# A-4 sentence example

a-4

- For the quartic (ab) 4 = (aib2-a2b,) alb2 -4a7a2blb2+64a2 bib2 - 4a 1 a 2 b 7 b 2 + a a b i = a,a 4 - 4ca,a 3 +6a2 - 4a3a3+ aoa4 = 2(a 0 a 4 - 4a1a3 +e3a2), one of the well-known invariants of the quartic.
- To determine them notice that R = (a6) and then (f, a 5) 5 = - R 5 (k1 +k2+k3) (f, a 4 5) 5 = - 5R5 (m 1 k 1+ m 2 k 2+ m 3 k 3), (f, a352) 5 = -10R5 (m21ke +m2k2+m3k3) three equations for determining k 1, k2, k3.
- from the invariant a2 -2a 1 a 3 -2aoa4 of the quartic the diminishing process yields ai-2a 0 a 21 the leading coefficient of the Hessian of the cubic, and the increasing process leads to a3 -2a 2 a 4 +2a i a 5 which only requires the additional term-2aoa 6 to become a seminvariant of the sextic. A more important advantage, springing from the new form of S2, arises from the fact that if x"-aix n- +a2x n-2.
- Similarly for the quartic A 4 /z) - -a s z 1 -az4.1 -a2.1-a2z4.1-a3 .1 establishing the 5 ground forms and the syzygy which connects them.
- Hence every product of A 1, A2, A3, A4, which contains the product A 4 A 3 disappears before reduction; this means that every seminvariant, whose partition contains the parts 4, 3, is a perpetuant.Advertisement
- of a 5 bc 2 and a 4 b 2 cd.
- is a 4 bc and the L.C.M.
- In the case of a single lens of glass with the most favourable curvatures, Sf is about equal to a 2 f, so that a 4 must not exceed off.
- With n =2, a state of motion is given by ty = - ZUy 2 a 4 µ/r 4, ' _ 0' = Ux+.4), 4'--3U(a 4 /r 3) P 2, P2 = Aµ 2 2, (23) representing a stream past the surface r4=a4µ.
- (9) a 5 ` = 2 (I -) y a x, or Uy (1- - 2 Y a 4 4) a, (io) for a sphere or cylinder, and a diametral plane.Advertisement
- broad, and which narrows at Ly-ee-mun Pass to little over a 4 m.
- The same council defines not indeed dogma but faith - inseparable from dogma - as4 (1) revealed, (a) in Scripture or (b) in unwritten tradition, and (2) taught by the church, (a) in formulated decrees, or (b) in her ordinary magisterium.
- x-` Q ..o(rlg el Vo n a 4 ', E tdhoven.r _ A ` '/; gi.
- 1 I -1111 I ' 24 a 4 4° 60 s° Tea Adulteration.
- With 300 Pounds On A 4 Ft.Advertisement
- a2 a3 a 4 Ia2 la3 la4 The terminating continued fractions b 2 b2 b 3 b, b, b4 al, a1 + ?2, al-1 7:2+Z' al' + a2 reduced to the forms ala2a3+b2a3+ b2a1 a2 a2a3 b3 ala2a3a4+b2a3a4+b3a,a4+b4a,a2 +b2b4 a2a,a4+a4b3+a2b4 ' are called the successive convergents to the general continued fraction.
- In the case of this fraction al, a 2, a 3, a 4 ...
- For the application of continued fractions to the theory of O o O b 3 O O a3 b4 O - I a 4 b5 b2 irrational numbers there is P. Bachmann's Vorlesungen fiber die Natur der Irrationalzahnen (1892).
- The racemic trans-acid is produced by the reduction of the dihydrobromide of A 4 -tetrahydrophthalic acid or dihydrophthalic acid.
- The A 2 acid is formed along with the A 4 acid by reducing phthalic acid with sodium amalgam in hot solutions.Advertisement
- The A 4 acid exists in cis- and transforms. The trans-variety is produced by reducing phthalic acid, and the cis-acid by reducing 2.4 dihydrophthalic acid.
- The A 2 acid is formed along with the A 4 (cis) acid by reducing isophthalic acid.
- The trans A 4 acid is formed by heating the cis-acid with hydrochloric acid under pressure.
- Engine All the boats come with a 4 cylinder Isuzu 55 engine with PRM hydraulic gearbox and twin alternators.
- The doorway is a 4 centered arch in chamfered and carved architrave.Advertisement
- I was taught to draw all the 16 ' and 8's and a 4 ' if I wanted to play baroque.
- barquee A Leigh was a 4 masted steel bark.
- This year's cost is £ 325 for a team of four to include welcome brunch, golf and a 4 course dinner.
- All apartment and villa packages come inclusive of a 4 seater golf buggy and a continental breakfast hamper.
- crotchet rest to fit a 4 beat pattern.Advertisement
- Velvet is a 4 year old otter rex doe and she has been at Kirkby Pet Welfare since she was very young.
- A 23ft River Cruiser with a 4 stroke gasoline outboard engine of around 15hp.
- George is a 4 year old, neutered, very large black Labrador.
- The History of longboat Rowing The Celtic Longboat is a 4 person coxed rowing boat used for racing, training and recreation.
- modality of treatment, patients might attend between 2 to 5 times a week over a 4 to 12 week period.Advertisement
- The dining ´ nook ´ overlooks the pool area, we have a fully fitted kitchen, with a 4 seater breakfast bar.
- Start 25 meters up and right of The Bolt at a 4 meter high obelisk of clean rock.
- We can also offer a 4 hour response package.
- radar reflector easily torn by a 4 year old.
- recuperated seals on a 4 1/2 hour flight from Tenerife to Glasgow.Advertisement
- She was honored with a 4 x 400m relay dedicated to her in 1997.
- I have also heard of an adaptor to fit a 4 1/2 " grinder that would convert it to a mini belt sander.
- Cable - This is a 4 core fully screened, cable with protective outer sheath suitable for direct burial.
- Imagine a 4 night sleepover with 90 young Primary pupils in tents and a full range of activities during the day time!
- Spookie ywatts 19/07/06 6:05 Spookie is a 4 year old waggy springer, never claimed from the pound.Advertisement
- This is after a 4 hour, 20 min train journey on my own with the terrible twosome.
- The VG V90 is a 4 inch, 3 inch or 3 X 2 inch wafer MBE reactor with up to twelve source ports.
- Yes April - once you start driving a 4 wheeler - it's very hard to be content with 2!
- From the general theory (see Interference Of Light, § 8), or by the method of dimensions, it is easy to prove that in the latter case the intensity varies as A2, instead of A-4.
- Schubert), A 4 (E.Advertisement
- SAINT PAULINUS, OF Nola (353-431) Pontius Meropius Anicius Paulinus, who was successively a consul, a monk and a 4 See Fr.
- 1 I -1111 I ' 24 a 4 4Ã‚° 60 sÃ‚° Tea Adulteration.
- A sledgehammer was applied with no dent; hardly paper backed foil radar reflector easily torn by a 4 year old.
- The group even forecast a 4 percent rate of growth in house prices over the next two years.
- Specially designed containers were constructed to transport the fully recuperated seals on a 4 1/2 hour flight from Tenerife to Glasgow.
- The " FUN DAY " will consist of a 4 person relay race within the grounds of the school.
- I have also heard of an adaptor to fit a 4 1/2 grinder that would convert it to a mini belt sander.
- St Ethelbert, Hessett, is just to the south of the A14 to the east of Bury, signposted at a junction.
- Imagine a 4 night sleepover with 90 young Primary pupils in tents and a full range of activities during the day time !
- Minkie ywatts 13/07/06 13:32 Minkie is a 4 1/2 year old ex breeding weimaraner bitch.
- Yes April - once you start driving a 4 wheeler - it 's very hard to be content with 2 !
- She is mother of a 4 1/2 year old daughter and a 3 1/2 year old son.
- All you have to do is sign up with the service (they offer a 4 week no-risk trial) and you're ready to go.
- You could only get a 4 GB capacity and the battery life was about 8 hours of continuous play.
- If you own a Treasury bond at a 4 percent interest rate and market interest rates rise to 6 percent, the value of the bond decreases.
- You can use a much smaller floral design like a rosebud or pansy that has a 4 inch or 6 inch repeat pattern.
- That's a 4 ounce glass of wine, 12 ounces of beer, or 1.5 ounces of hard liquor.
- Bazooka Bowls: Get launched from a 4 story platform into the enormous Bozooka Tube barrel.
- A basic song has a 4 count beat with 3 counts in between.
- Sometimes a song jumped from a 4 (medium) to a 9 (hard).
- Note: To unlock these characters you need to play the Mercenaries Mini-Game and score a 4 star rating.
- Other technical specifications include a Zilog Z80 (8 bit) processor, a 3.2-inch screen that ran at 160 x 144 pixels, 24 KB of RAM, and a 4 channel tone generator for sound.
- Above the keyboard are the basic buttons you find on phones: a 4 way button with an OK button in the middle, your send and end buttons, and other PDA functions like an e-mail and home button.
- The company's the DC50T model is a 4 cup version that comes with a programmable interface.
- When rolling the dice, if the player cannot move the full amount (ie: rolling a 6 and a 4 equals 10), then he must move the amount of spaces found on the higher dice (in this case a 6).
- He is 21 years old and began to see an older woman who is 31 with a 4 year old son right after the break up the day before Valentines Day.
- Vanessa Minnillow has a 4 carat diamond ring set in platinum with trapezoid diamonds from Nick Lachey.
- Alicia Bayer writes on this subject in her wonderful article What Should a 4 Year Old Know?.
- It has a 4 ½ inch chromotone heel and a hidden platform front.
- It is an over the knee style with a square toe and a 4 1/10 inch heel.
- Customer reviews of this kit were more enthusiastic than for the dock or the headphones, with a 4 out of 5 star grade.