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If you are a business enthusiast and want to start up one of your own very soon all you need to do is apply for lainaa. Nowadays taking of loans is a very common thing. However small business ventures are not much entertained. Therefore it is advisable that you qualify the norms put up by the bank. Through this article we will discuss the necessary points to keep in mind in order to get approval for the loan.
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Jewel Kilcher is a modern-day folknik who gained a huge cult following playing Southern California coffeehouses before signing to Atlantic in 1995. Her dynamic, sparkling voice can extend from a wood-nymph lightness to that of a sultry, soulful chanteuse. Born in Utah but raised in Alaska, Jewel began playing music with her parents at the early age of six. After graduating from Michigan's Interlochen Fine Arts Academy, she moved to San Diego, where she lived in the back of her van and began to focus on her music as a career. Jewel's late-'90s hits included "Foolish Games" (from the Batman and Robin soundtrack) and "Who Will Save Your Soul," co-written with singer-songwriter Steve Poltz of the Rugburns. Throughout the decade and into the new millennium, Jewel released a string of albums, yet her sales declined, despite critical praise and radio airplay. After the singer's sixth release, Goodbye Alice in Wonderland, Jewel was dropped by her label and took the opportunity to reinvent herself. Dating rodeo rider Ty Murray provided plenty of opportunities to be in Nashville, Tenn., and that is where Jewel recorded 2008's country effort, Perfectly Clear.
Jewel Concert Films
Live at Soundstage
Year: 2007
Runtime: 1 hr 51 minThree time Grammy-nominated performer Jewel is best known for her charismatic live performances. In this episode, Jewel performs at the historic Rialto Theater with an ethereal backdrop and, at times, is accompanied by a chamber orchestra. In part one of this Soundstage special Jewel not only performs her well-known hits but she also showcases her vast vocal styling by performing standard classics such as Cole Porters "Anything Goes."
Jewel Top Tracks
Related Artists
Live in Montreux
Suzanne Vega
Year: 1999
Runtime: 55 minSuzanne Vega broke-through with her eponymous debut album in 1985 in both Europe and America. The album featured the hits Marlene On The Wall and Left Of Center. She hit even greater heights with her second album Solitude Standing, which contained the hits Luka and Toms Diner. In many ways, she opened the way for the rush of female singer-songwriters that followed in the late eighties and early nineties. She continues to have hit albums and to play to packed houses on both sides of the Atlantic.
Brave Enough: Live at the Variety Playhouse
Sara Bareilles
Year: 2013
Runtime: 1 hr 25 minCaptured in Atlanta on May 20, 2013, Brave Enough: Live at the Variety Playhouse is a solo live performance by Grammy-nominated, platinum-selling singer/songwriter Sara Bareilles. Recorded during Sara's "The Brave Enough Tour," which sold out nationally in three minutes, the set captures her entire performance. The release features show highlight "Goodbye Yellow Brick Road," Sara's never-before-released breathtaking version of Elton John's classic song.
Live at the Factory Theatre
Ingrid Michaelson
Year: 2010
Runtime: 1 hr 26 minIngrid Ellen Michaelson is a New York-based indie-pop singer-songwriter, best known for her single "The Way I Am". Her music has been featured in episodes of several popular television shows, including Scrubs, Bones, Grey's Anatomy and One Tree Hill. Towards the end of 2008, she opened for Jason Mraz on his Europe tour, touring in the UK, Sweden, Denmark, the Netherlands, Germany and France among others. In the second half of 2009, Ingrid began her "Everybody" tour of the United States and Europe which continued into 2010.
An Evening of Nostalgia
Annie Lennox
Year: 2015
Runtime: 1 hr 8 min'An Evening Of Nostalgia With Annie Lennox' captures one of music's most popular and acclaimed artists in her only full concert performance of songs from her Grammy-nominated 'Nostalgia' album. Fronting a 19-piece band, including string and horn sections, and unveiling striking lighting and production elements created especially for this concert, Lennox demonstrates her distinctive vocal and performance talents on an array of songs from the classic American songbook, ranging from "Summertime", "Georgia On My Mind", "Strange Fruit" and "God Bless the Child" to one of rock 'n' roll's most enduring classics, "I Put a Spell On You". As she does on her Nostalgia album that spawned this one-of-a-kind concert, the singular approach Lennox brings to these classics enables them to resonate for a 21st century audience. The artist concludes her extraordinary show with a four song selection of her own hits performed solo at the piano, including "Here Comes the Rain Again", "Why" and "Sweet Dreams (Are Made of This)". Beautifully filmed by director Natalie Johns at the downtown Los Angeles art-deco landmark The Orpheum Theatre on January 28, 2015, 'An Evening Of Nostalgia With Annie Lennox' is a truly unique concert performance that music fans the world over can now experience for themselves.
Live at The Fillmore Theater
Indigo Girls
Year: 2016
Runtime: 1 hr 31 minThis concert film features the Indigo Girls Live at the Fillmore in Denver, November 20, 1999. Features also exclusive interview footage and 19 tracks including Galileo, Go, Least Complicated, Land of Canaan, Scooter Boys and much more!
Live at Montreux
Tori Amos
Year: 1991
Runtime: 49 minThese two concerts from Montreux in 1991 and 1992 catch Tori Amos right at the start of her solo career. The first from July 1991 was filmed a few months before the release of her Little Earthquakes album and the second from July 1992 followed a few months after. There is a fascinating progression from one year to the next as she grows in confidence and skill as a live performer, buoyed by the critical and commercial success of the album. Naturally most of the songs are taken from Little Earthquakes but there are also rare songs from her various EPs released across the two years which didnt make it onto the album including her distinctive takes on Led Zeppelins Whole Lotta Love and Thank You and Nirvanas Smells Like Teen Spirit.
Live at Montreux 2012
Alanis Morissette
Year: 2012
Runtime: 1 hr 38 minAlanis Morissette is one of the most successful female artists and songwriters of all time and has sold in excess of 60 million albums worldwide. Her voice is instantly recognizable and she is a consummate live performer. On July 2nd, 2012, Alanis Morissette returned to Montreux as part of her Guardian Angel Tour in support of her new album "Havoc And Bright Lights". It was her third appearance at the festival. The set showcased a number of tracks from the new album (at that point still to be released) alongside classic tracks from across her career. This is Alanis Morissette live at her very best.
Sarah Mclachlan
Year: 1997
Runtime: 2 hr 14 minMirrorball captures Sarah McLachlan at the height of her powers, with arresting performances from her Surfacing Tour of 1997-1998. This set includes her hit rendition of "I Will Remember You" plus "Adia," "Building A Mystery," "Possession" and more.
Wildflower: Live from New York
Sheryl Crow
Year: 2006
Runtime: 56 minSinger songwriter Sheryl Crow performs her infectious brand of country-infused pop for an adoring New York crowd in this performance captured live during her 2006 "Wildflower" tour.
Dream Chaser
Jessica Simpson
Year: 2015
Runtime: 50 minFor fans of superstar Jessica Simpson, Dream Chaser is a dream come true. Here's your chance to meet the "Irresistible" young artist behind the hits and discover the real Jessica. Part documentary, part music video and all Jessica Simpson, Dream Chaser combines exclusive and revealing interview footage with behind-the-scenes of her electrifying videos and brings you on-stage on her first tour, the "Dream Chaser" tour, and much more. From rare footage of her very first auditions through her sizzling performance on MTV's "Spring Break," Dream Chaser tracks Jessica Simpson's career from her humble gospel beginnings to the pinnacle of contemporary music and beyond.
Front Row Center
Colbie Caillat
Year: 2011
Runtime: 55 minArmed simply with her dusky vocals and acoustic guitar, this episode highlights her homespun music. In this performance, Colbie Caillat sings her first hit single, "Bubbly," as well as the love-stricken "Realize." Caillat continues to impress with her sweet lyrics in "Fallin' For You" and falls back in love when she performs "I Never Told You."
VH1 Storytellers
Dixie Chicks
Year: 2011
Runtime: 1 hr 20 minRecorded live in September 2006 at the historic Los Angeles Theater, Dixie Chicks Storytellers was the grand finale in the whirlwind that surrounded the release of the band's 5x Grammy Award winning album Taking the Long Way. Fans are treated to personal anecdotes and inspiration around some of the band's biggest hits including "Not Ready to Make Nice," "Cowboy Take Me Away" and "Wide Open Spaces." Dixie Chicks Storytellers also features three never before seen performances from the original broadcast including "Lullaby," "Easy Silence" and "So Hard."
The Dixie Chicks are witty, charming and sometimes irreverent, but above all, incredible musicians and songwriters. With over 25 million albums sold, Dixie Chicks are the biggest selling female band of all time in the U.S. Dixie Chicks are Natalie Maines, Martie Maguire and Emily Robison.
Joy to the World: Live at Soundstage
Faith Hill
Year: 2007
Runtime: 53 minWorking with producers Dann Huff and Byron Gallimore, engineer Allen Sides and Grammy-winning arranger David Campbell, Faith Hill has crafted a one-of-a-kind Christmas record with Joy to the World, freshly conceived yet anchored in tradition. It is a loving tribute to both the spirit and the music of Christmas, one that pays homage to the classics.
Recorded over a two-year period, the album features reworked classics along with the only original song on the track and her single, "A Baby Changes Everything." The arrangements are diverse. From the big band orchestration of songs like "Santa Claus Is Coming To Town, "Winter Wonderland" and "Holly Jolly Christmas," to the a cappella "The Little Drummer Boy" and the Appalachian feel of "Away In A Manger." The CD opens with "Joy To The World," and, says Hill, "From the very first note you hear, I wanted it to be joyous. I wanted to give you (the listener) the impression of what the song meant before a word was ever uttered."
Over the course of the past two years Faith has spent much of her time on the road. 2006's Soul2Soul II Tour and Soul2Soul Tour 2007, which she did with
her husband Tim McGraw, was and still is the highest grossing country tour of all
time. It was selected as Pollstar Magazine's "Major Tour of 2006" over industry powerhouses Madonna and the Rolling Stones. With the wrap up of the tour in 2007, they have the highest grossing multi-year North American tour in country music history.
That tour became one of the many highlights of a career that includes five Grammy Awards and countless other awards, the sale of more than 30 million albums, and hit singles including "Wild One," "It Matters To Me," "This Kiss," "Breathe," "The Way You Love Me" "Cry" and "Mississippi Girl." And perhaps most impressive of all the accomplishments, Faith Hill is the only female artist to celebrate three consecutive album debuts atop both Billboard's Top 200 Album Chart and Country Chart. With a voice that is soulful and powerful, there is simply no question that Faith is one of the music industry's top vocalists.
As one of this generation's most credible and visible talents, Faith Hill has based her career on dedication, passion and commitment.
In Session 2004
Vanessa Carlton
Year: 2004
Runtime: 21 minVanessa Carlton performs live In Session in 2004. The show, I support of her second album, Harmonium features performances of White Houses," "San Francisco; and "Who's To Say."
Live at Soundstage
KT Tunstall
Year: 2005
Runtime: 54 minIf Eye To the Telescope introduced a bold new talent, KT Tunstall's Acoustic Extravaganza confirms that the Scottish singer is no fluke. Whether stripping down tracks from her platinum debut--nominated for both a Grammy and Britain's coveted Mercury Prize--or taking on Beck's tender "Golden Age," it's all about the Voice and the Voice is good. While Telescope elicited comparisons to Joni Mitchell and Bjork, in acoustic mode, Tunstall sounds more like countryman Rod Stewart back when he was fronting the Faces. She's got that soulful thing down to a science, but there's nothing affected about it, and she never pushes too hard. Ten years of busking can do that for a girl (it's how she learned to use a loop pedal to duplicate the sound of a full band). Originally only available through her website, Acoustic Extravaganza doesn't include hit singles "Black Horse and the Cherry Tree" and "Suddenly I See," the theme from The Devil Wears Prada, but then it isn't a greatest hits collection. Recorded in two days, th set consists primarily of non-LP material, like the angry "Ashes," plus the featurette Five Go to Skye (Making the Album). The parental advisory warning ("explicit content") refers to the profanity in "Ashes." Otherwise, there's nothing objectionable going on here.


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subscripts exit nozzle exit amb ambient (freestream) condition actual actual, measured value ideal ideal value, based on ideal expansion to Pamb drag afterbody drag 8 nozzle throat (minimum A) 9 nozzle divergent section exit superscripts * condition where M=1; when used with A8, A8*=A8Cd
BACKGROUND Since the introduction of jet aircraft on August 27, 1939, when test pilot Erich Warsitz first flew the Heinkel He-178 jet plane (Figure 1), propulsion systems have steadily grown in thrust capability, allowing consistently increasing speeds in both commercial and military aircraft. Coupled with this increase in speed and capability comes a need for increasing nozzle complexity.2 *
Vice President, New Product Development, Spiritech Adv. Products, Inc., Member AIAA Design Manager, Spiritech Adv. Products, Inc., non-member AIAA, member ASME President, Spiritech Adv. Products, Inc., Member AIAA
Early, subsonic jet aircraft incorporated simple, fixed convergent nozzles. Subsonic aircraft nozzles do not generally require area ratio variations since they operate over low nozzle pressure ratio s (NPR=Pt8/Pamb), ranging between only 2 to 3. A
simple, fixed convergent or very low area ratio convergent-divergent nozzle produces adequate thrust with under-expansion performance losses at cruise less than 1%. Making its initial flight on October 1, 1942, the first jet airplane in the United States, the P-59 (Figure 2), used a fixed convergent area nozzle configuration2. As technology progressed, aircraft speeds increased. The Lockheed F-94 (Figure 3) was this nation's first operational jet all-weather interceptor and the first U.S. production jet to have an afterburner, which provided brief periods of additional engine thrust. To accommodate afterburning engine requirements, variable throat area control is needed for good performance. Also making use of afterburning engines, the F-100 (Figure 4) was the USAF's first operational aircraft capable of flying faster than the speed of sound (760 mph) in level flight, making its initial flight on May 25, 1953.2 System integration of the nozzle with the engine, bypass, and tertiary flows was a significant complication addressed in the design of the SR-71 Blackbird (Figure 5). The SR-71 is a long-range, advanced, strategic reconnaissance aircraft capable of speeds in excess of Mach 3. Studies have shown that less than 20 percent of the total thrust used to fly at Mach 3 is produced by the basic engine. The balance of the total thrust is produced by the unique design of the engine inlet and "moveable spike" system at the front of the engine nacelles, and by the ejector nozzles at the exhaust, which utilize air compressed in the engine bypass system, along with tertiary air provided through the blow-in door ejector, to produce thrust. This nozzle employs variable throat area control and a blow-in door ejector system to improve performance at off-design conditions. Variable exit area became a requirement as aircraft speeds began increasing beyond the transonic region. Fixed-area convergent and very low area ratio convergent-divergent nozzles are normally inadequate for supersonic speeds greater than Mach 2-3. NPR s rapidly increase for Mach numbers greater than 1, and range from 2 to 30. Some shortduration aircraft use fixed, secondary shrouds due to limited supersonic time (or supersonic dashes), such as the B-58, F-4, F-111, B-1, & F-14.5 The Boeing F-15 Eagle (Figure 6) was designed from the outset to be the world's most effective airsuperiority fighter. First flown on July 17, 1972, it was powered by a pair of Pratt & Whitney F100-PW100 turbofan engines, which delivered more thrust than the aircraft's weight, allowing the new fighter to accelerate in vertical flight. The most recent version, the F-15E, is a two seat, two engine dual role fighter
capable of speeds up to Mach 2.5 with afterburners. These nozzles employ variable throat area control and dual-mode exit area scheduling. This dual-mode system is passively controlled by the pressure forces acting on the divergent flaps to provide high performance over a wide range of flight conditions. Passive exit area control significantly reduces the nozzle s complexity and weight through elimination of the divergent actuation system. Furthermore, the performance impacts of passive control versus active control are negligible if the pressure balance system is properly designed for the aircraft installation and mission requirements. Lockheed s F-16 (Figure 7) was designed to be a single-engine, single-seat lightweight day fighter with performance rivaling that of much larger and more expensive aircraft. Highly versatile and exceptionally maneuverable, the F-16 is the world s most popular, most sought-after multi-role fighter. Like the nozzle used in the F-15, the F-16 nozzle employs variable throat area control and dual-mode exit area scheduling Military aircraft with supersonic cruise capability have required more sophisticated nozzle systems than those with supersonic dash capability. Independent A8 and A9 control is usually required. Throat area variation is needed to match the afterburning requirements, and a separate control of the exit area provides the proper expansion ratio at each flight speed and altitude. The newest aircraft being developed provide additional nozzle features for added speed and maneuverability. The Lockheed F-22 (Figure 8) is the first aircraft to cruise faster than the speed of sound for an extended period of time without requiring the use of afterburners and their associated high fuel consumption. In addition, the F-22 employs thrust-vectoring nozzles to provide maneuverability unmatched by any other aircraft, further complicating the design of the nozzle. The nozzle s exterior shaping is also highly integrated into that of the aircraft to reduce external flowfield drag and provide low radar detection. Similar nozzle development has occurred for missiles as well. Generally, high-speed missiles have been powered by solid propellant rocket motors. Such is the case with the HAWK missile system, which has been the Marine Corp's primary air defense since the early 1960's. Officially, this missile is capable of speeds in excess of Mach 2.4. Other, lower speed missiles have used turbojet propulsion for cruise operation. Both the Harpoon (Figure 9) and
Tomahawk (Figure 10) missiles utilize turbojet propulsion for cruise operation. Since these missiles operate subsonically, without afterburners, they obtain high efficiency from fixed convergent nozzles. Missile programs currently underway in the US, such as RATTLRS, are investigating the use of turbojetpowered missiles at significantly higher Mach numbers, thus requiring the use of increasingly advanced nozzle technology. With the increased requirements for highly efficient nozzles, it is important that the propulsion community provide lightweight, cost-effective nozzles for high-speed flight. These nozzles must integrate with the aircraft to achieve high installed performance (low drag), enhanced vehicle maneuverability, low radar signature, and be easily maintained.
variation provides insignificant benefit. For these reasons, fixed convergent nozzles are well suited to subsonic applications. Thrust is calculated according to the relationship: F mvexit Pexit Pamb Aexit (1) where the exit conditions are defined at the nozzle throat. Since fixed convergent nozzles lack variability, they cannot be used with afterburning engines. Fixed area convergent nozzles provide high performance for the low pressure ratio, non-afterburning turbojet engines employed in early tactical aircraft and modern subsonic commercial aircraft. Variable Convergent Nozzles Tactical aircraft operating at high subsonic or transonic Mach numbers generally use afterburning to achieve the needed thrust to overcome the high drag at these conditions while limiting the size of the engine. Since NPR for these conditions is generally less than 3, limited thrust improvement is achieved by expansion ratio variations, permitting use of a relatively simple, variable throat area convergent nozzle without a divergent section. Afterburners increase thrust by increasing the gas temperature, and therefore, the exit velocity of the flow. The flow parameter is given by the relationship3:1
DISCUSSION Selecting a Nozzle Concept There are multiple varieties of nozzles to choose from, such as two-dimensional (2D), axi-symmetric, plug, ejector, or single expansion ramp nozzle (SERN). Final nozzle concept selection should be based on the functional requirements of a particular program or vehicle. Each concept should be evaluated based on its merits as compared to the important program parameters. Trade studies should be used to achieve a compromise between weight, performance, stealth, reliability/maintainability, and cost. Additionally, critical flight points must be achieved. The best selection should yield the simplest nozzle to meet the requirements. The need for variable convergent throat area will be primarily determined by the maximum flight Mach number and whether or not the engine has an afterburner. Non-afterburning, subsonic aircraft can use a fixed convergent nozzle without a divergent section. Afterburning, subsonic aircraft will need a variable convergent section without a divergent section. Supersonic vehicles will not only need variable convergent throat area, but will also need a variable area divergent section. Fixed Convergent Nozzles Fixed convergent nozzles provide the primary function of backpressure control for the gas turbine propulsion system. For subsonic applications, variation in throat area is not required for optimum engine performance. Also, the nozzle pressure ratio is generally less than 2 so that expansion ratio
W Tt PtA*
1 2
Neglecting minor changes in , the flow parameter is constant for choked non-afterburning (dry) and afterburning engines. Therefore, the following relationship is used to define the area requirements.
Since engine flow and total pressure are nearly the same for dry and afterburning conditions, the required throat area variation is driven by the relative change in temperature, as shown.
A* afterburning A* dry
Tt afterburning Tt dry
For modern afterburners, this temperature ratio is near 2, therefore requiring a throat area increase of approximately 40 percent relative to the dry area.
Variable area convergent nozzles are used where transonic flight is an infrequent occurrence and is of secondary importance to mission objectives. For flight Mach numbers in excess of 1.2~1.5 the variable convergent nozzle provides inadequate performance, and a converging/diverging (C-D) nozzle should be used. Converging/Diverging (C-D) Nozzles As shown in Figure 11, flight Mach numbers greater than 1.2~1.5 are generally accompanied by NPR s in excess of 3, requiring further expansion of the exhaust flow to increase its velocity and improve the nozzle performance. Equation 1 is used to calculate thrust. However, for a C-D nozzle the exit condition is defined at the exit of the divergent section (station 9, as shown in Figure 12) so that the expansion of the divergent section will accelerate the flow and increase thrust. Ideal nozzle thrust is determined by expanding the flow isentropically to ambient pressure. Dividing the thrust by the product of the total pressure and the effective throat area (PtA8*), a non-dimensional ideal thrust parameter may be defined.
Fideal PtA8*
2 1
1 1
Pamb Pt
Nozzle performance, or CFg, is defined as the ratio of actual thrust to the ideal thrust (equation 10). Typical nozzle performance characteristics based on this definition are illustrated in Figure 13 for a range of expansion ratios.
C Fg
Factual Fideal
P9 PtA8
Pamb A9*
P9 A9 M 9 PtA8*
P9 Pt
Pamb A9 (6) Pt A8 *
Optimum performance is achieved at the expansion ratio providing P9=Pamb, referred to as the design expansion ratio. Application of the isentropic relationships4 shown in equations (7) and (8) at the design expansion ratio leads to the ideal thrust parameter shown in equation (9).
1 2 2
For a fixed-area-ratio nozzle, ideal thrust may be attained only at the design point. As NPR is varied off design, the thrust decreases. A nozzle is said to be over-expanded when operating at a pressure ratio below its design point. At these conditions, the pressure along the divergent flaps expands to subambient pressures. For optimum thrust, the nozzle should be terminated at the point along the flap where the local pressure is equal to ambient pressure, as illustrated in Figure 14. Otherwise, the sub-ambient pressures apply drag on the nozzle surfaces. Normally, a nozzle will over-expand and flow without separation until the ratio of the exit to the ambient static pressure falls below some critical value. When this occurs, the exhaust gases will separate from the nozzle wall and form a shock wave that increases the nozzle pressure aft of the separation. The nozzle exit pressure for this case is near ambient pressure. A nozzle is said to be underexpanded when operating at nozzle pressure ratios above the design point. In this case, the area ratio is too low and the flow expands to a pressure greater than the ambient pressure5. As shown in Figure 15, an extension to the divergent flaps would be required to attain ideal thrust. As illustrated in Figure 16, nozzle performance losses are generally much larger for over-expanded nozzles than they are for underexpanded nozzles. For optimum nozzle performance, the variable convergent-divergent nozzle is used for tactical aircraft with flight Mach numbers greater than 1.5, providing the means to expand the flow to near ambient pressures. Typical examples include the F14, F-15, F-16, F-18, and F-22. The required area ratio increases with increasing nozzle pressure ratio as a function of flight altitude and Mach number. Ideally, the internal expansion should be varied continuously as a function of NPR to provide optimum thrust. However, weight, cost,
Pt P
and performance goals must be balanced to provide the best nozzle to meet aircraft requirements. Depending on these goals, various techniques may be employed to vary the nozzle expansion ratio. These include 1) geometrically scheduled area ratio, 2) passively controlled area ratio, and 3) fully-variable (controlled) area ratio. Additionally, aerodynamic control of the expansion ratio may be provided with an ejector nozzle. Ejector nozzles are able to change the effective nozzle exit area without repositioning the divergent flap by allowing ambient (external) air to fill the over-expanded portion of the divergent nozzle, reducing its effective expansion ratio. Blow-in doors are generally actuated or aerodynamically controlled to allow the ambient flow only during over-expanded conditions. Geometrically scheduled (or fixed-schedule) area ratios are typical of the F-14 and F-18 nozzles. For these nozzles, A9 is kinematically tied to A8 so that a distinct relationship exists between A8 and A9, as shown in Figure 17. The advantage of this configuration is its light weight and simplicity. However, off-design performance is reduced. Passively controlled area ratios are typical of the F15 and F-16 P&W nozzles. For these nozzles, A9 is kinematically tied to A8 through a slotted mode strut to allow a range of possible A9 to exist for a given A8, as shown in Figure 18. The internal pressures acting on the divergent flaps provide the force necessary to passively move the divergent flaps through their range of possible area ratios. By correctly balancing the flaps, the nozzle is designed so that the area ratio floats to its design expansion ratio for optimum performance. This configuration offers multiple advantages, including light weight, design simplicity, and good performance over a wide range of flight conditions. Although performance trades must still be considered over the flight envelope, this configuration significantly reduces the region of the flight envelope where the nozzle must operate off design. Fully variable (controlled) area ratios are used in the F-22 nozzle. Fully controlling each of the divergent flaps in this nozzle provides both A9 variation and thrust vector control. As shown in Figure 19, fully variable A9 provides peak nozzle performance, CFg, by enabling the nozzle to operate at its peak performance area ratio at all nozzle pressure ratios throughout the flight envelope. Obviously, the advantage of this nozzle configuration is its excellent performance at all flight conditions. However, this nozzle suffers in weight and design complexity.
Generally, since the propulsion system design must precede that of the aircraft, the nozzle design is optimized for internal performance. Installed performance considers afterbody drag induced by the nozzle external flaps and may actually dictate that the nozzle be over-expanded over a significant portion of the flight envelope. Installed, or thrust-minus-drag, performance is defined as follows:
C Fn
Figure 20 illustrates the typical difference in internal and installed performance, CFg and CFn, respectively, at a transonic flight Mach number. For this particular example, the expansion ratio for optimum thrustminus-drag performance would be achieved at 1.9 rather than the design expansion ratio of 1.55. Selecting a Divergent Section Type For nozzles having a divergent section, the best approach to selecting the ideal type of A9 area control (geometrically scheduled, passively controlled, or variable A9) is to conduct analytical performance studies that take into account the unique requirements of the vehicle and the performance required throughout the mission. For example, a geometrically scheduled nozzle should be seriously considered if a large percentage of the mission time is spent at only several power settings, since it can be designed to match the optimum exit area at these critical flight conditions. A geometrically scheduled nozzle will be inherently lighter and less expensive than a fully variable nozzle due to the omission of linkages and actuators to drive the divergent flap. However, the fully variable nozzle will have better performance characteristics over a larger portion of the flight envelope. Again, the goal is to determine the simplest nozzle arrangement that will meet the mission requirements. Passively scheduled nozzles provide a compromise between geometric and variable scheduling. However, for this type of nozzle, it is important to verify that the pressure-balanced A9 positions provide acceptable performance at the key flight points. Also, it has been shown that the external flap pressures have a significant impact on the floating A9 position and must be considered in the design. Impact of Nozzle Selection on Performance A study was performed for a supersonic missile-type application to demonstrate the resulting performance for several types of divergent sections. Performance
comparisons of the various A9 concepts and the considerations for selecting a concept are discussed. The notional missile trajectory used for this analysis maintained a relation between the Mach number and altitude as shown in Figure 21. A Notional Mission was also defined (Figure 22) to encompass multiple modes of operation; acceleration, cruise, loiter, and acceleration. Three 2D, variable convergent throat area nozzles, each with a different method of controlling the divergent exit area (A9), were defined and their performance was evaluated over the mission trajectory. The three A9 concepts used were: 1.) Fully Variable A9 convergent throat area and divergent exit area were varied independently; allowing the area ratio to be fully optimized for thrust-minus-drag (Figure 23). 2.) Two Position A9 similar to a passively scheduled divergent nozzle, this concept positions the exit area to a smaller exit area for the subsonic trajectory and a larger exit area once the vehicle passes through the transonic region of the trajectory. Positioning could be selected by a simple two-position actuator, or a one time position type mechanism, such as a pyro actuator, in an actual application. The benefit would be in using a simpler A9 mechanism than the fully-variable mechanism (Figure 24). 3.) Geometrically Scheduled A9 Exit area is a function of the throat area and is scheduled using the flap mechanism (Figure 25). The three nozzle flowpath geometries were sized to match the required engine modulation requirements. A kinematics arrangement was defined for each of the nozzle concepts to achieve the A8 vs. A9 relationships defined above. Using a notional engine cycle, 2D/CD internal nozzle performance characteristics, and external drag characteristic of the defined geometry, the engine was flown over the mission and the resulting thrust-minus-drag performance was determined for the three concepts. The resulting thrust-minus-drag performance (Cfn) curves are shown in Figure 26 for the three nozzle types over the notional mission. As shown by the curves, the fully variable concept represents the best achievable thrust-minus-drag performance since the exit area is optimally positioned with an A9 actuator. The two-position nozzle performance matches the fully variable over the mission everywhere except for the loiter section. This is due to the exit area being held to a non-optimum position, as the vehicle has
passed through the transonic region and A9 is being held larger than optimum for the subsonic loiter condition. Note, however, that the loiter performance is still only slightly lower than optimum. The geometrically scheduled nozzle has the worst performance of the three. Its performance suffers over the subsonic, acceleration range as well as the loiter range. By design, the kinematics of this nozzle were arranged to provide optimum A9 at the cruise flight point. Therefore, poor performance is seen at the off-design acceleration and loiter points. Final selection of one of these configurations will ultimately depend on the vehicle mission. If the mission includes little or no operating time in the loiter mode, then the slightly poorer performance of the two-position concept may be acceptable, offering a simpler, lighter weight, and lower cost than the fully variable concept. The geometrically scheduled concept is significantly simpler and lighter, and would have less seal leakage than the other two concepts. Again, if the unique performance traits were acceptable to the actual mission, then it may provide the best solution. In this case, the poor performance over the acceleration and loiter regions would need to be mitigated before this candidate could be chosen. Future Directions The weight and cost of aircraft exhaust systems has increased at an alarming rate in recent years with the advent of thrust-vectoring nozzles, such as that used in the Lockheed F-22. Mechanically operated thrust vectoring nozzles utilize moving divergent flaps to produce thrust vectoring and optimum A9 control. As aircraft designs are continually improved to increase performance and add features, new technologies must be sought to make them affordable to acquire, deploy, and maintain. Multi-functional nozzles can accommodate more than engine area control, providing thrust vectoring or thrust reversing. These special application nozzles are typically used to reduce the demands of the aircraft control surfaces, resulting in overall system improvements. Several programs have been initiated recently to take advantage of these unique capabilities. The X-44 MANTA (Multi-Axis No Tail Aircraft) aircraft concept (Figure 27) is a deltawinged F-22 that uses thrust-vectoring nozzles as a flight control feature. It has no rudders, stabilators, or ailerons. The functions of the flight control surface features are replaced by the multi-axis, thrust vectoring nozzles. Other aircraft programs have removed the vertical and horizontal tails and
incorporate highly integrated exhaust systems. They include NASA s X-36 tailless research aircraft (Figure 28), Boeing s X-45 UCAV Unmanned Combat Air Vehicle, and Northrop-Grumman s X-47 UCAV Operational Systems. These innovative designs promise to reduce weight, drag, and radar signature and increase range, maneuverability, and survivability. The nozzles are very integrated into the vehicle s outer contour. New technologies, such as fluidic vectoring, may provide lightweight, low cost aircraft systems for achieving high vectoring effectiveness while maintaining high levels of thrust performance. Fluidic vectoring nozzles provide vectoring through use of high pressure air injected in the divergent section of the nozzle, minimizing the number of moving parts and improving durability. The commercial benefits include reductions in aircraft weight, improvements in nozzle reliability through reduced part count, and reductions in signature and life-cycle cost. Other technologies important to nozzle design include high temperature material development, advanced cooling, and advanced liner fabrication techniques. Carbon Matrix Composites (CMC s) offer lower density and higher operating temperatures than conventional metals. Many development programs have been conducted to resolve the technical issues associated with CMC s. Once resolved, their use will ultimately become more widespread. These technologies result in performance improvements due to reduced
requirements for cooling, typically supplied by the engine fan air. SUMMARY Integral with both the aircraft and the propulsion system, exhaust nozzles are unique to each application and must be designed for the appropriate air vehicle mission. As required aircraft speeds increase, so do functional requirements for the nozzle, resulting in increasingly complex nozzles. Mechanical complexities may be reduced, however, by considering mission-weighted performance and life requirements. Mission studies conducted for single use systems (missiles) have provided simple kinematic designs capable of achieving high thrust throughout the flight envelope. Further improvements may be achieved through aerodynamic solutions, such as fluidic injection and ejectors.
Aircraft Engine Design, 2nd Edition, J.D. Mattingly, Nov. 2002 2 U.S. Air Force Museum Archives 3 P&W Aeronautical Vest Pocket Handbook, 20th Edition, August 1986 4 Equations, Tables, and Charts for Compressible Flow, Ames Research Staff, NACA 1135 Report, 1953 5 Exhaust Nozzles for Propulsion Systems With Emphasis on Supersonic Cruise Aircraft, L.E. Stitt, NASA Reference Publication 1235, May 1990
Figure 1 - He-176
Figure 9
Drag Pamb P9 x
P9 = Pamb10
P9 < Pamb
Figure 11 - Typical Nozzle Pressure Ratio Schedule for Supersonic Cruise Aircraft5
Inlet Freestream
Nozzle Performance, C Fg
Variable A9Fixed Area Ratio, CFg
Figure 16
Throat Area, A8
Figure 17 Ratio
High mode
Mach Number
Figure 21Low mode
Throat Area, A8Figure 18 Passively Scheduled (Floating) Nozzle Expansion Ratio
Figure 22
Decel Loiter
Cfn (T-D)
Time Step
Figure 26 Thrust-Minus-Drag Performance for Three Nozzle Concepts over a Notional Mission Figure 23 Fully variable A8 & A9 Nozzle Concept
Figure 24
Figure 27 - X-44 MANTA (Multi-Axis No Tail Aircraft), lower aircraft; F22, upper aircraft
Figure 25


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People love to share. It is almost instinctive and it is borne out of our need to be certain that our tribe survived by ensuring that every member of the group had something to eat. More than that, there is evidence that sharing is involved in gaining sexual encounters; people who share a lot appear to be amongst those who have more sexual activity. It turns out that each potential mate prefers someone who shares – it means there is a higher survival likelihood of offspring.
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As a result, if you want your online content or products to be shared, there has to be two reasons:
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Your web content therefore needs to have two people in mind – the person you are aiming at and their contacts, who should be similar people. Indeed, sharing takes place mostly between similar people – it is that old "tribe" effect taking place.
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So, to make your website material more shareable, just simply tell the TRUTH.[fbshare type="button"] [linkedin_share style="none"]
Graham Jones is an Internet Psychologist who studies the way people use the online world, in particular how people engage with businesses. He uses this knowledge to help companies improve their online connections to their customers and potential customers and offers consultancy, workshops, masterclasses and webinars. He also speaks regularly at conferences and business events. Graham is an award-winning writer and the author of 32 books, several of which are about various aspects of the Internet. For more information connect with me on Google+


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Calenzana to Calvi
Posted: Tue, Jun 4, 2019, 7:42
Posted: Tue, Jun 4, 2019, 8:56
Hello.... When we went a second time from Calvi to Calenzana we went by the school bus... Early afternoon having travelled the first time by taxi...an early morning arrival.
What am I trying to say...if you are around in the afternoon it would seem that the returning bus could be a solution?
A few years later arriving in Calenzana from the South I camped overnight there and walked down the narrow Road for a bit and after a bit I received a lift from a gent with truck...down to the big roundabout on the main street into Calvi... Pleasant early morning walk into Calvi for a but of breakfast.
Posted: Tue, Jun 4, 2019, 11:44
Posted: Tue, Jun 4, 2019, 18:41
I'm gonna face the same problem. My plan is to just walk it. I'll camp overnight in Calenzana, then head off early in the morning and walk to Calvi. Gaffr, can you recommend a nice route to Calvi? Although I don't mind walking on a busy road, I'd prefer a more scenic route if one exists.
I also have 2 backup ideas, in case I'm not up for the walk: 1. I'll get a taxi number for taxis that operate in Calvi. 2. I'll just wing it, catch a lift with someone else, or share a taxi with someone else.
Posted: Wed, Jun 5, 2019, 6:57
Posted: Wed, Jun 5, 2019, 8:34
There is also a minor road down to near to the same roundabout, looks more kls.....it joins the road that I walked a little before the roundabout. I found that the road I walked to be narrow had to be aware and get quickly onto the verge when traffic appeared.
For getting out from Calinzana at least it is downhill so a fast pace can be achieved....maybe going up to Calenzana not so good with a laden pack at the beginning of the walk?
Not many folks about on the path into Calvi….early morning. In fact most of the folks that I encountered were the Foreign Legion Troops from the camp at Raffalli out on their early morning running jaunts. Anyway I had a good appetite for breakfast in Calvi and stayed in the town for a good lunch before getting the afternoon train to Ponte Leccia….change here to get the train coming from Ajaccio to Bastia which set me up get off at a small village for the walking into the camping Esperanza close to the sea near to the airport.... plenty to explore here after borrowing a bike...I had another couple of nights at the camping before walking back to Poretta for the flight home.
Posted: Thu, Jun 6, 2019, 6:38
Thanks Gaffr. I plan to chill out in Calvi for a few days so likely I'll do this walk and just take it slow. I've also stayed in the Esperanza campsite in Bastia and plan to do the same for this trip. The owners were nice and friendly and provided me transport to the station in the early morning which I really appreciated.


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Some people may also have ringing in their ears (tinnitus) or dizziness.
Because hair loss around the crown isn't easy to see in the mirror, it's common for men affected by crown thinning not to notice their hair loss until it's quite advanced.
If you have trouble getting or maintaining an erection once every few weeks or months, you might not have ED.
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REVATIO is used to treat a rare disease called pulmonary arterial hypertension (PAH).
Even the world's greatest actor cannot fake an erection.
If you've noticed your hairline creeping backwards, your widow's peak becoming more obvious or just a few extra hairs on your pillow or in your hairbrush, male pattern baldness could be the culprit.
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The most effective preventative lifestyle changes for ED include:Sometimes, changing your habits and lifestyle is all it takes to treat erectile dysfunction and improve your sexual performance.
You can find the 5α-Reductase enzyme in your prostate, liver, skin and hair follicles.
By talking to your doctor as early as possible, you'll be able to start treating your hair loss, helping you to slow down or prevent any further loss.
It's by far the most common cause of hair loss in men, affecting more than 50% of all men by the age of 5Although male pattern baldness is most common in middle-aged and older men, it can occur at any age.
However, some men are highly sensitive to DHT and notice hair loss that starts in their early-to-mid 20s, or even in their late teens.
To diagnose erectile dysfunction, your doctor will ask about ED symptoms you've experienced and how long they've persisted.
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Erectile dysfunction is an extremely common condition that affects men of all ages.
As part of the diagnosis, your doctor might ask you to complete a physical examination.
As well as helping you form male genitalia and secondary sex characteristics in puberty, DHT is the main hormone responsible for male pattern baldness.
The easiest way to check for this type of hair loss is to use a handheld mirror, or to take a selfie of the back of your head.
Content Medically Reviewed by Adrian Rawlinson, MD, VP of Medical Affairs at HimsMale pattern baldness is a genetic and hormonal condition that causes you to lose hair.
Factors like your use of tobacco products, other medications or alcohol can also contribute to erection issues, making it harder for you to maintain a fulfilling sex life.
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Many men notice the early signs of male pattern baldness, such as a receding hairline or diffuse thinning, in their 20s and 30s.
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Many men with erectile dysfunction feel less interested in sex and lose some or all of their motivation to pursue sexual relationships.
Viagra has been prescribed by doctors across the US for the last 20 years.
It's especially important to talk to your doctor if you've had persistent difficulty with erections that has lasted for several months.
Male pattern baldness is caused by a combination of two factors: your production of androgenic hormones such as dihydrotestosterone (DHT) and your hair's sensitivity to these hormones.
Many men can get an erection before sexual activity without difficulty, but find it difficult or impossible to keep a firm erection during sex.
They include:In addition to medication, lifestyle changes and psychological treatment, there are several other ways to treat erectile dysfunction:There are are also several other erectile dysfunction treatments currently being researched for potential use in the future, including topical creams and drugs that work via the central nervous system to improve erection quality.
Erectile dysfunction can make it difficult for you to maintain an erection during sex.
If you're worried about losing your hair and want to maintain a full hairline as you get older, talk to your doctor as soon as you notice any obvious signs of thinning or a receding hairline.
The more sensitive your hair follicles are to DHT, the quicker you'll notice your hair thinning and falling out.
Sildenafil may affect the way other medicines work, and other medicines may affect the way Sildenafil works, causing side effects.
Sometimes, a psychological issue or nervousness can trigger ED.
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Not all men with male pattern baldness experience hair loss around the hairline.
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Right now, the most effective treatments for male pattern baldness are medications such as finasteride, which block DHT, and topical medications such as minoxidil, which help to stimulate hair growth.
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Sometimes, erectile dysfunction is a sign that you might have an underlying cardiovascular health issue.
Hair loss from male pattern baldness can also occur gradually.
ED is a very common type of sexual dysfunction that affects hundreds of millions of men of all ages.
Viagra is a brand name medication invented by Pfizer, while sildenafil (or sildenafil citrate) is the active ingredient in Viagra that's responsible for its positive effects on treating erectile dysfunction.
HairSexSkinWell-beingMouthMerchSavoir Faire(it's french, but it's our blog)The SciencePurposeAbout UsReviewsMedical ConditionsCartkeyboard_arrow_rightkeyboard_arrow_rightkeyboard_arrow_rightkeyboard_arrow_rightYour cart is empty!Oops! You have nothing hereShop All HomeErectile DysfunctionSildenafilThe Erectile Dysfunction PackSildenafil (Active Ingredient in Viagra)Sildenafil is the active ingredient in Viagra and is FDA approved to treat ED.
If your erectile dysfunction is caused by a psychological problem, there are several treatment options that you can use.
During pregnancy, childhood and puberty, DHT is an important hormone for helping you to form male characteristics.
The earlier you treat male pattern baldness, the easier you'll find it to stop further hair loss and maintain your hair.
Do not take Sildenafil (sildenafil citrate) if you:are allergic to sildenafil, as contained in Sildenafil and REVATIO, or any of the ingredients in SildenafilDiscuss your health with your doctor to ensure that you are healthy enough for sex.
This shampoo is formulated to reduce levels of DHT in your scalp (the hormone that causes hair loss) and adds volume to your hair.
This combination of products covers all the bases to keep your hair looking good.
Male pattern baldness is also known as androgenic alopecia.
Contrary to popular belief, factors like wearing a hat or using non-organic shampoos and other hair care products aren't proven to contribute to male pattern baldness.
This type of hair loss is usually easiest to notice when your hair is wet, or in bright lighting that makes your scalp more visible.
Most of the time, erectile dysfunction is easy to treat.
Diffuse thinning is a form of hair loss that affects your entire scalp, thinning your hair without any obvious effects on your hairline.
DHT is a byproduct of testosterone, meaning your body converts a small amount of the testosterone you create into DHT on a regular basis.
The main causes of male pattern baldness are your genetics and the presence of androgenic hormones such as testosterone and dihydrotestosterone (DHT).
If you already have ED, making healthy changes to your lifestyle might also improve your symptoms and help you to have a normal sex life without the use of medication.
Hair loss from male pattern baldness can occur in a variety of patterns, ranging from diffuse thinning to a receding hairline.
Erectile dysfunction isn't always caused by physiological factors.
Not every hairline recedes in the same pattern.
Once it's bound to your hair follicles, DHT causes the follicle to shrink and weaken, slowing down hair growth and eventually stopping the follicle from producing new hairs.
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When ED occurs at a bad moment, it can affect your self-confidence.
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Sildenafil (sildenafil citrate) is prescription medicine used to treat erectile dysfunction (ED).
Some men experience a tingly feeling in their body, headaches, blurred vision and other side-effects from Sildenafil (Viagra).
For some men, DHT isn't a big deal.
In fact, statistics from the Massachusetts Male Aging Study show that about 52% of men experience erectile dysfunction at some point in life.
There's usually no need to perform a biopsy to diagnose male pattern baldness -- this type of procedure is usually only necessary to determine if your hair loss is caused by a chemical or other external factor.
Currently, there are several safe, proven, FDA-approved medications used to treat erectile dysfunction.
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This is because male pattern baldness is caused by hormones.
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They might use a device called a densitometer to view miniaturized hair follicles and look at the space between each hair follicle.
When it comes to male pattern baldness, sooner is always better.
Want to learn more about male pattern baldness? Our guides to DHT and male hair loss, what you should know about using finasteride and how minoxidil and finasteride can work together to stop hair loss cover the treatment aspects of male pattern baldness in more detail.
If your hair loss is advanced, you might also be able to restore it via hair transplant surgery.
If you're worried that you might have erectile dysfunction, it's best to talk to your doctor as soon as you experience multiple incidents in which you have difficulty getting or keeping an erection during sex.
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The most common are sildenafil (best known as Viagra), tadalafil (Cialis) and vardenafil (Levitra).
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Sildenafil should not be used with REVATIO or with other PAH treatments containing sildenafil or any other PDE5 inhibitors (such as Adcirca tadalafil)Sildenafil does not protect against sexually transmitted diseases, including HIV.
Make sure to read all the important safety information and use our platform to talk with a doctor if you are experiencing side-effects so they can recommend adjustments to your treatment plan.
Luckily, ED is one of the easiest sexual dysfunctions to treat.
Content Medically Reviewed by Adrian Rawlinson, MD, VP of Medical Affairs at HimsErectile dysfunction, or ED, is the inability to achieve and maintain a firm enough erection for sexual activity.
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What Young Alumni Are Saying About OLMC
"I am so grateful to have been accepted to the International Baccalaureate program at Morris Knolls. It is an internationally recognized course of study that stresses well-roundedness and critical thinking with a curriculum that emphasizes writing, thinking, communication skills and community service: exactly what I was already focused on at OLMC! Although IB is a highly competitive program, I feel like I've got a significant leg up because of my time at OLMC, and I'm excited to continue with such a meaningful educational experience."
Josh Martinez, Morris Knolls High School '21, International Baccalaureate Program
"I love Morristown High School, and I'm especially excited to be a part of its STEM Academy. I know it will open many doors for my future and allow me to pursue science and math at high levels in college, graduate school, and even someday in my career. OLMC gave me the experience and critical thinking skills not only to be accepted into the STEM academy, but also to excel in it, and I'm so grateful for the strong foundation I got there."
Molly Webber, Morristown High School '22, STEM Academy
"I am thrilled to be a part of the Gateway Academy because it gives me the opportunity to participate in dynamic lectures, internships, and trips around the world, take private Gateway tours of Ivy League campuses, and earn a year of college credit while still in high school. Gateway is the most challenging path I could have taken, but I am confident that my time at OLMC has fully prepared me to succeed, and I can't wait to experience it all!"
Luca DiGiacopo, Boonton High School '22, The Gateway Academy for Academically Gifted Students
"Because the Morris County School of Technology is becoming more and more competitive every year, I was very grateful to have the strong foundation of an OLMC education when I applied. Now that I'm a member of the Academy for Finance & International Business and studying various business subjects, with a specific emphasis on the international business world, I regularly rely on the education I received at OLMC to succeed in my classes."
Joseph Sorce, Morris County School of Technology '21, Academy for Finance & International Business
"OLMC laid the foundation for my success at Sedes Sapientiae High School. The knowledge I gained there of truth, beauty, and goodness has inspired me both to pursue my love of music and vocal performance and deepen my Catholic faith. I am forever grateful for my time at OLMC."
Jillienne Winowski, Sedes Sapientiae '21


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Back to School
Three pieces of news today: a new guide to market-basics, user-ratings, and a new leader-board for Gresham University!
First, some players here on ExtZy are old hands at markets, and how an exchange works, but most aren't, so today we're publishing a "Three Minute Guide to Markets", that explains what goes into a market (like ExtZy or the London Stock Exchange), how it works, and the fundamentals of investing or playing in one. For more information on playing and instructions, make sure to also check out "The One Minute Guide to ExtZy" and the ExtZy Help Files.
Second, we've also introduced a five-star system for rating entities, so even if you decide not to invest, do give a score to sites that you think are particularly valuable:
Finally, we're pleased to announce a new group of entities to be listed on ExtZy - Gresham College (under "Market" click on "Show Search Fields", then click "Gresham College" and click the "Search" button). Gresham is an independently funded educational institution based in Barnard's Inn, Holborn, in the centre of London, and is sharing its Commercial Lecture Series by Michael Mainelli for the past several years.
Welcome to Gresham, and enjoy the new content and features!
Previous Post - "Betting on the New Year" Comment - E-mail Author


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Independent Home Insurance Reviews
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...I was looking for home insurance and I provided all information to the Intact agent. He said he will get back to me soon. After one week and two follow-ups still no update. If they are not able to provide the quote on time, how they will process your claim in emergency. I don't want to do any business with Intact...
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