What's the difference between polynomial and transcendental?
Polynomial
Definition:
(n.) An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.
(a.) Containing many names or terms; multinominal; as, the polynomial theorem.
(a.) Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
Example Sentences:
(1) The dual-line and polynomial regression techniques fit the data better (mean residual square deviation 0.024 and 0.031, respectively) than the single-regression line approach (0.110).
(2) The N2O dose-response data for each animal were fit by a second-order polynomial equation to estimate the value of a second-order coefficient.
(3) The calculation is made from a newly derived third-degree polynomial reflecting the ratio of the optic densities of whole nonstabilized blood hemoglobin aqueous solution in the 560-580 and 535-560 nm bands.
(4) Relative dose functions for 125I for these phantom media are fitted to second-degree polynomials.
(5) For this purpose we employed a third-degree polynomial regression analysis which showed a better fit of the data.
(6) Changes in pressures (IAP, CVP) and shunt flow were tabulated and analyzed with linear and polynomial regression.
(7) Trend analysis of the fatigue patterns revealed that a cubic orthogonal polynomial equation was sufficient to describe the profile of MVC decrement for all conditions.
(8) The superiority of the R3SSE over two related equations--a simple second-degree polynomial equation and a simplified form of the R3SSE which neglects contributions to solubility from the solvent mixture--is also demonstrated for a number of solutes.
(9) The polynomial logit-log procedure gave the best fit, but this was probably due to the inherent flexibility of this curve-fitting process since the analytical precision achieved with it was not better than what was obtained with most of the other procedures.
(10) A theorem about correspondence of the graph constructed and coefficients of the characteristic polynomial of linearized kinetic equations is proved.
(11) A tabulation is given of the polynomials for all possible stereoisomers of many of the knotted and catenated forms that are found in DNA.
(12) We present a polynomial algorithm (O(n X L4), where n is the number of sequences) for generating strings related to the LCS and constructed with the sequence alphabet and an indetermination symbol.
(13) The LV volume curve was smoothed by fitting a fourth order polynomial curve of Fourier's analysis.
(14) This case reduces to Wyman's binding polynomial analysis.
(15) Hence, the dose response relationship for the trophic effect of gastrin on the enterochromaffin like cells seems to follow a polynomial rather than a linear function.
(16) Polynomial curves were fitted to each race and sex group and, from these, estimates were made of the 3rd, 50th, and 97th percentiles for height and weight.
(17) The H-H rate constants, alpha and beta, are approximated by polynomial functions rather than exponential functions, since the former are handled more efficiently by SPICE.
(18) A third-order polynomial function would theoretically explain better than a linear relation or a parabolic fit the curved shape of experimentally obtained P-Q relationships.
(19) A polynomial regression fits the best the results: the speed of acquisition of this kind of learning decreases between the ages of 3 and 35 days, a plateau being observed in flies older than 35 days.
(20) It involves a conceptual dissection of the polypeptide chain into interacting blocks; the behavior of any block with side-chain interactions is treated then with conventional binding polynomial techniques.
Transcendental
Definition:
(n.) A transcendentalist.
Example Sentences:
(1) A total of 48 subjects participated in a relaxation experiment to determine whether frontalis muscle EMG biofeedback, Transcendental Meditation, and meditation (Benson technique) produced decreased muscle tension and concomitant changes in locus of control.
(2) The highly significant increase of 5-HIAA (5-hydroxyindole-3-acetic acid) in Transcendental Meditation technique suggests systemic serotonin as "rest and fulfillment hormone" of deactivation-relaxation.
(3) The problem of consciousness is discussed briefly, including the contrary views of consciousness as a transcendental phenomenon and as an animistic fiction.
(4) The data indicated that certain effects attributed to the practice of Transcendental Meditation (such as increased alertness and maintenance of attention, greater consistency and less anxiety) are not manifested in terms of learning and performance of a novel perceptual-motor skill.
(5) Serum dehydroepiandrosterone sulfate (DHEA-S) levels were measured in 270 men and 153 women who were experienced practitioners of the Transcendental Meditation (TM) and TM-Sidhi programs, mental techniques practiced twice daily, sitting quietly with the eyes closed.
(6) Contact was made with a ‘mystical-religious’ group that used the gas to accelerate arriving at their transcendental-meditative state of choice.” It increased in popularity with the rise of festival culture – it’s been a mainstay of Glastonbury’s stone circle and squat parties in Bristol and south London for at least a decade – but the equipment needed to dispense it remained relatively expensive.
(7) But we need to rediscover our inner transcendental selves in everyday life too.
(8) Twenty-five subjects learned and practised transcendental meditation for a period of three months.
(9) In his most famous self-image , as he sits, ill and emaciated, holding a cane with a carved skull, he is doing more than acknowledge mortality: he is claiming to be the new King Death, inheriting the title Andy Warhol whose fragile head he portrayed with a transcendental clarity, in a portrait so real you feel you could reach into it and hold it, stroke the silver wig.
(10) Multiple regression analyses showed that when motivation (measured on a 5-point self-rating scale), age, sex, education, and duration of practice of the Transcendental Meditation technique were held constant, number of months of practice of the TM-Sidhi programme significantly predicted higher performance on two of the perceptual-motor speed tests and both tests of intelligence.
(11) It all started with a problem Wolf was having in her own sex life; the quality of her orgasms suddenly changed from being full of light and colour and what she describes in terms of transcendental experience, to something dull and lifeless.
(12) The various relaxation methods, such as yoga, transcendental meditation, progressive muscle relaxation, and others have shown more promise.
(13) We tested the hypothesis that a drop in metabolic rate (MR) causes the apneas observed in some subjects during transcendental meditation (TM).
(14) Three brief tests that assess perceptual-motor speed and two that assess nonverbal intelligence were administered to individuals who were practicing the Transcendental Meditation and TM-Sidhi programme.
(15) Transcendental meditation is said to induce in its practitioners an altered state of consciousness resulting in relief of stress, an increased sense of awareness, and a sense of well-being.
(16) This article reviews 24 studies on the benefits of Transcendental Meditation (TM) in treating and preventing misuse of chemical substances.
(17) In the formation of delusions on the basis of the disturbance of self-evidence, we can observe the process from the weakening to the substantiation toward the outside of the transcendental organization.
(18) And it continues today, the discourse and the amiable discord, by turns legalistic, linguistic, poetic, artistic, metaphysical, practical, transcendental, earthy, comedic.
(19) The groups with the positive physiological indicators showed a trend toward higher scores on the psychological health factor (p = .092), indicating that psychological health may be developed through the systematic cultivation of transcendental meditation and the TM-Sidhi program.
(20) In order to complete a hormonal profile of these states and to identify possible metabolic regulators, we measured thyroid hormones (T3 and T4), thyroid stimulating hormone (TSH), and insulin during the stylized mental practice of "transcendental mediation" (TM) and during ordinary unstylized eyes closed rest.