With a considerable aperture, the neighboring point N will be reproduced, but attended by aberrations comparable in magnitude to ON.

With a visual magnitude of − 0. 04, it is the fourth brightest star in the night sky, after − 1. 46 magnitude Sirius, − 0. 86 magnitude Canopus, and − 0. 27 magnitude Alpha Centauri.

With a near-infrared J band magnitude of-2. 2, only Betelgeuse (- 2. 9 ) and R Doradus (- 2. 6 ) are brighter.

With most IIR transfer functions there are related transfer functions having a frequency response with the same magnitude but a different phase ; in most case the so-called minimum phase transfer function is preferred.

With a visual magnitude of 3. 5, Alpha Telescopii is the brightest star in the constellation.

With regard to stars, brightness is quantified as apparent magnitude and absolute magnitude.

With an apparent visual magnitude of 2. 0, it among the brightest stars in the night sky.

With the magnitude gain being logarithmic, Bode plots make multiplication of magnitudes a simple matter of adding distances on the graph ( in decibels ), since

: With the Zeeman-Doppler imaging technique the direction of the magnetic field on stars can be determined since spectral lines are split according to the Zeeman effect, revealing the direction and magnitude of the field.

With an apparent visual magnitude of 2. 1, parallax measurements yield an estimated distance of 650 light-years ( 198 parsecs ) from Earth, which is about the same as Rigel.

With an apparent visual magnitude of 7. 34, this star is too faint to be viewed with the naked eye even under excellent seeing conditions.

With a magnitude of nearly 9 it is visible through binoculars or a telescope.

With an apparent visual magnitude of 0. 60, it is the second brightest star in the constellation Centaurus and the tenth brightest star in the night sky.

With an apparent magnitude of 5. 8, it is barely visible with the naked eye on a very clear night.

With over 7, 000 earthquakes around the world each year of magnitude 4. 0 or greater, trivial success in earthquake prediction is easily obtained using sufficiently broad parameters of time, location, or magnitude.

With the advent of GPS, the effort required to accurately determine one's position has decreased by orders of magnitude, so the entire field has experienced a revolutionary transition since the 1990s with traditional navigation tasks being phased out.

With networking technology, this magnitude of speed over this distance would be very difficult to attain without a costly dedicated connection as one would likely need to use several hops and have a connection that is not overbooked.

: With plain heroic magnitude of mind

With an absolute magnitude of 7. 8 to 8. 2, it has a diameter in the range of 60 to 160 km.

With careful design, a rate as low as 2 ( B − A ) may be achievable, and it is equivalent to mixing ( heterodyne ) the signal into the frequency range ( 0, B − A ), whose Nyquist rate is 2 ( B − A ).

With further observations, the possibility of a 2029 impact was eliminated, but as of August 2011 a maximum Palermo rating of − 3. 08 applies, due to a possible event in 2036.

) With the first k − 1 components, the kth component can be found by subtracting the first principal components from X:

With permutation matrices the determinant matches the signature, being + 1 or − 1 as the parity of the permutation is even or odd, for the determinant is an alternating function of the rows.

With r = 1 / 4, α = 1, β = − 1 / 2, A ( x ) = 1 / 2, and B ( x ) = − 1 / 2, we can conclude that, for the Catalan numbers,

With a declination of − 9. 46 °, Epsilon Eridani can be viewed from much of the Earth's surface.

With cyanuric chloride or trifluoroacetic anhydride instead of oxalyl chloride, the reaction can be warmed to − 30 ° C without side reactions.

With the non-identity matrix − I in the center, these aren't actually simple groups ; and having a twofold spin cover, they aren't simply-connected either.

* Peter Engberg − acoustic guitars, bouzouki, viola caipira, banjo, chromaharp, cavaquinho and Q-chord ( on " They Follow ", " Under Your Tree ", " The Harvest ", " It Won't Fade " and " Fly With the Black Swan " from Unia and " Cinderblox ", " I Have A Right ", " The Day "," Don't Be Mean ", and " Alone In Heaven " from Stones Grow Her Name

* " Die With Your Boots On " − Iron Maiden ( Last Drop Falls, Orientation )

With some change of symbols ( and units ): r → J, R → − E and the material constant E < sup >− 2 </ sup > → 4π ε < sub > r </ sub > ε < sub > 0 </ sub > these equations take the familiar form:

Note that in the case of input current, G < sub >∞</ sub > is a transresistance gain .</ ref > With v < sub > G </ sub > = 0 and the fact that all the input current flows through R < sub > f </ sub > ( as the FET has an infinite input impedance ), the output voltage is simply − i < sub > in </ sub > R < sub > f </ sub >.

With the wind chill around − 70 ° F / − 57 ° C, ( or − 50 ° F / − 46 ° C ) Starr led his team down the field with three key completions: a 13-yard pass to Dowler, a 12-yarder to running back Donny Anderson, and a 19-yard throw to fullback Chuck Mercein.

With the exception of 7, a safe prime q is of the form 6k − 1 or, equivalently, q ≡ 5 ( mod 6 ) — as is p > 3 ( c. f.

With several England players having retired or been injured after the 2005 series, Australia regained The Ashes in the 2006 – 07 series with a convincing 5 – 0 victory, the second time an Ashes series has been won by that margin.

With a $ 1. 92-billion-a-year tourism industry, Costa Rica stands as the most visited nation in the Central American region, with 1. 9 million foreign visitors in 2007, thus reaching a rate of foreign tourists per capita of 0. 46, one of the highest in the Caribbean Basin, and above other popular destinations such as Mexico ( 0. 21 ), Dominican Republic ( 0. 38 ), and Brazil ( 0. 03 ).

With wins of 13 – 0 and 4 – 2, the Cubs needed to win only one game of the next three in San Diego to make to the World Series.

With a population of about 1. 3 million, Estonia has about 1. 7 million cellular telephones, 0. 5 million fixed phones, and 0. 8 million internet users ( as of 2006 ).

With the above product, the set of all homotopy classes of loops with base point x < sub > 0 </ sub > forms the fundamental group of X at the point x < sub > 0 </ sub > and is denoted

With around 7, 000 personnel serving in the Ghanian military, Ghana has the tenth lowest ratio of active troops per thousand citizens in the world, standing at 0. 6.

With the release of MS-DOS 5. 0, GW-BASIC's place was eventually taken by QBasic, the interpreter part of the separately available QuickBASIC compiler.

With Windows NT 4. 0 in 1996, the shell changed from Program Manager to Windows Explorer.

With respect to this order, 0 is the smallest and 1 the largest idempotent.

With regard to the second and / or third letters in the prefixes in the list below, if the country in question is allocated all callsigns with A to Z in that position, then that country can also use call signs with the digits 0 to 9 in that position.

With an apparent brightness of 0. 03m, this is the second brightest star of the northern hemisphere ( after Arcturus ) and the fifth brightest star in all ; its spectral class is A0 V and it lies at a distance of only 25. 3 ly.

* With r between 0 and 1, the population will eventually die, independent of the initial population.

With the aid of empirical correlation method, a divalent metallic radius of ( 0. 194 ± 0. 010 ) nm has been estimated.

With decreasing stellar mass, the proportion of the star forming a convective envelope steadily increases, while main-sequence stars below 0. 4 solar masses undergo convection throughout their mass.

With a 30 – 23 victory on Monday Night Football, the Vikings moved to a 4 – 0 record.

With phenomenal advances made in tool technology in the last two decades, it is the semiconductor industry view that excimer laser lithography has been a crucial factor in the continued advance of Moore ’ s Law, enabling minimum features sizes in chip manufacturing to shrink from 0. 5 micrometer in 1990 to 45 nanometers and below in 2010.