Word Finder - locus

definition

A place or locality, especially a centre of activity or the scene of a crime.

example

The cafeteria was the locus of activity.

definition

The set of all points whose coordinates satisfy a given equation or condition.

example

A circle is the locus of points from which the distance to the center is a given value, the radius.

definition

A fixed position on a chromosome that may be occupied by one or more genes.

definition

(chiefly in the plural) A passage in writing, especially in a collection of ancient sacred writings arranged according to a theme.

The locus of these intersections is the quadratrix.

People either have an external or internal locus of control.

By means of this expression we may trace the locus of a band of given order as b varies.

Reading speed improves if a new trained retinal locus (TRL) is established in an area that is more favorable for reading.

Similarly any other property might be used as a definition; an ellipse is the locus of a point such that the sum of its distances from two fixed points (the foci) is constant, &c., &c.

In Newton's method, two angles of constant magnitude are caused to revolve about their vertices which are fixed in position, in such a manner that the intersection of two limbs moves along a fixed straight line; then the two remaining limbs envelop a conic. Maclaurin's method, published in his Geometria organica (1719), is based on the proposition that the locus of the vertex of a triangle, the sides of which pass through three fixed points, and the base angles move along two fixed lines, is a conic section.

The definitions given above reflect the intimate association of these curves, but it frequently happens that a particular conic is defined by some special property (as the ellipse, which is the locus of a point such that the sum of its distances from two fixed points is constant); such definitions and other special properties are treated in the articles Ellipse, Hyperbola and Parabola.

In the latest version you completely lose the locus of control, you have limited chances of stopping breakaways.

We have evidence for point mutations, recombination, gene conversions, and unequal crossing-over within and between homologs at this complex locus.

Summary An indifference curve is a locus of points about which the individual feels indifferent.

These results have quite important meaning in the survey of genomic locus which is responsible for radiation hypersensitivity.

While the chicken locus looks similar to the mammalian beta-globin loci at first glance, there are some major differences.

Other yet undiscovered genes outside the prion protein gene locus might also confer susceptibility.

The problem of the curves is solved by their reduction to a problem of straight lines; and the locus of any point is determined by its distance from two given straight lines - the axes of co-ordinates.

Also the auxiliarly circle is the locus of the feet of the perpendiculars from the foci on any tangent.

Newton defined the diameter of a curve of any order as the locus of the centres of the mean distances of the points of intersection of a system of parallel chords with the curve; this locus may be shown to be a straight line.

It may be shown to be the locus of the vertex of the triangle which has for its base the distance between the centres of the circles and the ratio of the remaining sides equal to the ratio of the radii of the two circles.

The axode is hence the locus of the instantaneous axis, whilst the centrode is the locus of the instantaneous centre in any plane parallel to the plane of motion.

Then the locus of P is the witch.

In a machine of any kind, each point describes a curve; a simple but important instance is the " three-bar curve," or locus of a point in or rigidly connected with a bar pivoted on to two other bars which rotate about fixed centres respectively.

Plucker first gave a scientific dual definition of a curve, viz.; " A curve is a locus generated by a point, and enveloped by a line - the point moving continuously along the line, while the line rotates continuously about the point "; the point is a point (ineunt.) of the curve, the line is a tangent of the curve.

Secondly, as to the inflections, the process is a similar one; it can be shown that the inflections are the intersections of the curve by a derivative curve called (after Ludwig Otto Hesse who first considered it) the Hessian, defined geometrically as the locus of a point such that its conic polar (§ 8 below) in regard to the curve breaks up into a pair of lines, and which has an equation H = o, where H is the determinant formed with the second differential coefficients of u in regard to the variables (x, y, z); H= o is thus a curve of the order 3 (m - 2), and the number of inflections is =3m(m-2).

Many well-known derivative curves present themselves in this manner; thus the variable curve may be the normal (or line at right angles to the tangent) at any point of the given curve; the intersection of the consecutive normals is the centre of curvature; and we have the evolute as at once the locus of the centre of curvature and the envelope of the normal.

The Attic tradition, reproduced in Euripides (Ion 1002), regarded the Gorgon as a monster, produced by Gaea to aid her sons the giants against the gods and slain by Athena (the passage is a locus classicus on the aegis of Athena).

Let APB be a semicircle, BT the tangent at B, and APT a line cutting the circle in and BT at T; take a point Q on AT so that AQ always equals PT; then the locus of Q is the cissoid.

If the tangents be at right angles, then the locus of the point is a circle having the same centre as the ellipse; this is named the director circle.

Bertin has shown that a useful picture of the form of these curves may be obtained by taking sections, parallel to the plate, of a surface that he calls the "isochromatic surface," and that is the locus of points on the crystal at which the relative retardation of two plane waves passing simultaneously through a given point and travelling in the same direction has an assigned value.

One definition, which is of especial value in the geometrical treatment of the conic sections (ellipse, parabola and hyperbola) in piano, is that a conic is the locus of a point whose distances from a fixed point (termed the focus) and a fixed line (the directrix) are in constant ratio.

Genetic characterization of the legs at odd angles angles locus, a new mutation causing motor neuron degeneration in a gene dose dependent manner.

We found evidence that recombination contributed to sequence divergence within at least one gene locus.

Let PP1P2 be the path of the moving point, and let OT, OT 1, OT2, be drawn from the fixed point 0 parallel and equal to the velocities at P, P 1, respectively, then the locus of T is the hodograph of the orbits described by P (see figure).

A genome-wide scan for human obesity genes reveals a major susceptibility locus on chromosome 10.

The gene has been identified at locus Xq27.

Of course, as luck would have it, she is the locus of the change that they have come back to repair - in normal time, she is killed in a traffic accident.

I pop over to Locus on a regular basis, and SciFiWire, but that's about it.

And yet theism - or monotheism - constitutes a special locus in the history of religion.

The expression " wisdom," as it is employed in the locus classicus, Prov.

The lemniscate of Bernoulli may be defined as the locus of a point which moves so that the product of its distances from two fixed points is constant and is equal to the square of half the distance between these points.

But a little before Tertullian, Irenaeus, though he does not use the word ordo, anticipates in some measure Tertullian's abstract term, for he recognizes a magisterii locus, " a place of magistracy " or " presidency " in the church.

In order that a large part of the field of view may be in focus at once, it is desirable that the locus of the focused spectrum should be nearly perpendicular to the line of vision.

Then the locus of the intersection of PQ and OM is the quadratrix of Dinostratus.

The Asiatic story then died away, but the name remained, and the royal presbyter was now assigned a locus in Ethiopia.

The pursuit of mechanical methods furnished a stimulus to the study of mechanical loci, for example, the locus of a point carried on a rod which is caused to move according to a definite rule.

This was sometimes known as the parlour, colloquii locus, the monks having the privilege of conversation here.

A system of circles is coaxal when the locus of points from which tangents to the circles are equal is a straight line.

It may be defined as a section of a right circular cone by a plane parallel to a tangent plane to the cone, or as the locus of a point which moves .so that its distances from a fixed point and a fixed line are equal.

The instantaneous centre will have a certain locus in space, and a certain locus in the lamina.

Hence the locus of J relative to AB, and the locus relative to CD are equal ellipses of which A, B and C, D are respectively the foci.

Again, that wrenches of arbitrary amounts about two given screws compound into a wrench the locus of whose axis is a cylindroid.

Since the given wrench can be replaced by a force acting through any assigned point P, and a couple, the locus of the null-lines through P is a plane, viz, a plane perpendicular to the vector which represents the couple.