDF 

7.

S. S. Dragomir
Additive Inequalities for Weighted Harmonic and Arithmetic Operator Means
 
PDF 

8.

S. S. Dragomir
Refinements and Reverses of Holder-McCarthy Operator Inequality Via a Cartwright-Field Result
 
PDF

9.

A. Qayyum, M. Shoaib and I. Faye
On New Refinements and Applications of Efficient Quadrature Rules Using n-Times Differentiable Mappings
 
PDF

10.

S. S. Dragomir
Upper and Lower Bounds for the Difference Between the Weighted Arithmetic and Harmonic Operators Means
 
PDF

11.

S. S. Dragomir
Multiplicative Inequalities for Weighted Arithmetic and Harmonic Operator Means
 
PDF

12.

S. S. Dragomir and I. Gomm
Basic Inequalities for (m,M)-Ψ-Convex Functions when Ψ=-ln
 
PDF

13.

S. S. Dragomir
Some Refinements and Reverses of Callebaut's Inequality for Isotonic Functionals Via a Result Due to Cartwright and Field
 
PDF

14.

S. S. Dragomir and I. Gomm
Hermite-Hadamard Type Inequalities for (m,M)-Ψ-Convex Functions when Ψ=-ln
 
PDF

15.

S. S. Dragomir
Refinements and Reverses of Holder's Inequality for Isotonic Functionals Via a Result of Cartwright and Field
 
PDF

16.

I. J. Taneja
Selfie Numbers - III: With Factorial and Without Square-Root - Up To Five Digits
 
PDF

17.

I. J. Taneja
Selfie Power Representations
 
PDF

18.

S. S. Dragomir
Two Points Taylor's Type Representations with Integral Remainders
 
PDF

19.

S. S. Dragomir
Two Parameters and Two Points Representation of Absolutely Continuous Functions with Integral Remainder
 
PDF

20.

K. Nantomah and M. M. Iddrisu
Some Inequalities Involving the Ratio of Gamma Functions
 
PDF

21.

S. S. Dragomir
Inequalities for Operator Noncommutative Perspectives of Convex Functions
 
PDF

22.

S. S. Dragomir
Inequalities for Operator Noncommutative Perspectives of Continuously Differentiable Functions with Applications
 
PDF

23.

S. S. Dragomir
Ostrowski Type Inequalities for Operator Noncommutative Perspective
 
PDF

24.

H. Budak and M. Z. Sarikaya
A Companion of Ostrowski Type Inequalities for Mappings of Bounded Variation and Some Applications
 
PDF

25.

H. Budak,  M. Z. Sarikaya and A. Qayyum
Improvement in Companion of Ostrowski Type Inequalities for Mappings Whose First Derivatives are of Bounded Variation and Application
 
PDF

26.

S. S. Dragomir
New Inequalities for Operator Noncommutative Perspectives Related to Convex Functions
 
PDF

27.

H. Budak and M. Z. Sarikaya
An Inequality of Ostrowski-Gruss Type for Double Integrals
 
PDF

28.

H. Budak and M. Z. Sarikaya
On Weighted Gruss Type Inequalities for Double Integrals
 
PDF

29.

H. Budak and M. Z. Sarikaya
On Hermite-Hadamard Type Inequalities for s-Convex Mappings Via Fractional Integrals of a Function with Respect to Another Function
 
PDF

30.

H. Budak and M. Z. Sarikaya
A New Hermite-Hadamard Inequality for h-Convex Stochastic Processes
 
PDF

31.

I. J. Taneja
Crazy Power Representations of Natural Numbers
 
PDF

32.

I. J. Taneja
Flexible Power Narcissistic Numbers with Division
 
PDF

33.

I. J. Taneja
Floor Function and Narcissistic Numbers with Division
 
PDF

34.

S. Furuichi
A Counter Example for Refined Reverse Young Inequality with Specht's Ratio
 
PDF

35.

K. Yildiz and M. A. Ardic
Inequalities Via GG-Convexity
 
PDF

36.

H. Budak,  M. Z. Sarikaya and A. Qayyum
New Refinements and Applications of Ostrowski Type Inequalities for Mappings Whose n-th Derivatives are of Bounded Variation
 
PDF

37.

S. S. Dragomir
Inequalities for (m,M)-Ψ-Convex Functions with Applications to Operator Noncommutative Perspectives
 
PDF

38.

M. A. Latif, S. S. Dragomir and E. Momoniat
Some q-Analogues of Hermite-Hadamard Inequality of Functions of Two variables on Finite Rectangles in the Plane
 
PDF

39.

H. R. Moradi, M. E. Omidvar, S. S. Dragomir and Y. J. Cho
Some Reverses of the Cauchy-Schwarz and Triangle Inequalities in 2-Inner Product Spaces
 
PDF

40.

K. Nantomah, M. M. Iddrisu and E. Prempeh
Generalization of Some Inequalities for the Ratio of Gamma Functions
 
PDF

41.

S. S. Sheybani, M. E. Omidvar and S. S. Dragomir
Some Results Related to Quadratic Maps
 
PDF

42.

S. S. Dragomir
New Refinements and Reverses of Hermite-Hadamard Inequality and Applications to Young's Operator Inequality
 
PDF

43.

L. Ciurdariu
Several Applications of Young-type and Holder's Inequalities
 
PDF

44.

S. S. Dragomir
Some Asymmetric Reverses of Young's Scalar and Operator Inequalities with Applications
 
PDF

45.

P. G. Popescu and J. L. Diaz-Barrero
New generalizations of Discrete Montgomery Identity with Applications
 
PDF

46.

M. A. Latif, S. S. Dragomir and E. Momoniat
Some q-Analogues of Hermite-Hadamard Inequality for s-Convex Functions in the Second Sense and Related Estimates
 
PDF

47.

H. Budak,  M. Z. Sarikaya and S. S. Dragomir
Some Perturbed Ostrowski Type Inequality for Twice Differentiable Functions
 
PDF

48.

I. J. Taneja
Double Sequential Representations of Natural Numbers - I
 
PDF

49.

I. J. Taneja
Flexible Power Selfie Numbers - I
 
PDF

50.

I. J. Taneja
Flexible Power Selfie Numbers - II
 
PDF

51.

I. J. Taneja
Flexible Power Selfie Numbers - III
 
PDF

52.

L. Ciurdariu
Some Applications of Young-Type Inequalities for Operators
 
PDF

53.

S. S. Dragomir
Some Weight Functionals Associated to Convex Functions with Applications
 
PDF

54.

H. Budak and M. Z. Sarikaya
Some Perturbed Ostrowski Type Inequality for Functions Whose First Derivatives are of Bounded Variation
 
PDF

55.

K. Mehrez and S. M. Sitnik
Inequalities of Turan Type for Mittang-Leffler Functions
 
PDF

56.

S. S. Dragomir
Operator Superadditivity and Monotonicity of Noncommutative Perspectives
 
PDF

57.

I. J. Taneja
Double Sequential Representations of Natural Numbers - II
 
PDF

58.

I. J. Taneja
Pyramidical Representations of Natural Numbers
 
PDF

59.

M. Z. Sarikaya, H. Budak, T. Tunc, S. Erden and H. Yaldiz
Perturbed Companion of Ostrowski Type Inequality for Twice Differentiable Functions
 
PDF

60.

S. S. Dragomir
On a Mixed Perspective for Operator Convex Functions in Hilbert Spaces
 
PDF

61.

S. S. Dragomir
A Weaken Version of Davis-Choi-Jensen's Inequality for Normalised Positive Linear Maps
 
PDF

62.

S. S. Dragomir
Grüss' Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Hilbert Spaces
 
PDF

63.

S. S. Dragomir
Operator Quasilinearity of Some Functionals Associated to Davis-Choi-Jensen's Inequality for Positive Maps
 
PDF

64.

L. Ciurdariu
Several Refinements of Power Series Inequalities and Applications
 
PDF

65.

S. S. Dragomir
Cebysev Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Hilbert Spaces
 
PDF

66.

G. A. Anastassiou
Self Adjoint Operator Korovkin Type and Polynomial Direct Approximations with Rates
 
PDF

67.

I. A. Baloch and  I. Iscan
Some Hermite-Hadamard Type Inequalities for Harmonically (s;m)-Convex Functions in Second Sense
 
PDF 

68.

S. Erden and M. Z. Sarikaya
New Hermite Hadamard Type Inequalities for Twice Differentiable Convex Mappings Via Green Function and Applications
 
PDF

69.

S. Erden, M. Z. Sarikaya and H. Budak
New Weighted Inequalities for Higher Order Derivatives and Applications
 
PDF

70.

S. Erden, H. Budak and M. Z. Sarikaya
Some Perturbed Inequalities of Ostrowski Type for Twice Differentiable Functions
 
PDF

71.

S. Erden, M. Z. Sarikaya and N. Celik
Some Generalized Inequalities Involving Local Fractional Integrals and Its Applications for Random Variables and Numerical Integration
 
PDF

72.

S. Erden and M. Z. Sarikaya
Some Inequalities for Double Integrals and Applications for Cubature Formula
 
PDF

73.

H. Budak, S. Erden and M. Z. Sarikaya
New Weighted Ostrowski Type Inequalities for Mappings Whose n-th Derivatives are of Bounded Variation
 
PDF

74.

S. S. Dragomir
Quasilinearity of Some Functionals Associated to a Weaken Davis-Choi-Jensen's Inequality for Positive Maps
 
PDF

75.

H. Budak, M. Z. Sarikaya, A. Akkurt and H. Yildirim
Perturbed Companion of Ostrowski Type Inequality for Functions whose First Derivatives are of Bounded Variation
 
PDF

76.

H. Budak and M. Z. Sarikaya
Some Companions of Ostrowski Type Inequalities for Twice Differentiable Functions
 
PDF

77.

H. Budak and M. Z. Sarikaya
Generalized Weighted Čebysev and Ostrowski Type Inequalities for Double Integrals
 
PDF

78.

H. Budak and M. Z. Sarikaya
Weighted Inequalities for Riemann-Stieltjes Integrals
 
PDF

79.

H. Budak, M. Z. Sarikaya and A. Qayyum
An Improved Version of Perturbed Companion of Ostrowski Type Inequalities
 
PDF

80.

S. S. Dragomir
Some Hermite-Hadamard Type Inequalities for Operator Convex Functions and Positive Maps
 
PDF

81.

H. R. Moradi, M. E. Omidvar and S. S. Dragomir
An Operator Extension of Cebysev Inequality
 
PDF

82.

H. R. Moradi, M. E. Omidvar and S. S. Dragomir
More Operator Inequalities for Positive Linear Maps
 
PDF

83.

M. Z. Sarikaya, A. Akkurt, H. Budak, M. E. Yildirim and H. Yildirim
Hermite-Hadamard's Inequalities for Conformable Fractional Integrals
 
PDF

84.

I. A. Baloch and I. Iscan
Some Hermite-Hadamard Type Inequalities for p-Preinvex Functions
 
PDF

85.

I. A. Baloch and I. Iscan
Some Hermite-Hadamard Type Inequalities for Harmonically (p; (s;m))-Convex Functions
 
PDF

86.

I. A. Baloch and I. Iscan
Some Hermite-Hadamard Type Inequalities for (p; (s;m))-Convex Functions
 
PDF

87.

I. A. Baloch and I. Iscan
Integral Inequalities for Differentiable Harmonically (s;m)-Preinvex Functions
 
PDF

88.

S. S. Dragomir
Callebaut and Holder Type Inequalities for Positive Linear Maps of Selfadjoint Operators Via a Kittaneh-Manasrah Result
 
PDF

89.

L. Ciurdariu
Some Inequalities for Isotonic Linear Functionals
 
PDF

90.

S. S. Dragomir
Inequalities for Positive Linear Maps of Selfadjoint Operators Via a Kittaneh-Manasrah Result
 
PDF

91.

S. S. Dragomir
Inequalities for Positive Linear Maps of Selfadjoint Operators Via Some Multiplicative Refinements and Reverses of Young's Inequality
 
PDF

92.

M. Z. Sarikaya, H. Budak, S. Erden and A. Qayyum
A Generalized and Refined Perturbed Version of Ostrowski Type Inequalities
 
PDF

93.

M. Z. Sarikaya and H. Budak
Opial Type Inequalities for Conformable Fractional Integrals
 
PDF

94.

M. Z. Sarikaya, H. Yaldiz and H. Budak
Steffensen's Integral Inequality for Conformable Fractional Integrals
 
PDF

95.

M. Tunc and E. Gov
Some Integral Inequalities Via (p;q)-Calculus on Finite Intervals
 
PDF

96.

M. Tunc and E. Gov
(p;q)-Integral Inequalities on Finite Intervals
 
PDF

97.

M. Tunc and E. Gov
(p;q)-Integral Inequalities
 
PDF

98.

M. Tunc and E. Gov
(p;q)-Integral Inequalities for Convex Functions
 
PDF

99.

S. S. Dragomir
On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces
 
PDF

100.

S. S. Dragomir
On Jensen's Additive Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces
 
PDF

101.

L. Ciurdariu
Holder-Type and Qi-Type Inequalities for Isotonic Linear Functionals
 
PDF

102.

S. S. Dragomir and A. McAndrew
A Note on Numerical Comparison of Some Multiplicative Bounds Related to Weighted Arithmetic and Geometric Means
 
PDF

103.

S. S. Dragomir and A. McAndrew
Reverses of Callebaut Discrete Inequality Via Some Results Due to Zhuang
 
PDF

104.

M. Z. Sarikaya and H. Budak
New Inequalities of Opial Type for Conformable Fractional Integrals
 
PDF

105.

S. S. Dragomir
Some Inequalities for Logarithm with Applications to Weighted Means
 
PDF

106.

S. S. Dragomir
Reverses and Refinements of Several Inequalities for Relative Operator Entropy
 
PDF

107.

A. Akkurt, M. E. Yildirim and H. Yildirim
On Some Integral Inequalities for Conformable Fractional Integrals
 
PDF

108.

S. S. Dragomir
Some Inequalities for Logarithm Via Taylor's Expansion with Integral Remainder
 
PDF

109.

L. Ciurdariu
Several Inequalities for Norm
 
PDF

110.

Y. Erdem, H. Ogunmez and H. Budak
Some Generalized Inequalities of Hermite-Hadamard Type for Strongly s-Convex Functions
 
PDF

111.

K. Yildiz and M. A. Ardic
A New Integral Inequalities for GG-Convex Functions
 
PDF

112.

M. Z. Sarikaya, A. Akkurt, H. Budak, M. E. Yildirim and H. Yildirim
On Some Special Functions for Conformable Fractional Integrals
 
PDF

113.

I. J. Taneja
Selfie Fractions: Addable
 
PDF

114.

I. J. Taneja
Selfie Fractions: Dottable and Potentiable
 
PDF

115.

I. J. Taneja
Selfie Fractions: Addable and Dottable Together
 
PDF

116.

I. J. Taneja
Equivalent Selfie Fractions: Dottable, Addable and Subtractable
 
PDF

117.

I. J. Taneja
Equivalent Selfie Fractions: Addable and Dottable Together
 
PDF

118.

M. A. Ardic, A. O. Akdemir and K. Yildiz
On Some New Inequalities Via GG-Convexity and GA-Convexity Functions
 
PDF

119.

L. Ciurdariu
Applications of Young's Inequality for Matrices
 
PDF

120.

N. Alp and M. Z. Sarikaya
Some Quantum Integral Inequalities for Midpoint Formula
 
PDF

121.

M. Z. Sarikaya, H. Budak and F. Usta
On Generalized the Conformable Fractional Calculus
 
PDF

122.

M. Z. Sarikaya
Gronwall Type Inequalities for Conformable Fractional Integrals
 
PDF

123.

F. Usta and M. Z. Sarikaya
On Generalization Conformable Fractional Integral Inequalities
 
PDF

124.

M. Z. Sarikaya and F. Usta
On Comparison Theorems for Conformable Fractional Differential Equations
 
PDF

125.

S. S. Dragomir
Some New Reverses and Refinements of Inequalities for Relative Operator Entropy
 
PDF

126.

S. S. Dragomir
New Inequalities for Logarithm Via Taylor's Expansion with Integral Remainder
 
PDF

127.

P. Cerone, S. S. Dragomir and E. Kikianty
Jensen-Ostrowski Inequalities and Integration Schemes Via the Darboux Expansion
 
PDF

128.

I. J. Taneja
Double Sequential Representations of Natural Numbers - III
 
PDF

129.

I. J. Taneja
Double Sequential Representations of Natural Numbers - IV
 
PDF

130.

I. J. Taneja
Pyramidical Representations of Natural Numbers - II
 
PDF

131.

I. J. Taneja
Flexible Power Representations of Natural Numbers
 
PDF

132.

S. S. Dragomir
Logarithmic Inequalities for Two Positive Numbers Via Taylor's Expansion with Integral Remainder
 
PDF

133.

S. S. Dragomir
Inequalities for Relative Operator Entropy in Terms of Tsallis' Entropy
 
PDF

134.

I. J. Taneja
Triple Representations of Natural Numbers - I
 
PDF

135.

S. S. Dragomir
Inequalities for Relative Entropy in Terms of Tsallis' Entropy for Operators Satisfying a Boundedness Condition (I)
 
PDF

136.

S. S. Dragomir
Inequalities for Relative Entropy in Terms of Tsallis' Entropy for Operators Satisfying a Boundedness Condition (II)
 
PDF

137.

D.-Y. Hwang and S. S. Dragomir
Some Extended Means and Hermite-Hadamard Inequality for r-Preinvex Functions on Invex Set
 
PDF

138.

M. A. Khan, T. Ali, S. S. Dragomir and M. Z. Sarikaya
Hermite-Hadamard Type Inequalities for Conformable Fractional Integrals
 
PDF

139.

K. Nantomah
On Some Inequalities for the (p;k)-Analogues of the Digamma and Polygamma Functions
 
PDF

140.

S. S. Dragomir
Representation of Operator Perspectives for Continuously n-Time Differentiable Functions with Applications
 
PDF

141.

S. S. Dragomir
Representation of Operator Perspectives for Continuously Differentiable Functions in Terms of Weighted Means with Applications
 
PDF

142.

I. J. Taneja
Fibonacci Sequence and Selfie Numbers - I
 
PDF

143.

I. J. Taneja
Fibonacci Sequence and Selfie Numbers - II
 
PDF

144.

F. M. Dannan and S. M. Sitnik
The Damascus Inequality
 
PDF

145.

S. S. Dragomir
The Quadratic Weighted Geometric Mean for Bounded Linear Operators in Hilbert Spaces
 
PDF

146.

E. A. Oyekan and B. F. Adedara
An Extension of a Certain Subclass of Starlike Functions with Negative Coefficients
 
PDF

147.

S. S. Dragomir
Some Properties of Quadratic Weighted Geometric Mean of Bounded Linear Operators in Hilbert Spaces Via Kato's Inequality
 
PDF

148.

I. J. Taneja
Different Digits Equivalent Fractions - I
 
PDF

149.

I. J. Taneja
Different Digits Equivalent Fractions - II
 
PDF

150.

I. J. Taneja
Different Digits Equivalent Fractions - III
 
PDF

151.

S. S. Dragomir
Some Inequalities of Holder Type for Quadratic Weighted Geometric Mean of Bounded Linear Operators in Hilbert Spaces
 
PDF

152.

K. Nantomah
Remarks on Some Inequalities for Analogues of the Polygamma Function
 
PDF

153.

S. S. Dragomir
Reverse Inequalities of Holder Type for Quadratic Weighted Geometric Mean of Bounded Linear Operators in Hilbert Spaces
 
PDF

154.

M. V. Boldea
Inequalities of Cebysev Type for Lipschitzian Functions in Banach Algebras
 
PDF

155.

S. S. Dragomir
The Quadratic Relative Entropy for Bounded Linear Operators in Hilbert Spaces
 
PDF

156.

I. J. Taneja
Fibonacci Sequence and Selfie Numbers - III
 
PDF

157.

S. S. Dragomir
Inequalities for Quadratic Operator Perspective of Convex Functions and Bounded Linear Operators in Hilbert Spaces
 
PDFI

158.

S. S. Dragomir
Inequalities for Quantum f-Divergence of Convex Functions and Matrices
 
PDF

159.

I. J. Taneja
Palindromic-Type Numbers and Patterns - I
 
PDF

160.

I. J. Taneja
Crazy Representations of Natural Numbers
 
PDF

161.

S. S. Dragomir
Quadratic Weighted Geometric Mean in Hermitian Unital Banach *-Algebras
 
PDF

162.

S. S. Dragomir
Quadratic Relative Operator Entropy in Hermitian Unital Banach *-Algebras
 
PDF

163.

I. J. Taneja
Selfie Numbers - IV: Addition, Subtraction and Factorial
 
PDF

164.

I. J. Taneja
Selfie Numbers - V: Six Digits Symmetrical Representations with Factorial
 
PDF
 

165.

S. S. Dragomir
Inequalities for Weighted Geometric Mean in Hermitian Unital Banach *-Algebras Via a Result of Cartwright and Field
 
PDF

166.

S. S. Dragomir
Multiplicative Inequalities for Weighted Geometric Mean in Hermitian Unital Banach *-Algebras
 
PDF

167.

I. J. Taneja
Selfie Numbers, Fibonacci Sequence and Selfie Fractions
 
PDF

168.

S. S. Dragomir and C. Buse
Refinements and Reverses for the Relative Operator Entropy S(A|B) when B>A
 
PDF

169.

S. S. Dragomir
Recent Developments of Schwarz's Type Trace Inequalities for Operators in Hilbert Spaces
 
PDF

170.

G. A. Anastassiou
Most General Fractional Self Adjoint Operator Representation Formulae and Operator Poincare
and Sobolev Type and Other Basic Inequalities
 
PDF

171.

S. S. Dragomir
Inequalities of McCarthy's Type in Hermitian Unital Banach *-Algebras
 
PDFI

172.

S. S. Dragomir
Inequalities of Jensen's Type for Positive Linear Functionals on Hermitian Unital Banach *-Algebras
 
PDF

173.

S. S. Dragomir
Inequalities of Gruss' Type for Positive Linear Functionals on Hermitian Unital Banach *-Algebras
 
PDF

174.

S. S. Dragomir
Reverses and Refinements of Jensen's Inequality for Positive Linear Functionals on Hermitian Unital Banach *-Algebras
 
PDF

175.

S. S. Dragomir
Additive Refinements and Reverses of Young and Holder's Inequalities in Hermitian Unital Banach *-Algebras
 
PDF

176.

Y. Erdem, H. Budak and H. Öğünmez
Some Generalized Ostrowski Type Inequalities for Functions Whose Second Derivatives Absolute Values are Convex and Applications
 
PDF

177.

S. S. Dragomir
Multiplicative Refinements and Reverses of Young and Holder's Inequalities in Hermitian Unital Banach *-Algebras
 
PDF

178.

S. S. Dragomir
Cebysev Type Inequalities for Positive Linear Functionals on Hermitian Unital Banach *-Algebras
 
PDF

179.

I. J. Taneja
Crazy Representations of Natural Numbers, Selfie Numbers, Fibonacci Sequence, and Selfie Fractions
 
PDF

180.

S. S. Dragomir and K. Nikodem
Functions Generating (m;M;Ψ )-Schur-Convex Sums
 
PDF

181.

S. S. Dragomir and K. Nikodem
Jensen's and Hermite-Hadamard's Type Inequalities for Lower and Strongly Convex Functions on Normed Spaces
 
PDF

 

 

 

 

Last modified: December 08 2019 23:14:25.

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