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For and larger
For larger plantings, you'll need some kind of power for plowing, harrowing, disking, and cultivating.
For Euclid ’ s method to succeed, the starting lengths must satisfy two requirements: ( i ) the lengths must not be 0, AND ( ii ) the subtraction must be “ proper ”, a test must guarantee that the smaller of the two numbers is subtracted from the larger ( alternately, the two can be equal so their subtraction yields 0 ).
For galaxies ( which are of course themselves much larger than 10 parsecs, and whose overall brightness cannot be directly observed from relatively short distances ) the absolute magnitude is defined by reference to the apparent brightness of a point-like or star-like source of the same total luminosity as the galaxy, as it would appear if observed at the standard 10 parsecs distance.
For instance, slower lighter aircraft are usually allowed closer and lower to the crowd than larger, faster types.
For example, the graph contains the points ( 1, 1 ), ( 2, 0. 5 ), ( 5, 0. 2 ), ( 10, 0. 1 ), ... As the values of x become larger and larger, say 100, 1000, 10, 000 ..., putting them far to the right of the illustration, the corresponding values of y,. 01,. 001,. 0001, ..., become infinitesimal relative to the scale shown.
For example, primates have brains 5 to 10 times larger than the formula predicts.
For example, in the mid-Atlantic US, the X-Acto name is likelier to evoke only a specific subset of these knives ( the pencil-shaped hobby knife ), which may explain why the " utility knife " name, with its specificity, is more common there for the larger type.
For about 5 % to 10 % women, their breasts are severely different, with the left breast being larger in 62 % of cases.
For example, the asterism known as the Big Dipper corresponds to the seven brightest stars of the larger IAU constellation of Ursa Major.
For diatomic molecules, a systematic study using a minimum basis set and the first calculation with a larger basis set were published by Ransil and Nesbet respectively in 1960.
For example, so-called " intercity " trains in Belgium and the Netherlands carry many commuters and their equipment, range and speeds are similar to those of commuter trains in some larger countries.
For example, periods of high oxygen concentrations determined from ice core samples have been associated with fauna of a larger scale in the fossil record, while periods of low oxygen concentrations have been associated with fauna of a smaller scale in the fossil record.
For larger values of n, Fermat's Last Theorem states there are no positive integer solutions ( x, y, z ).</ td >
For example, an equivalence relation with exactly two infinite equivalence classes is an easy example of a theory which is ω-categorical, but not categorical for any larger cardinal number.
For Earth, on average L is equal to 1. 384 km, which is much larger than the Moon's semimajor axis of 3. 844 km.
For others, psychological inconsistency is not a stumbling block to good drama: " Euripides is in pursuit of a larger insight: he aims to set forth the two modes, emotional and rational, with which human beings confront their own mortality.
For small structures, like single-family houses, the slab may be less than 300 mm thick ; for larger structures, the foundation slab may be several meters thick.
For example, Graham's number, though finite, is unimaginably larger than other well-known large numbers such as a googol, googolplex, and even larger than Skewes ' number and Moser's number.
For instance, suppose that each input is an integer z in the range 0 to N − 1, and the output must be an integer h in the range 0 to n − 1, where N is much larger than n. Then the hash function could be h
For a fund structured as a company, shares will be both issued and redeemed at the net asset value (" NAV ") per share, so that if the value of the underlying investments has increased ( and the NAV per share has therefore also increased ) then the investor will receive a larger sum on redemption than it paid on investment.
For example, the free software such as InfraRecorder and mkisofs as well as Roxio Toast are able to create ISO 9660 filesystems that use multi-extent files to store files larger than 4 GB on appropriate media such as recordable DVDs.
For larger volumes of fluids, such as annual consumption of tap water, lorry ( truck ) tanks, or swimming pools, the cubic metre is the general unit.

For and quantities
For such an online algorithm, a recurrence relation is required between quantities from which the required statistics can be calculated in a numerically stable fashion.
For example, observable physical quantities are represented by self-adjoint operators, such as energy or momentum, whereas transformative processes are represented by unitary linear operators such as rotation or the progression of time.
For a given amount of substance contained in a system, the temperature, volume, and pressure are not independent quantities ; they are connected by a relationship of the general form:
For anisotropic multicomponent diffusion coefficients one needs 4-index quantities, for example,, where i, j are related to the components and α, β = 1, 2, 3 correspond to the space coordinates.
Newton sought to remove the use of infinitesimals from his fluxional calculus, preferring to talk of velocities as in " For by the ultimate velocity is meant ... the ultimate ratio of evanescent quantities ".
For example, if the big blind in a live table game is $ 3 then the small blind will usually be $ 1 or $ 2 since most casinos do not distribute large quantities of $ 0. 50 poker chips.
For example, a consumer dishwasher would be controlled by an electromechanical cam timer costing only a few dollars in production quantities.
For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.
For primary thermometers the measured property of matter is known so well that temperature can be calculated without any unknown quantities.
For this reason, vitamin K < sub > 1 </ sub > is found in large quantities in the photosynthetic tissues of plants ( green leaves, and green leafy vegetables such as kale and spinach ), but it occurs in far smaller quantities in other plant tissues ( roots, fruits, etc .).
For example, as the gold-bearing ore sloped away from the outcrop underground to the south, more and more blasting was necessary for extraction, and mines consumed vast quantities of explosives.
For instance, in 1929 Emmy Noether at Bryn Mawr wrote on " hypercomplex quantities and representation theory ".
For most of history, most cookbooks did not specify quantities precisely, instead talking of " a nice leg of spring lamb ", a " cupful " of lentils, a piece of butter " the size of a walnut ", and " sufficient " salt.
For regular variables, the period of variation and its amplitude can be very well established ; for many variable stars, though, these quantities may vary slowly over time, or even from one period to the next.
For example, using the CDC definition requires that intestinal tissue be so severely damaged that blood vessels have ruptured, allowing visible quantities of blood to be lost with defecation.
For simplicity we assume unit price ( i. e. P = 1 ), and thus quantities also represent values in all equations.
For convenience and due to the range of magnitudes involved, these quantities are almost always reported in kJ · mol < sup >− 1 </ sup > rather than in J · mol < sup >− 1 </ sup >.
For the first time the Americans held a major port to funnel large numbers of men and quantities of war material into the island.
* For any quantities a and b and any expression F ( x ), if a
* For any quantities a and b, if a
* For any quantities a, b, and c, if a = b and b
For example, if two models were produced in similar quantities in the ' 50s, one an interesting sports car, the other a rather dull military vehicle, then the former probably disappeared from store shelves much faster.

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