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An intermediate value theorem . . .
, 2005
"... We prove an intermediate value theorem of an arithmetical flavor, involving the consecutive averages {¯xn}n≥1 of sequences with terms in a given finite set {a1,..., ar}. For every such set we completely characterize the numbers Π (”intermediate values”) with the property that the consecutive average ..."
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We prove an intermediate value theorem of an arithmetical flavor, involving the consecutive averages {¯xn}n≥1 of sequences with terms in a given finite set {a1,..., ar}. For every such set we completely characterize the numbers Π (”intermediate values”) with the property that the consecutive
THE AFTERMATH OF THE INTERMEDIATE VALUE THEOREM
, 2004
"... The solvability of nonlinear equations has awakened great interest among mathematicians for a number of centuries, perhaps as early as the Babylonian culture (3000–300 B.C.E.). However, we intend to bring to our attention that some of the problems studied nowadays appear to be amazingly related to ..."
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to the time of Bolzano’s era (1781–1848). Indeed, this Czech mathematician or perhaps philosopher has rigorously proven what is known today as the intermediate value theorem, a result that is intimately related to various classical theorems that will be discussed throughout this work. 1.
The Cantor intermediate value property
 Top. Proc
"... J. Stallings [9] asked the question: "If one considers 2I = [0,1] embedded in I x I 1 as I x 0, can a connectivity function I ~ X be extended to a connectivity function 21 ~ X? " J. L. Corne'tte [3] and J. H. Roberts [8] gave negative answers to this question. A natural question 2 a ..."
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Cited by 1 (1 self)
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arises: "In order for the extension 1 ~ I of a connectivity function I ~ I to be a connectivity function, what is both necessary and sufficient? " Toward this end we defined the Cantor Intermediate Value Property (CIVP) which is given in definition 2. The relationship between the Cantor
Hereditary Indecomposability And The Intermediate Value Theorem
, 2001
"... We show that hereditarily indecomposable spaces can be characterized by a special instance of the Intermediate Value Theorem in their ring of continuous functions. ..."
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We show that hereditarily indecomposable spaces can be characterized by a special instance of the Intermediate Value Theorem in their ring of continuous functions.
Financial Intermediation and Growth: Causality and Causes
 JOURNAL OF MONETARY ECONOMICS
, 2000
"... This paper evaluates (1) whether the exogenous component of financial intermediary development influences economic growth and (2) whether crosscountry differences in legal and accounting systems (e.g., creditor rights, contract enforcement, and accounting standards) explain differences in the level ..."
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Cited by 788 (71 self)
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This paper evaluates (1) whether the exogenous component of financial intermediary development influences economic growth and (2) whether crosscountry differences in legal and accounting systems (e.g., creditor rights, contract enforcement, and accounting standards) explain differences in the level of financial development. Using both traditional crosssection, instrumental variable procedures and recent dynamic panel techniques, we find that the exogenous components of financial intermediary development is positively associated with economic growth. Also, the data show that crosscountry differences in legal and accounting systems help account for differences in financial development. Together, these findings suggest that legal and accounting reforms that strengthen creditor rights, contract enforcement, and accounting practices can boost financial development and accelerate economic growth.
The Optimal Degree of Commitment to an Intermediate Monetary Target
 QUARTERLY JOURNAL OF ECONOMICS
, 1985
"... ..."
Financial Intermediation, Loanable Funds, and the Real Sector
 Quarterly Journal of Economics
, 1997
"... We study an incentive model of ®nancial intermediation in which ®rms as well as intermediaries are capital constrained. We analyze how the distribution of wealth across ®rms, intermediaries, and uninformed investors affects investment, interest rates, and the intensity of monitoring. We show that al ..."
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Cited by 494 (5 self)
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We study an incentive model of ®nancial intermediation in which ®rms as well as intermediaries are capital constrained. We analyze how the distribution of wealth across ®rms, intermediaries, and uninformed investors affects investment, interest rates, and the intensity of monitoring. We show
Parametric Shape Analysis via 3Valued Logic
, 2001
"... Shape Analysis concerns the problem of determining "shape invariants"... ..."
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Cited by 660 (79 self)
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Shape Analysis concerns the problem of determining "shape invariants"...
MapReduce: Simplified Data Processing on Large Clusters
, 2004
"... MapReduce is a programming model and an associated implementation for processing and generating large data sets. Users specify a map function that processes a key/value pair to generate a set of intermediate key/value pairs, and a reduce function that merges all intermediate values associated with t ..."
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Cited by 3236 (3 self)
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MapReduce is a programming model and an associated implementation for processing and generating large data sets. Users specify a map function that processes a key/value pair to generate a set of intermediate key/value pairs, and a reduce function that merges all intermediate values associated
INTERMEDIATE VALUES AND INVERSE FUNCTIONS ON Nonarchimedean Fields
"... Continuity or even differentiability of a function on a closed interval of a nonArchimedean field are not sufficient for the function to assume all the intermediate values, a maximum, a minimum or a unique primitive function on the interval. These problems are due to the total disconnectedness of ..."
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Cited by 8 (8 self)
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Continuity or even differentiability of a function on a closed interval of a nonArchimedean field are not sufficient for the function to assume all the intermediate values, a maximum, a minimum or a unique primitive function on the interval. These problems are due to the total disconnectedness
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