NEMO Sciences articles use several adjustments similar to present usage in mathematics, computation, and sciences-- |

GLOSSARY, ACRONYMS (*'anchronyms', in submariner jargon*):

Mathematical nomenclature: (*as it withstands improvement to clarify its utility in high-technology*)

- At-sign, @ (
*or sometimes lowercase e*), for a number "at" a place, position, so-many-tens, powers of ten, characteristic, scale, range, radix-ten exponent; scientific notation [rather than computer-traditional E, double-precision D]- e.g. 5.12@3 = 5120
- e.g. 5.12@-3 = 0.00512

- Complex angle, & = ¢ + i$ "ensine equals cosine plus i (times) sine, of"
- outer product, ⋅ , · , (angle summation) [dot/middot]
- inner product, ⨪ , ∸ , ∸ , (angle difference) [dot minus/bar]
- inner division, ÷ , (angle difference) [colon minus/bar]
- outer division, : , (angle summation) [colon]

- Complexor, a complex-number-comprised-of-complex-numbers; quaternions, octonions; the mathematicians' 1,i,j,k notation for quaternions is a real+vector order appending to the concept of real number, 1, imaginary vectors, i,j,ij=k, extended to reach the complex and complexor numbers; space-time physicists entitle alphabetic-order, i,j,k,l (lowercase 1), appending 1D-time to 3D-space; Octonions append L,I,J,K, or, I,J,K,L (capitalized 1,l)
- Derivatives named, the (
*much-used*) space-time moments:- The First Derivative of [scalar] distance, with respect to time is, speed, e.g. ft/sec

The First Derivative of [vector] position, with respect to time is, velocity - The First Derivative of speed or velocity, with respect to time is, acceleration, e.g. ft/sec²
- The First Derivative of [scalar] acceleration, with respect to time is,
pump (
*not jerk **), e.g. ft/sec³

The First Derivative of [vector] acceleration, with respect to time is, swing (*not jerk **) - The First Derivative of pump or swing, with respect to time is,
jerk (
** not snap*), e.g. ft/sec^{4} - The First Derivative of jerk, with respect to time is, snap,
e.g. ft/sec
^{5}(*order-higher-than 'jerk' **) - * (
*There is no jerk in smoothly changing the acceleration-aka-force vector, without sharply changing rate, focus, radius; cf circular-swing acceleration in spacetime-physics is deemed indistinguishable from artificial-gravity; cf pumping, swinging, bouncing, springing, tipping, change acceleration smoothly continuously; cf a hanging swing is pumped not jerked, to increase its profile derivatives, acceleration, speed, height, while swinging, itself, is felt and adapted-to, unnoticed aside gimbaled amusements; cf pumping brakes is equalizable by pumping back, not by 'excess' jerking except a cushion softens it, or by leaning back partaking more of the force of gravity, but, leaning is not instantaneous, ergo cannot be jerk... Jerk is a quickened derivative of pump by discontinuous/directional 'play'... cf 'mad' rollercoasters turn by strictly-circular arcs changing sideways acceleration instantaneously 'jerking' by radial-focus-discontinuity... Jerk is or-results-in abrupt-change of position, cf the Olympic Jerk is the abbreviated-pump emphasizing its derivative because slow-pumping wastes bioenergy... Cf similar technical terms such as 'squeeze-don't-jerk-the-trigger' meaning gradually increasing acceleration-like-pressure-force 'til its-own trigger-event... but also consider 'play and wobble' before 'jerk'*) - n.b. Jolt, is generally equated to jerk, though suggestive of harder and higher order
- n.b. Jounce, is a jolt-bounce returning to its original-projected position and velocity
- n.b. Throw, may be any of the five, scalar or vector
- n.b. Heave, implies, massive, cf broadly-obviously mountain heavens, cosmic heavens

- The First Derivative of [scalar] distance, with respect to time is, speed, e.g. ft/sec
- Exponent placement-compounding symbolically increases involvement by deeper-application:
(
*left*) afore, upon, above, over, behind (*right*): where the deeper are more involved functionally-internally/argumentive-to rather than externally-usage-of: - Exponent, of a term, placed upon, upper-fore of its root term [rather than as
formerly over], as exponentiation is conceptually the iteration-extension above
multiplication,- even as multiplication is the iteration-extension of addition
- e.g.
^{2}3 = 9 '*square of 3*' - e.g.
^{3}2 = 8 '*cube of 2*' - e.g.
^{4}3 = 81 '*fourth power of 3*' - e.g.
^{-1}3 = 1/3 '*inverse or negative power of 3*' - e.g.
^{-1}sin = 1/sin - e.g.
^{2}f x =^{2}(f x) = (f x)·(f x) = (f·f) x = (^{2}f) x - e.g.
^{2}log x =^{2}(log x)

- e.g.
- Exponent placement over, upper-aft its root operation, is the functional composition
repetition-iteration notation (
*consistent with the traditional arc-function, inverse function, operator algebras*)- e.g. sin
^{-1}= arcsin (*already common usage*) - e.g. f
^{2}x = (f f) x = f f x = f(f x) - e.g. log
^{2}x = log log x = llog x - e.g. f
^{-1}(f x) = f^{-1}f x = (f^{-1}f) x = (1_{f}) x = x (*in the domain of f; where f is 1-1*) - n.b. x
^{2}= (x x) = x x = x(x) = x·x =^{2}x : Strictly nonfunction numeric variables and constants are the same either way

- e.g. sin
- Functions may have multiple, parameter-arguments, if so defined,--
- e.g. f x y = f(x,y), is a two-argument function; generally ≠ (f x) y , unless—
- n.b. (f x) y = f
_{x}y , is a progressive-parameterization-application function, taking y as a subsequent separable, argument

- Gut arithmetic [aka matrix arithmetic but little new comes of vector sums of products: whence a gut process]
- Identity Operator, 1
_{i=j}= 1 for i=j else = 0 for i≠j (*assumed multiplicative null, empty, undefined*); [cf δ_{ij}]- cf Logic Operator, (i=j) = true for i=j else = false for i≠j
- e.g. Identity Matrix, [1
_{i=j}] = [_{0}^{1}⋱_{1}^{0}]

- Infinitesmal, ∂ "par, partial", a standalone numeric value-holder
- Derivative, δ "slope-of-, del-, deal-of-";
δ
_{x}y = (∂/∂x) y "... over x, or with respect to x, of y"

n.b. ∂_{i}= ∂ξ_{i}, generalizes dimensionality, e.g. ∇ = i(δ_{i}) + j(δ_{j}) + ... [rather than prior assumed scalar:vector, x:i, y:j,...] - Integration interval, ∫
_{[x,y]}closed, ∫_{(x,y)}open; or, ∫_{[x+,y-]}open, ∫_{x<ξ<y}∂ξ open, etc. - Logarithm, £ x = ln x = log
_{e}x '*natural log; ponent*'

cf The entropy of p , 0 < p < 1, is -p £ p (*in natural base; binary base is more usual*) - Left-Multiplication is a property of addition, not an operation (
*no more so than parentheses or exponentiation*). Addition may be any additive process: Multiplication is the iterative extension property thereof;- which is to say, a process is multiplicative only if it includes natural-number multiplication, e.g. matrix A*B , is multiplication only if, n*B already is and = n_{i=j}*B = [_{0}^{n}⋱_{n}^{0}]*BMultiplication always includes specifically intrinsic Left Multiplication, which has special necessary properties and is specifically denoted; Other-multiplicative process is distinguished as a, "product", if it does not include the intrinsic: To say, * , is the multiplicative operator on a ring, means, * , includes n*x : {n} = N

_{+}in the ring set;- And whence, y*x , imputes, y , may be any natural number: and therefor the ring set includes the set of all natural numbers (*The ring set need not entirely separate them: cf modulo*).... Thus, another-multiplicative process, X, existing on a ring, If , X , does not include intrinsic multiplication, makes for two actual operations, and three operation symbols, +,*,X , on that ring. - Natural distribution, e
^{-π x²/s²}/s , semidiameter s , var. s²/2π , identified by its 'knee/ankle' angular joints and inflections - Arithmetic precedence: 'over' is positional formatting, 'divide' is arithmetic operation
- x/y+z "x over y plus z" is global = x/(y+z) ; cf x÷y+z "x divided by y plus z" is local
- a/bc "a over b c" adjacency precedence = a/(bc) = a/b(c) =
- a/b(c) functionlike precedence = a/(b(c)) e.g. a/2c = a/(2c) = a/2(c) = a/(2(c))
- Set notation specification, e.g. {i}, is simpler, or, more inclusive:
- e.g. {i≤5} or {i:≤5} is the "set of i [
*that are*] less than or equal 5" - e.g. {i: i; i(+,-); i≤5} is the "set of i where i exists, i is closed on addition and subtraction, i is less than or equal 5"
- Note that i(+,-) is like the computer-logic denotation-as-needed of numeric value or logical "is-defined" value

- e.g. {i≤5} or {i:≤5} is the "set of i [
- Teams of Operators [formerly groups of elements, but compounded elements are non-elemental; cf nuclear fusion is not addition creating new elements; cf sets have non operational elementals]
- Vector correlation, * , the sum of corresponding products; [formerly "dot product"]; the complex conjugate self-product (a)(a')
- Virtual, the imaginary dimensions of the octonion beyond quaternion; L,I,J,K or I,J,K,L
- Virtual, generally means the venue of 8-complexors
- Generally, the virtual, is the non real portion, including the imaginary
- Specifically, the virtual, is that we've appended to the real and imaginary
- 'Specifically virtual', requires three or more vectors more-complex-than, or non,-quaternion

- (
*We're converting from "half-life" 1/2-remains to "natural-life" 1/e-remains, as equals its average for inverse-exponential*) - We do arithmetic-checking-by-9's-and-11's ... There is no
radix-2-arithmetic-checking-by-1's: we check-by-3's (
*binary-11's*) - We use now-standard-html special symbol-letters, √, ≈, ≤, ≠, ≡, →, ⇒, ⇔, ∂, δ, γ μ, π, Δ, Π, Σ, ∫, ∞, ∀, ∃, ∪, ∩, ⊂, ⊆, ∈, etc.
- (
*We use should-be-standard-and-or-better-implemented special-symbols, e.g. r˙, r¨*)

- Units have long been shy of meaning, For example, Torque and Work are both in units of
force×distance but Torque is perpendicular distance and static expressing a cross-product,
while Work is parallel and moving expressing a dot-product... 'perpendicularity' and 'parallelity'
and as well multiplication and division thereof are as necessary as Length and Angle... And for
second example, Radian measure (
*Metric*), is deemed a 'unitless' angle, arc length/radius, but is in-fact 2π^{R}/circle... - In some articles, especially the extras, sci-fi screenplays, we use Metric Time, hesit, demur

- Aether, cosmic aether, we discuss as a real (
*coeternal*) infinite-time-integrated infinite-space-defining infinitely-dense manifestation (tbd) of mathematical complexor development, not frame-relativistic "measure-space-time"; "open cosmos" - Atomic power, commonly misnomered, refers to energy stored in electron orbitals below electrochemical and electroplasma "degenerate electrochemistry" trans-ficial orbitals, e.g. a H-1s electron boosted 6.3 eV to 2s , where maintained by rf-laser coupling the groundstate electron-spin potentials, it holds 69K°K till released; We discuss transition to p-e-p nuclear fusion
- Mass-hole (
*better-phrase*), is a gravitational singularity, mass compressed beneath its nucleon (*and quark*) roche-threshold, to wave-entropical radius (tbd); a "black hole" not necessarily black; We discuss aether-noodle-fragmentation renormalization - Nuclear, refers to atomic nuclear; energy, states, structure, bonds, chemistry,
fission, fusion, inner bound electrons, protons, neutrons, deuterons, helons
(
*alphas*), ...; We discuss doubly-charged protons p^{++}and negatively-charged neutrons n^{-} - PE state, atomic-electron suborbital proton-electron state, cold-degeneracy to absolute-cold; an intension of the atomic model
- Relativity, is with-respect-to-the-speed-of-light 'limit', but we also discuss the correction-and-disproof of commonly mistaken notions, 'equivalence-principle'
- Subatomic, refers to β-exchange between a nucleus and a low-state or groundstate electron orbital, as in the Ho-Dy-163 co-version experiment; electrons, protons, neutrons, and related nuclear-size particles, nuclear fragments; We discuss antihelon stability "sitting" outside the closed 1s-orbital shell; see also Supranuclear
- Subnuclear, refers to nucleons, energy, interchanges; We discuss aether wavicles, "neutrino chop"
- Supraneutronium, (
*ferroneutronium is the most stable*), refers to sub-absolute-zero-cold maximum atomic-density mass, cold-electron-degeneracy, not neutron star density but stable nuclear tendencies; not-yet-known to occur naturally but expectably - Supranuclear, refers to electrons "sitting" just outside the nucleus, adsorption below groundstate without absorption-fusion
- TEMPEST, (
*military*) acronym for various spurious-electronic-signal-emission suppression technologies, techniques, contractual requirements and standards, for operation under occasional (*thermo*)nuclear-detonation duress, developed in the 1950's-70's;

Some common interpretations:- Thermonuclear Electro-Magnetic-Pulse Exception Suppression Technologies, meaning it
didn't quit under nuclear assault ... cf reinforced concrete radio horns, fluted ferrite
beads (
*nonsaturating*) and spark gaps hung on every electric path, wire, sewer line ... above and beyond good electrical grounding and shielding techniques every engineer must use... - Thermo-Electronic-Magnetic-Pulse Emanation-Suppression Technologies, meaning EMP is
not an electromagnetic radiowave but a ripping-hot electron-cascade avalanche pulse
(
*zone-ionization*) borne in an expanding magnetic field that couples and suppresses photonic emanation energy-loss,- thus keeping the pulse hot... (*and affects chemistry*) - Crypto-TEMPEST, was Transient Electro-Magnetic-Pulse Emission-Suppression Techniques, "Single-Point-Failure-Safe" electronic-ware design, preventing misdirection of messages in and after an EMP event not destroying a Crypto device...
- TEMPEST Crypto, we do not discuss here, refers to Crypto [secret] messages during or pertaining-to nuclear warfare...

- Thermonuclear Electro-Magnetic-Pulse Exception Suppression Technologies, meaning it
didn't quit under nuclear assault ... cf reinforced concrete radio horns, fluted ferrite
beads (
- Tuple, (
*mathematics*) terminology: a doublet, a 2-vector, e.g. a complex number; a single-element consisting of a pair of terms ... Note that we use the term consistently: N-tuples here are N-pair elements [formerly N-part elements we here call, "N-uples"] - -Uple, (
*mathematics*) suffix to a [natural whole] number, meaning the part-count consistency of-or-defining an objectified unit

'Majestic Service in a Solar System'

Nuclear Emergency Management