bluuebunny/crossref_metadata_2025_split huggingface dataset:
Packing dimension and Cartesian products
Authors: Bishop Christopher , Peres Yuval 
Published: July 2002

We show that for any analytic set

A
A

in

R

d

\mathbf {R}^d

, its packing dimension

dim

P

⁡
(
A
)

\dim _{\mathrm {P}}(A)

can be represented as

sup
B

{

dim

H

⁡
(
A
×
B
)
−

dim

H

⁡
(
B
)
}

,

\; \sup _B \{ \dim _{\mathrm {H}} (A \times B) -\dim _{\mathrm {H}}(B) \} \, , \,

where the supremum is over all compact sets

B
B

in

R

d

\mathbf {R}^d

, and

dim

H

\dim _{\mathrm {H}}

denotes Hausdorff dimension. (The lower bound on packing dimension was proved by Tricot in 1982.) Moreover, the supremum above is attained, at least if

dim

P

⁡
(
A
)
>
d

\dim _{\mathrm {P}} (A) > d

. In contrast, we show that the dual quantity

inf
B

{

dim

P

⁡
(
A
×
B
)
−

dim

P

⁡
(
B
)
}

,

\; \inf _B \{ \dim _{\mathrm {P}}(A \times B) -\dim _{\mathrm {P}}(B) \} \, , \,

is at least the “lower packing dimension” of

A
A

, but can be strictly greater. (The lower packing dimension is greater than or equal to the Hausdorff dimension.)
Wavelet transform and orthogonal decomposition of space 𝐿² on the Cartan domain 𝐵𝐷𝐼(𝑞=2)
Authors: Jiang Qingtang 
Published: July 2002

LetG=(R+∗×SO0(1,n))⋉Rn+1G=\left ({\mathbb {R}}^{*}_{+}\times SO_{0}(1, n)\right ) \ltimes {\mathbb {R}}^{n+1}be the Weyl-Poincare´\acute egroup andKANKANbe the Iwasawa decomposition ofSO0(1,n)SO_{0}(1, n)withK=SO(n)K=SO(n). Then the “affine Weyl-Poincare´\acute egroup”Ga=(R+∗×AN)⋉Rn+1G_{a}=\left ({\mathbb {R}}^{*}_{+}\times AN\right ) \ltimes {\mathbb {R}}^{n+1}can be realized as the complex tube domainΠ=Rn+1+iC\Pi ={\mathbb {R}}^{n+1}+iCor the classical Cartan domainBDI(q=2)BDI(q=2). The square-integrable representations ofGGandGaG_{a}give the admissible wavelets and wavelet transforms. An orthogonal basis{ψk}\{ \psi _{k}\}of the set of admissible wavelets associated toGaG_{a}is constructed, and it gives an orthogonal decomposition ofL2L^{2}space onΠ\Pi(or the Cartan domainBDI(q=2)BDI(q=2)) with every componentAkA_{k}being the range of wavelet transforms of functions inH2H^{2}withψk\psi _{k}.
The generalized Berg theorem and BDF-theorem
Authors: Lin Huaxin 
Published: July 2002

Let

A
A

be a separable simple

A
F

AF

-algebra with finitely many extreme traces. We give a necessary and sufficient condition for an essentially normal element

x
∈
M
(
A
)

x\in M(A)

, i.e.,

π
(
x
)

\pi (x)

is normal (

π
:
M
(
A
)
→
M
(
A
)

/

A

\pi : M(A)\to M(A)/A

is the quotient map), having the form

y
+
a

y+a

for some normal element

y
∈
M
(
A
)

y\in M(A)

and

a
∈
A
.

a\in A.

We also show that a normal element

x
∈
M
(
A
)

x\in M(A)

can be quasi-diagonalized if and only if the Fredholm index

i
n
d
(
λ
−
x
)
=
0

ind(\lambda -x)=0

for all

λ
∉
s
p
(
π
(
x
)
)
.

\lambda \not \in sp(\pi (x)).

In the case that

A
A

is a simple

C
∗

C^*

-algebra of real rank zero, with stable rank one and with continuous scale,

K
1

(
A
)
=
0
,

K_1(A)=0,

and

K
0

(
A
)

K_0(A)

has countable rank, we show that a normal element

x
∈
M
(
A
)

x\in M(A)

with zero Fredholm index can be written as

x
=

∑

n
=
1

∞

λ
n

(

e
n

−

e

n
−
1

)
+
a
,

\begin{equation*} x=\sum _{n=1}^{\infty }\lambda _n(e_n-e_{n-1})+a, \end{equation*}

where

{

e
n

}

\{e_n\}

is an (increasing) approximate identity for

A
A

consisting of projections,

{

λ
n

}

\{\lambda _n\}

is a bounded sequence of numbers and

a
∈
A

a\in A

with

‖
a
‖
>
ϵ

\|a\|>\epsilon

for any given

ϵ
>
0.

\epsilon >0.
Randomness and semigenericity
Authors: Baldwin John , Shelah Saharon 
Published: July 2002

LetLLcontain only the equality symbol and letL+L^+be an arbitrary finite symmetric relational language containingLL. Suppose probabilities are defined on finiteL+L^+structures with ‘edge probability’n−αn^{-\alpha }. ByTαT^{\alpha }, the almost sure theory of randomL+L^+-structures we mean the collection ofL+L^+-sentences which have limit probability 1.TαT_{\alpha }denotes the theory of the generic structures forKα\mathbb {K}_{\alpha }(the collection of finite graphsGGwithδα(G)=|G|−α⋅|edges of G|\delta _\alpha (G) = |G| - \alpha \cdot |\text {edges of $G$}|hereditarily nonnegative).

Theorem.TαT^{\alpha }, the almost sure theory of randomL+L^+-structures, is the same as the theoryTαT_{\alpha }of theKα\mathbb {K}_{\alpha }-generic model. This theory is complete, stable, and nearly model complete. Moreover, it has the finite model property and has only infinite models so is not finitely axiomatizable.
A theorem of the Dore-Venni type for noncommuting operators
Authors: Monniaux Sylvie , Prüss Jan 
Published: July 2002

A theorem of the Dore-Venni type for the sum of two closed linear operators is proved, where the operators are noncommuting but instead satisfy a certain commutator condition. This result is then applied to obtain optimal regularity results for parabolic evolution equations

u
˙

(
t
)
+
L
(
t
)
u
(
t
)
=
f
(
t
)

\dot {u}(t)+L(t)u(t)=f(t)

and evolutionary integral equations

u
(
t
)
+

∫
0
t

a
(
t
−
s
)
L
(
s
)
u
(
s
)
d
s
=
g
(
t
)

u(t)+\int _0^ta(t-s)L(s)u(s)ds = g(t)

which are nonautonomous. The domains of the involved operators

L
(
t
)

L(t)

may depend on

t
t

, but

L
(
t

)

−
1

L(t)^{-1}

is required to satisfy a certain smoothness property. The results are then applied to parabolic partial differential and integro-differential equations.
Correction and extension of “Measurable quotients of unipotent translations on homogeneous spaces”
Authors: Witte Dave 
Published: July 2002

The statements of Main Theorem 1.1 and Theorem 2.1 of the author’s paper [Trans. Amer. Math. Soc. 345 (1994), 577–594] should assume that

Γ
\Gamma

is discrete and

G
G

is connected. (Corollaries 1.3, 5.6, and 5.8 are affected similarly.) These restrictions can be removed if the conclusions of the results are weakened to allow for the possible existence of transitive, proper subgroups of

G
G

. In this form, the results can be extended to the setting where

G
G

is a product of real and

p
p

-adic Lie groups.
On differential equations for Sobolev-type Laguerre polynomials
Authors: Koekoek J. , Koekoek R. , Bavinck H. 
Published: July 2002

The Sobolev-type Laguerre polynomials

{

L
n

α
,
M
,
N

(
x
)

}

n
=
0

∞

\{L_n^{\alpha ,M,N}(x)\}_{n=0}^{\infty }

are orthogonal with respect to the inner product
\[

⟨
f
,
g
⟩

=

1

Γ
(
α
+
1
)

∫
0

∞

x

α

e

−
x

f
(
x
)
g
(
x
)
d
x
+
M
f
(
0
)
g
(
0
)
+
N

f
′

(
0
)

g
′

(
0
)
,

\langle f,g\rangle \;=\frac {1}{\Gamma (\alpha +1)}\int _0^{\infty }x^{\alpha }e^{-x}f(x)g(x)dx+Mf(0)g(0)+ Nf’(0)g’(0),

\]
where

α
>
−
1

\alpha >-1

,

M
≥
0

M\ge 0

and

N
≥
0

N\ge 0

. In 1990 the first and second author showed that in the case

M
>
0

M>0

and

N
=
0

N=0

the polynomials are eigenfunctions of a unique differential operator of the form
\[

M

∑

i
=
1

∞

a
i

(
x
)

D
i

+
x

D
2

+
(
α
+
1
−
x
)
D
,

M\sum _{i=1}^{\infty }a_i(x)D^i+xD^2+(\alpha +1-x)D,

\]
where

{

a
i

(
x
)
}

i
=
1

∞

\left \{a_i(x)\right \}_{i=1}^{\infty }

are independent of

n
n

. This differential operator is of order

2
α
+
4

2\alpha +4

if

α
\alpha

is a nonnegative integer, and of infinite order otherwise. In this paper we construct all differential equations of the form

a
m
p
;
M

∑

i
=
0

∞

a
i

(
x
)

y

(
i
)

(
x
)
+
N

∑

i
=
0

∞

b
i

(
x
)

y

(
i
)

(
x
)

a
m
p
;

+
M
N

∑

i
=
0

∞

c
i

(
x
)

y

(
i
)

(
x
)
+
x
y
(
x
)
+
(
α
+
1
−
x
)

y
′

(
x
)
+
n
y
(
x
)
=
0
,

\begin{align} &M\sum _{i=0}^{\infty }a_i(x)y^{(i)}(x)+ N\sum _{i=0}^{\infty }b_i(x)y^{(i)}(x)\\ &\hspace {1cm}{}+MN\sum _{i=0}^{\infty }c_i(x)y^{(i)}(x)+ xy(x)+(\alpha +1-x)y’(x)+ny(x)=0, \end{align}

where the coefficients

{

a
i

(
x
)
}

i
=
1

∞

\left \{a_i(x)\right \}_{i=1}^{\infty }

,

{

b
i

(
x
)
}

i
=
1

∞

\left \{b_i(x)\right \}_{i=1}^{\infty }

and

{

c
i

(
x
)
}

i
=
1

∞

\left \{c_i(x)\right \}_{i=1}^{\infty }

are independent of

n
n

and the coefficients

a
0

(
x
)

a_0(x)

,

b
0

(
x
)

b_0(x)

and

c
0

(
x
)

c_0(x)

are independent of

x
x

, satisfied by the Sobolev-type Laguerre polynomials

{

L
n

α
,
M
,
N

(
x
)

}

n
=
0

∞

\{L_n^{\alpha ,M,N}(x)\}_{n=0}^{\infty }

. Further, we show that in the case

M
=
0

M=0

and

N
>
0

N>0

the polynomials are eigenfunctions of a linear differential operator, which is of order

2
α
+
8

2\alpha +8

if

α
\alpha

is a nonnegative integer and of infinite order otherwise. Finally, we show that in the case

M
>
0

M>0

and

N
>
0

N>0

the polynomials are eigenfunctions of a linear differential operator, which is of order

4
α
+
10

4\alpha +10

if

α
\alpha

is a nonnegative integer and of infinite order otherwise.
The Calabi invariant and the Euler class
Authors: Tsuboi Takashi 
Published: July 2002

We show the following relationship between the Euler class for the group of the orientation preserving diffeomorphisms of the circle and the Calabi invariant for the group of area preserving diffeomorphisms of the disk which are the identity along the boundary. A diffeomorphism of the circle admits an extension which is an area preserving diffeomorphism of the disk. For a homomorphism

ψ
\psi

from the fundamental group

⟨

a

1

,
⋯
,

a

2
g

;
[

a

1

,

a

2

]
⋯
[

a

2
g
−
1

,

a

2
g

]
⟩

\langle a_{1}, \cdots , a_{2g} ; [a_{1},a_{2}]\cdots [a_{2g-1},a_{2g}]\rangle

of a closed surface to the group of the diffeomorphisms of the circle, by taking the extensions

ψ
(
a

~

i

)

\widetilde {\psi (a}_{i})

for the generators

a

i

a_{i}

, one obtains the product

[

ψ
(
a

~

1

)
,

ψ
(
a

~

2

)
]
⋯
[

ψ
(
a

~

2
g
−
1

)
,

ψ
(
a

~

2
g

)
]

[\widetilde {\psi (a}_{1}),\widetilde {\psi (a}_{2})]\cdots [\widetilde {\psi (a}_{2g-1}),\widetilde {\psi (a}_{2g})]

of their commutators, and this is an area preserving diffeomorphism of the disk which is the identity along the boundary. Then the Calabi invariant of this area preserving diffeomorphism is a non-zero multiple of the Euler class of the associated circle bundle evaluated on the fundamental cycle of the surface.
Embeddings of open manifolds
Authors: Cardim Nancy 
Published: July 2002

Let

T
O
P
(
M
)

TOP(M)

be the simplicial group of homeomorphisms of

M
M

. The following theorems are proved. Theorem A. Let

M
M

be a topological manifold of dim

≥
\geq

5 with a finite number of tame ends

ε

i

\varepsilon _{i}

,

1
≤
i
≤
k

1\leq i\leq k

. Let

T
O

P

e
p

(
M
)

TOP^{ep}(M)

be the simplicial group of end preserving homeomorphisms of

M
M

. Let

W

i

W_{i}

be a periodic neighborhood of each end in

M
M

, and let

p

i

:

W

i

→

R

p_{i}: W_{i} \to \mathbb {R}

be manifold approximate fibrations. Then there exists a map

f
:
T
O

P

e
p

(
M
)
→

∏

i

T
O

P

e
p

(

W

i

)

f: TOP^{ep}(M) \to \prod _{i} TOP^{ep}(W_{i})

such that the homotopy fiber of

f
f

is equivalent to

T
O

P

c
s

(
M
)

TOP_{cs}(M)

, the simplicial group of homeomorphisms of

M
M

which have compact support. Theorem B. Let

M
M

be a compact topological manifold of dim

≥
\geq

5, with connected boundary

∂
M

\partial M

, and denote the interior of

M
M

by

I
n
t
M

Int M

. Let

f
:
T
O
P
(
M
)
→
T
O
P
(
I
n
t
M
)

f: TOP(M)\to TOP(Int M)

be the restriction map and let

G

\mathcal {G}

be the homotopy fiber of

f
f

over

i

d

I
n
t
M

id_{Int M}

. Then

π

i

G

\pi _{i} \mathcal {G}

is isomorphic to

π

i

C

(
∂
M
)

\pi _{i} \mathcal {C} (\partial M)

for

i
>
0

i > 0

, where

C

(
∂
M
)

\mathcal {C} (\partial M)

is the concordance space of

∂
M

\partial M

. Theorem C. Let

q

0

:
W
→

R

q_{0}: W \to \mathbb {R}

be a manifold approximate fibration with dim

W
≥

W \geq

5. Then there exist maps

α
:

π

i

T
O

P

e
p

(
W
)
→

π

i

T
O
P
(

W
^

)

\alpha : \pi _{i} TOP^{ep}(W) \to \pi _{i} TOP(\hat W)

and

β
:

π

i

T
O
P
(

W
^

)
→

π

i

T
O

P

e
p

(
W
)

\beta : \pi _{i} TOP(\hat W) \to \pi _{i} TOP^{ep}(W)

for

i
>
1

i >1

, such that

β
∘
α
≃
i
d

\beta \circ \alpha \simeq id

, where

W
^

\hat W

is a compact and connected manifold and

W
W

is the infinite cyclic cover of

W
^

\hat W

.
SCPD: a promoter database of the yeast Saccharomyces cerevisiae.
Authors: Zhu J , Zhang M Q 
Published: July 2002

Abstract
MOTIVATION: In order to facilitate a systematic study of the promoters and transcriptionally regulatory cis-elements of the yeast Saccharomyces cerevisiae on a genomic scale, we have developed a comprehensive yeast-specific promoter database, SCPD. RESULTS: Currently SCPD contains 580 experimentally mapped transcription factor (TF) binding sites and 425 transcriptional start sites (TSS) as its primary data entries. It also contains relevant binding affinity and expression data where available. In addition to mechanisms for promoter information (including sequence) retrieval and a data submission form, SCPD also provides some simple but useful tools for promoter sequence analysis. AVAILABILITY: SCPD can be accessed from the URL http://cgsigma.cshl.org/jian. The database is continually updated.
Infectious exacerbations of chronic bronchitis: diagnosis and management
Authors: Sethi Sanjay 
Published: July 2002

Abstract
Chronic bronchitis is an increasing cause of significant morbidity and mortality. Despite treatment, respiratory tract infection is the most common identifiable cause of death for patients with chronic obstructive pulmonary disease. Repeated infectious exacerbations may ultimately cause acute and chronic lung injury. The most common bacterial aetiologies of acute exacerbations of chronic bronchitis (AECB) include Haemophilus influenzae, Moraxella catarrhalis and Streptococcus pneumoniae.Pseudomonas aeruginosa is often a nosocomial pathogen and is becoming more prevalent in patients with severe underlying disease. Viruses are responsible for approximately one-third of acute exacerbations overall. Atypical pathogens are causative pathogens in &lt;10% of episodes. The diagnosis of AECB is often based on clinical impression, although suspicion of bacterial infection can be enhanced by quantitative Gram's stains from appropriately obtained sputum specimens. However, a specific microbiological diagnosis is only needed in certain specific situations. Management of AECB involves non-drug interventions (e.g. smoking cessation) and antibiotic treatment. Recommendations for antibiotic use in patients with known or highly suspected AECB are still evolving. The selection of an antibiotic for treatment of an infectious episode must consider underlying patient co-morbidities, likely pathogens, resistance issues and individual antibiotic properties. Cephalosporins, β-lactam/β-lactamase inhibitor combinations and macrolides are all reasonable choices. However, due to the increasing prevalence of resistance to standard antibiotics among common respiratory pathogens, and increased incidence of Pseudomonas spp., fluoroquinolones should be a first-line treatment for AECB in patients who have chronic bronchitis complicated by co-morbid illness, severe obstruction (FEV 1 &lt; 50%), old age (&gt;65 years) or have recurrent exacerbations. In patients who do not have these risk factors (i.e. those with simple chronic bronchitis), agents such as co-trimoxazole remain useful.
The NSF Convergence Accelerator program
Authors: Baru Chaitanya , Campbell Lara , Dade Aurali , Fulay Pradeep , Loewi Alex , Maughan Douglas , Mohedas Ibrahim , Molnar Linda , Pozmantier Michael , Reksulak Michael , Smith Shelby , Tehrani Nicole 
Published: May 2022

AbstractThe National Science Foundation's Convergence Accelerator is a unique program offering researchers and innovators the opportunity to translate research results into tangible solutions that make a difference for society. Through an intense innovation curriculum and a mentorship program, researchers gain skills and experiences that are of use not only during this program but throughout their careers. This article describes the NSF Convergence Accelerator program and its initial funded convergence research topics—or “tracks”—funded in 2019 and 2020. In almost every track and NSF‐funded project, artificial intelligence and machine learning (AI/ML) approaches and methods are playing an essential role.
Knowledge graphs to support real‐time flood impact evaluation
Authors: Johnson J. Michael , Narock Tom , Singh‐Mohudpur Justin , Fils Doug , Clarke Keith C. , Saksena Siddharth , Shepherd Adam , Arumugam Sankar , Yeghiazarian Lilit 
Published: May 2022

AbstractA digital map of the built environment is useful for a range of economic, emergency response, and urban planning exercises such as helping find places in app driven interfaces, helping emergency managers know what locations might be impacted by a flood or fire, and helping city planners proactively identify vulnerabilities and plan for how a city is growing. Since its inception in 2004, OpenStreetMap (OSM) sets the benchmark for open geospatial data and has become a key player in the public, research, and corporate realms. Following the foundations laid by OSM, several open geospatial products describing the built environment have blossomed including the Microsoft USA building footprint layer and the OpenAddress project. Each of these products use different data collection methods ranging from public contributions to artificial intelligence, and if taken together, could provide a comprehensive description of the built environment. Yet, these projects are still siloed, and their variety makes integration and interoperability a major challenge. Here, we document an approach for merging data from these three major open building datasets and outline a workflow that is scalable to the continental United States (CONUS). We show how the results can be structured as a knowledge graph over which machine learning models are built. These models can help propagate and complete unknown quantities that can then be leveraged in disaster management.
Isolations of the Spring Viremia of Carp Virus in the Upper Mississippi River (USA), Including a New Host, the Quillback
Authors: Katona Ryan , Standish Isaac , McCann Rebekah , Dziki Sara , Bailey Jennifer , Puzach Corey , Warg Janet , Leis Eric , Phillips Kenneth 
Published: May 2022

Abstract
In July of 2018 and 2019, wild fish health surveys were conducted along the Wisconsin and Minnesota portions of the upper Mississippi River. Spring viremia of carp virus (SVCV) was isolated from Common Carp Cyprinus carpio as well as a newly identified host species, the Quillback Carpiodes cyprinus. Sanger sequencing of the gene encoding for the G protein revealed a high similarity of the Quillback isolate to various SVCV isolates identified from Common Carp that were collected during earlier wild fish health surveys and mortality events in the USA. Despite annual monitoring, this virus has been infrequently identified. The speculative role of native fish and invertebrates in allowing the virus to persist for long periods without detection is discussed.
Nitrogen‐Doped Bimetallic Carbide‐Graphite Composite as Highly Active and Extremely Stable Electrocatalyst for Oxygen Reduction Reaction in Alkaline Media
Authors: Yan Zaoxue , Zhang Yanqi , Jiang Zhifeng , Jiang Deli , Wei Wei , Hu Zhuofeng 
Published: May 2022

AbstractIt is demonstrated that nitrogen‐doped bimetallic carbide‐graphite composite (N‐Fe2MoC‐GC) has much superior oxygen reduction reaction (ORR) activity to commercial Pt/C with ultrahigh stability, and excellent anti‐methanol and anti‐CO performances. The N‐Fe2MoC‐GC has a high initial half‐wave potential of 0.887 V (versus RHE); its mass activity (83 mA mgcat.−1 at 0.9 V versus RHE) is 2.2 times that of Pt/C (40 wt%, 39 mA mgcat.−1). In H2/O2 alkaline fuel cell, the N‐Fe2MoC‐GC keeps 92.9% of the initial power density (1.12 W cm−2) within 70 000 cycles, ranking it as one of the most active and stable noble metal‐free catalysts reported to date. Moreover, the N‐Fe2MoC‐GC keeps high power density even under low relative humidity or at high operation temperature. The positive charge on Fe and Mo atoms caused by electron transfer from Fe2MoC to N is believed to lead to the excellent ORR activity. The inherent electrochemical stability of the Fe2MoC and graphite matrix, as well as the strong interaction between components of catalyst caused by electron transfer, accounts for the ultrahigh stability.
A Biomaterial‐Based Porous Core–Shell Sorbent for Practical and Efficient Marine Oil Spill Recovery
Authors: Raju Cijil , Mathew Liby Ann , Sureshan Kana M. 
Published: May 2022

AbstractA core–shell sorbent is developed using natural fibers for marine oil spill recovery. The core of the sorbent is made using coir fibers, which is then covered with a thin layer of shell made from cotton impregnated with a phase selective oleogelator, 12‐hydroxystearic acid. The pore volume that is available for oil uptake amounts to 85–90% of the total volume of the sorbent. When it is introduced to a crude oil–water mixture, the sorbent selectively absorbs the oil instantaneously. The gelator in the shell congeals the oil in the shell matrix, forming a rigid enclosure for the absorbed oil and this allows the collection of the oil‐absorbed sorbents without dripping. The absorbed oil can be recovered quantitatively by simple pressing. The method is general and works with all kinds of crude oils. The cheaply available natural raw materials and easy preparation make this method attractive in terms of economy, reliability, scalability, practicability, and greenness.
Application and Perspectives of Supercritical Fluid Technology in the Nutraceutical Industry
Authors: Li Lei , Chen Minyi , Zeng Yun , Liu Gang 
Published: May 2022

AbstractSupercritical fluid extraction (SFE) is an eco‐friendly technology that has attracted a great amount of attention in the food and nutraceutical industries due to its considerable benefits over conventional techniques. It has high selectivity and can be employed to extract heat sensitive, easily oxidized compounds with high efficiency. Less organic solvent is used during extraction, leaving no toxic residues in the product. With these advantages, SFE has been widely applied in bioactive compound extraction from natural plant materials or by‐products. This review summarizes the recent application of SFE in nutraceutical industries including recovery of carotenoids, phenolic compounds, lipids, flavor and fragrance, and decaffeination of tea and coffee. The key parameters affecting SFE are also discussed with focuses on pretreatment, temperature and pressure, flow rate, extraction time, and cosolvent/modifier. Overall, this review builds a comprehensive picture of SFE application in the nutraceutical industry. It is anticipated that this article can provide useful information for researchers to pursue more applications of this technology in the food and nutraceutical industries.