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5,249
Exponential growth of Betti numbers
 J. Pure. Appl. Algebra
, 1998
"... Abstract. We prove over some local commutative noetherian rings that the sequence of Betti numbers of every finitely generated module is either eventually constant or has termwise exponential growth. 1. ..."
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Cited by 7 (1 self)
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Abstract. We prove over some local commutative noetherian rings that the sequence of Betti numbers of every finitely generated module is either eventually constant or has termwise exponential growth. 1.
Exponential Growth in Ebola
, 2014
"... ontrary to general opinion, the current Ebola outbreak in West Africa followed an exponential growth curve starting already in midMay. The death toll followed an exponential growth curve with almost the same time constant, allowing direct calculation of the mortality of the outbreak. This value r ..."
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ontrary to general opinion, the current Ebola outbreak in West Africa followed an exponential growth curve starting already in midMay. The death toll followed an exponential growth curve with almost the same time constant, allowing direct calculation of the mortality of the outbreak. This value
On uniform exponential growth for solvable groups
, 2006
"... Using a theorem of J. Groves we give a pingpong proof of Osin’s uniform exponential growth for solvable groups. We discuss slow exponential growth and show that this phenomenon disappears as one passes to a finite index subgroup. ..."
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Cited by 13 (4 self)
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Using a theorem of J. Groves we give a pingpong proof of Osin’s uniform exponential growth for solvable groups. We discuss slow exponential growth and show that this phenomenon disappears as one passes to a finite index subgroup.
OPTIMIZING EXPONENTIAL GROWTH OF TRITICUM AESTIVUM
"... Optimizing exponential growth of Triticum aestivum by application of the relative addition rate (RAR) technique utilizing a computercontrolled nutrient delivery system ..."
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Optimizing exponential growth of Triticum aestivum by application of the relative addition rate (RAR) technique utilizing a computercontrolled nutrient delivery system
Exponential growth bias and household finance,
 Journal of Finance
, 2009
"... Abstract We document two widespread biases in how consumers perceive the costs and benefits of borrowing and saving, and explore the implications of these biases for household finance. Payment/interest bias is the systematic tendency to underestimate a loan interest rate given other loan terms. Fut ..."
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Cited by 41 (5 self)
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. Future value bias is the systematic tendency to underestimate a future value given a present value, time horizon and periodic rate of return. We show that these biases may have a single cognitive source: exponential growth bias, the pervasive tendency to linearize exponential functions. Most importantly
GROUP OF EXPONENTIAL GROWTH
, 709
"... Abstract. Let G be the Lie group R 2 ⋉ R + endowed with the Riemannian symmetric space structure. Let X0, X1, X2 be a distinguished basis of leftinvariant vector fields of the Lie algebra of G and define the Laplacian ∆ = −(X 2 0 +X 2 1 +X 2 2). In this paper we consider the first order Riesz tran ..."
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Abstract. Let G be the Lie group R 2 ⋉ R + endowed with the Riemannian symmetric space structure. Let X0, X1, X2 be a distinguished basis of leftinvariant vector fields of the Lie algebra of G and define the Laplacian ∆ = −(X 2 0 +X 2 1 +X 2 2). In this paper we consider the first order Riesz transforms Ri = Xi ∆ −1/2 and Si = ∆ −1/2 Xi, for i = 0, 1, 2. We prove that the operators Ri, but not the Si, are bounded from the Hardy space H 1 to L 1. We also show that the secondorder Riesz transforms Tij = Xi ∆ −1 Xj are bounded from H 1 to L 1, while the Riesz transforms Sij = ∆ −1 XiXj and Rij = XiXj ∆ −1, for i, j = 0, 1, 2, are not. 1.
The Exponential Growth of Text Capture
, 2011
"... Approved for public release; distribution is unlimited. ..."
ON EXPONENTIAL GROWTH RATES FOR FREE GROUPS
"... Let Fp be a free group of rank p ‚ 2. It is wellknown that, with respect to a pelement generating set, that is, a basis, the exponential growth rate of Fp is 2p ¡ 1. We show that the exponential growth rate ¿ of a group G with respect to a pelement generating set X is 2p ¡ 1 if and only if G is ..."
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Cited by 1 (0 self)
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Let Fp be a free group of rank p ‚ 2. It is wellknown that, with respect to a pelement generating set, that is, a basis, the exponential growth rate of Fp is 2p ¡ 1. We show that the exponential growth rate ¿ of a group G with respect to a pelement generating set X is 2p ¡ 1 if and only if G
Results 1  10
of
5,249