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Integrals
积分
常用释义
词性释义
[数]积分
完整（integral 的复数）
例句
全部
积分
We
have
been working with
triple
integrals
and
seeing
how to
set
them
up
in
all sorts
of
coordinate systems
.
我们目前已经学习了三重积分，以及如何在各种坐标系中建立它们。
OK
,
so the
main
thing
to
know
about
this
exam
is
how to set up
and
evaluate
double
integrals
and
line
integrals
.
这次考试主要内容是，考察对二重积分和线积分的理解。
When
you
do
single
integrals
it is usually
not
to
find
the
area
of
some
region of
a
plane
.
当我们在做一重积分时，并不是为了去求平面某区域的面积。
OK
,
if
that's
not
completely
clear
to
you
,
then I
encourage
you
to
go
over
how
we
set
up
double
integrals
again
.
如果你还不是完全清楚，建议你去复习一下，如何建立二重积分。
By
means
of
properties
of
certain
combinations
of
complete
elliptic
integrals
,
the authors provide
a
negative answer
to
M.
本文利用完全椭圆积分的某些组合之性质，给出了M。
From
magnetic
fields
in
PF
coils
of EAST
expressed
as
elliptic
integrals
,
the
heat
load
of PF
coils
during
plasma
discharge
is
determined
.
通过求解椭圆积分，计算了EAST极向场系统的磁场分布，从而计算出极向场线圈在等离子体放电过程中的热负荷。
After
spending
a
lot
of
time
telling
you
how
to
compute
surface
integrals
,
now
I
am going to try to
tell
you
how
to
avoid
computing
them
.
在我花了这么多时间来告诉你们，如何计算曲面积分之后，我打算告诉你们，如何避免计算它们。
Integrals
over
a
real
interval
,
integrals
depending
on
a
parameter
.
在一个真正的间隔积分，根据积分的参数。
The
application
of
the
simplified
Fermionic
integrals
reveals
that
the
carrier
concentration
varies
with
temperature
change
.
利用费米积分的简化方案，揭示了载流子浓度随温度变化的规律。
OK
.
Let me
move
on
a
bit
because
we
have
a lot
of
other
kinds
of
integrals
to
see
.
我们继续吧，还有很多其他的积分类型要看。
It
will
also
be
capable of evaluating
definite
integrals
and
Riemann
sums
.
同时，它还可处理定积分和黎曼积分。
A
discrete
conservative
remapping
algorithm
based
upon refinement
and
numerical
integrals
, named
particle
remapping
algorithm, is
presented
.
提出基于细分和数值积分思想的一种离散的守恒重映方法———质点重映方法。
Lists
are
used
to
represent
vectors
,
matrices
,
tensors
,
sets
, ranges
of
integrals
and
plots, andes
groups
of
arguments
in
functions
.
列表可以用来表示向量，矩阵，张量，集合，数列和图形，以及函数中的自变量集组。
OK
.
So
,
next
,
let me
tell
you
about how
to
avoid
computing
like
integrals
.
下面，告诉你避免计算积分的办法。
Green
's
theorem
and
applications
,
triple
integrals
,
line
and
surface
integrals
in
space
,
Divergence
theorem
, Stokes'
theorem
;
applications
.
格林定理及其应用、三重积分、空间中的线积分和面积分、散度定理、斯托克斯定理应用。
The
difficulty
of the treatment of the
nearly
singular
integrals
hindered
applications
of
Boundary
Element
Method
(BEM)
.
几乎奇异积分的计算困难阻碍了边界元法的工程应用。
In
particular
,
a
conjecture
on
complete
elliptic
integrals
is
proved
to
be true
and
improved
.
特别地，作者运用此法则，证明并改进了关于完全椭圆积分的一个猜测。
The
quantum
information
can
be taken
from
the
classical
description
of
physics
by
Feynman
path
integrals
.
通过费曼路径积分可以从物理学的经典描述中提取量子信息。
The
claim
is we
are
able
,
to
do
double
integrals
in
polar
coordinates
.
这也就说明了，可以用极坐标做二重积分。
The
main
theory
of the
approach
is
has
ed
on
the
error
function
,
its
repeated
integrals
and
some
recurrence
relations
.
此方法的主要理论是基于误差函数、它的累次积分及一些递推公式。
This
paper
discusses
the
asymptotic
rate
of
"
mean
value
point
"
in
second
mean
value
theorem
for
integrals
.
本文主要讨论了第二积分中值定理“中值点”的渐近速度。
Line
integrals
are
used
extensively
in
the
theory
of
functions
of a
complex
variable
.
在复变量函数理论中广泛使用线积分。
What
if
I
add
all
of
the
small
line
integrals
?
那如果将所有线积分都加起来呢？
Also
,
second
year
calculus
,
including
differential
equations
and
surface
and
volume
integrals
.
此外，第二年微积分，包括微分方程和表面和体积积分。
So
,
the
fundamental
theorem
of
calculus
,
not
for
line
integrals
,
tells
you
if
you
integrate
a
derivative
, then you get
back
the
function
.
微积分基本定理，不是曲线积分的，告诉我们，如果对函数的导数积分，就会得回原函数。
This thesis
,
using
the
elliptical
integrals
theory
,
we have obtained the
analytic
solutions
of
the
two
-
body
vibrator
motion
law
.
文章运用椭圆积分的理论，给出了两体振子运动规律的解析解。
Numerical
approximations to
definite
integrals
.
定积分的数值计算
Integration
by
parts
,
change
of
variable
,
integrals
depending on
a
parameter
.
分步积分；变量代换；含参变量积分。
But
,
so what
we
'll
do
actually
is
we
'll
reduce
the
calculation
of
a
double
integral
to
two
calculations of single
integrals
.
但实际上，我们要做的是，将一个二重积分的计算，简化为两个单变量积分的计算。
And
,
of
course
,
we
know
also
how
to
set up
these
integrals
in
polar
coordinates
.
当然，我们也知道，怎样用极坐标来计算这些积分。
1·That we can turn the sums into integrals.
以至于我们可以把求和变成积分。
2·Some of them compute different line integrals.
它们中的一些在做不同的线积分。
3·You know that much about integrals.
你们应该懂很多积分的。
4·OK, so anyway, again, conceptually, we have, really, three different kinds of integrals.
无论如何，再说一次，从概念上说有三个不同种类的积分。
5·So, line integrals we know how to evaluate.
我们知道如何计算线积分。
常用短语
adj.+n.
integral part
,
integral component
adj.
unimportant