* Klal ufrat, a generality and a particularity: If we find a phrase signifying a particularity following that of a generality, the particularity particularises the generality and we only take that particular case into account.

* Klal ufrat ukhlal, a generality, a particularity and a generality: If there is a particularity inserted between two generalities, we only add cases similar to the particularity.

It is not well known, but the work is actually not a commentary on the Talmud but is rather a commentary on the Rif, and always starts with the text of the Rif ( see Shach quoted in Kellolei HoRif, Rabbeinu Osher, ViTur printed before the Rosh on Shabbos, Klal 2 ).

He answered that since the Bnei Reuven had been distant from the rest of Klal Yisroel before this ruling had been accepted, there is no reason to assume that they accepted this ruling, and there was a chance that they were still keeping the institution of semikhah alive.

80 is the value of Klal ( כלל ), the " community ", the extension of Kol ( כל ), the term in Kabbalah for the sephirah of Yesod.

: Years ago, an organization like the Chofetz Chaim Heritage Foundation -- which is marshaling the latest technology and enlisting the best communicators to help Klal Yisroel fight loshon hara and other sins of speech – would have been unimaginable.

:... Reform, Conservative and Reconstructionist communities are not only more numerous in their official memberships than the Orthodox community, but they are also vital, powerful and dynamic ; they are committed to Jewish survival, each according to its own lights ; they are a part of Klal Yisrael ; and they consider their rabbis their leaders.

) What a great zechus ( merit ) this would be for Klal Yisrael during these perilous times if thousands of Jews become more careful in guarding their speech.

In this way, the school strengthens and energizes Conservative Judaism and Klal Yisrael.

This is a particularly difficult area of research as mobile data is more complex than recommender systems often have to deal with ( it is heterogeneous, noisy, requires spatial and temporal auto-correlation, and has validation and generality problems ).

* Prat ukhlal, a particularity and a generality: If the order is first the particularity and then the generality, we add from the generality upon the particularity, even to a broad extent.

If this is not already the case then both A and B can be multiplied by this factor ; the factor cancels so the terms are unchanged and there is no loss of generality.

* Pre-Test Effects: If cause-effect relationships can only be found when pre-tests are carried out, then this also limits the generality of the findings.

* Post-Test Effects: If cause-effect relationships can only be found when post-tests are carried out, then this also limits the generality of the findings.

The impression was unmistakable that, whatever one may choose to call it, natural law is a functioning generality with a certain objective existence.

no necessary assumptions for ANOVA is its full generality, but the

Continuity of functions is one of the core concepts of topology, which is treated in full generality below.

What we have constructed is called the Alexandroff one-point compactification of the real line, discussed in more generality below.

In more generality, reflection across a line through the origin making an angle with the x-axis, is equivalent to replacing every point with coordinates ( x, y ) by the point with coordinates ( x < nowiki >'</ nowiki >, y < nowiki >'</ nowiki >), where

* Deductive reasoning, inference in which the conclusion is of no greater generality than the premises

As explained in the section Equivalence with function problems below, there is no loss of generality.

So it suffices to prove the four color theorem for triangulated graphs to prove it for all planar graphs, and without loss of generality we assume the graph is triangulated.

Pan ( 1986 ) proved an lower bound assuming a bound on a measure of the FFT algorithm's " asynchronicity ", but the generality of this assumption is unclear.

Another of the most common objections to reliabilism, made first to Goldman's reliable process theory of knowledge and later to other reliabilist theories, is the so-called generality problem.

We can assume without loss of generality that the support of each X < sub > i </ sub > is

Multilinear algebra can be developed in greater generality than for scalars coming from a field, but the theory is then certainly less geometric, and computations more technical and less algorithmic.

As with every universal property, the above definition describes a balanced state of generality: The limit object L has to be general enough to allow any other cone to factor through it ; on the other hand, L has to be sufficiently specific, so that only one such factorization is possible for every cone.

While that glittering generality has rhetorical appeal, it is not a correct statement of the law.

Since y ( t ) is the derivate of x ( t ) we can without loss of generality rewrite it as

where the origin of the z-axis is defined, without loss of generality, to coincide with the beam waist, and where

There is a school of thought among economic historians that splits economic history — the study of how economic phenomena evolved in the past — from historical economics — testing the generality of economic theory using historical episodes.

The introduction of quantification, needed to solve the problem of multiple generality, rendered impossible the kind of subject-predicate analysis that governed Aristotle's account, although there is a renewed interest in term logic, attempting to find calculi in the spirit of Aristotle's syllogistic but with the generality of modern logics based on the quantifier.

Extraordinary ( Alaukika or Asadharana ) perception is of three types, viz., Samanyalakshana ( perceiving generality from a particular object ), Jñanalakshana ( when one sense organ can also perceive qualities not attributable to it, as when seeing a chili, one knows that it would be bitter or hot ), and Yogaja ( when certain human beings, from the power of Yoga, can perceive past, present and future and have supernatural abilities, either complete or some ).

The Zulu attitude towards firearms was that: " The generality of Zulu warriors, however, would not have firearms-the arms of a coward, as they said, for they enable the poltroon to kill the brave without awaiting his attack.

The Zulu attitude towards firearms was that: " The generality of Zulu warriors, however, would not have firearms – the arms of a coward, as they said, for they enable the poltroon to kill the brave without awaiting his attack.

Some authors assume the random variables X < sub > t </ sub > have mean zero ; this greatly simplifies calculations without loss of generality and allows the mean square properties of the process to be entirely determined by the covariance function K.

However, their marksmanship was very poor, quality and supply of powder and shot dreadful, maintenance non-existent and attitude towards firearms summed up in the observation that: " The generality of Zulu warriors, however, would not have firearms – the arms of a coward, as they said, for they enable the poltroon to kill the brave without awaiting his attack.

Three subfields of the complex numbers C have been suggested as encoding the notion of a " closed-form number "; in increasing order of generality, these are the EL numbers, Liouville numbers, and elementary numbers.

* Without affecting the generality of the main objects, the Society shall have the following ancillary objects:

Column generation leverages this idea to generate only the variables which have the potential to improve the objective function -- that is, to find variables with negative reduced cost ( assuming without loss of generality that the problem is a minimization problem ).

People have proposed a variety of schema-less solutions such as " Lean Middleware ", but ease-of-use and speed of employment appear inversely proportional to the generality of such systems.

There have been suggestions of additional laws, but none of them achieve the generality of the four accepted laws, and they are not mentioned in standard textbooks.

It is designed purely for pedagogic use, so efficiency and ease of implementation have been far less important in its development than generality and range of application.

The generality of the principles of natural selection means that any entities in nature that have variation, reproduction, and heritability may evolve.

where we have chosen, without loss of generality, the expression − k < sup > 2 </ sup > for the value of the constant.

Many other theoretical derivations have also appeared, lending further confidence to its generality.

Since λ < λ + 1 and − λ − 1 < − λ, without any loss of generality we can assume the highest weight is λ ( if it's − λ − 1, just redefine a new λ ’ as − λ − 1 ) and the lowest weight would then have to be − λ.

One sweeping generality is that in all ecosystems, fire creates a mosaic of different habitat patches, with areas ranging from those having just been burned to those that have been untouched by fire for many years.