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Longer titles found: Modulus (algebraic number theory) (view), Modulus (gastropod) (view), Modulus Guitars (view), Modulus ambiguus (view), Modulus and characteristic of convexity (view), Modulus bayeri (view), Modulus guernei (view), Modulus modulus (view), Modulus nodosus (view), Modulus of continuity (view), Modulus of convergence (view), Modulus of smoothness (view), Modulus robot (view), Modulus turbinoides (view), Young's modulus (view), Bulk modulus (view), Shear modulus (view), Elastic modulus (view), Distance modulus (view), Flexural modulus (view), Maximum modulus principle (view), Dynamic modulus (view), Section modulus (view), P-wave modulus (view), Specific modulus (view), Wavelet transform modulus maxima method (view), Complex modulus (view), Lévy's modulus of continuity theorem (view), Weibull modulus (view), Trochomodulus carchedonius (view), Aggregate modulus (view), Thiele modulus (view), Indomodulus tectum (view), Trochomodulus calusa (view), Fineness modulus (view), Dual-modulus prescaler (view), Bearing modulus (view)

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alternate case: modulus

Absolute value (3,500 words) [view diff] exact match in snippet view article find links to article

In mathematics, the absolute value or modulus of a real number x {\displaystyle x} , denoted | x | {\displaystyle |x|} , is the non-negative value of

where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich

division, after one number is divided by another, the latter being called the modulus of the operation. Given two positive numbers a and n, a modulo n (often

absolute value of a complex number is called its absolute square, squared modulus, or squared magnitude.[better source needed] It is the product of the complex

3 + 8 + 3 + 0) = 45 Take the 10s modulus of the sum: 45 mod 10 = 5 Subtract from 10: 10 − 5 = 5 Take the 10s modulus of the result (this final step is

Luhn formula (creator: IBM scientist Hans Peter Luhn), also known as the "modulus 10" or "mod 10" algorithm, is a simple check digit formula used to validate

introducing coordinates on the resulting space. In this context, the term "modulus" is used synonymously with "parameter"; moduli spaces were first understood

Modular exponentiation is exponentiation performed over a modulus. It is useful in computer science, especially in the field of public-key cryptography

modulo any power of p if and only if it is a residue modulo p. If the modulus is pn, then pka is a residue modulo pn if k ≥ n is a nonresidue modulo

properties of the elements (data page) — Young's modulus, Poisson ratio, bulk modulus, shear modulus Electrical resistivities of the elements (data page)

divided by two times the Young's modulus of elasticity. That is, Modulus of resilience = ⁠Yield stress2/2 (Young's modulus)⁠ The toughness of a material

The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot

|x_{m}-x_{n}|<1/k.} Any sequence with a modulus of Cauchy convergence is a Cauchy sequence. The existence of a modulus for a Cauchy sequence follows from the

of pseudo-random values, and m , 0 < m {\displaystyle m,\,0<m} — the "modulus" a , 0 < a < m {\displaystyle a,\,0<a<m} — the "multiplier" c , 0 ≤ c <

{\displaystyle \Delta } from the group to the positive reals, called the Haar modulus, modular function or modular character, such that for every Borel set S

similar abuse of language refers to the modulus as a norm. A split-complex number is invertible if and only if its modulus is nonzero ( ‖ z ‖ ≠ 0 {\displaystyle

numbers can be expressed more easily in polar coordinates: the magnitude or modulus of the product is the product of the two absolute values, or moduli, and

counters are categorized in various ways, including by attributes such as modulus and output encoding, and by supplemental capabilities such as data preloading

Young's modulus is temperature dependent, and has been reported in the [0001] direction as 435 GPa at 323 K and 386 GPa at 1,273 K. The shear modulus of corundum

been manufactured and distributed widely with a modulus of 141.5 instead of the Baumé scale modulus of 140. The scale was so firmly established that

the aggregate modulus of cartilage, which is typically in the range of 0.5 to 0.9 MPa for articular cartilage, and the Young’s Modulus, which is typically

by the use of the tangent modulus of elasticity, Et, which is less than the elastic modulus, in place of the elastic modulus of elasticity. The tangent

In mathematics, the term modulo ("with respect to a modulus of", the Latin ablative of modulus which itself means "a small measure") is often used to assert

quadratic imaginary field K then we write j(a) for the corresponding singular modulus. The values j(a) are then real algebraic integers, and generate the Hilbert

Code 39 (also known as Alpha39, Code 3 of 9, Code 3/9, Type 39, USS Code 39, or USD-3) is a variable length, discrete barcode symbology defined in ISO/IEC

matrix H {\displaystyle H} satisfying two conditions: unimodularity (the modulus of each entry is unity): | H j k | = 1  for  j , k = 1 , 2 , … , N {\displaystyle

= Length of the beam between two supports (span) E {\displaystyle E} = Modulus of elasticity I {\displaystyle I} = Area moment of inertia The maximum

strength of the material and are not a true representation of the resilient modulus.[citation needed] The CBR is the ratio of the bearing load that penetrates

In quantum field theory, the term moduli (sg.: modulus; more properly moduli fields) is sometimes used to refer to scalar fields whose potential energy

{\displaystyle m'=s^{-1}*(h+xr)} mod q {\displaystyle q} In this example, an RSA modulus purporting to be of the form n = pq is actually of the form n = pqr, for

wavelengths, can be used to determine the mechanical modulus of film materials. The elastic modulus significantly impacts the applications of organic semiconductors;

16th-century English, and derived via French and Italian ultimately from Latin modulus, 'a measure'. Models can be divided into physical models (e.g. a ship model

N-Strike Modulus is a subseries of the N-Strike Elite series with an emphasis on user customization through attachments and accessories. Many Modulus blasters

In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers

functions: DOA estimation, beamforming, interference nulling, and constant modulus preservation. The smart antenna system estimates the direction of arrival

measure can be used to estimate the modulus of an analytic function inside a domain D given bounds on the modulus on the boundary of the domain; a special

can be shown directly, or by using the multiplicative property of the modulus of complex numbers. The units of the ring of Gaussian integers (that is

states that the integral of a function's squared modulus is equal to the integral of the squared modulus of its frequency spectrum. That is, if f ( x )

In mathematics, cardinality is an intrinsic property of sets, roughly meaning the number of individual objects they contain, which may be infinite. The

integer x such that the product ax is congruent to 1 with respect to the modulus m. In the standard notation of modular arithmetic this congruence is written

around 10 millimetres (3⁄8 in) for flooring or roof applications. High-modulus asphalt concrete, sometimes referred to by the French-language acronym

X k mod m , {\displaystyle X_{k+1}=a\cdot X_{k}{\bmod {m}},} where the modulus m is a prime number or a power of a prime number, the multiplier a is an

temperature change Dynamic mechanical analysis: measures storage modulus (stiffness) and loss modulus (damping) versus temperature, time and frequency Evolved

The elastic modulus of the implant is decreased, allowing the implant to better match the elastic modulus of the bone. The elastic modulus of cortical

is the polynomial degree bound, p is called the small modulus, and q is called the large modulus; it is assumed that N is prime, q is always (much) larger

would be 8 bits, although this is not required. Similarly, a convenient modulus would be 255, although, again, others could be chosen. So, the simple checksum

number of rounds. In addition to the key, it also makes use of an odd modulus n which is small enough to fit in a single block. The round function is

curve cryptography: curve p-192 uses modulus 2 192 − 2 64 − 1 {\displaystyle 2^{192}-2^{64}-1} curve p-224 uses modulus 2 224 − 2 96 + 1 {\displaystyle 2^{224}-2^{96}+1}

therefore a stronger interaction with dislocations. Modulus hardening results from the different shear modulus of the precipitate and the matrix, which leads

expressing one argument: α, the modular angle k = sin α, the elliptic modulus or eccentricity m = k2 = sin2 α, the parameter Each of the above three

modulus greater than 1) whose moduli are odd, does not exist. It is known that if such a system exists with square-free moduli, the overall modulus must

an inequality relating the maximum modulus of a complex polynomial function on the unit disk with the maximum modulus of its derivative on the unit disk

private exponent d, one can efficiently factor the modulus n = pq. And given factorization of the modulus n = pq, one can obtain any private key (d', n) generated

made with insulated metal wires, made from inert metals with high Young modulus such as tungsten, stainless steel, or platinum-iridium alloy and coated

PMMA, however it produces less heat during polymerization, has a lower modulus of elasticity and has an overall softer texture. It may be vulcanized using

number used for describing the behaviour of systems. The square of the modulus of this quantity at a point in space represents a probability density at

Properties Metric Tensile strength 230 MPa Yield strength 125 MPa Elongation at break 25% Elastic modulus 69 GPa Shear modulus 26 GPa Poisson's ratio 0.33

UHMW) is a subset of the thermoplastic polyethylene. Also known as high-modulus polyethylene (HMPE), it has extremely long chains, with a molecular mass

\chi :\mathbb {Z} \rightarrow \mathbb {C} } is a Dirichlet character of modulus m {\displaystyle m} (where m {\displaystyle m} is a positive integer) if

for some positive real r (see Euler's formula). The quantity r is the modulus (or absolute value) of z, denoted |z|: r = x 2 + y 2 . {\displaystyle r={\sqrt

the only fixed points of conjugation. Conjugation does not change the modulus of a complex number: | z ¯ | = | z | . {\displaystyle \left|{\overline

Hence the Modulus of the Trigonometric Canon will be 57.2957795130 &c. Whose Reciprocal is 0.0174532925 &c. With the help of this modulus (which I found

Density 2.78 g/cm3 Youngs modulus 69 GPa Elongation at Break 9.0 % to 9.1 % Fatigue Strength 150 to 190 MPa Shear Modulus 26 GPa Shear Strength 250 to

any number x {\displaystyle x} is usually called its absolute value or modulus, denoted by | x | {\displaystyle |x|} . The absolute value of a real number

square root of a very smooth number modulo n. The other one uses a prime modulus p (with no trapdoor), and its security proof relies on the hardness of

the Resilient Modulus of Bituminous Mixtures by Indirect Tension AASHTO TP62: Standard Method of Test for Determining Dynamic Modulus of Hot-Mix Asphalt

}{\lambda -1}},1-\lambda }\right\rbrace \ .} It is the square of the elliptic modulus, that is, λ ( τ ) = k 2 ( τ ) {\displaystyle \lambda (\tau )=k^{2}(\tau

conformal modulus of Γ {\displaystyle \Gamma } , the reciprocal of the extremal length. The fact that extremal length and conformal modulus are conformal

mechanically, if the supersymmetry remains unbroken, exact equality to the modulus of Z exists. Their importance arises as the supermultiplets shorten for

uses, MSK encodes each bit as a half sinusoid. This results in a constant-modulus signal (constant envelope signal), which reduces problems caused by non-linear

Physical Properties Value Density 2.81 g/cm3 Melting Point 475 °C Modulus of Elasticity 71 GPa Thermal Conductivity 150 W/m.K

difference-map reconstruction of grayscale image from Fourier transform modulus.png|thumb|right|Iterations 0, 100, 200, 300 and 400 in the difference-map

that give rock mass modulus as a function of intact modulus and a rock mass rating. These equations may give a good estimate of modulus given the correct

digits. The control digit is calculated as the modulus 10 of 10 minus the modulus 10 of the sum of the modulus 10 of the product of the first 17 digits by

time-temperature superposition. Impact resistance decreases with an increase in the modulus of elasticity, which means that stiffer materials will have less impact

forms are available: "polynosics" and "high wet modulus" (HWM).[better source needed] High-wet-modulus rayon is a modified version of viscose that is stronger

17–21 MPa (2,500–3,000 psi) strength range. The modulus of elasticity of concrete is a function of the modulus of elasticity of the aggregates and the cement

modulo n s + 1 {\displaystyle n^{s+1}} where n {\displaystyle n} is an RSA modulus and s {\displaystyle s} a (positive) natural number. Paillier's scheme

8 g/cm3 (0.094–0.101 lb/cu in) Melting point 546 °C (1,015 °F) Elastic modulus 70–80 GPa (10,000–12,000 ksi) Poisson's ratio 0.33 Thermal conductivity

pattern (named for Friedrich Thon) appearing in the Fourier transform modulus of an image of a thin amorphous film. The contrast of a high resolution

with any modulus. Using the same N = 2345678917 {\displaystyle N=2345678917} , One generally chooses a power of a different prime for each modulus. Given

TFRs are often complex-valued fields over time and frequency, where the modulus of the field represents either amplitude or "energy density" (the concentration

operator. Because the eigenvalues of a unitary operator always have unit modulus, they are characterized by their phase, and therefore the algorithm can

Phragmén–Lindelöf theorem, which is itself an extension of the maximum-modulus theorem. Carlson's theorem is typically invoked to defend the uniqueness

influenced by this amorphous grain boundary phase. For example, the elastic modulus has been shown to decrease by 30% for nanocrystalline metals and more than

efficient method known to solve the RSA problem is by first factoring the modulus N, a task believed to be impractical if N is sufficiently large (see integer

This is done by deriving the complex modulus (G*) from the storage modulus (elastic response, G') and loss modulus (viscous behaviour, G") yielding G*

to choose the public exponent e (for e ≥ 3). More specifically, given a modulus N of unknown factorization, and a ciphertext C, it is infeasible to find

influence of the material is represented separately by the material's modulus of elasticity E {\displaystyle E} . Structural engineers generally consider

influence of the material is represented separately by the material's modulus of elasticity E {\displaystyle E} . Structural engineers generally consider

algebraic closure of K) and the generalized ideal class groups defined via a modulus of K. It is called an existence theorem because a main burden of the proof

arithmetic progression with modulus 9. In an arithmetic progression, all the numbers have the same remainder when divided by the modulus; in this example, the

and sinus of the complement to the quadrant XE; taking the radius CE as modulus, the arc will be the measure of the ratio between E X + X C − 1 {\displaystyle

Mellin transform). Assume χ is a non-principal Dirichlet character to the modulus N. The sum taken over all residue classes mod N is then zero. This means

electrical bonds (without dislocation motion) continues to occur, and the modulus of elasticity is unchanged. Eventually the stress is great enough to overcome

use of titanium alloys as biomaterials is occurring due to their lower modulus, superior biocompatibility and enhanced corrosion resistance when compared

The reason for choosing these particular values for the multiplier and modulus had been that with a 32-bit-integer word size, the arithmetic of mod 231

logarithm, and the "modulus" is a conversion factor that transforms a measure of angle into circular arc length (here, the modulus is the radius (CE) of

implementation of a prime modulus p {\displaystyle p} much larger than the machine word size. Normal Lehmer generator implementations choose a modulus close to the

k'^2)^2 in powers of q where k is the Jacobian elliptic modulus, k' the complementary modulus and q is the nome.)". The On-Line Encyclopedia of Integer

Elinvar is a nickel–iron–chromium alloy notable for having a modulus of elasticity which does not change much with temperature changes. The name is a

people suggest that in the key generation process in RSA cryptosystems, the modulus n should be chosen as the product of two strong primes. This makes the

accuracy and precision. The load displacement data can be used to determine modulus of elasticity, hardness, yield strength, fracture toughness, scratch hardness

300 200-500 200-300 80-250 20-150 Tensile modulus D638 MPa 600 500 700 1500 1655 1500 2400 Tensile modulus D638 ksi 87 72.5 101.5 217.5 240 218 348 Hardness

erhvervsstyrelsen.dk (in Danish). Archived from the original on 16 September 2012. "Modulus 11 kontrol". erhvervsstyrelsen.dk (in Danish). Archived from the original

based on it, such as exponentiation) to be performed efficiently when the modulus is large (typically several hundred bits). This has particular application

Indiana Trine University (formerly Tri-State) Modulus (called Integral in 1922 and 1924) 1922–1988 Trine Modulus yearbooks Iowa Drake University Quax 1902–1994

small, irregularly round". Calculated from Galactocentric GSR Distance modulus "NGC 5500". SIMBAD. Archived from the original on 4 November 2022. Retrieved

exclusive disjunction (XOR) operation. This operation is sometimes called modulus 2 addition (or subtraction, which is identical). With this logic, a string

is the Dirichlet L-series of the non-principal Dirichlet character of modulus 4 evaluated at s = 1 , {\displaystyle s=1,} and therefore the value β(1)

resolved, some stars seen". Calculated from Galactocentric GSR Distance modulus "NGC 5501". SIMBAD. Archived from the original on 15 August 2020. Retrieved

integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption. In other words, it takes no more time to break

instrument. With his primary band, Widespread Panic, he plays a six-string Modulus Quantum 6 bass that affords him a wide range of sounds that are further

bending, θ {\displaystyle \theta } is the bend angle, E is the Young's Modulus of the string material, A is the string cross sectional area and μ o {\displaystyle

properties. Both values of hardness and related moduli like reduced modulus (Er) or elastic modulus (E) will significantly increase through the magnetron sputtering

into actual probabilities. In one common form, it says that the squared modulus of a wave function that depends upon position is the probability density

n-component vector) is multiplied by an invertible n × n matrix, against modulus 26. To decrypt the message, each block is multiplied by the inverse of

applications. S-glass ("S" for "Strength") is used when high tensile strength (modulus) is important, and is thus important in composites for building and aircraft

specific shard (a.k.a. partition). There are different sharding strategies: Modulus sharding Range-based sharding Consistent hashing evenly distributes cache

just snapping under the tension, and it is lightweight. It has a tensile modulus of 3,103 MPa. This means that it resists stretching, making it a stiff

< ⁠1/3⁠. Estimating the values F and G from below shows, how large (in modulus) values ζ(s) can take on short intervals of the critical line or in small

PSI) Young's modulus 6.136 MPa (890 PSI) Ultimate elongation 600% Hardness (Durometer) 30–95 Glass transition temperature -43°C Storage modulus (measured

the Annual Cryptology Conference "Fully homomorphic encryption without modulus switching from classical GapSVP". This paper formed the basis of the BFV

E=\int _{0}^{L}B\kappa ^{2}(s)ds} where B {\displaystyle B} is the bending modulus E I {\displaystyle EI} . Moreover, as κ ( s ) = d θ / d s {\displaystyle

here is that when the vi are relatively prime and much smaller than the modulus p this problem can be solved easily. It is this observation which allows

opposite compression at the bottom, thus deriving a correct elastic section modulus of the cross sectional area times the section depth divided by six. Parent's

Pocklington divided forms of p. All ≡ {\displaystyle \equiv } are taken with the modulus in the example. x 2 ≡ 43 ( mod 47 ) . {\displaystyle x^{2}\equiv 43{\pmod

Physical properties are those of the individual material groups, such as the modulus of elasticity, thermal conductivity, thermal expansion, and work hardening

mod n ) {\displaystyle g^{x}\equiv h{\pmod {n}}} , where g, h, and the modulus n are given. The algorithm (described in detail below) applies to the group

between NGC 5502 and NGC 5503. Calculated from Galactocentric GSR Distance modulus "NGC 5502". SIMBAD. Archived from the original on 29 November 2022. Retrieved

itself, because the half periods can be given in terms of the elliptic modulus or in terms of the nome. See the pages on quarter period and elliptic integrals

The MonoWave is a monophonic 2U 19" rack synthesizer by Modulus Electronics, UK. This synth was first shown in 2001 by its inventor Paula Maddox on a

Herschel observing at 157x." Calculated from Galactocentric GSR Distance modulus "NGC 5641". SIMBAD. Archived from the original on 28 September 2022. Retrieved

numbers can be expressed most easily in polar coordinates — the magnitude or modulus of the product is the product of the two absolute values, or moduli, and

calculated using a weighted addition of all the numbers and modulus calculation (known as Modulus 23). It therefore checks for incorrectly entered digits

set. For example, if the substring is "hi", the base is 256, and prime modulus is 101, then the hash value would be [(104 × 256 ) % 101 + 105] % 101 =

the message x {\displaystyle x} . Unpadded RSA If the RSA public key has modulus n {\displaystyle n} and encryption exponent e {\displaystyle e} , then

to the loads it is placed under. It is possible to mention the elastic modulus of magnesium (41–45 GPa) compared to titanium (110–127 GPa), stainless

software Space Combat. Laminar also produced a Mecha simulator titled Young's Modulus. In October 2012, Laminar Research announced that they were being sued

characterized by unusually high-strength fibres with unusually high stiffness, or modulus of elasticity characteristics, compared to other materials, while bound

AutoCorrelation waveform (CAZAC) is a periodic complex-valued signal with modulus one and out-of-phase periodic (cyclic) autocorrelations equal to zero.

to a power of the logarithm of the modulus" and contrasted this with one that took time proportional "to the modulus itself or its square root", thus explicitly

Tensile modulus ASTM D 638 GPa, average value 3.97 Tensile elongation ASTM D 638 % 3.15 Flexural strength ASTM D 790 MPa 133 Flexural modulus ASTM D 638

Piñeiro, Alberto; Pardo, Victor; et al. (2009-10-25). "Reduction of the bulk modulus at high pressure in CrN". Nature Materials. 8 (12). Springer Science and

Properties Metric Density 2.6-2.8 g/cm3 Elastic modulus 70-80 GPa Poisson's ratio 0.33 Thermal conductivity 227 W/mK

Properties Metric Density 2.6 - 2.8 g/cm3 Shear strength 62 MPa Elastic modulus 70-80 GPa Poisson's ratio 0.33 Thermal conductivity 227 W/mK Ultimate Tensile

The piezoelectric coefficient or piezoelectric modulus, usually written d33, quantifies the volume change when a piezoelectric material is subject to

{1}{R(q)}}+R(q){\biggr ]}} In combination with the elliptic modulus, the following formulas can be displayed: These are the formulas for the

Properties Metric Tensile strength 290 MPa Yield strength 170 MPa Elastic modulus 69 GPa Poisson's ratio 0.33 Elongation at break 24%

Property Value Young's modulus 69 GPa Elongation at break 5.1% Fatigue strength 49 MPa U.T.S. 130 MPa Yield strength 100 MPa Latent Heat of Fusion 400

Landen daughter modulus: The Landen daughter modulus is also the tangential counterpart of the Pythagorean counterpart of the mother modulus. The Landen daughter

stride forward using classic technique. Modern plastic materials (e.g. high-modulus polyethylene and Teflon), used on ski bases, have excellent gliding properties

Property Value Density 2.7 gm/cc U.T.S. 280 to 420 MPa Yield strength 130 to 360 MPa Fatigue strength 100 to 130 MPa Young's modulus 68 GPa

concentration can decrease the shear modulus, increase the bulk modulus, decrease the stiffness (elastic modulus), and shift the material from the brittle

fractions make sense, provided that the denominators are coprime to the modulus.) For example, with p = 7, the first of these says that the numerator of

the characteristic equation lie inside the unit circle—that is, have a modulus (absolute value) less than one—then the first difference of the process

cosine components (phases), complex cells are modeled by computing the modulus of complex Gabor responses. Both simple and complex cells are linear operators

Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p, with p congruent to 1 modulo 3. They are named after Ernst Kummer, who

\operatorname {E} (k)} is the complete elliptic integral of the second kind with modulus k {\displaystyle k} , M {\displaystyle \operatorname {M} } is the arithmetic–geometric

maps), this corresponds to a fixed point having a Floquet multiplier with modulus equal to one. In both cases, the equilibrium is non-hyperbolic at the bifurcation

collisions with other galaxies. Calculated from Galactocentric GSR Distance modulus "NGC 5523". SIMBAD. Archived from the original on 22 July 2020. Retrieved

Legendre's elliptic modulus and its complete elliptic integrals of the first kind in the K and K' form. The Legendre's elliptic modulus is the numerical

Properties Values Tensile strength ≥ 392 MPa Yield strength ≥ 379 MPa Elongation at break ≥ 5% Young's Modulus 69 GPa Fatigue Strength 98 to 140 MPa

Tensile strength (annealed) 179 MPa Yield strength (annealed) 69 MPa Elongation (annealed) 22% Elastic modulus 72 GPa Shear strength (annealed) 124 MPa

Properties Metric Density 2.78 g/cm3 Young's Modulus 69 MPa Elongation at Break 7.8% Fatigue Strength 160 MPa Poisson's Ratio 0.33 Ultimate Tensile Strength

using a relaxation function or in the frequency domain through a complex modulus, making it adaptable for use in experimental and computational analyses

table below, Nylon 11 has lower values of density, flexural and Young's modulus, water absorption, as well as melting and glass transition temperatures

roots of the characteristic polynomial ρ all have modulus less than or equal to 1 and the roots of modulus 1 are of multiplicity 1, we say that the root condition

a message using a function whose image size equals the size of the RSA modulus, and then raising the result to the secret RSA exponent. In the random

available for integers: addition, subtraction, multiplication, division and modulus for strings: match a regular expression; in some versions: find a set of

accidents and occupational hazards. Metallic materials, Para aramid, high-modulus polyethylene materials and high density structure materials are used in

this mechanical properties such as Young modulus, yield strain, and flexural strength. With a Youngs modulus of almost 1 TPa, graphene boasts incredible

Ultimate 83.0 MPa Tensile Strength, Yield 28.0 MPa Elongation at Break 28 % Modulus of Elasticity 68.9 GPa Electrical Resistivity 0.00000280 ohm-cm Thermal

Properties Values Tensile strength 550 MPa Yield strength 520 MPa Elongation at break 6% Poisson's ratio 0.34 Elastic modulus 76 GPa

measure of ESCR. This slope is called the strain hardening modulus (Gp). The strain hardening modulus is calculated over the entire strain hardening region

2-adic numbers. They also obtained a similar result for any odd prime modulus p {\displaystyle p} . Karatsuba developed (1993—1999) a new method of estimating

with small and fast code, and small state size. LCGs with a power-of-2 modulus are simple, efficient, and have uniformly distributed binary outputs, but

the estimation of the rock mass strength and the rock mass deformation modulus. The GSI system concentrates on the description of two factors, rock structure

non-negative real number. This allows to define the absolute value (or modulus or magnitude) of z to be the square root | z | = x 2 + y 2 . {\displaystyle

(MEMS) used to measure the mechanical properties (such as the Young’s modulus and fracture strength) of nanoscale specimens such as nanowires, nanorods

maintain a local TSF timer. Each mobile host maintains a TSF timer with modulus 2 64 {\displaystyle 2^{64}} counting in increments of microseconds. The

Properties Metric Density 2.82 g/cm3 Melting point 482 °C Elastic modulus 70-80 GPa Poisson's ratio 0.33 Thermal expansion 23.4 (10-6/°C) Ultimate Tensile

the Diffie Hellman key exchange, when the modulus is a prime number that is not too large. If the modulus is not prime, the Pohlig–Hellman algorithm

diverges and that different such arithmetic progressions with the same modulus have approximately the same proportions of primes. Equivalently, the primes

Properties Metric Density 2.6-2.8 g/cm3 Elastic modulus 70-80 GPa Poisson's ratio 0.33 Thermal conductivity 230 (W/mK)

Ultimate 430 MPa Tensile Strength, Yield 330 MPa Elongation at Break 18 % Modulus of Elasticity 75.0 GPa CTE, linear 23.9 μm/m-°C @Temperature 20.0 - 100 °C

and modulus of elasticity. These unique properties have made PAN an essential polymer in high tech. Its high tensile strength and tensile modulus are

influenced by the shear strength of the discontinuities. For example, the modulus of deformation is reduced, and the deformation becomes plastic (i.e. non-reversible

strain problems in elasticity. The quadratic quadrilateral element has modulus of elasticity E, Poisson’s ratio v, and thickness t. Kattan, Peter I. (2008)

Ultimate 430 MPa Tensile Strength, Yield 330 MPa Elongation at Break 18 % Modulus of Elasticity 75.0 GPa CTE, linear 23.9 μm/m-°C @Temperature 20.0 - 100 °C

biopolymer is similar to polystyrene in exhibiting tensile strength and modulus comparable to hydrocarbon-based thermoplastics. Much like polyester, it

metallic properties. These new nanoparticles also improve barrier properties, modulus, and surface toughness when used in composites. Graphene is extremely electrically

pseudo random numbers and longer period, by increasing the order and the modulus as required. In addition, recent research has shown that the ACORN generators

{\displaystyle z} there is a term of maximal modulus. This term depends on r := | z | {\displaystyle r:=|z|} . Its modulus is called the maximal term of the series:

strength 515 MPa Yield strength 455 MPa Fatigue strength 240 MPa Elastic modulus 70-80 GPa Poisson's ratio 0.33 Elongation 11% Thermal conductivity 180

advantage to security (assuming proper padding). 65537 is also used as the modulus in some Lehmer random number generators, such as the one used by ZX Spectrum

deformed volume, B0 is the bulk modulus, and B0' is the derivative of the bulk modulus with respect to pressure. The bulk modulus and its derivative are usually

No Properties SI Unit 1 Density 2.6 to 2.8 g/cm3 2 Elastic modulus 70 to 80 GPa 3 Poisson's ratio 0.33 4 Thermal conductivity 154 W/mK 5 Tensile Strength

ionizing radiation and most chemicals. Its Vickers hardness (38 GPa), elastic modulus (460 GPa) and fracture toughness (3.5 MPa·m1/2) approach the corresponding

MPAN is the check digit, and validates the previous 12 (the core) using a modulus 11 test. The check digit is calculated thus: Multiply the first digit by

Strength 750 MPa Yield Strength 730 MPa Elongation at Yield 8.0 % Youngs Modulus 71.0 GPa Thermal Properties Metric Coefficient of thermal expansion 23

amount of force. Hydrated resilin has a tensile modulus of 640–2000 kPa, an unconfined compressive modulus of 600–700 kPa, and a strain to break of 300%

modulus to protect up to TOP SECRET RSA for key establishment (NIST SP 800-56B rev 1) and digital signatures (FIPS 186-4), minimum 3072-bit modulus to

negative. For difference equations, there is stability if and only if the modulus of each root is less than 1. For both types of equation, persistent fluctuations

oscillatory shear (SAOS). Here the critical yield strain is defined as the modulus deviating about 10% from its initial value. Under it, gum cuds show elastic

measuring the mechanical properties of polymers including the storage modulus and loss modulus as functions of temperature. One method of increasing the mechanical

interpret the modulus squared of the wavefunction as a charge density. This approach was, however, unsuccessful. Max Born proposed that the modulus squared

default state. ... The gecko's adhesive structures are made from ß-keratin (modulus of elasticity [approx.] 2 GPa). Such a stiff material is not inherently

response and possess a surprisingly large low-frequency elastic shear modulus, which scales with the inverse cubic power of the confinement length. Alba-Simionesco

in the late 20th century and are not susceptible to magnetisation. The modulus of elasticity of materials is dependent on temperature. For most materials

tensile strength-to-Brinell hardness ratio. The variation of the tensile modulus of elasticity of the various grades is a reflection of the percentage of

useful when q < N k , {\displaystyle q<N^{k},} for otherwise estimating the modulus of the exponential sum by means of the triangle inequality as ≤ N {\displaystyle

Eigenvector, on a compass rose of 360°. Dip is measured as the Eigenvalue, the modulus of the tensor: this is valued from 0° (no dip) to 90° (vertical). Various

cryptosystem, plaintexts and ciphertexts are both values modulo N (the modulus). Therefore, RSA is not plaintext aware: one way of generating a ciphertext