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Darboux property for functions of several variables

1963
*
Transactions of the American Mathematical Society
*

A

doi:10.1090/s0002-9947-1963-0148811-6
fatcat:y6vqvxiv45bydon5piyiht2dcm
*function*/: E1 -ȣ! is said to have the Darboux*property*if for a < b and u between/(a), f(b) there is te(a,b) satisfying f(t) = u. ... Theorem 7 . 7 For continuous,*differ*entiable interval*functions*<j>*with*derivative <!>' the following holds:*balanced*-*■ MV-*property*-» Darboux*property*of <j>'. ...*Note*that <j> is*balanced*, but not continuous. If we let for / e {/},*d*{I) = dist (/, x0), then the interval*function*«l)-|Z|1+W> is continuous*with*<¡>\x) = Q,x^ x0, and <p'(x0) = 1. ...##
###
Darboux Property For Functions of Several Variables

1963
*
Transactions of the American Mathematical Society
*

A

doi:10.2307/1993864
fatcat:4aw65so2pbb77ni7cdz7xr47de
*function*/: E1 -ȣ! is said to have the Darboux*property*if for a < b and u between/(a), f(b) there is te(a,b) satisfying f(t) = u. ... Theorem 7 . 7 For continuous,*differ*entiable interval*functions*<j>*with*derivative <!>' the following holds:*balanced*-*■ MV-*property*-» Darboux*property*of <j>'. ...*Note*that <j> is*balanced*, but not continuous. If we let for / e {/},*d*{I) = dist (/, x0), then the interval*function*«l)-|Z|1+W> is continuous*with*<¡>\x) = Q,x^ x0, and <p'(x0) = 1. ...##
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Cryptographic properties of a simple S-box construction based on a Boolean function and a permutation

Криптографические свойства простой конструкции S-блока на основе на булевой функции и перестановки

2020
*
Prikladnaya diskretnaya matematika Prilozhenie
*

Криптографические свойства простой конструкции S-блока на основе на булевой функции и перестановки

If |M k π,n | = |M k ρ,n | for

doi:10.17223/2226308x/13/13
fatcat:33tc3w5skjhkrdwoshrqsrypwm
*some*k, then the set of*one*-to-*one**functions*from ∆ π,n is empty. ... We study cryptographic*properties*of F π such as high nonlinearity,*balancedness*, low differential δ-uniformity in dependence*on**properties*of f and π for small n. ...##
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Page 173 of Classical Philology Vol. 46, Issue 3
[page]

1951
*
Classical Philology
*

as a

*property*of color.‘*Balance*is, as Timaeus 52*D*-E makes clear, a*property*of weight, not of volume or of color. ... a whole is that of equilibrium, a*property*de- termined by the relative shapes and volumes of parts (Timaeus 58*D*ff.), which we observe empirically (*on*a macroscopic scale) as*differ*- ences in hardness ...##
###
Fallacy of the Multiplier Effect: Correcting the Income Analysis

2006
*
Social Science Research Network
*

This

doi:10.2139/ssrn.938327
fatcat:wfei7d2oqrgfhfjh32ilv7b2qe
*note*shows that useless public works is equivalent to unemployment relief expenditure in the presence of unemployment and that the argument*on*the multiplier effect seriously misleads the present ... However, it has a serious fallacy even if we accept the consumption*function*. ... From (2) , (3) and (4)*one*has y*d*= c(y*d*) + i, showing that neither z nor g has any effect*on*disposable income y*d*:*d*y*d*/dg = 0, dy*d*/dz = 0. (6) Since (2) , (3) and (5) imply y v − θg ...##
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Analysis of a Classical Matrix Preconditioning Algorithm
[article]

2015
*
arXiv
*
pre-print

A

arXiv:1504.03026v2
fatcat:rhdcdtyn5veaxpp4ob3bjbraci
*balancing*operation scales the ith row and column so that their maximum entries are equal, and requires O(m/n) arithmetic operations*on*average, where m is the number of non-zero elements in A. ... This is the first time bound of any kind*on*any variant of the Osborne-Parlett-Reinsch algorithm. ... We have analyzed*one*variant of the Osborne-Parlett-Reinsch algorithm, namely the L ∞ version*with**some*additional conditions*on*the order of*balancing*operations. ...##
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An Iterated Min-Max Procedure for Practical Workload Balancing on Non-Identical Parallel Machines in Manufacturing Systems

2019
*
European Journal of Operational Research
*

The Iterated Min-Max (IMM) procedure is then presented,

doi:10.1016/j.ejor.2019.06.007
fatcat:32szmiotcbfcbl5fqtprk6jzcu
*with*its*properties*, and illustrated. ... This paper presents an original approach for a practical workload*balancing*problem*on*non-identical parallel machines in manufacturing systems. ... Acknowledgements This work has been partially financed by the ANRT (Association Nationale de la Recherche et de la Technologie) through the PhD number 2016/0421*with*CIFRE funds and a cooperation contract ...##
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Is wealth driving the income distribution? An Analysis of the link between income and wealth between 1995 and 2016 in Finland

2020
*
Statistical Journal of the IAOS
*

Framework After this, the

doi:10.3233/sji-200649
fatcat:xtq7wjze3nb6bapj5ug2nz4uzi
*balance*sheets are linked at the instrument level*with*the corresponding*property*income flows (B). ... Table 3 presents steps A and B, which shows how the national*balance*sheets are linked*with*the corresponding*property*income flows. ...##
###
Space-Bounded Kolmogorov Extractors
[chapter]

2012
*
Lecture Notes in Computer Science
*

An extractor is a

doi:10.1007/978-3-642-30642-6_25
fatcat:zmmsldwo2vcrjhazbr5mtevpay
*function*that receives*some*randomness and either "improves" it or produces "new" randomness. There are statistical and algorithmical specifications of this notion. ... Following Zimand we prove the existence of such objects*with*certain parameters. ... To get the strong Kolmogorov extractor*property*we need to replace a*balanced*table by a rainbow*balanced**one**with*parameters (2 k ,Q = 2 m−*d*) where again*d*= δ + c log n. ...##
###
Summing up Smart Transitions
[chapter]

2021
*
Lecture Notes in Computer Science
*

We prove the decidablity of

doi:10.1007/978-3-030-81685-8_15
fatcat:7qvy3vdtfffklfxgjy2orurrpy
*one*of our extensions and the undecidability of a slightly richer*one*. We introduce first-order encodings to automate reasoning over software transitions*with*summations. ... AbstractSome of the most significant high-level*properties*of currencies are the sums of certain account*balances*.*Properties*of such sums can ensure the integrity of currencies and transactions. ... We thank Petra Hozzová for fruitful discussions*on*our encodings and Sharon Shoham-Buchbinder for her insights and contributions to this paper. ...##
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Difference Balanced Functions and Their Generalized Difference Sets
[article]

2013
*
arXiv
*
pre-print

In the literature, all existing such

arXiv:1309.7842v1
fatcat:ozpyylng6ffh3nujq4cqam7b2y
*functions*are associated*with*the*d*-homogeneous*property*, and it was conjectured by Gong and Song that*difference**balanced**functions*must be*d*-homogeneous. ... First we characterize*difference**balanced**functions*by generalized*difference*sets*with*respect to two exceptional subgroups. ... Suppose that a*function*f : F * p n → F p is*difference**balanced*. Then f must be*d*-homogeneous, i.e., f (ax) = a*d*f (x) for each a ∈ F * p*with*gcd(*d*, p − 1) = 1. Proof. ...##
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Tiling pictures of the plane with dominoes

1997
*
Discrete Mathematics
*

We consider the problem of tiling

doi:10.1016/s0012-365x(96)00179-3
fatcat:arbpjmvdkbgqxp3s5bra4vgmiy
*with*dominoes pictures of the plane. in theoretical and algorithmic aspects. For generalities and other tiling problems, see for example Refs. ... Such a*function*is called a height*function**on*the picture.*Note*that for every vertex t of C we have h(t) < g(t). ... every vertex s E Ci*with*a given value U, we have h(s)*d*c: and we have equality for*some*vertex of Ci (to do that, calculate any height*function**on*Ci, and adjust it by means of a constant). ...##
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Capacities of graphs and 2-matchings

1998
*
Discrete Mathematics
*

A graph G is symmetric

doi:10.1016/s0012-365x(97)00188-x
fatcat:5nxkx2wzgfe5fiuuqgol624eje
*with*respect to a*functional*Fc(P) defined*on*the set of all the probability distributions*on*its vertex set if the distribution P* maximizing Fa(P) is uniform*on*V(G). ... We show that the class of graphs which are symmetric for the*functional*appearing in the capacity formula of Cohen et al. (1968) and Gargano et al. (1993) coincides*with*the graphs admitting a 2-matching ... (such edges exist by the*property*of support of*d*(P)). ...##
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A domain with non-plurisubharmonic d-balanced squeezing function
[article]

2022
*
arXiv
*
pre-print

In this

arXiv:2202.02740v1
fatcat:3jygnmybczdhbhdqqb6t3fgtvq
*note*, we give an example of a domain whose*d*-*balanced*squeezing*function*is non-plurisubharmonic. ... It should be*noted*here that domain G 2 has several interesting*properties*. ... Then, each holomorphic fucntion f*on*Ω \ K extends to a holomorphic*function**on*Ω. Result 2.4 (see Proposition 1 in [7]). Let Ω ⊆ C n be a*balanced*domain and let h*d*,Ω be its*d*-Minkowski*function*. ...##
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On the security of name-stamp protocols

1985
*
Theoretical Computer Science
*

*One*important assumption is that for two

*different*users X and Y, the set {Ex, Dx, ix, dx, Ey, Dy, iy, dy,

*d*} consists of nine

*different*

*functions*. ...

*property*

*with*respect to X and, for all j= 1,..., t', flj(X, Y) has the

*balancing*

*property*

*with*respect to Y. ...

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