functionaladj.n.

1806 L. Gompertz in Philos. Trans. (Royal Soc.) 96 176 This theorem evidently supposes that the functional values of pz are distinct in the general expression for the sum of the series.

1877 Jrnl. Speculative Philos. 5 151 The equations expressing those functional laws must therefore become more and more complex as the scale of the phenomena investigated rises higher and higher in complexity.

1945 Amer. Math. Monthly 52 358 The speaker considered only functions with natural numbers for arguments and functional values.

1974 Trans. Amer. Math. Soc. 194 301 This functional representation cannot be expected in infinite dimensions.

2004 M. Potter Set Theory & its Philos. iv. 67 Functional relations between a and b are more usually called functions from a to b.

1914 Times 11 Nov. 3/1 (advt.) According to your individual condition, I will prescribe a system of functional training that will make and keep you permanently fit.

1937 Life 12 Apr. 52/1 The Mensendieck System of Functional Exercises.

1961 Calif. Med. 94 313/2 These exercises are functional exercises and not for individual muscles or joints.

1998 Orland Park (Illinois) Star 11 Jan. e5/1 Fitness expert Tom Campanaro recommends ‘functional exercises’ that mimic the motions you'll do on the snow [while skiing].

2006 M. Vella Anat. for Strength & Fitness Training (2008) vi. 116 Many functional training experts agree that one of the best ways to stretch a tight muscle affected by postural imbalance is to strengthen the opposing muscle group.

2014 New Yorker 27 Jan. 24/1 The popularity of obstacle races owes something to the broader trend toward ‘functional fitness’.

1915 Science 10 Dec. 844/1 Courses of lectures..: By Professor G. C. Evans, ‘Topics from the theory and applications of functionals, including integral equations.’

1966 R. Stone Math. in Social Sci. i. 11 Often when taking a decision..what we have to maximize (or minimize) is a functional rather than a function.

2016 Amer. Math. Monthly 123 185 We demonstrate that not all strongly convex functionals are radially unbounded.

1971 Atlanta Constit. 8 Feb. 2 a/1 For six years I was a functional alcoholic. I managed to hold down a job, but I was a weekend drunk.

1998 G. Carroll Environmental Stress & Afr.-Amer. ii. 17 I told him..that he needed to..acknowledge that he was a functional alcoholic and needed help.

2013 Times (Nexis) 23 Mar. (Mag.) My parents were functional alcoholics, so I'd spent a lot of time in bars waiting for them.

1876 Addr. & Jrnl. Proc. National Educ. Assoc. U.S. 1876 129 The natural philosopher would tell him of pupils whom five, six, or seven years of training in pure mathematics had left incompetent to handle a simple question of Functional Analysis.

1927 Trans. Amer. Math. Soc. 29 136 We follow here the Stolz-Young definition of differential, whose applicability to functional analysis was emphasized by Fréchet.

1968 E. T. Copson Metric Spaces Pref. The theory of the topology of metric spaces..is not only the basis of functional analysis but also unifies many branches of classical analysis.

2014 Amer. Math. Monthly 121 167 Besides its many applications in functional analysis, the Banach–Alaoglu theorem has been applied to some other areas of mathematics.

1817 C. Babbage in Philos. Trans. (Royal Soc.) 107 213 The theory which I am now to explain..will at the same time unfold one of the most beautiful parallels between the integral and functional calculus which I have yet observed.

1933 M. Black Nature of Math. 63 These new symbols are both primitive in the functional calculus.

1945 Trans. Amer. Math. Soc. 57 373 We do not need to consider the general functional calculus that is used in the spectral theory.

2005 T. Burge Truth, Thought, Reason i. iii. 133 The propositional calculus is an abstraction from the predicate or functional calculus.

2011 F. Colombo et al. Noncommutative Functional Calculus i. 1 In this book we propose a novel approach to two important problems in the theory of functional calculus.

1814 J. F. W. Herschel in Philos. Trans. (Royal Soc.) 104 459 The equation 0 = φ² ( x ) − ( 1 + b ) · φ ( x ) + bx is a functional equation of the second order, and is satisfied by the following φ ( x ) = a + bx.

1922 Ann. Math. 24 121 The functional equation considered in this paper arose out of an extension of a problem in arrangements which occurs in the theory of linear algebra.

2015 P. Grindrod Math. Underpinnings Analytics iv. 146 Recursion and fractals are fundamental ideas and objects that are best expressed through functional equations.

1989 Financial Times 25 May 31/1 Pills and potions may soon lie unused in medicine cabinets, if functional food becomes as successful as analysts predict.

1990 Daily Tel. 14 Apr. 3/7 A new generation of Japanese foods that are claimed to slow down ageing, strengthen the immune system and substantially reduce the risk of fatal heart disease are on their way to Britain. Known as ‘functional foods’, they contain chemicals to aid digestion, added dietary fibre, new artificial sweeteners and a wide variety of largely untested anti-cholesterol agents.

2000 USA Today (Electronic ed.) 19 July The risks of using herbs in functional foods are ‘unknown because there have never been any clinical trials’.

2016 B. Caballero et al. Encycl. Food & Health II. 354/2 The rapidly growing market of functional foods indicates milk as a suitable vehicle for bioactive compounds.

1894 Sessional Papers Prov. Ont. XXVI. 65 Teachers see that formal grammar is of little importance, that functional grammar—if I may use the term—is the great mind awakener.

1917 Elem. School Jrnl. 18 259 Grammar based on error catalogues the formal errors and tries to eradicate them. Functional grammar does the same.

1968 S. C. Dik Coordination ix. 163 The basic (negative) property of a functional grammar of the type I propose is that it does not include transformational rules.

1985 M. A. K. Halliday Introd. Functional Gram. p. xiii A functional grammar is essentially a ‘natural’ grammar, in the sense that everything in it can be explained..by reference to how language is used.

2009 Mod. Lang. Jrnl. 93 62/1 The call for teaching grammar in discourse contexts has its roots in functional grammar and is founded largely on the belief that grammar deals not only with forms but also with semantics..and pragmatics.

1892 Chem. News 5 Feb. 73/2 Puleone contains the functional group of the ketones.

1957 G. I. Brown Introd. Org. Chem. i. 17 In a compound containing two or more functional groups, e.g. glycine.., which contains an –NH₂ and a –COOH group, one of the groups may affect the properties of the other.

2011 Antiviral Res. 92 37/2 The ethoxy group has been removed or substituted by other functional groups.

1931 N.Y. Libraries Feb. 163/2 Legal illiteracy as revealed by the census is much smaller than functional illiteracy.

2015 L. Cummings Pragmatic & Disc. Disorders v. 189 The standard explanation of functional illiteracy has pointed to factors such as sociocultural disadvantage.

1935 Sc. Rite News Bureau 16 Sept. (Illiterates section) Add to this 8,000,000 so-called functional illiterates—those who cannot read with understanding.

1967 Jrnl. Gen. Educ. 18 236 Today's functional illiterate would probably have been quite adequate in the 1800's, but today he has a problem.

2009 P. Rogers et al. Encycl. Distance Learning (ed. 2) 54/2 A functional illiterate can read such things as menus..but cannot..make meaning out of text.

1926 Jrnl. Educ. (Univ. of Boston School of Educ.) 22 July 87/2 We need functional literacy. There are probably 20,000,000 persons who cannot really read.

1976 R. Stone & J. Simmons Change in Tunisia 325 Certain specific cognitive skills, such as functional literacy are, however, more important predictors of earnings than simply years of primary education.

2016 Times Educ. Suppl. (Nexis) 16 Dec. As lovely as it is that my students have a marvellous time, it's lovelier still that they leave the classroom closer to functional literacy.

1988 European Heart Jrnl. 9 360/1 (heading) Functional magnetic resonance imaging of the heart using gradient echo sequences.

1998 Chicago Tribune 6 July i. 1/2 New technology called functional magnetic resonance imaging (fMRI), which produces real-time images of the brain, is helping doctors treat stroke patients more effectively.

2015 BBC Focus Sept. 53/1 Functional magnetic resonance imaging (fMRI) shows what the brain is doing, as well as how it looks.

1822 C. Babbage in Trans. Cambr. Philos. Soc. 1 64 (heading) Mr. Babbage on Functional Notation.

1926 Math. Gaz. 13 178 There are plenty of exercises in graphs, logarithms, partial fractions, and of questions involving applications of functional notation.

2013 G. J. Sussman & J. Wisdom Functional Differential Geom. Appendix B. 195 The use of functional notation avoids many of the ambiguities of traditional mathematical notation that can impede clear reasoning.

1969 Teacher Educ. in New Countries Feb. 208 The objectives of the primary school curriculum are (i) the acquisition of functional literacy and functional numeracy; [etc.].

1987 P. S. Westwood Commonsense Methods for Children with Special Needs vii. 127 Parents and employers agree that the key areas for functional numeracy are: counting, tables, use of the four basic processes, money management, time and measurement.

2015 Times (Nexis) 12 Nov. 6 Most inmates struggled with literacy but a greater proportion of them were numerate than the rest of the population: 79 per cent of prisoners had functional numeracy compared with 76 per cent of those outside.

1978 Communications ACM 21 619/2 Several programs are given to illustrate functional programming.

1987 New Scientist 4 June 97/1 (advt.) Experience in functional programming, compiler writing and fifth generation computer architectures would be an advantage.

2015 P. R. Nicolas Scala for Machine Learning i. 4 Functors and monads are important concepts in functional programming.

1924 Jrnl. Exper. Med. 39 677 For this lung volume we have preferred the term given by Lundsgaard.., functional residual air.]

1934 C. J. Wiggers Physiol. Health & Dis. xxiv. 343 The sum of the residual and reserve air is variously called the normal capacity, the midcapacity, or the functional residual capacity.

1969 Brit. Med. Jrnl. 20 Dec. 710/1 The present investigation was undertaken to measure blood gases and functional residual capacity (F.R.C.) in a group of [asthmatic] patients.

2000 J. Sundberg in J. Potter Cambr. Compan. Singing xix. 234 At a certain lung volume, generally near 40 per cent of maximum lung volume, the expiratory and inspiratory elasticity forces are equal. In tidal breathing, inhalations are started from this lung volume, which is called the Functional Residual Capacity, or FRC.

1930 J. R. Aiken Eng. Present & Past ii. 31 Besides possessing a large vocabulary, English continuously multiplies its ideas through what is known as functional shift.

1968 R. A. Lanham Handlist Rhetorical Terms i. 9 Anthimeria, functional shift, using one part of speech for another: ‘His complexion is perfect gallows’.

2013 K. Johnson Shakespeare's Eng. (2014) ii. 34 A common form of functional shift is making verbs out of nouns (sometimes called ‘verbing’).