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LOGARITHMIC PAIR

  • Logarithmic pair
  • algebraic geometry, a logarithmic pair consists of a variety, together with a divisor along which one allows mild logarithmic singularities. They were

    Logarithmic pair

    Logarithmic_pair

  • Logarithm
  • Mathematical function, inverse of an exponential function

    application was the slide rule, a pair of logarithmically divided scales used for calculation. The non-sliding logarithmic scale, Gunter's rule, was invented

    Logarithm

    Logarithm

    Logarithm

  • Logarithmic derivative
  • Mathematical operation in calculus

    rule (compare the list of logarithmic identities); each pair of rules is related through the logarithmic derivative. Logarithmic derivatives can simplify

    Logarithmic derivative

    Logarithmic_derivative

  • Trigonometric functions
  • Functions of an angle

    functions like the logarithmic sine, logarithmic cosine, logarithmic secant, logarithmic cosecant, logarithmic tangent and logarithmic cotangent. The word

    Trigonometric functions

    Trigonometric functions

    Trigonometric_functions

  • Magnitude (mathematics)
  • Property determining comparison and ordering

    Richter scale of earthquake intensity. Logarithmic magnitudes can be negative. In the natural sciences, a logarithmic magnitude is typically referred to as

    Magnitude (mathematics)

    Magnitude_(mathematics)

  • Potentiometer
  • Type of resistor, usually with three terminals

    usually marked with an "A" for logarithmic taper or a "B" for linear taper; "C" for the rarely seen reverse logarithmic taper. Others, particularly those

    Potentiometer

    Potentiometer

    Potentiometer

  • Pairing function
  • Function uniquely mapping two numbers into a single number

    linear time and with logarithmic space; the first can also be computed offline with constant space. In 2001, Pigeon proposed a pairing function based on

    Pairing function

    Pairing_function

  • Fade (audio engineering)
  • Gradual change in level of audio signal

    A smooth fade is one that changes according to the logarithmic scale, as faders are logarithmic over much of their working range of 30-40 dB. If the

    Fade (audio engineering)

    Fade (audio engineering)

    Fade_(audio_engineering)

  • Superfluid vacuum theory
  • Theory of fundamental physics

    cause. Also, some versions of SVT favor a wave equation based on the logarithmic potential rather than on the quartic one. The former potential has not

    Superfluid vacuum theory

    Superfluid vacuum theory

    Superfluid_vacuum_theory

  • Branch point
  • Point of interest for complex multi-valued functions

    categories: algebraic branch points, transcendental branch points, and logarithmic branch points. Algebraic branch points most commonly arise from functions

    Branch point

    Branch_point

  • Kawamata–Viehweg vanishing theorem
  • vanishing theorem, on the vanishing of coherent cohomology groups, to logarithmic pairs, proved independently by Viehweg and Kawamata in 1982. The theorem

    Kawamata–Viehweg vanishing theorem

    Kawamata–Viehweg_vanishing_theorem

  • Time complexity
  • Estimate of time taken for running an algorithm

    input cannot take logarithmic time, as the time taken for reading an input of size n is of the order of n. An example of logarithmic time is given by dictionary

    Time complexity

    Time complexity

    Time_complexity

  • Golden ratio
  • Number, approximately 1.618

    form of a logarithmic spiral) using quarter-circles with radii from these sequences, differing only slightly from the true golden logarithmic spiral. Fibonacci

    Golden ratio

    Golden ratio

    Golden_ratio

  • Number line
  • Line formed by the real numbers

    arithmetic to the geometric composition of angles. Marking the line with logarithmically spaced graduations associates multiplication and division with geometric

    Number line

    Number_line

  • Orders of magnitude (numbers)
  • 74×10−16 is the probability of rolling snake eyes 10 times in a row on a pair of fair dice. (0.000000000000001; 1000−5; short scale: one quadrillionth;

    Orders of magnitude (numbers)

    Orders_of_magnitude_(numbers)

  • Binary search
  • Search algorithm finding the position of a target value within a sorted array

    computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position

    Binary search

    Binary search

    Binary_search

  • Slide rule
  • Mechanical analog computer

    register the intermediate result for ⁠5.5/2⁠. Because pairs of numbers that are aligned on the logarithmic scales form constant ratios, no matter how the scales

    Slide rule

    Slide rule

    Slide_rule

  • Strain (mechanics)
  • Relative deformation of a physical body

    other more complex definitions of strain are required, such as stretch, logarithmic strain, Green strain, and Almansi strain. Engineering strain, also known

    Strain (mechanics)

    Strain_(mechanics)

  • Twin prime
  • Prime differing from another prime by two

    Here, "grow slowly" means that the length of these intervals can grow logarithmically. This result was successively improved; in 1986 Helmut Maier showed

    Twin prime

    Twin_prime

  • Scoring rule
  • Measure for evaluating probabilistic forecasts

    probability as p, then one can write the logarithmic scoring rule as x ln(p) + (1 − x) ln(1 − p). Note that any logarithmic base may be used, since strictly proper

    Scoring rule

    Scoring rule

    Scoring_rule

  • PH
  • Measure of the level of acidity or basicity of an aqueous solution

    In chemistry, pH (/piːˈheɪtʃ/ or /piːˈeɪtʃ/; pee-AYCH) is a logarithmic scale used to specify the acidity or basicity of aqueous solutions. Acidic solutions

    PH

    PH

    PH

  • Romanesco broccoli
  • Vegetable, member of the cabbage family

    is self-similar in character, with the branched meristems making up a logarithmic spiral, giving a form approximating a natural fractal; each bud is composed

    Romanesco broccoli

    Romanesco broccoli

    Romanesco_broccoli

  • Varieties of equal temperament
  • Musical tuning system with constant ratios between notes

    frequencies of any adjacent pair of notes is the same. This system yields pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency

    Varieties of equal temperament

    Varieties_of_equal_temperament

  • Logarithmic norm
  • Mathematical function often applied to matrices

    In mathematics, the logarithmic norm is a real-valued functional on operators, constructed from either a vector norm or an inner product, or directly

    Logarithmic norm

    Logarithmic_norm

  • Proportionality (mathematics)
  • Property of two varying quantities with a constant ratio

    ) {\textstyle {\frac {f(x)}{g(x)}}} is a constant function. If several pairs of variables share the same direct proportionality constant, the equation

    Proportionality (mathematics)

    Proportionality (mathematics)

    Proportionality_(mathematics)

  • Slide rule scale
  • Graduated markings, generally logarithmic, on slide rule

    inscribed on wood, was a single logarithmic scale going from 1 to 100. It had no sliding parts but by using a pair of dividers it was possible to multiply

    Slide rule scale

    Slide rule scale

    Slide_rule_scale

  • Figure skating spins
  • Element in competitive figure skating

    many exit variations of spins. The entry phase of a spin produces a logarithmic curve with an indefinite number of radii, smallest at the end and largest

    Figure skating spins

    Figure skating spins

    Figure_skating_spins

  • Birthday problem
  • Probability of shared birthdays

    every possible pair of individuals. With 23 individuals, there are 23 × 22 2 = 253 {\displaystyle {\frac {23\times 22}{2}}=253} pairs to consider. Real-world

    Birthday problem

    Birthday problem

    Birthday_problem

  • 1951 USAF resolution test chart
  • Microscopic optical resolution test device

    provided in a standardized series of logarithmic steps in the spatial frequency range from 0.250 to 912.3 line pairs per millimeter (lp/mm). The series

    1951 USAF resolution test chart

    1951 USAF resolution test chart

    1951_USAF_resolution_test_chart

  • Spiral antenna
  • Type of RF antenna

    described in 1956. Archimedean spiral antennas are the most popular, while logarithmic spiral antennas are independent of frequency: the driving point impedance

    Spiral antenna

    Spiral antenna

    Spiral_antenna

  • Canonical singularity
  • Singularities of algebraic varieties

    exceptional divisor. (The word "log" comes primarily from the notion of logarithmic forms, which amounts to this "pole of order 1" condition. For example

    Canonical singularity

    Canonical_singularity

  • Elliptic surface
  • Mathematical concept

    Kawamata and others to families of Calabi–Yau varieties of any dimension. A logarithmic transformation (of order m with center p) of an elliptic surface or fibration

    Elliptic surface

    Elliptic_surface

  • Golden rectangle
  • Rectangle with side lengths in the golden ratio

    form an infinite sequence of points on the golden spiral, the unique logarithmic spiral with this property. Diagonal lines drawn between the first two

    Golden rectangle

    Golden rectangle

    Golden_rectangle

  • Near visual acuity
  • Clarity of near objects or letters

    introduced in 1950s, but this too was not fully logarithmic. This was followed by the introduction of logarithmic Sloan reading cards in the early 1960s and

    Near visual acuity

    Near visual acuity

    Near_visual_acuity

  • Physical quantity
  • Measurable property of a material or system

    Symbols for elementary functions (circular trigonometric, hyperbolic, logarithmic etc.), changes in a quantity like Δ in Δy or operators like d in dx,

    Physical quantity

    Physical quantity

    Physical_quantity

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    computers. The number series compands the original audio wave similar to logarithmic methods such as μ-law. Some Agile teams use a modified series called

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Signal-to-noise ratio
  • Ratio of the desired signal to the background noise

    defined. The most common way to express SNR is in decibels, which is a logarithmic scale that makes it easier to compare large or small values. Other definitions

    Signal-to-noise ratio

    Signal-to-noise ratio

    Signal-to-noise_ratio

  • 2000 (number)
  • Natural number

    2368 – sum of the totient function for the first 88 integers 2372 – logarithmic number 2378 – Pell number 2379 – member of the Mian–Chowla sequence 2381

    2000 (number)

    2000_(number)

  • Damping
  • Influence on an oscillating physical system which reduces or prevents its oscillation

    For underdamped vibrations, the damping ratio is also related to the logarithmic decrement δ {\displaystyle \delta } . The damping ratio can be found

    Damping

    Damping

  • Entropy
  • Property of a thermodynamic system

    to the macroscopically observable behaviour, in the form of a simple logarithmic law, with a proportionality constant, the Boltzmann constant, which has

    Entropy

    Entropy

    Entropy

  • 100,000,000,000
  • Natural number

    atoms 252,097,800,623 = 10,000,000,000th prime number 255,323,504,932 = logarithmic number. 259,717,522,849 = 31st Pell number. 274,877,906,944 = 5242882

    100,000,000,000

    100,000,000,000

  • Reachability
  • Whether one vertex can be reached from another in a graph

    has logarithmic depth, a total of O ( log ⁡ n ) {\displaystyle O(\log {n})} extra information is stored per vertex. From this point, a logarithmic time

    Reachability

    Reachability

  • Uncertainty principle
  • Foundational principle in quantum physics

    restrictive than the Heisenberg uncertainty principle. From the inverse logarithmic Sobolev inequalities H x ≤ 1 2 log ⁡ ( 2 e π σ x 2 / x 0 2 )   , {\displaystyle

    Uncertainty principle

    Uncertainty principle

    Uncertainty_principle

  • Component (graph theory)
  • Maximal subgraph whose vertices can reach each other

    equivalent to it under logarithmic-space reductions. It was finally proven in 2008 that this connectivity problem can be solved in logarithmic space, and therefore

    Component (graph theory)

    Component (graph theory)

    Component_(graph_theory)

  • Self-balancing binary search tree
  • Any node-based binary search tree that automatically keeps its height the same

    "self-balancing". For height-balanced binary trees, the height is defined to be logarithmic O ( log ⁡ n ) {\displaystyle O(\log n)} in the number n {\displaystyle

    Self-balancing binary search tree

    Self-balancing binary search tree

    Self-balancing_binary_search_tree

  • Quantum entanglement
  • Physics phenomenon

    formation Concurrence Relative entropy of entanglement Squashed entanglement Logarithmic negativity Most (but not all) of these entanglement measures reduce for

    Quantum entanglement

    Quantum entanglement

    Quantum_entanglement

  • Six degrees of separation
  • Concept of social inter-connectedness

    The idea is sometimes generalized to the average social distance being logarithmic in the size of the population. Theories on optimal design of cities,

    Six degrees of separation

    Six degrees of separation

    Six_degrees_of_separation

  • Hick's law
  • Time to make a decision as a result of the possible choices

    choices: increasing the number of choices will increase the decision time logarithmically. The Hick–Hyman law assesses cognitive information capacity in choice

    Hick's law

    Hick's_law

  • Argument of a function
  • Input to a mathematical function

    function takes, whereas the parameters are not. For example, in the logarithmic function f ( x ) = log b ⁡ ( x ) , {\displaystyle f(x)=\log _{b}(x),}

    Argument of a function

    Argument_of_a_function

  • F-number
  • Measure of lens speed

    represented by a doubling of the number, and a logarithmic number. In the ISO system, a 3° increase in the logarithmic number corresponds approximately to a doubling

    F-number

    F-number

    F-number

  • Beta distribution
  • Probability distribution

    functions. See the section § Moments of logarithmically transformed random variables. The variance of the logarithmic variables and covariance of ln X and

    Beta distribution

    Beta distribution

    Beta_distribution

  • Moment magnitude scale
  • Measure of earthquake size

    magnitude/Richter scale (ML) defined by Charles Francis Richter in 1935, it uses a logarithmic scale; small earthquakes have approximately the same magnitudes on both

    Moment magnitude scale

    Moment_magnitude_scale

  • Exponential growth
  • Growth of quantities at rate proportional to the current amount

    growth, such as quadratic growth). Exponential growth is the inverse of logarithmic growth. Terms like "exponential growth" are sometimes incorrectly interpreted

    Exponential growth

    Exponential growth

    Exponential_growth

  • Log-periodic antenna
  • Multi-element, directional antenna useable over a wide band of frequencies

    of a pair of metal rods, positioned along a support boom lying along the antenna axis. The elements are spaced at intervals following a logarithmic function

    Log-periodic antenna

    Log-periodic antenna

    Log-periodic_antenna

  • Oymurania
  • Extinct genus of shelled animals

    as a stem-group Brachiopod. It consists of a pair of Micrina-like shells that broadly follow a logarithmic coiling trajectory with a high rate of expansion

    Oymurania

    Oymurania

  • Bar chart
  • Type of chart

    Celsius or Fahrenheit where zero is a somewhat arbitrary value, and with logarithmic charts where "log(0)" would be infinitely far away. Bar graphs can also

    Bar chart

    Bar chart

    Bar_chart

  • Cent (music)
  • Musical interval unit

    The cent is a logarithmic unit of measure used for musical intervals. Twelve-tone equal temperament divides the octave into 12 semitones of 100 cents

    Cent (music)

    Cent_(music)

  • Condition number
  • Function's sensitivity to argument change

    of the logarithmic derivative of f {\displaystyle f} , which is ( log ⁡ f ) ′ = f ′ / f {\displaystyle (\log f)'=f'/f} , and the logarithmic derivative

    Condition number

    Condition_number

  • Capacity of a set
  • In Euclidean space, a measure of that set's "size"

    _{D}|\nabla u|^{2}\mathrm {d} x} This is often called the logarithmic capacity, the term logarithmic arises, as the potential function goes from being an inverse

    Capacity of a set

    Capacity_of_a_set

  • Hankel transform
  • Mathematical operation

    based on fast Fourier transform in logarithmic variables, f ( r ) {\displaystyle f(r)} has to be defined on a logarithmic grid. For functions defined on a

    Hankel transform

    Hankel_transform

  • Bounding volume hierarchy
  • Graphics structure

    the time complexity (the number of tests performed) can be reduced to logarithmic in the number of objects. With such a hierarchy in place, during collision

    Bounding volume hierarchy

    Bounding_volume_hierarchy

  • Nautilus
  • Family of molluscs

    The nautilus shell presents one of the finest natural examples of a logarithmic spiral, although it is not a golden spiral. The use of nautilus shells

    Nautilus

    Nautilus

    Nautilus

  • Discounted cumulative gain
  • Measure of ranking quality

    theoretical guarantee for using the logarithmic reduction factor in Normalized DCG (NDCG). The authors show that for every pair of substantially different ranking

    Discounted cumulative gain

    Discounted_cumulative_gain

  • Non-interactive zero-knowledge proof
  • Cryptographic primitive

    released, which enable proving that a committed value is in a range using a logarithmic (in the bit length of the range) number of field and group elements.

    Non-interactive zero-knowledge proof

    Non-interactive_zero-knowledge_proof

  • Euclidean distance
  • Length of a line segment

    that are not points is usually defined to be the smallest distance among pairs of points from the two objects. Formulas are known for computing distances

    Euclidean distance

    Euclidean distance

    Euclidean_distance

  • List (abstract data type)
  • Finite, ordered collection of items

    right-most child's index, used to guide the search), taking the time logarithmic in the list's size, but as long as it doesn't change much will provide

    List (abstract data type)

    List_(abstract_data_type)

  • Geometric mean
  • N-th root of the product of n numbers

    When the collection of numbers and their geometric mean are plotted in logarithmic scale, the geometric mean is transformed into an arithmetic mean, so

    Geometric mean

    Geometric mean

    Geometric_mean

  • Faster-than-light
  • Propagation of information or matter faster than the speed of light

    quantum Bose liquid whose ground-state wavefunction is described by the logarithmic Schrödinger equation. It was shown that the relativistic gravitational

    Faster-than-light

    Faster-than-light

  • Chambered nautilus
  • Species of nautilus

    often used as an example of the golden spiral. While nautiluses show logarithmic spirals, their ratios range from about 1.24 to 1.43, with an average

    Chambered nautilus

    Chambered nautilus

    Chambered_nautilus

  • On Growth and Form
  • Book by the Scottish D'Arcy Wentworth Thompson 1917

    tension in shaping soap films and similar structures such as cells; the logarithmic spiral as seen in mollusc shells and ruminant horns; the arrangement

    On Growth and Form

    On Growth and Form

    On_Growth_and_Form

  • Separating words problem
  • Problem in theoretical computer science

    pairs of binary words can be distinguished from each other with a logarithmic number of states, because only a polynomially small fraction of pairs have

    Separating words problem

    Separating_words_problem

  • History of logarithms
  • Development of the mathematical function

    methods to compute tables of functions. He also completed a table of logarithmic sines and tangents for the hundredth part of every degree to fourteen

    History of logarithms

    History of logarithms

    History_of_logarithms

  • Scattering parameters
  • Values which describe behavior of a linear electric circuit

    S-parameter magnitude may be expressed in linear form or logarithmic form. When expressed in logarithmic form, magnitude has the "dimensionless unit" of decibels

    Scattering parameters

    Scattering_parameters

  • Costas array
  • Points with distinct displacement vectors

    wrote about them in the same year, publishing what is now known as the logarithmic Welch method of constructing Costas arrays. The general enumeration of

    Costas array

    Costas array

    Costas_array

  • Equiangular
  • Topics referred to by the same term

    a set of lines where every pair of lines makes the same angle Equiangular polygon, a polygon with equal angles Logarithmic spiral or equiangular spiral

    Equiangular

    Equiangular

  • Large numbers
  • Numbers significantly larger than those used regularly

    vary dramatically can be represented and compared graphically via a logarithmic scale. A natural language numbering system represents large numbers using

    Large numbers

    Large_numbers

  • Grüneisen parameter
  • Thermodynamical parameter of solids

    mode i {\displaystyle i} can then be defined as (the negative of) the logarithmic derivative of the corresponding frequency ω i {\displaystyle \omega _{i}}

    Grüneisen parameter

    Grüneisen_parameter

  • Weierstrass functions
  • Mathematical functions related to Weierstrass's elliptic function

    that between the sine, cotangent, and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative

    Weierstrass functions

    Weierstrass_functions

  • 100,000
  • Natural number

    with 18 unlabeled nodes 124,754 = number of partitions of 47 125,673 = logarithmic number 127,777 = smallest natural number requiring 18 syllables in American

    100,000

    100,000

  • Albert Einstein
  • German-born theoretical physicist (1879–1955)

    second. The physicist Lev Landau ranked physicists from 0 to 5 on a logarithmic scale of productivity and genius, with Newton receiving the highest ranking

    Albert Einstein

    Albert Einstein

    Albert_Einstein

  • 1,000,000
  • Natural number

    1,089,270 = harmonic divisor number 1,111,111 = repunit 1,112,083 = logarithmic number 1,129,30832 + 1 is prime 1,136,689 = Pell number, Markov number

    1,000,000

    1,000,000

  • Order of operations
  • Performing order of mathematical operations

    implied multiplication is recognized by the AOS and the square root, logarithmic, and trigonometric functions can be followed by their arguments as when

    Order of operations

    Order_of_operations

  • Elementary algebra
  • Basic concepts of algebra

    x-1=\log _{2}3} or x = log 2 ⁡ 3 + 1. {\displaystyle x=\log _{2}3+1.} A logarithmic equation is an equation of the form l o g a ( x ) = b {\displaystyle

    Elementary algebra

    Elementary algebra

    Elementary_algebra

  • Passive optical network
  • Technology used to provide broadband to the end consumer via fiber

    reports each T-CONT separately to the OLT. The report message contains a logarithmic measure of the backlog in the T-CONT queue. By knowledge of the service

    Passive optical network

    Passive optical network

    Passive_optical_network

  • Link budget
  • Accounting of signal gains and losses in communications

    (dBm), Power gains and losses are expressed in decibels (dB), which is a logarithmic measurement, so adding decibels is equivalent to multiplying the actual

    Link budget

    Link_budget

  • Gossip protocol
  • Concept in computing

    affected by the information within time logarithmic in the size of the system (the "mixing time" must be logarithmic in system size). Suppose that we want

    Gossip protocol

    Gossip_protocol

  • Bose–Einstein condensate
  • State of matter

    equation. For example, the logarithmic term ψ ln ⁡ | ψ | 2 {\displaystyle \psi \ln |\psi |^{2}} found in the Logarithmic Schrödinger equation must be

    Bose–Einstein condensate

    Bose–Einstein condensate

    Bose–Einstein_condensate

  • Trie
  • Search tree data structure

    ISBN 978-1-4503-3033-6. S2CID 12943246. Willar, Dan E. (27 January 1983). "Log-logarithmic worst-case range queries are possible in space O(n)". Information Processing

    Trie

    Trie

    Trie

  • Dijkstra's algorithm
  • Algorithm for finding shortest paths

    whose cost of returning/removing the minimum element from the heap is logarithmic in the number of elements inserted after it rather than in the number

    Dijkstra's algorithm

    Dijkstra's algorithm

    Dijkstra's_algorithm

  • Diode
  • Two-terminal electronic component

    be seen by using a semi-log plot, with current being represented on a logarithmic scale and voltage on a linear scale). Since a diode's forward-voltage

    Diode

    Diode

    Diode

  • Doyle spiral
  • Circle packing arranged in spirals

    circles linked through opposite points of tangency, with their centers on logarithmic spirals of three different shapes. Doyle spirals are named after mathematician

    Doyle spiral

    Doyle spiral

    Doyle_spiral

  • Acid dissociation constant
  • Measure of an acid's strength in solution

    {\displaystyle K_{\text{a}}=\mathrm {\frac {[A^{-}][H^{+}]}{[HA]}} ,} or by its logarithmic form p K a = − log 10 ⁡ K a = log 10 ⁡ [ HA ] [ A − ] [ H + ] {\displaystyle

    Acid dissociation constant

    Acid_dissociation_constant

  • Acid strength
  • Measure of the tendency of an acid to dissociate

    Stronger acids have a larger K a {\displaystyle K_{a}} and a smaller logarithmic constant ( p K a = − log ⁡ K a {\displaystyle \mathrm {p} K_{a}=-\log

    Acid strength

    Acid_strength

  • Linear probing
  • Computer programming method for hashing

    sequence (among the probe sequences for all keys stored in the table) has logarithmic length. Linear probing hash tables suffer from a problem known as primary

    Linear probing

    Linear probing

    Linear_probing

  • Certificate (complexity)
  • String that certifies the answer to a computation

    deterministic logarithmic-space bounded Turing machine that can read each bit of the certificate once only. Alternatively, the deterministic logarithmic-space

    Certificate (complexity)

    Certificate_(complexity)

  • Differentiable curve
  • Study of curves from a differential point of view

    equations are the Euler–Lagrange equations of motion for this action. A logarithmic spiral can be parametrized as γ ( t ) = a e k t ( cos ⁡ t , sin ⁡ t )

    Differentiable curve

    Differentiable_curve

  • Chemical potential
  • Change in energies of a thermodynamic system with respect to particle number

    {\displaystyle \mu _{i}} from a chosen logarithmic ideal such as the above. In the case of solutes, the dilute logarithmic ideal may be written instead in terms

    Chemical potential

    Chemical_potential

  • Genome evolution
  • Process by which a genome changes in structure or size over time

    parental cell.[citation needed] Genome size is usually measured in base pairs (or bases in single-stranded DNA or RNA). The C-value is another measure

    Genome evolution

    Genome evolution

    Genome_evolution

  • Second law of thermodynamics
  • Physical law for entropy and heat

    {\partial \left(\Omega X\right)}{\partial E}}\right)_{x}\,} The logarithmic derivative of Ω {\displaystyle \Omega } with respect to x is thus given

    Second law of thermodynamics

    Second law of thermodynamics

    Second_law_of_thermodynamics

  • Yamaha OPL
  • Sound chip series by Yamaha

    waveforms (alternating-sine, "camel"-sine, square and logarithmic sawtooth) 4 operator mode, pairing 2 channels together to create up to six 4 operator FM

    Yamaha OPL

    Yamaha_OPL

AI & ChatGPT searchs for online references containing LOGARITHMIC PAIR

LOGARITHMIC PAIR

AI search references containing LOGARITHMIC PAIR

LOGARITHMIC PAIR

  • Fairbrother
  • Surname or Lastname

    English (Lancashire)

    Fairbrother

    English (Lancashire) : probably ‘brother of someone called Fair’ or else a descriptive name for the better-looking of a pair of brothers.

    Fairbrother

  • Midhun
  • Boy/Male

    Hindu

    Midhun

    A pair, A month of kerala midhunam

    Midhun

  • Mahneerah
  • Girl/Female

    Arabic, Muslim

    Mahneerah

    First Born of a Pair

    Mahneerah

  • Holton
  • Surname or Lastname

    English

    Holton

    English : habitational name from any of the numerous places so called. The final syllable represents Old English tūn ‘enclosure’, ‘settlement’. The first element has a wide variety of possible origins. In the case of three examples in Lincolnshire it is Old English hōh ‘spur of a hill’; for places in Oxfordshire and Somerset it is Old English halh ‘nook’, ‘recess’; for one in Dorset it may be Old English holh ‘hollow’, ‘depression’ or holt ‘small wood’; for a further pair in Suffolk it may be hola, genitive plural of holh ‘hollow’, but more probably a personal name Hōla.

    Holton

  • Midhun | மீதுந
  • Boy/Male

    Tamil

    Midhun | மீதுந

    A pair, A month of kerala midhunam

    Midhun | மீதுந

  • Gates
  • Surname or Lastname

    English

    Gates

    English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.

    Gates

  • BER
  • Male

    Yiddish

    BER

    (בֶּער) Yiddish name derived from German baer, BER means "bear." It is often paired with Dov--for example, Ber Dov, Dovber--which also means "bear" in Hebrew and has been borne by many rabbis and Zionists.

    BER

  • Mahneera
  • Girl/Female

    Indian

    Mahneera

    First born of a pair

    Mahneera

  • Mahneerah
  • Girl/Female

    Muslim/Islamic

    Mahneerah

    First born of a pair

    Mahneerah

  • Jusman
  • Boy/Male

    Hindu, Indian

    Jusman

    Pair

    Jusman

  • Yugal
  • Boy/Male

    Hindu, Indian, Marathi, Marwadi

    Yugal

    Pair

    Yugal

  • Tong
  • Surname or Lastname

    Chinese

    Tong

    Chinese : variant of Tang 2.Chinese : variant of Tang 3.Chinese : from a modification of the character Zhong (). In the Xia dynasty (2205–1766 bc), there existed a senior adviser whose name was Zhonggu. Much later, in the Ming dynasty (1368–1644 ad), some descendants settled along a river that became known as the Tong Family river. As the Manchus moved southwards, some took up residence by this river and they too adopted Tong as their surname.Chinese : from Lao Tong, the ‘style name’ given to a son of Zhuan Xu, legendary emperor of the 26th century bc. Two of his sons became important advisers to the next emperor, Ku. Some descendants of Lao Tong adopted a character from his style name as their surname.Chinese : see also Dong.English : metonymic occupational name for a maker or user of tongs (Old English tang(e)), or a habitational name from one of the places named with this word (there are examples in Lancashire, Shropshire, and West Yorkshire), from their situation by a fork in a road or river, considered as resembling a pair of tongs.English : topographic name for someone who lived on a tongue of land, or a habitational name from a place named with this word (Old English tunge, Old Norse tunga), for example Tonge in Leicestershire.Dutch : from a short form of the personal name Antonius (see Anthony). It could also be from Dutch tong ‘tongue’ and hence a nickname for a chatterbox or scold, or possibly a shortening of Van Tongeren, a habitational name for someone from Tongeren in the province of Gelderland.

    Tong

  • Mahneerah |
  • Girl/Female

    Muslim

    Mahneerah |

    First born of a pair

    Mahneerah |

  • Mahneera |
  • Girl/Female

    Muslim

    Mahneera |

    First born of a pair

    Mahneera |

  • Paradise
  • Surname or Lastname

    English and Scottish

    Paradise

    English and Scottish : from Old French paradis, denoting someone who lived by a park or pleasure garden, especially one attached to a monastery, nunnery, or cathedral.Americanized form of French Paradis or Italian Paradiso.Americanized form of a Greek family name such as Paradissis, Paradissiadis, or Paradissopoulos, from a personal name based on ancient Greek paradeisos ‘paradise’, ‘pleasure garden’, from Persian pairidaesa ‘royal park’.Americanized form of German Paradies, a German topographic name and house name and an ornamental Ashkenazic Jewish name, from Middle High German paradīs(e), German Paradies ‘paradise’, ‘park’, ‘pleasure garden’ (see 1 and 3).

    Paradise

  • Jaikiri
  • Girl/Female

    Indian

    Jaikiri

    Pair of Pears

    Jaikiri

  • Mahneera
  • Girl/Female

    Muslim/Islamic

    Mahneera

    First born of a pair

    Mahneera

  • Benton
  • Surname or Lastname

    English

    Benton

    English : habitational name from a pair of villages in Northumbria named with Old English bēan ‘beans’ (a collective singular) or beonet ‘bent grass’ + tūn ‘enclosure’, ‘settlement’. The name is now most frequent in the West Midlands, however, so it may be that a place of the same name in that area should be sought as its origin.

    Benton

  • Minshall
  • Surname or Lastname

    English

    Minshall

    English : habitational name from a pair of villages in Cheshire, on either side of the Weaver river, recorded in Domesday Book as Maneshale, from the genitive case of the Old English personal name Mann + Old English scylf ‘shelf’, ‘ledge’.

    Minshall

  • Stoneham
  • Surname or Lastname

    English

    Stoneham

    English : habitational name from either of a pair of villages in Hampshire, so called from Old English stān ‘stone’ + hām ‘homestead’.

    Stoneham

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  • Table
  • n.

    Any collection and arrangement in a condensed form of many particulars or values, for ready reference, as of weights, measures, currency, specific gravities, etc.; also, a series of numbers following some law, and expressing particular values corresponding to certain other numbers on which they depend, and by means of which they are taken out for use in computations; as, tables of logarithms, sines, tangents, squares, cubes, etc.; annuity tables; interest tables; astronomical tables, etc.

  • Logarithmical
  • a.

    Of or pertaining to logarithms; consisting of logarithms.

  • Logarithmically
  • adv.

    By the use of logarithms.

  • Pairing
  • v. i.

    See To pair off, under Pair, v. i.

  • Radix
  • n.

    A number or quantity which is arbitrarily made the fundamental number of any system; a base. Thus, 10 is the radix, or base, of the common system of logarithms, and also of the decimal system of numeration.

  • Equation
  • n.

    An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.

  • Logarithm
  • n.

    One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division.

  • Logarithmic
  • a.

    Alt. of Logarithmical

  • Characteristic
  • n.

    The integral part (whether positive or negative) of a logarithm.

  • Mesologarithm
  • n.

    A logarithm of the cosine or cotangent.

  • Pair
  • v. t.

    To unite in couples; to form a pair of; to bring together, as things which belong together, or which complement, or are adapted to one another.

  • Logarithmetic
  • a.

    Alt. of Logarithmetical

  • Invention
  • n.

    The act of finding out or inventing; contrivance or construction of that which has not before existed; as, the invention of logarithms; the invention of the art of printing.

  • Base
  • n.

    The number from which a mathematical table is constructed; as, the base of a system of logarithms.

  • Antilogarithm
  • n.

    The number corresponding to a logarithm. The word has been sometimes, though rarely, used to denote the complement of a given logarithm; also the logarithmic cosine corresponding to a given logarithmic sine.

  • Logarithmetical
  • a.

    See Logarithmic.

  • Mantissa
  • n.

    The decimal part of a logarithm, as distinguished from the integral part, or characteristic.

  • Pairing
  • v. i.

    The act or process of uniting or arranging in pairs or couples.