BACKGROUND OF THE INVENTION
Field of the Invention
[0001] The present invention relates to shuttlecocks using artificial feathers.
Description of the Related Art
[0002] As badminton shuttlecocks, there are those using waterfowl feather (natural feather)
(natural feather shuttlecocks) and those using artificial feather (artificial feather
shuttlecocks) artificially manufactured using nylon resin and the like, for the feathers.
[0003] As is well known, natural feather shuttlecocks have a structure using approximately
16 natural feathers of geese, ducks, or the like, and the ends of the rachises of
the feathers are embedded into the hemispherical platform (base portion) made of cork
covered with skin, or the like. Then, the feather used for natural feather shuttlecocks
has a feature of the specific gravity being small and being extremely light. A feather
has high rigidity and thereby a unique flight performance and a comfortable feel when
hitting natural feather shuttlecocks can be perceived.
[0004] On the other hand, in artificial shuttlecocks using artificial feathers imitating
natural feathers, the rigidity of a rachis portion and a vane portion is lower than
that of the natural feathers. For this reason, the adjacent vane portions may intersect
(overlapping state of the vane portions may be reversed) when receiving the impact
of hitting a shuttlecock.
[0005] Thus, for example, in Japanese Patent Application Laid-open Publication No.
2009-160267, such intersection is prevented by bonding/fusing the adjacent vane portions or sewing
them up with a member such as a string or the like.
[0006] The aforementioned shuttlecocks have such a problem that works for preventing the
intersection are time-consuming.
[0007] The intersection of the adjacent vane portions depends on an overlap amount between
the vane portions, and the intersection can be considered to be able to be suppressed
by reducing the overlap amount. However, as will be described later, if the overlap
amount is reduced, clearance between the adjacent vane portions is increased, thereby
affecting the flight distance and the number of revolutions. For this reason, there
is a possibility of being unable to acquire stable flight characteristics.
[0008] The present invention has been made in view of such circumstances, and an object
thereof is to provide a shuttlecock capable of acquiring stable flight characteristics
regardless of an overlap amount between vane portions.
SUMMARY OF THE INVENTION
[0009] A shuttlecock according to an aspect of the present invention includes: a base portion;
and a plurality of artificial feathers arranged in an annular form on the base portion,
the artificial feathers respectively including vane portions and rachis portions supporting
the vane portions, each of the vane portions having a protruding portion protruding,
toward an other one of the vane portions adjacent to the each of the vane portions,
in a direction intersecting a direction of a face of the other one of the vane portions.
[0010] According to the shuttlecock of the present invention, stable flight characteristics
can be acquired regardless of an overlap amount between the vane portions.
[0011] Other features of the present invention will become apparent from descriptions of
the present specification and of the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
[0012]
Fig. 1 is a perspective view of an artificial shuttlecock when viewed from a base
portion side.
Fig. 2 is a perspective view of the artificial shuttlecock when viewed from an artificial
feather side.
Fig. 3 is an external view of an artificial feather in a comparative example 1.
Fig. 4A to Fig. 4C are explanatory diagrams of the artificial feather in the comparative
example 1.
Fig. 5 is a schematic diagram of a plurality of vane portions in the comparative example
1 when viewed from above.
Fig. 6 is a perspective view illustrating an arrangement state of vane portions of
an artificial shuttlecock in a comparative example 2.
Fig. 7 is a schematic top view of an arrangement state of the vane portions in the
comparative example 2 when viewed from above.
Fig. 8 is a top view illustrating an arrangement state of vane portions in an artificial
shuttlecock according to an embodiment of the present invention.
Fig. 9 is a perspective view illustrating an arrangement state of the vane portions
in the artificial shuttlecock according to an embodiment of the present invention.
Fig. 10 is a side view illustrating an arrangement state of the vane portions in the
artificial shuttlecock according to an embodiment of the present invention.
Fig. 11 is a side view of an arrangement state of the vane portions in the artificial
shuttlecock according to an embodiment of the present invention.
Fig. 12A to Fig. 12C are explanatory diagrams of an artificial feather 10 in the artificial
shuttlecock according to an embodiment of the present invention, wherein Fig. 12A
is a plan view of the artificial feather when viewed from a front side, Fig. 12B is
a plan view of the artificial feather when viewed from a back side, and Fig. 12C is
an A-A cross-sectional diagram in Fig. 12A and Fig. 12B.
Fig. 13 is a schematic top view of an arrangement state of the vane portions according
to an embodiment of the present invention.
Fig. 14 is an explanatory diagram illustrating a shape of a vane portion in a variation
1.
Fig. 15 is an explanatory diagram illustrating a shape of a vane portion in a variation
2.
Fig. 16 is an explanatory diagram illustrating a skirt portion in a variation 3.
Fig. 17A is an explanatory diagram illustrating a vane portion in a variation 4.
Fig. 17B is an explanatory diagram illustrating the vane portion in the variation
4.
DETAILED DESCRIPTION OF THE INVENTION
=== Summary ===
[0013] At least the following details will become apparent from descriptions of the present
specification and of the accompanying drawings.
[0014] A shuttlecock will become apparent which includes: a base portion; and a plurality
of artificial feathers arranged in an annular form on the base portion, the artificial
feathers respectively including vane portions and rachis portions supporting the vane
portions, each of the vane portions having a protruding portion protruding, toward
an other one of the vane portions adjacent to the each of the vane portions, in a
direction intersecting a direction of a face of the other one of the vane portions.
[0015] According to such a shuttlecock, stable flight characteristics can be achieved regardless
of an overlap amount between the vane portions. Further, since an overlap amount between
the adjacent vane portions can be reduced, occurrence of intersection can be prevented.
[0016] It is preferable that, in such a shuttlecock, each of the vane portions has a cut-out
portion at an end portion in a width direction thereof.
[0017] According to such a shuttlecock, an overlap amount between the adjacent vane portions
can easily be reduced, and occurrence of intersection can be prevented.
[0018] It is preferable that, in such a shuttlecock, the protruding portion is provided
at the end portion of each of the vane portions.
[0019] According to such a shuttlecock, clearance between the vane portions can be reduced
while the overlap amount is reduced.
[0020] In such a shuttlecock, the protruding portion and the cut-out portion may be formed
by bending each of the vane portions of a sheet type.
[0021] In such a shuttlecock, the vane portions may be respectively formed integrally with
the rachis portions.
[0022] According to such a shuttlecock, manufacturing costs can be reduced, and further
an overlap amount and clearance between the vane portions can be improved in accuracy.
=== Embodiments ===
<Basic Structure of Artificial Shuttlecock>
[0023] Fig. 1 and Fig. 2 are external views for explaining a basic structure of an artificial
shuttlecock 1 including artificial feathers 10. Fig. 1 is a perspective view of the
artificial shuttlecock 1 when viewed from a base portion 2 side. Fig. 2 is a perspective
view of the artificial shuttlecock 1 when viewed from the artificial feather 10 side.
[0024] The artificial shuttlecock 1 includes the base portion 2, the plurality of artificial
feathers 10 imitating natural feathers, and a string-like member 3 for fixing the
artificial feathers 10 to each other. The base portion 2 is structured such that,
for example, a cork base is covered with a thin layer. The base portion 2 has a hemispherical
shape having a diameter of from 25 mm to 28 mm, and has a flat face. The bases of
a plurality of artificial feathers 10 are embedded in an annular form along the circumference
of this flat face. A plurality of artificial feathers 10 are arranged in such a manner
that each clearance therebetween increases with distance from the base portion 2.
Further, as illustrated in the figures, each of the artificial feathers 10 is arranged
in such a manner as to overlap with another one of the artificial feathers 10 adjacent
thereto. Thus, a skirt portion 4 is formed with a plurality of artificial feathers
10. A plurality of artificial feathers 10 are fixed to each other with the string-like
member 3 (for example, a cotton thread).
<Structure of Artificial Feather (Comparative Example 1)>
[0025] Fig. 3 is an external view of an artificial feather 10 in a comparative example 1.
Further, Fig. 4A to Fig. 4C are explanatory diagrams of the artificial feather 10
in the comparative example 1. Fig. 4A is a plan view of the artificial feather 10
when viewed from the front side. Fig. 4B is a plan view of the artificial feather
10 when viewed from the back side. Fig. 4C is a diagram of the artificial feather
10 when viewed from above. Note that the members which have already been described
are denoted by the same reference numerals.
[0026] The artificial feather 10 includes a vane portion 112 and a rachis portion 14. The
vane portion 112 is a portion corresponding to a vane of a natural feather, and the
rachis portion 14 is a portion corresponding to a rachis of a natural feather. In
the figures, an up-and-down direction is defined along the rachis portion 14, and
the side on which the vane portion 112 is provided is defined as "up" while the opposite
side is defined as "down". Further, in the figures, a right-and-left direction is
defined along a direction (width direction) of the vane portion 112 extending from
the rachis portion 14. Further, in the figures, front and back are defined on the
basis of a state where the artificial feather 10 has been embedded into the base portion
2. Hereinafter, components may be described according to the up and down, the right
and left, and the front and back, which have been defined in the figures.
[0027] The vane portion 112 of the comparative example 1 is a member of a sheet form imitating
the shape of the vane of a natural feather. The vane portion 112 can be structured
using, for example, a nonwoven fabric, a resin or the like. In the case of the nonwoven
fabric, a reinforcement coating is formed on a surface of the vane portion 112, in
order to prevent fibers of a nonwoven fabric from being loosen when the shuttlecock
is hit. The reinforcement coating can be formed by applying a resin, and various methods
are employed therefor such as a dip method, a spray method, a roll coat method and
the like. Further, note that the reinforcement coating may be formed on a single side
of the vane portion 112 or both sides thereof. Further, the reinforcement coating
may be formed on the whole surface of the vane portion 112 or a part thereof.
[0028] The rachis portion 14 is a long and thin member, imitating the shape of a rachis
of a natural feather, as well as the member supporting the vane portion 112. The rachis
portion 14 includes a vane support portion 14A supporting an area from the upper end
to the lower end of the vane portion 112, and a calamus portion 14B protruding from
the vane portion 112. The calamus portion 14B is a portion corresponding to a calamus
of a natural feather (note that this part is also designated as a quill). The lower
end of the calamus portion 14B is embedded in the base portion 2 and fixed to the
base portion 2.
[0029] The rachis portion 14 in the figures is illustrated in a quadrangle shape in cross
section. However, the rachis portion 14 may be in a rhombic shape, a circular shape,
or an elliptical shape in cross section. Further, the rachis portion 14 may be in
different shapes in the up-and-down direction so as to be, for example, in a circular
shape on the upper side and a quadrangle shape in the lower side.
[0030] Further, the rachis portion 14 in the figures is formed such that the size of a cross
sectional shape thereof becomes larger toward the lower side thereof. However, the
size of the cross sectional shape may be uniform in the up-and-down direction without
any change, or the size of the cross sectional shape may be changed in a smooth manner.
[0031] Note that the rachis portion 14 and the vane portion 112 may be separated or integrated.
For example, when a resin is used as a material of the rachis portion 14 and the vane
portion 112, the rachis portion 14 and the vane portion 112 can be integrally molded
by injection molding using a mold. Further, when they are separated, the vane portion
112 may be supported on the back side of the vane support portion 14A, or the vane
portion 112 may be supported on the front side of the vane support portion 14A. Further,
the vane portion 112 may be structured with two sheets and may be structured such
that the vane support portion 14A is sandwiched between two sheets of the vane portion
112. Further, the vane portion 112 may be embedded into the inside of the vane support
portion 14A.
[0032] In the aforementioned artificial feathers 10, "intersection" possibly occurs which
indicates that relationship of the front and back (layered state) between the adjacent
vane portions 112 becomes reversed relationship when the shuttlecock is hit. If the
intersection occurs, it is difficult to recover to their initial front-and-back relationship
even when the shuttlecock continues being hit, resulting in a problem of an unstable
flight trajectory. Note that, in a natural feather, since a vane is not in a film
state but an assembly of feather body called barbs growing from a rachis, the barbs
of the vane slip through the barbs of another vane adjacent thereto even if the intersection
occurs, thereby being able to easily recover from the intersection state to the initial
state while the shuttlecock is being hit.
[0033] Fig. 5 is a schematic diagram of a plurality of vane portions 112 in the comparative
example 1 when viewed from above. As illustrated in the figure, a plurality of vane
portions 112 are arranged in such a manner that each vane portion overlaps with another
vane portion with an angle thereof being gradually changed. Note that, in the following
description, an overlap amount between the adjacent vane portions is given as T. Further,
clearance between the adjacent vane portions is given as S.
[0034] For example, in Fig. 5, when the adjacent vane portions 112 are spread out once in
the right-and-left direction (until they do not overlap) at the time when the shuttlecock
is hit, and return to the initial state, the overlapping state of the vane portions
112 may be reversed. When such intersection occurs, stable flight characteristics
may not be obtained.
[0035] Thus, it is preferable to take measures to prevent occurrence of the intersection
at the time when the shuttlecock is hit. The intersection may be prevented by bonding/fusing
the adjacent vane portions 112 together or sewing them up with a member such as a
string, however, in such cases, there arises a problem that intersection preventing
works require troublesome tasks.
<Structure of Artificial Feather (Comparative Example 2)>
[0036] In a comparative example 2, a cut-out portion is provided in a vane portion, thereby
making an overlap amount T between the adjacent vane portions smaller than that in
the comparative example 1. By doing so, occurrence of the intersection can easily
be suppressed. For example, in a state where the adjacent vane portions 112 do not
substantially overlap with each other in Fig. 5 (T is substantially zero), the intersection
does not easily occur.
[0037] Fig. 6 is a perspective view illustrating an arrangement state of vane portions 212
of an artificial shuttlecock 1 in the comparative example 2. Fig. 7 is a schematic
top view of an arrangement state of the vane portions 212 in the comparative example
2. Note that Fig. 6 and Fig. 7 illustrate only a part of a plurality of vane portions
212 for convenience of description. Further, since the structure thereof is similar
to that in the comparative example 1 with the exception of the vane portions, the
description thereof will be omitted.
[0038] As compared with the vane portion 112 in the comparative example 1, the vane portion
212 in the comparative example 2 is formed with a cut-out portion 212a at an end on
one side in the width direction thereof (right-and-left direction). As such, since
the vane portions 212 in the comparative example 2 is provided with the cut-out portion
212a, the length of each of the vane portions 212 in the width direction is shorter
than the length of the vane portion 112 in the width direction in the comparative
example 1. Thus, each overlap amount T between the adjacent vane portions 212 is smaller
than each overlap amount T in the comparative example 1 (Fig. 5).
[0039] As such, by decreasing the overlap amount T, the intersection of the adjacent vane
portions 212 (reversal of overlapping state) does not easily occur, even on impact
when a shuttlecock is hit. Thus, the intersection of the vane portions 212 can be
prevented. However, in this comparative example 2, with the cut-out portion 212a being
provided in the vane portions 212, clearance S between the adjacent vane portions
212 becomes greater than that in the comparative example 1.
[0040] In the artificial shuttlecock 1, flight trajectory and rotation are controlled by
air flow in each clearance S between the vane portions. If the clearance S between
the adjacent vane portions 212 is too great as in this comparative example 2, the
number of revolutions is increased to more than the appropriate value. As a result,
the flight trajectory greatly curves. In contrast, if the clearance S is too small,
the number of revolutions becomes smaller than the appropriate value. As a result,
the breaks appropriate for the flight trajectory are not applied.
<Structure of Artificial Feather (Embodiment of the Present Invention)>
[0041] In an embodiment of the present invention, even when an overlap amount T between
the vane portions is reduced, the stable flight characteristics are to be obtained
regardless of the overlap amount, by appropriately adjusting the clearance S.
[0042] Fig. 8 is a top view illustrating an arrangement state of vane portions 12 of an
artificial shuttlecock 1 according to an embodiment of the present invention. Fig.
9 is a perspective view illustrating an arrangement state of the vane portions 12
of the artificial shuttlecock 1 according to an embodiment of the present invention.
Fig. 10 and Fig. 11 are side views illustrating an arrangement state of the vane portions
12 of the artificial shuttlecock 1 according to an embodiment of the present invention.
These figures illustrate only a part of a plurality of vane portions 12 for convenience
of description.
[0043] Further, Fig. 12A to Fig. 12C are explanatory diagrams illustrating an artificial
feather 10 of the artificial shuttlecock 1 according to an embodiment of the present
invention. Fig. 12A is a plan view of the artificial feather 10 when viewed from the
front side. Fig. 12B is a plan view of the artificial feather 10 when viewed from
the back side. Fig. 12C is an A-A cross-sectional diagram in Fig. 12A and Fig. 12B.
Note that the members which have already been described are denoted by the same reference
numerals, and the descriptions thereof will be omitted.
[0044] The vane portion 12 has a cut-out portion 12a similar to the cut-out portion 212a
of the vane portions 212 in the comparative example 2. This cut-out portion 12a is
in such a shape that an overlap between the adjacent vane portions 12 is reduced.
Specifically, the cut-out portion 12a is provided in a curved shape (concave shape)
corresponding to a curved shape (convex shape) of a right-side end portion of the
vane portion 12. Further, the vane portion 12 has a flap portion 12b (corresponding
to a protruding portion) at a left end on the front side thereof. This flap portion
12b protrudes toward another vane portion 12 adjacent to the vane portion 12 (more
specifically, toward a direction intersecting a direction of a face of another vane
portion 12 adjacent to the vane portion 12). In an embodiment of the present invention,
an angle θ formed between the face of the vane portion 12 and the flap portion 12b
in Fig. 12C is 90 degrees (with an error of plus or minus several degrees).
[0045] Fig. 13 is a schematic top view of an arrangement state of the vane portions 12 according
to an embodiment of the present invention when viewed from above.
[0046] As described above, the vane portion 12 according to an embodiment of the present
invention is provided with the cut-out portion 12a and the flap portion 12b. The length
of each vane portion 12 in the width direction (right-and-left direction) is reduced
by the cut-out portion 12a being provided, and an overlap amount T becomes smaller
than that in the comparative example 1 (Fig. 5). For this reason, occurrence of the
intersection of the adjacent vane portions 12 can be prevented. Further, since the
flap portion 12b is provided, the clearance S between the adjacent vane portions 12
can be adjusted more appropriately than that in the comparative example 2 (Fig. 7).
For this reason, a flight distance and rotation can be improved, thereby being able
to obtain stable flight characteristics.
[0047] Note that, in an embodiment of the present invention, a thermoplastic resin is used
for the vane portion 12. Further, the thermoplastic resin is used for the rachis portion
14 as well. Then, the components of the artificial feather 10 including the vane portion
12 is integrally manufactured (molded) with a mold, not shown, using well-known injection
molding techniques such as two-color molding and insert molding. By doing so, manufacturing
costs can be reduced, and further an overlap amount T and clearance S can be improved
in accuracy.
[0048] As described hereinabove, the artificial shuttlecock 1 according to an embodiment
of the present invention includes the base portion 2 and a plurality of artificial
feathers 10 arranged in an annular form on the base portion 2, and the artificial
feathers 10 each include the vane portion 12 and the rachis portion 14 supporting
the vane portion 12. Each vane portion 12 has the cut-out portion 12a, and has the
flap portion 12b at an end portion thereof on the cut-out portion 12a side, the flap
portion 12b protruding toward another vane portion 12 adjacent to such each vane portion
12.
[0049] With the flap portion 12b being provided as such, the clearance S between the adjacent
vane portions 12 can be appropriately adjusted. Thus, even in the case where an overlap
amount T is reduced, stable flight characteristics (flight distance and rotation,
etc.) can be obtained.
[0050] Note that, in an embodiment of the present invention, the cut-out portion 12a is
provided in the vane portion 12 at one end in the width direction thereof, it is not
limited thereto. For example, such cut-out portions that an overlap amount between
the adjacent vane portions is reduced may be respectively provided at both ends of
each of the vane portions in the width direction. However, if a cut-out portion is
provided at one side as in an embodiment of the present invention, an overlap amount
T can easily be reduced. Further, the cut-out portion 12a is not necessarily provided.
For example, a width of the vane portion 12 may be reduced (narrowed) to such an extent
that the adjacent vane portions 12 manage to overlap each other, and the flap portion
12b may be provided at an end of the vane portion in the width direction.
[0051] Further, in an embodiment of the present invention, the flap portion 12b is provided
on the front side of the vane portion 12, but it is not limited thereto. For example,
it may be provided on the back side of the vane portion 12 (specifically, the back
side of the end portion not formed with the cut-out portion 12a). Further, in an embodiment
of the present invention, the flap portion 12b is provided along the end portion of
the vane portion 12, but it is not limited thereto. For example, it may be arranged
in parallel to the end portion and slightly closer to the rachis portion 14. Alternatively,
it may be arranged not along the end portion (not in a curved manner) but linearly.
[0052] Further, in an embodiment of the present invention, the cut-out portion 12a is formed
in a concave shape in the vane portion 12, but it is not limited thereto. For example,
it may be formed linearly. Note that, since an end portion of the vane portion 12
on a side not provided with the flap portion 12b is in a convex shape, the cut-out
portion in a concave shape can make an overlap amount T smaller.
=== Variations ===
<Variation 1>
[0053] Fig. 14 is an explanatory diagram illustrating a shape of a vane portion 12 in a
variation 1.
[0054] In the variation 1, the cut-out portion 12a is formed only in an upper portion in
the vane portion 12. Thus, an overlap amount T (diagonally shaded portion in the figure)
between the adjacent vane portions 12 is not uniform over the positions in the overlap
amount T in the up-and-down direction. In this example, the overlap amount T is increased
around the center of the vane portion 12 in the up-and-down direction. As such, the
overlap amount T between the adjacent vane portions 12 does not have to be uniform
in the up-and-down direction. Note that structure is not limited to such structure
as illustrated in Fig. 14 but, for example, the cut-out portion 12a may be formed
at a position opposite to that in Fig. 14 (in other words, a lower portion of the
vane portion 12).
[0055] Further, in this variation 1 as well, the flap portion 12b should be provided along
the end portion on the cut-out portion 12a side in the vane portion 12. By doing so,
the clearance S can be appropriately adjusted, and stable flight characteristics can
be obtained.
<Variation 2>
[0056] Fig. 15 is an explanatory diagram illustrating a shape of the vane portion 12 in
a variation 2.
[0057] As understood from the figure, the vane portion 12 in the variation 2 varies, in
protruding amount (protrusion length) of the flap portion 12b, with the upper side
and the lower side. Thus, the clearance S between the adjacent vane portions 12 is
not uniform over the positions in the clearance S in the up-and-down direction. Specifically,
as understood from the figure, the clearance S increases with decreasing distance
from a lower end, and the clearance S decreases with decreasing distance from an upper
end. As such, an amount of the clearance S may vary with the position in the clearance
S in the up-and-down direction.
[0058] Note that structure in which the clearance S varies with the position in the vane
portions is not limited to this example. For example, an inverted case may be possible
(that is, the clearance S decreases with decreasing distance from the lower end, and
the clearance S increases with decreasing distance from the upper end).
<Variation 3>
[0059] Fig. 16 is an explanatory diagram illustrating a skirt portion 4 in a variation 3.
In the variation 3, using a mold for integrally forming the skirt portion 4 (the artificial
feather 10 (the vane portion 12 and the rachis portion 14) and the string-like member
3), the skirt portion 4 is integrally formed by injection molding as illustrated in
Fig. 16.
[0060] Note that, for this mold, such a mold in which the positions of the axes of the rachis
portions 14 and the angle of the vane portion is fixed is used.
[0061] As such, by integrally forming those portions in the skirt portion 4 by injection
molding, more manufacturing costs can be reduced, and further an overlap amount T
and clearance S can be improved in accuracy.
<Variation 4>
[0062] In variation 4, each of the cut-out portion 12a and the flap portion 12b is formed
by folding (bending) the vane portion 12 of a sheet type (in a planner state).
[0063] Fig. 17A and Fig. 17B are explanatory diagrams illustrating the vane portion 12 in
the variation 4. In Fig. 17A is a diagram illustrating a state before folding, and
Fig 17B is a diagram illustrating a state after folding.
[0064] In this variation 4, the flap portion 12b and the cut-out portion 12a, as illustrated
in Fig. 17B, are formed by folding back the vane portion 12 of a sheet type of Fig.
17A by making a valley fold along a dotted line of the vane portion 12 of Fig. 17A.
[0065] As such, the cut-out portion 12a and the flap portion 12b may be formed by folding
back the vane portion 12 of a planner state. Note that when the flap portion 12b is
formed as in this variation 4, it is desirable that an angle θ of Fig. 12C is a sharp
angle.
=== Others ===
[0066] The above embodiments of the present invention are simply for facilitating the understanding
of the present invention and are not in any way to be construed as limiting the present
invention. The present invention may variously be changed or altered without departing
from its spirit and encompass equivalents thereof.