a way of making the problem of proving things like 0 <= 2 concrete, consider the following LSL trait. This trait uses the Integer trait in Guttag and Horning's handbook (see [Guttag-Horning93], p. 163) DecimalProblem: trait includes Integer implies equations ~(1 <= 0); 0 <= 2; The problem is how to coax LP into proving these implications. The following answer is adapted from a posting of Vandevoorde's 'comp.specification.larch' (September 7, 1995).

It is difficult to prove a theory is consistent using LP. However, one can profitably use LP to search for inconsistency. (See section 2.18 What pitfalls are there for LSL specifiers?, for some common LSL problems that lead to inconsistency.) One way to use LP to search for inconsistency is using the complete command. This directs LP to attempt to add enough rewrite rules to make the theory equationally complete.

Solar car races are typically races of endurance. Fast acceleration and hard braking waste a lot of power. Therefore, we haven't timed our acceleration

Although one cannot list both unknown and hmm in the same converts clause, one could add another converts clause to the trait ConvertsTrait, stating that unknown is converted, relative to the other operators, which in that case include hmm.

over 1 refers to two colors on the front and black & white on the back. 4 over 2 refers to full Colors on both the front andtwo colors on the back. 2 over 0 means full color printing on one side only.

Currently, LP only runs on Unix machines. You can get an implementation of LP using the world-wide web, starting at the following URL. http://www.sds.lcs.mit.edu/spd/larch/LP/news/distribution.html You can also get an implementation by anonymous ftp from the following URL. ftp://ftp.sds.lcs.mit.edu/pub/Larch/LP/ See section 2.

If you are running LP under Unix, the Unix "quit" character (usually C-g, that's control-g) will interrupt LP's execution. See section 3.6 Can I change the erase character in LP?, for other characters that aid in editing interactive input to LP. See section 3.20 How can I develop a proof that I can replay later?, for a way to avoid tedium and much direct interaction with LP.

Each of these numbers represents a factor which multiplies the color sub carrier frequency to obtain a sampler frequency for the digitizing process. The first number (=4) is the sampler for luminance (Y), the other two are for both color components (U and V). Then, in a 4:2:2 digitized video data we have 4 samples of Y for each 4 samples of chroma (or 2 samples of each chroma component). In the case of 4:2:0, we have 4 samples of Y for each 2 of chroma.

Acc. to ATEX every operator of a plant has to classify the hazardous areas of the plant into ZonesThe image illustrates simplified the zones of explosives atmospheres: Zone 1 hazardous area is classified as an area where an explosive atmosphere is likely to occur during normal operation. These conditions would be expected to be present for between 10 and 1000 hours per year.

This makes more than sense. Mathematically, 1.99999999999999999999999999999999999999999999999999 is smaller than 2, but what is the practical difference with 2? You always have to consider rounding errors also... If the variable is defined as integer then just say x <= 1

Some U.S. states place Exit 0's on their highways in some or all cases where the exit falls between Mile 0 (southern or western terminus or entry into the state) and Mile 1. States/territories with Exit 0's are AL, CO, IN, IA, KY, MT, NM, PA, PR, TX, and WV. http://groups.google.com/group/misc.transport.road/browse_frm/thread/188f573a8cc0d2e3 , http://groups.google.com/group/misc.transport.road/browse_frm/thread/ccff960128ae3f4c , and http://groups.google.com/group/misc.transport.

Only if you have taken 2 years of CPSC courses and they all articulate to the first 2 years of the program. The degree is set up on a 4 year plan, each semester being a prerequisite to the next, so if you only have 2 years of electives, you will be here for 4 years. Any deviation from the program will put you back a year.

A 1+1 seedling is grown for one year in an outdoor nursery bed at a fairly high density, and then lifted, graded and transplanted back into the nursery at a much lower density for growing an additional year. This growing regime along with nursery cultural practices helps to create a hardy seedling with a very moppy, fibrous root system, good lateral branching, large caliper and better balance than other bareroot stocktypes of the same species.

No, no, definitely no. The following table illustrates the "nuances" between the different chroma formats for a typical "CCIR 601" frame with pixel dimensions of 720 pixels/line x 480 lines/frame: and 3:1:0 are less common variations, but have been documented. As shocking as it may seem, the 4:1:0 ratio was used by Intel's DVI for several years.

A point is one percentage of the loan amount. The lenders offer rates that may be lower, but require paying points. A rate of 7.875% with 1 point for a loan of $100,000 would require the borrower to pay a total of $1,000 to the lender upon closing of the loan. A rate of 8.000% with 0 points will require no payment to the lender, but the interest rate is slightly higher. Points will lower the interest rate and are of most benefit if you intend to keep the loan for a long time.

The firmware upgrade changes the way the drive reads out the SCSI id settings. It can therefore happen that after the flash the SCSI id of your drive conflicts with the SCSI id of another device. you see in the table above, the SCSI id 0, 2 and 5 do not change as an effect of the flash. SCSI id 7 is normally reserved for the SCSI controler and should not be used.

EUCALYPTUS 2.* has two main changes, compared to versions 0.* and 1.*: it is written in TCL/TK instead of XTPANEL, so the interface is much better and faster; it will be integrated in CADP so you no longer need to install two packages (CADP and EUCALYPTUS). Consequently, EUCALYPTUS 1.2 (which is the most latest XTPANEL-based version) will no longer evolve in the future.

Sure. Just get the appropriate adapter or cable to plug into the 1/4" TRS jacks and use the input like any other line input.

Bill Drummond's 1986 solo LP on Creation records is a mixed bag of country-rock tunes, awful singing, up tempo instrumentals, a couple of good pop songs, the 'particularly funny' old English ballad type 'Julian Cope Is Dead', and a Scottish Nationalist poem 'Such A Parcel Of Rogues In A Nation' read by his father, the Reverend Jack Drummond.

Liquefied petroleum gas is a petroleum product separated out of natural gas and crude oil in the refining process. It looks and acts just like water, except for its boiling point. The boiling of liquefied petroleum gas produces a "steam" of a colorless, odorless flammable gas. odorant, usually ethyl mercaptan, is added to propane as a warning agent. This sulfur compound gives the gas its rotten egg odor.

The Sony MDS-W1 double MD deck will not move LP mode tracks properly. When the MDS-W1 moves LP2 and LP4 tracks to another disc it sets their SP bits on in the UTOC track header, turning LP4 tracks into (silent) SP mono and LP2 tracks into (silent) SP stereo. The track's audio data is copied properly however, so with careful use of TOC cloning to restore the LP bit in the track header, copied LP tracks will play correctly.

The Larch Prover (LP) [Garland-Guttag95] is a program that helps check and debug proofs. It is not geared toward proving conjectures automatically, but rather toward automating the tedious parts of proofs. It automates equational rewriting (proofs by normalization), but does not (by default) automatically try other proof techniques. aid the debugging of specifications (i.e.

The original reason LP was built to help debug formal specifications (see [Garland-Guttag-Horning90] and Chapter 7 of [Guttag-Horning93]). It has, however, also been used for several other purposes, including the following (reported in messages to the larch-interest mailing list, February 7 and July 23, 1994).

According to Garland (posting on the larch-interest mailing list, July 14, 1995), the erase (or rubout) character used by LP cannot be changed easily. The reason is that "LP is written in CLU, and LP's line editing features are provided by the CLU runtime environment. This environment hard-wires the delete key [DEL] as the rubout character." You can erase the current line in LP by typing a C-u (control-U). You can redisplay the current line by typing C-r.

The most important tip for using LP is to think about your conjectures, and to be very skeptical of their truth. When you first start using LP, you will be tempted to have it do the thinking for you. You may find yourself trying random proof techniques to prove the current subgoal. Resist that temptation! Curb your desire for automatic proof! Instead, use one of the following two ideas (see the section titled "Sample Proofs: how to guide a proof" in [Garland-Guttag95]).

The biggest pitfall is to not think about what you are doing, but to simply try random proof strategies. This quickly becomes frustrating. See section 3.15 Can you give me some tips on proving things with LP?, for how to work with LP in a more fruitful way. If your theory is inconsistent, proofs may not be easy, but they will always be possible. Always try to convince yourself of your theory's consistency before celebrating your proof. See section 3.

Every point located on the equator (an imaginary great circle passing round the middle of the Earth) is at zero degrees of latitude. Zero degrees longitude is every point on the Greenwich Meridian or primary meridian - an imaginary line which runs from the North Pole to the South Pole. By international convention it runs through "the primary transit" instrument (main telescope) at the Royal Observatory in Greenwich. Check out the Royal Greenwich Observatory special visit.