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# If A is a disjoint union of countably many disjoint Lebesgue measurable sets, then A is itself Lebesgue measurable and λ ( A ) is equal to the sum ( or infinite series ) of the measures of the involved measurable sets.

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## Some Related Sentences

# and If

__#__

__If__isotherms are concave towards

**the**" north-east " direction

**(**45 °),

**then**adiabats are concave towards

**the**" east north-east "

**(**31 °).

__#__

__If__adiabats

**and**isotherms are graphed severally at regular changes

**of**entropy

**and**temperature

**,**respectively

**(**like altitude on

**a**contour map ),

**then**as

**the**eye moves towards

**the**axes

**(**towards

**the**south-west ), it sees

**the**density

**of**isotherms stay constant

**,**but it sees

**the**density

**of**adiabats grow

**.**

__#__

__If__

**the**beat on

**the**new record hits before

**the**beat on

**the**current record

**then**

**the**new record

**is**too fast

**,**reduce

**the**pitch

**and**manually slow

**the**speed

**of**

**the**new record

**to**bring

**the**beats back in sync

**.**

__#__

__If__

**the**beat on

**the**new record hits after

**the**beat on

**the**current record

**then**

**the**new record

**is**too slow

**,**increase

**the**pitch

**and**manually increase

**the**speed

**of**

**the**new record

**to**bring

**the**beats back in sync

**.**

__#__It's Not Funny

__If__I Have To Explain It — 2004 ; strips from 1997

**to**2004

**,**with more

**of**Adams ' handwritten notes

__#__

__If__

**the**remainder from dividing N by 6

**is**not 2

**or**3

**then**

**the**list

**is**simply all even numbers followed by all odd numbers ≤ N

__#__

__If__

**the**remainder

**is**3

**,**move 2

**to**

**the**end

**of**even list

**and**1

**,**3

**to**

**the**end

**of**odd list

**(**i

**.**e

**.**4

**,**6

**,**8

**,**2-5

**,**7

**,**9

**,**1

**,**3

**)**

__#__

__If__

**the**design

**is**symmetrical in an axis parallel

**to**

**the**flag pole

**,**obverse

**and**reverse will be identical despite

**the**mirror-reversal

**,**such as

**the**Indian Flag

**or**Canadian Flag

__#__

__If__not

**,**

**the**obverse

**and**reverse will present two variants

**of**

**the**same design

**,**one with

**the**hoist on

**the**left

**(**usually considered

**the**obverse side

**,**see flag illustrations ),

**the**other with

**the**hoist on

**the**right

**(**usually considered

**the**reverse side

**of**

**the**flag ).

__#__

__If__two straight lines in

**a**plane are crossed by another straight line

**(**called

**the**transversal ),

**and**

**the**interior angles between

**the**two lines

**and**

**the**transversal lying on one side

**of**

**the**transversal add up

**to**less than two right angles

**,**

**then**on that side

**of**

**the**transversal

**,**

**the**two lines extended will intersect

**(**also called

**the**parallel postulate ).

__#__Associativity:

__If__

**a*** b

**and**b * c are defined

**,**

**then**

**(**

**a*** b

**)*** c

**and**

**a***

**(**b * c

**)**are defined

**and**

**equal**

**.**

__#__

__If__

**the**borrowed word happens

**to**have

**a**suffix that

**the**borrowing language uses as

**a**gender marker

**,**

**the**suffix tends

**to**dictate gender

**.**

__#__

__If__

**a**project's spending becomes too much for

**a**committee

**to**continue funding

**,**it must take

**the**issue

**to**

**the**Project Committee

**.**

__#__Affordable premium:

__If__

**the**likelihood

**of**an insured event

**is**so high

**,**

**or**

**the**cost

**of**

**the**event so large

**,**that

**the**resulting premium

**is**large relative

**to**

**the**amount

**of**protection offered

**,**it

**is**not likely that

**the**insurance will be purchased

**,**even if on offer

**.**

__#__

__If__

**the**German Armed Forces

**(**Wehrmacht

**)**were not in

**a**position

**to**break

**the**danger from

**the**Eastern front

**,**

**then**Nazi Germany would fall

**to**Bolshevism

**,**

**and**all

**of**Europe would fall shortly afterward ;

# and is

__#__As exploratory data analysis

**,**an ANOVA

__is__an organization

**of**an additive data decomposition

**,**

**and**its sums

**of**squares indicate

**the**variance

**of**each component

**of**

**the**decomposition

**(**

**or**

**,**equivalently

**,**each set

**of**terms

**of**

**a**linear model ).

__#__Closely related

**to**

**the**ANOVA

__is__

**a**linear model fit with coefficient estimates

**and**standard errors

**.**

__#__The charge against

**the**accused person

__is__read

**,**including

**the**alleged date

**,**time

**,**

**and**place

**of**offense ;

**and**

**,**

__#__Look at each

**of**

**the**remaining items in

**the**list

**and**if it

__is__larger than

**the**largest item so far

**,**make

**a**note

**of**it

**.**

__#__The Primates ' Meeting

**(**first met in 1979

**)**

__is__

**the**most recent manifestation

**of**international consultation

**and**deliberation

**,**having been first convened by Archbishop Donald Coggan as

**a**forum for " leisurely thought

**,**prayer

**and**deep consultation ".

__#__Deontological ethics

**,**notions based on ' rules ' i

**.**e

**.**that there

__is__an obligation

**to**perform

**the**' right ' action

**,**regardless

**of**actual consequences

**(**epitomized by Kant's notion

**of**

**the**Categorical Imperative

**)**

__#__Civil aviation

**,**held by Armavia national airline

**(**owned by Mikhail Baghdasarov

**,**who

__is__thought

**to**be close

**to**President Serge Sarkisian

**)**

__#__The Slater-type orbital

**(**STO

**)**

__is__

**a**form without radial nodes but decays from

**the**nucleus as does

**the**hydrogen-like orbital

**.**

__#__Having been drawn

**and**enabled

**,**but prior

**to**regeneration

**,**one

__is__able

**to**believe … able also

**to**resist

**.**

__#__After one believes

**,**God

**then**regenerates ; one

__is__able

**to**continue believing … able also

**to**resist

**.**

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