The «quants» who could speak the new
mathematical language of the Street — alpha, beta, mean - variance optimization, and the Black - Scholes / Merton option - pricing formula — were given great status and even greater compensation.
He spent nearly a decade in the Netherlands, where he worked on describing the large scale structure of the universe using
the mathematical language of fractals, as well as on software projects for radio astronomy.
They contain with their very internal relations incompatibilities, contraries, or — in
the mathematical language of Plato — incommensurabilities.
Johannes Kepler: 1571 - 1630 German Astronomer (planetary orbits, optics,
mathematical language of science The 3 laws of planetary motion.
Not exact matches
Facing fully real things, we render them knowable in the images
of language, art, and
mathematical science.
A convinced Platonist, at least with regard to the existence
of mathematical laws, Davies rejects the cultural view
of mathematics merely as a
language created by man to describe the natural world; and like his colleague Roger Penrose (one
of the foremost theoreticians on black holes) he flatly asserts that
mathematical laws have an existence
of their own:
In the
language of mathematical logic, at least as it was current in Whitehead's day, a proposition is produced from a propositional function by substituting a name as value for the variable in the argument position
of the function, or by quantifying over a range
of such values.
The work
of the left hemisphere is primarily logical thinking,
language ability and
mathematical functioning.
«When the physical model
of wave - motion in a material medium had to be abandoned in physics», writes Mary Hesse, «it left its traces in the kind
of mathematics which was used, for this was still a
mathematical language derived from the wave equations
of fluid motion, and so, for the mathematician, it carried some
of the imaginative associations
of the original physical picture.»
In our framework and
language, we would say that what entifies is that which tends to admit a continuous projection into generalized
mathematical spaces; moreover, the particular projections that we choose are those that are useful in the derivation
of regular
mathematical features.
The meaning for mankind
of the Incarnation
of God in all that it meant two thousand years ago; in the deeper and more urgent meaning it bears for men today, can not be expressed fittingly in the clipped
language of mathematical science.
Kraus says that eternal objects «form the patterns structuring concrete fact» and «the forms structuring the togetherness
of data into a datum
of experience — eternal objects in Whitehead's
language — are given for all times in ordered, intelligible, interrelated sets like
mathematical systems» (ME 30).
We have four philosopher - scientists in the Dialogues: Margaret Masterman, developing a new theory
of language; Christopher Clarke, a
mathematical physicist working out a theory
of space; Rupert Sheldrake, who has a hypothesis
of «formative causation» as supplementing energetic causation; and Jonathan Westphal, who is working on the philosophical psychology
of colour perception.
These are part
of metamodels
of language, such as the Thesaurus model which has a
mathematical structure, but this is different from bare
language awareness, which is an adaptation to hearing in time.
problem which already pushes toward abolishing the unquestioned privilege
of «concepts
of the material world» formulated in
mathematical language, in order to pave the way for a more adequate and at the same time more comprehensive conception
of the world.
In spite
of the acknowledged difficulties, he continues to try for a few years to preserve the claims to effectiveness and the privilege
of the theory
of the world formulated only in
mathematical language.
Contrary to the popular idea
of mathematical symbolism as comprising the
language of mathematics or more generally the
language of the exact sciences, we find
mathematical symbols treated here in a significantly different way.
First, Whitehead emphasizes that the signs for numerals, letters, and
mathematical operations are not the outward side
of a
language essentially different from, and more mysterious than everyday
language, but that they are introduced to relieve the brain (see IM 39) and «to make things easy» (IM 40).
The true testing ground for the implicate - order strategy, it seems to me, may indeed be biology rather than physics, where abstract methods are so powerful as to perhaps make it dispensable: just as the old style building - block materialist was refuted not by philosophical polemic, but by the one authority in which he trusted, i.e., by physics itself, so the nothing - but reductionist in contemporary biology will modify his views should it be possible some day to provide him with a
mathematical language that fills the currently existing gap between our formal knowledge
of gene structure and combinations, and our intuitive apprehension
of growth and shape.
There can never be an absolutely final translation
of the New Testament, for (1) we do not know with
mathematical precision what its authors meant or how their readers understood them, and (2) our own
language changes from age to age and words acquire and lose meanings.
At the very heart
of the beast Cuomo created in education law last spring is
language that links a complicated and demonstrably unreliable
mathematical formula called a growth score as the tool to be used in evaluating teachers.
These ideas might sound like the stuff
of late - night dorm - room conversations, but Barbour has spent four decades hammering them out in the hard
language of mathematical physics (pdf).
Several years ago, Kandler and her colleagues decided to make a
mathematical model
of the speakers
of an endangered
language, to provide a kind
of test environment for programs that encourage the learning
of local
languages.
In her course A Tour
of the Subatomic Zoo, she rips the subject free
of most
of its
mathematical moorings, using plain
language.
MinecraftEdu, a version
of the game that teachers created for educational purposes, teaches students
mathematical concepts including perimeter, area and probabilities as well as foreign
languages.
Because IUT is so different from other
mathematical approaches, much
of the
language is unfamiliar to mathematicians.
IBM's megacomputer, Watson, creamed the hominid competition at the quirky, punny, idiosyncratic Jeopardy! This contest, calling on such skills as
language, grammar, and wordplay, is among the most human
of games — much more so than the
mathematical system
of chess, which IBM's Deep Blue mastered in the 1990s.
While studying their
language and culture, Andrea Bender and Sieghard Beller, anthropologists at the University
of Bergen in Norway, were astonished to find a
mathematical system that seems to mix base - 10 and base - 2.
When they were thinking about
mathematical subjects, a dorsal frontoparietal network
of the brain was activated, a network which showed no overlap with the
language regions.
There is therefore a
mathematical network in the brain, which is not that
of language.
For some, such as Noam Chomsky,
mathematical activity emerged in humans as a result
of their capacity for
language.
And, he continues, «given their extensive training in sophisticated
mathematical techniques, the preponderance
of mathematics in particle physicists» accounts
of reality is no more hard to explain than the fondness
of ethnic groups for their native
language».
Using
mathematical and computational approaches, he has studied evolution in a range
of contexts, including that
of networks through evolutionary graph theory and
languages in the field
of culturomics.
NIMBioS Seminar: Using the
mathematical programming
language R for statistical modeling with counts
of bats
The visual
language of Ex Machina is
mathematical and oppressive, just like the men trying to control Ava with their very narrowly defined ideas
of what she can be.
Teachers
of Key Stage 2 and 3 looking for ready made, tried and tested cross-curricular lesson plans, here's a question for you: what links modern children's myths and fables, geographic landmarks,
mathematical code challenges, Sufi poetry, musical mastery and
language learning?
As Checker Finn once noted, they respect basic skills,
mathematical computation, the conventions
of the English
language, good literature and America's founding documents.
• count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number • count, read and write numbers to 100 in numerals; count in multiples
of 2s, 5s and 10s • given a number, identify 1 more and 1 less • identify and represent numbers using objects and pictorial representations including the number line, and use the
language of: equal to, more than, less than (fewer), most, least • read and write numbers from 1 to 20 in numerals and words • read, write and interpret
mathematical statements involving addition (+), subtraction -LRB--) and equals (=) signs • represent and use number bonds and related subtraction facts within 20 • add and subtract one - digit and two - digit numbers to 20, including 0 • solve one - step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 =??
Learning the
language and symbols and representations
of mathematical concepts; it's no good just having a maths curriculum that is context free, children need to know how to bring their everyday real live experience to the classroom and see how these experience are relevant to maths.
Children must understand how
language links with symbols because children sometimes understand that there are a whole number
of words that they should say when they see a certain symbol but they don't know how to construct the
mathematical words — i.e when adding and using the word «more» — when thinking about a context
of I've got three «more than» Jane and she's got 8» —
mathematical images supporting understanding.
That's the part
of the teacher, to support this, to clarify, for example, vocabulary, the use
of terms, or to introduce correct
mathematical language.
Use
of mathematical language.
This was a set
of end
of topic «challenges» on which they worked in pairs so they could discuss and use
mathematical language and apply the skills they had learned.
This bundle contains all 4
of my learning games: Grand Theft Pokemon (for helping children understand
language devices) Guardians
of the Grammarxy (for helping children build confidence with grammar) Angry Words (for helping students understand different word types) Minion Maths (a game designed to reinforce the basic
mathematical processes) Buy as a bundle and save a quarter off the total cost!
Teachers with more
mathematical knowledge for teaching were more likely to supply
mathematical explanations, to use better concrete models
of mathematical processes, and to «translate» more accurately between students» everyday
language and
mathematical language.
Other provisions that lend a more credible basis to the view that inclusive education has been promoted in the Act, are provisions such as Section 28 which provides for designing and developing new assistive devices, teaching aids, special teaching materials and other such items necessary to provide «equal opportunities in education'to a child with disability; and clauses (f), (g), (h)
of Section 29, which provides for suitable modification in the examination system through elimination
of purely
mathematical questions for the benefit
of blind students and those with low vision (f); restructuring
of curriculum for the benefit
of children with disabilities (g); restructuring the curriculum for benefit
of students with hearing impairment to facilitate them to take only one
language as part
of their curriculum (h).
According to the National Center
of Learning Disabilities, a learning disability is «a disorder in one or more
of the basic psychological processes involved in understanding or in using
language, spoken or written, which disorder may manifest itself in the imperfect ability to listen, think, speak, read, write, spell, or do
mathematical calculations».
The rest
of the time is for the audience to browse the different outcomes
of the inquiry: properly cited research, an English text
of each student's choice — an explanatory or informational text, a short story, or a collection
of poems, for example — an infographic
of mathematical data and statistics, written work in the students» native
languages, a related art piece, and more.
Included are opportunities for children to create pictorial representations
of fractions, interpret pictorial representations
of fractions, practice their fluency skills, use
mathematical language in reasoning responses and problem solve.
NUMERICAL REASONING SPEAKING FRAMES These speaking frames support the development and reinforcement
of learners» numeracy skills and
mathematical language in Y2.