Warrior Ancient and Medieval Rules

[Mike Turner]

Geeze Ewan, you almost had us understanding what you were saying!
Then you go and throw a four syllable word in there and lose us again!

Mike

--- In WarriorRules@yahoogroups.com, Ewan McNay <ewan.mcnay@y...>
wrote:
>
> Yes - sorry, thought that the ascii terminology, where there's
no 'struck
> through equal' sign, was standard, but probably just science geek
stuff .
>
> So, at somewhat more length: the question asked was 'did I miss
> something?' and my answer was intended to say 'yes, you mssed the
fact
> that 'uneasy' and 'unsteady' are orthogonal.'
>
>
>
> e. And yes, OK, I *could* buy some loose troops in the Sassanid
list. At
> 3000 points or so..
>
> hrisikos@D... wrote:
> >> Yes. Uneasy != unsteady.
> >>
> >
> >
> >
> > Ewan,
> >
> > What does != mean? Clearly uneasy is not the same as unsteady.
Unsteady
> > means disordered and has nothing to do with morale, which is what
> > uneasy relates to. Unease is a morale deal. Steadiness is a
different
> > concept altogether, so, no, the hypaspists would not test. They
might
> > be uneasy for morale test purposes, but they are not unsteady
unless
> > disordered. So, does != mean not equal to?
> >
> > -Greek
> >
> >
> >
> >
> >
> > Yahoo! Groups Links
> >
> >
> >
> >
> >
> >
> >
>

[Ewan McNay]

Bzzt. Thankyou for playing, Mr. Downs. However - as the 'at 90 degrees'
implies - the conditions being described would rather be irrelevant to one
another, not opposing.

Or, as the OED would have it: "Of a set of variates: statistically
independent. Of an experimental design: such that the variates under
investigation can be treated as statistically independent.*"

Who said wargaming was not educational?

darnd022263@... wrote:

> In a message dated 11/10/2005 9:26:09 AM Eastern Standard Time,
> Turnerm@... writes:
> orthogonal.
>
> orthogonal
>
> At right angles. The term is used to describe electronic signals that appear
> at 90 degree angles to each other. It is also widely used to describe
> conditions that are contradictory, or opposite, rather than in parallel or in
sync
> with each other.

* I. General uses.

1. a. Designating a right angle; (also) having a right angle;
right-angled; rectangular. Now rare.

1571 L. DIGGES Geom. Pract. I. Defs. sig. Bjv, Of straight lined angles
there are three kindes, the Orthogonall, the Obtuse and the Acute Angle.
1571 L. DIGGES Geom. Pract. I. Defs. sig. Bjv, Eche of those Angles is an
Orthogonall or right Angle. 1611 R. COTGRAVE Dict. French & Eng. Tongues,
Orthogonal, orthogonall, right cornered. 1612 J. SELDEN in M. Drayton
Poly-olbion I. To Rdr. sig. A3, Pythagoras his sacrifice after his
Geometricall Theorem in finding the Squares of an Orthogonall Triangles
sides. 1871 L. COLANGE Zell's Pop. Encycl. II. 531/2
Orthogonal..Right-angled; rectangular. 1979 W. STYRON Sophie's Choice
(2000) 327 The old man..seemed thoroughly exhilaratedthe clean bright
orthogonal Mondrians bringing special delight to his technician's eye.

b. Relating to or involving right angles; at right angles (to
something else).

1694 P. A. MOTTEUX Wks. F. Rabelais (1737) v. 235 An Orthogonal Line. 1878
H. P. GURNEY Crystallogr. 37 If two symmetral planes intersect at right
angles the line in which they cut is called an axis of orthogonal
symmetry. 1892 A. E. H. LOVE Treat. Math. Theory Elasticity I. 200 Systems
of surfaces which cut each other everywhere at right angles. Such systems
are called orthogonal surfaces. 1953 S. W. AMOS & D. C. BIRKINSHAW Telev.
Engin. I. iv. 107 It is important, therefore, that the scanning beam
should approach the target strictly at right angles at all points; in
other words orthogonal scanning is necessary. 1978 P. W. ATKINS Physical
Chem. xv. 476 Two orthogonal (perpendicular) bonds are formed in this way.
1989 B. ALBERTS et al. Molecular Biol. Cell (ed. 2) iv. 171 The narrow gel
containing the separated proteins is again subjected to electrophoresis
but in a direction orthogonal to that used in the first step.

2. Math. a. Of a linear transformation of a vector space:
preserving lengths and angles; leaving unchanged the inner product of any
two vectors.

1852 J. J. SYLVESTER in Cambr. & Dublin Math. Jrnl. 7 57 Then x2 + y2 + z2
remains invariable, which is the well-known characteristic of orthogonal
transformation. 1893 L. G. WELD Short Course Theory Determinants ix. 227
The transformation, in analytical geometry, from one set of axes to
another, without changing the origin, is orthogonal. 1941 G. BIRKHOFF & S.
MACLANE Surv. Mod. Algebra ix. 222 A linear transformation T is orthogonal
if it preserves the absolute value of every vector , so that |T| = ||.
1972 F. E. HOHN Introd. Linear Algebra viii. 237 An orthogonal
transformation of n maps orthogonal vectors onto orthogonal vectors and
nonorthogonal vectors onto nonorthogonal vectors. 1998 R. H. HECK in G. A.
Marcoulides Mod. Methods Business Res. vii. 195 The goal of orthogonal
rotation is to maintain the 90° of separation between the clusters of
variables but to get each set of variables clustered on an axis.

b. Of a square matrix: representing an orthogonal transformation;
such that the rows (and likewise the columns) are orthonormal when
considered as vectors; equal to the inverse of its transpose.
These three properties are equivalent.

1891 Proc. London Math. Soc. 22 449 (title) On certain properties of
symmetric, skew symmetric, and orthogonal matrices. 1907 M. BÔCHER Introd.
Higher Algebra xi. 154 An orthogonal transformation. [Note] The matrix of
such a transformation is called an orthogonal matrix. 1964 N. N. HANCOCK
Matrix Anal. Electr. Machinery ii. 18 The value of the determinant of an
orthogonal matrix is necessarily ± 1, but the converse is not true. 1990
IMA Jrnl. Numerical Anal. 10 551 k is an m × m orthogonal matrix
corresponding to a suitable Householder transformation (or a product of
Givens transformations).

c. Designating the group of all orthogonal matrices of a given order.

1898 Bull. Amer. Math. Soc. 4 196 A linear substitution S on the marks of
a Galois Field of order pn..will be called orthogonal if it leaves
absolutely invariant 12 + 22 +...+ m2... The order of the orthogonal group
G on m indices in the GF[2n] is thus [etc.]. 1941 G. BIRKHOFF & S. MACLANE
Surv. Mod. Algebra ix. 225 This subgroup of the full linear group..is
called the orthogonal group On; it is isomorphic to the group of all
orthogonal transformations of the given Euclidean space. 1972 F. E. HOHN
Introd. Linear Algebra viii. 252 Show that the set of all linear operators
on n of the form Y = UX, where U is orthogonal, constitute a group (the
orthogonal group). 1992 G. ELLIS Rings & Fields viii. 138 The orthogonal
group..consisting of all n × n complex matrices which are orthogonal.

d. Of two vectors or functions: perpendicular; having an inner
product equal to zero. Of a set of vectors or functions: such that the
inner product of any two elements is zero if and only if the two are
distinct. Also: involving such factors or functions.

1913 Proc. London Math. Soc. 12 297 The theory of Fourier series and of
other series of orthogonal functions. 1926 E. W. HOBSON Theory of
Functions of Real Variable (ed. 2) II. x. 754 If {n(x)} be a complete
sequence of linearly independent functions for the interval (a, b), a
normal orthogonal and complete system of functions {n(x)} can be so
determined that n(x) is a linear function of 1(x), 2(x),...n(x). 1941 R.
V. CHURCHILL Fourier Series iii. 45 The functions einx = cos nx + i sin nx
(n = 0, ±1, ±2,...) form a system which is orthogonal on the interval (-,
). 1967 A. A. GOLDSTEIN Constructive Real Anal. iii. 112 We define an
inner product space I[a, b] by introducing an inner product..defined by
[f, g] = ba f(t) g(t)dt. Two functions f and g in I[a, b] are said to be
orthogonal if [f, g] = 0. 1967 A. A. GOLDSTEIN Constructive Real Anal.
iii. 115 Two points x and y of [a Hilbert space] H are orthogonal if [x,
y] = 0. Similarly, two subspaces M and N of H are said to be orthogonal if
[M, N] = 0. 1968 C. G. KUPER Introd. Theory Superconductivity i. 3
Bardeen, Cooper and Schrieffer (1957) constructed a variational wave
function for a ground state with complete electron pairing, and orthogonal
functions for low-lying excited states having only a few such pairs
broken. 1990 T. PETRIE & J. RANDALL Connections, Definite Forms, &
Four-manifolds iii. 35 Thus * preserves harmonic forms and so induces an
orthogonal splitting H2 = H+ H-.

3. Statistics. Of a set of variates: statistically independent. Of an
experimental design: such that the variates under investigation can be
treated as statistically independent. Freq. with to.

1933 Jrnl. Agric. Sci. 23 110 In an ordinary replicated field experiment
of the randomised block or Latin square type the differences of the means
of plots receiving the same treatments are taken without hesitation to be
true measures of treatment differences, but this is only so because the
experiment has been specially arranged so as to be orthogonal. 1950 M. H.
QUENOUILLE Introd. Statistics iv. 59 The only manner in which we can
assume that sex does not enter into the comparison is to choose the same
proportion of each sex in each age group. The effect of sex is then said
to be ‘orthogonal’ to the effect of age. 1973 Jrnl. Genetic Psychol. 122
45 Implicit in the work..is the concept that creativity and intelligence
are relatively orthogonal (i.e., unrelated statistically) at high levels
of intelligence. 1982 Lang. & Communication 2 261 Orthogonal comparisons
between levels of attribute type were made using Wilcoxon's tests. 1991
Forestry 64 364 Each additional new variable accounts for the largest
amount of remaining variation such that it is independent of (orthogonal
to) the previously derived principal components.

II. Special uses.

4. orthogonal projection, a method of projection employing rays which
are at right angles to the plane of projection; (also) a projection drawn
or made by such means. orthogonal trajectory Geom., a curve intersecting
each of a family of curves at right angles.

1835 Philos. Trans. Royal Soc. 125 223 We assume, for reasons too well
known to need specification here, that the *orthogonal projection of the
dipping-needle upon the horizontal plane gives the position of the
horizontal needle. 1878 R. T. H. BARTLEY tr. P. Topinard Anthropol. II.
iii. 264 Orthogonal projections are the only ones which give exact
measurements applicable to craniometry. 1957 J. EMMONS tr. O. Benesch
Rembrandt 69 The Night Watch..shows Rembrandt laying greater stress on the
plane of relief, which he boldly cuts through by means of orthogonal
projection, with the result that the plane surface of the canvas is
seemingly transformed into three-dimensional space. 1816 tr. S. F. Lacroix
Differential & Integral Calculus 403 The trajectories in which the angle
TMt is a right angle, are called *orthogonal trajectories. 1882 S. H.
VINES tr. F. G. J. von Sachs Text-bk. Bot. 951 The planes of the walls in
a growing-point are classified thus: a. Periclinal... b. Anticlinal, those
which intersect the surface and the periclinal walls at right angles... If
the outline..of the growing-point is a parabola..the anticlinals being the
orthogonal trajectories of the periclinals, constitute a system of
confocal parabolas. 1904 Trans. Amer. Math. Soc. 5 56 Such a system of
geodesics together with the orthogonal trajectories may be regarded as
dividing the surface into infinitesimal squares. 1993 Amer. Math. Monthly
100 127 But because z z2 is conformal, the image H must be an orthogonal
trajectory through the new family of ellipsis.

[Mike Turner]

Thank you, Mr. Downs,

Next time I'll put a smiley face (but I think Ewan figured out I was
kidding)

Now I understand why Jon has to take long breaks from the Computer, as
Mr. Cleaves works down the hall and the last couple of days have
resulted in interesting remarks form that office.

Mike

--- In WarriorRules@yahoogroups.com, darnd022263@a... wrote:
>
> In a message dated 11/10/2005 9:26:09 AM Eastern Standard Time,
> Turnerm@l... writes:
> orthogonal.
>
> orthogonal
>
> At right angles. The term is used to describe electronic signals that
appear
> at 90 degree angles to each other. It is also widely used to describe
> conditions that are contradictory, or opposite, rather than in
parallel or in sync
> with each other.
>
>
> [Non-text portions of this message have been removed]
>

[Todd Schneider]

Dude, if you can hear those when he has the door
shut...

Todd

--- turner1118 <Turnerm@...> wrote:

> Thank you, Mr. Downs,
>
> Next time I'll put a smiley face (but I think Ewan
> figured out I was
> kidding)
>
> Now I understand why Jon has to take long breaks
> from the Computer, as
> Mr. Cleaves works down the hall and the last couple
> of days have
> resulted in interesting remarks form that office.
>
> Mike
>
> --- In WarriorRules@yahoogroups.com,
> darnd022263@a... wrote:
> >
> > In a message dated 11/10/2005 9:26:09 AM Eastern
> Standard Time,
> > Turnerm@l... writes:
> > orthogonal.
> >
> > orthogonal
> >
> > At right angles. The term is used to describe
> electronic signals that
> appear
> > at 90 degree angles to each other. It is also
> widely used to describe
> > conditions that are contradictory, or opposite,
> rather than in
> parallel or in sync
> > with each other.
> >
> >
> > [Non-text portions of this message have been
> removed]
> >
>
>
>
>
>
>




__________________________________
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[joncleaves]

Ok, let's call a halt to this thread (colorful language issuing from my office
aside...lol). I think it has played out and I am tired of seeing the word
paying misspelled in the subject line. :)

Move on dudes!

J

-----Original Message-----
From: markmallard7@...
To: WarriorRules@yahoogroups.com
Sent: Thu, 10 Nov 2005 11:02:14 EST
Subject: Re: [WarriorRules] Re: Payng For Things You Get, etc ...



**
Very true.

mark mallard


In a message dated 10/11/2005 15:30:53 GMT Standard Time,
darnd022263@... writes:

By the way Todd. Even the Macedonians spread elephants out among the troops
throughout the army.

Deekcus






[Non-text portions of this message have been removed]




Yahoo! Groups Links






[Non-text portions of this message have been removed]